diff --git "a/data/dm_maths/full_data_2/11069_11255.jsonl" "b/data/dm_maths/full_data_2/11069_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11069_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 4720771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 7*t. Let l(c) = 5*c**3 - 4*c**2 + 4*c**2 - c - 2*c**2. Suppose 3*u + 182 = 179. Let x be l(u). Determine m(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*k - 37, 0 = -2*r + 3*k - 763 + 765. Solve r*f - 70 = -57 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 368 (c) 0.1 (d) 59 (e) -9\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -115, -148, -219, -346, -547, -840, -1243?\n\"Answer: -3*d**3 - d**2 - 9*d - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 25.5. Let l = d - 1.6. Let g = 100\/7 - 521\/35. What is the third smallest value in 4, g, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100001001100110 (base 2) to base 3\nAnswer: 212022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1055 = 2*f + 3*p, 5*p = 1 + 14. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 11*a. Let z(d) = -6*d. Let m(y) = -3*p(y) - 5*z(y). Let k be m(-2). Suppose 2*c = k*c - 8, 0 = n + c - 135. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 7) + 12 + (10 - (9 + 0)) + 27\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 16925\nAnswer: -10155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -31*l + 119*l - 9 - 31*l - 74*l. Let a(g) = 8*g + 5. Give -5*a(h) - 2*x(h).\nAnswer: -6*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2735*x - 9936 = -2459*x for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f + 2. What is the remainder when (-52)\/(-338) - (-1 + (-958)\/26) is divided by k(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20066157 to the power of 1\/2, to the nearest integer?\nAnswer: 4480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -60, 2 in decreasing order.\nAnswer: 2, 0, -2, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -3, -151\/7, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*i**2*t - 2*i**2 - i*t - 75*i + 2535*t with respect to i.\nAnswer: 14*i*t - 4*i - t - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1493925*d**3 - 10*d**2 + 2300*d - 1?\nAnswer: 8963550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (35\/14)\/((-22)\/(-20) - 1). Let d = 67 + -62. What is the highest common factor of f and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 22) + 8 + 3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3 + 7*u + 16*u**2 - 4*u - 3*u + 4*u. Let x be l(-1). Solve -4*o - o = x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5720, 22717, 51046, 90707, 141700, 204025, 277682?\n\"Answer: 5666*b**2 - b + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -207652.2 to the nearest 1000.\nAnswer: -208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*z - 0*z - 4*h, h + 1 = 3*z. Let x(k) = 6*k**2. Let u be x(z). Let w be 4*(u\/2)\/6. Solve 0 = -r + w*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47914, 47916, 47918, 47920, 47922, 47924?\n\"Answer: 2*k + 47912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9\/25 + 6\/25. Let b = -40 - -40.1. Let t = -3.1 + b. What is the closest to 0 in t, 2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 11*n**7\/6 + 374*n**3\/3 + 22*n**2 - 18*n. Find the first derivative of b(k) wrt k.\nAnswer: 1540*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o + 12. Suppose 0*a - 8 = -a. Let r be q(a). Let y = -6 - r. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -22832672*h**2 + 15440. Let d(v) = 17741*v**2 - 12. Calculate 3860*d(l) + 3*x(l).\nAnswer: -17756*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-6))\/((-65)\/78). Suppose -3*h - 5595 = -6*v + v, -z*v + 4468 = -4*h. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(3\/5))*p**(-1\/2))\/(((p\/(p\/p**(-3\/7)))\/p*p)\/(p*(p**(-1\/10)*p)\/p*p))*(p**(-2))**2\/(((p\/(p*(p**(-3)\/p)\/p))\/p)\/p**(1\/3)) assuming p is positive.\nAnswer: p**(-676\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4746937512.\nAnswer: 2, 3, 59, 587, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*n = 154*n - 5*p - 19, n + p - 1 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**5\/20 + m**3\/6 + 8*m**2 - m. Let z be y(0). Solve 4*a + 2*u = -z, u - 8 = 2*a + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1620 + -1613 - (-2 - (3 + (1 - -36)))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 4749017?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(260\/(-84) + 3). What is the biggest value in -7\/3, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/6 and (-4)\/(-3) + 406\/(-48)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 5, -1, -0.007, -0.4 in decreasing order.\nAnswer: 5, -0.007, -0.4, -1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8346 - 8291. Is l greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 220.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207214, 207198, 207170, 207124, 207054, 206954, 206818, 206640?\nAnswer: 206414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 - 1.9. Let h = 2 - -5. Let c = -11 + h. Sort c, -0.1, g.\nAnswer: c, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - 4*a**2 - a**2 + (2 - 2 + a**2 + (2*a - 5*a + 2*a)*(2*a + a - a))*(0 + 1 + 1).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 25 = 2*s, 2*s + 0*x - 24 = -4*x. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/2 of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 5 - 3*a - 1\/2*a**2. Suppose 0 = -4*h + 1 - 25. Let f(t) = -4*t - 11. What is h*f(k) + 22*d(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*n - 5*n + 4*n)*(-2 + 2 - 2*n) - 4*n**2 - 7 + 7 - 1806*n**2 - 104*n - 59*n + 163*n)*(8 - 4 + 3) as o*n + u + d*n**2 and give d.\nAnswer: -12684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 656?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - -61. Suppose f - 134 = w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12152.3 nanometers to centimeters.\nAnswer: 0.00121523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 13. Let v = -4 + y. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r. Let b = -1\/117 - -358\/819. Let f = 9969\/5 + -1993. What is the biggest value in r, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g + 83. Let j be u(-13). Let w be j\/62 - (-9)\/2. Solve -w*h = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -1 + 1)*-2 + 2.\nAnswer: -2*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 6. Suppose -b = -4*t + v + 3, -v = -5*t + 6. Solve -1 = -t*f + 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 0)*(-3295 + 3295 - 175*r).\nAnswer: 875*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241 + 13254?\nAnswer: 13013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166*y**2 - 117*y?\nAnswer: 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 0*k + 5\/2*k**2 - 13 + 1\/3*k**3. Let g be i(-5). Solve g*o - 5*o = -15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/40290939 and -27\/1079.\nAnswer: 40290939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 52, 0.1, -1\/7, 409?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 190\/(-20) + 2\/(-4). Let o = k - -12. Suppose -1\/2*d**5 + 0 - 1\/2*d - 2*d**4 - 2*d**o - 3*d**3 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -l + 6. Let p(s) = 13 + l*s + 4 - 12. Give p(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66.381 - 3.619. Which is the third biggest value? (a) 5 (b) o (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 298329888 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011101 + 1000000?\nAnswer: 10111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10b07cc (base 13) to base 2.\nAnswer: 10011100111011100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, -8645, 10, 5 in decreasing order.\nAnswer: 148, 10, 5, -8645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1475 = -l, l - 2 = -1. Suppose -3*b = 9, 5*i - u = 5*b - 4. Suppose 5*t = -0*t + i. Calculate the remainder when 26 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 0*s**2 + 0*s**4 + 0*s + 2\/3*s**3 + 0*s**6 + 0*s**5 - 1\/7*s**7 + 8. Find the third derivative of q(c) wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 5, -2\/9, -57, -2, 3\/13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3943639.1 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 47. Suppose 4*r = f - 310. Is r at most as big as -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 22 = -2*y, 18*c - 21*c = 3*y + 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -551300332 (base 6) to base 8\nAnswer: -45511140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6894 + -6895.8. Which is the third biggest value? (a) z (b) -1.9 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 9*a**2 - 137*a - 1. Let b be g(8). Let w = 1 - 1.2. What is the biggest value in b, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14993, 29983, 44983, 59999, 75037, 90103, 105203?\n\"Answer: s**3 - s**2 + 14986*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(120)\/sqrt(3))\/sqrt(4))\/sqrt(2).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -14*a + 1. Let d be 6 + (-72)\/4 - 3\/(-1). List the prime factors of v(d).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7210211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156\/25 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694*o + t + 5 = -690*o, 4*t + 3 = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13243131 (base 5) to base 4\nAnswer: -200300112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -3754\nAnswer: -1126.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -b - 18112, 4*b - 10*l = -14*l - 72368. Let k = b - -3183329\/176. Find the common denominator of k and 81\/20.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/3 (b) -0.04 (c) -3.9 (d) 59 (e) 0.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.18, 17\/6, 2\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + ((-24794)\/(-637))\/2.\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 595*z - 23250.\nAnswer: 5*(z - 31)*(z + 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 77 - 107 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 198 + (-3 + -6)\/(-3). Let v = t + -97. Find the second derivative of v*j - 96*j + 4 - 2*j**5 - 4 wrt j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -4, -3, 40139 in descending order.\nAnswer: 40139, 3\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3.55022 * 31\nAnswer: -110.05682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -146?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 708 - 3768. Let w = -289 + b. Is w a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - (-3 - -1)) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*w**4 + 305*w**2 + 50230?\nAnswer: -40*w**3 + 610*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - 5*p**2 - 37*p - 15. Let d be x(-5). What is the greatest common divisor of d and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32758279 divided by 6739\nAnswer: 4861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17767 + 0.324537?\nAnswer: 17767.324537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.73, -3, 1\/17, 2\/3, -2, -22, -5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -8. Let y = 15 + -8. What is the remainder when v is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(72) - (sqrt(72) + 5*(sqrt(72) - (2*sqrt(72) + sqrt(72)) - sqrt(72))))\/(sqrt(90)\/(sqrt(250)*-2 - sqrt(250))).\nAnswer: -450*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.5 + -29.5. Let j = l - -14.2. Let z = 14 - 16. Sort j, -2\/3, 3, z in decreasing order.\nAnswer: 3, j, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*x = 2*x + 9, 4*x - 18 = -3*r. Let f(b) = -2*b + 1. What is f(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 15, -2*k - 33 = -5*k + s. Let n(p) = -p**3 + 5*p**2 + 37*p - 175. Let a be n(6). Suppose -a*m = -m + k. Is 1\/144 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10 = 0, -4*f + 0*h = -2*h + 4. Let s be (-8)\/(-45) + f\/5. Suppose 2*l + 2 = -0. Are s and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23662*k = -23664*k - 12*h + 90, -2*k + h = -38 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 568548?\nAnswer: -568547.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 5269.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1032 - -2344. Suppose -5*h + 773 + k = 0. Suppose 0*j - j = -3*v + h, 3*j = -9. What is v rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/12)\/((-2)\/40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -166041348558?\nAnswer: -166041348558.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**4\/4 + u**3\/2 + 6*u. Let s(h) = -16*h**2 + 16*h. Let p(f) = -22*o(f) + 4*s(f). Factor p(q).\nAnswer: 2*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a43f9 (base 16) to base 3.\nAnswer: -21011222222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**3 + 1762*v**2 - 1513714*v + 7524270 = 0?\nAnswer: -1417, 5, 531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*j - 185 = 0, 19*t = 17*t - j + 75. What is the remainder when 453 is divided by t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*c - 34. Let y(d) = 2*d + 23048*d**c + 4*d**2 - 3*d**2 - 3 - 23049*d**3. Let z(g) = g**3 - g + 1. Calculate -2*y(l) - 4*z(l).\nAnswer: -2*l**3 - 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -9010?\nAnswer: 9007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -4016527.\nAnswer: 14\/4016527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 - 3)*(1 + 5 - 2)*(2 - 2 + y) in the form l*y + k and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5327 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8*f = 3*f + 20, 20 = 4*l - 3*f. Solve -4 = -4*x + 4*a, x - 5*a - l = 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -458, -687, -916?\nAnswer: -1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/24*3*16. Suppose 3*n = 5*n - 4. Suppose -x - 3 = -5*s - a, n*s - a - 33 = 0. Calculate the highest common factor of 176 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*w - 4*n + 15, n = 4*w - 31. Suppose -11*a = -16*a + 25. Suppose 0 = -3*j + w, 4*g + a*j = -g + 80. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 2, -2, 1828, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b4d47 (base 16) in base 11?\nAnswer: -2214a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 8*r + 6. Let k(o) = -o - 1. Let c be (3 - 20\/8)*2. Let a(h) = c*f(h) + 6*k(h). Factor a(w).\nAnswer: -2*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 25*j - 20. Is 65 a factor of u(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + r + 4. Let g be d(3). Let b be (-24*3)\/(-3) - g. Calculate the greatest common divisor of b and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 9*n**2 - 3*n - 15. Calculate y(-7).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-304))\/(-2) - 17\/((-5168)\/396)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 95. Let c(s) = -4*s**2 + s + 83. Suppose 7*m = 4*m + 51. What is the remainder when c(n) is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 157*z**2 - 1909*z - 299721. Give o(-157).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 11:01 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*((-38)\/4 - -4). Let b = 15 - j. Suppose -5*l + 26 = -3*g, b*g - 5 = -0*l + l. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-20)*(-750)\/810*-3?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 82 divided by -20\nAnswer: -41\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-12)\/8 - 1)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251\/34 + -15\/2. Suppose -287*g - 191*g = 91*g - 569. Which is the nearest to 1? (a) 3\/5 (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 39 - ((12 - 48) + 24)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l**(-3\/7)*l)\/l)\/(l\/l**(1\/7))*(l**(-1\/2)*l*l)**(-16\/3) assuming l is positive.\nAnswer: l**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (3 - (1 - 0)). Suppose w = -3*d - q - 1, d + q + 4 = 1. Which is smaller: -1\/4 or d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 221, 361, 557, 827, 1189?\n\"Answer: 3*h**3 + 10*h**2 + 89*h + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*v = -6468 - 182 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1113, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/19448 and 57\/136.\nAnswer: 19448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57391300 rounded to the nearest one million?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 3*223688\/(-71892). Let m = -2\/1997 - n. Let h = 4503\/143 + -420\/13. Find the common denominator of h and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from {m: 1, j: 3, q: 5, s: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 6 + 34 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*i**4 + 106*i**4 + 13*i - 2*i**2 - 49*i**4 in the form l*i**3 + m*i + h*i**2 + b + z*i**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-263424)*-772 + 5\/(-240).\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*q = -56, -19*c + 7 = -18*c - 5*q. Let m(w) = -38*w + 102. What is the units digit of m(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbn when four letters picked without replacement from {r: 6, n: 1, b: 4, l: 3}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-1 - 2 - (-31 - -24)) + (-5 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -5212?\nAnswer: 10424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 16*x**2 - 19*x - 29. Let v be s(-17). Let l(c) = -c**3 - 4*c**2 + c + 4. Let f be l(-4). Solve -v*b = -f*b + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3bc (base 16) to base 13.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**2 + 218*i**3 - 137*i**3 + 144*i**3 + 176*i**3 in the form u + w*i**3 + h*i + r*i**2 and give w.\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:58 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.3153804?\nAnswer: -0.9461412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/62)*s**(8\/5)*s assuming s is positive.\nAnswer: s**(801\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 5:06 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1334 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143 + -25. Let v = 119 - j. Put v, 4, 2 in descending order.\nAnswer: 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c. Let v(k) = -k - 1. Let x be v(c). What is the units digit of x\/((-3)\/18) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40977488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18553537.\nAnswer: 937, 19801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 4*u - 8 = 0. Let a(r) = 13*r - 8. Let n be a(u). Let p = 22 - n. Solve -p = -j - 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 3*b. Suppose b = 3*s - 4*s + 2380. Round s to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 3:58 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -2, -1, 10903.\nAnswer: -82, -2, -1, 10903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 0) + 2 + 2. Suppose 1 + 11 = -4*u + 4*b, -2*u + 3*b - 11 = 0. Let s(a) = y*a**2 + a**u - 2*a**2 + a**2. Let c(r) = 2*r**2. Calculate c(s(x)).\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 8 - 16. Sort m, 1\/2, 0.1 in increasing order.\nAnswer: m, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-1\/5)\/y*y))\/(y*y*y\/(y*(y\/(y*y\/(y\/y**40)))\/y)*y))\/(y*y*y*y*y*y**(7\/2)*y)**(1\/39) assuming y is positive.\nAnswer: y**(-16787\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 576467, 1152933, 1729399?\nAnswer: 2305865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250) + 4*-2*sqrt(250))\/(sqrt(40)*-3))\/(((sqrt(210)*-1)\/sqrt(7))\/sqrt(6)*2) + 3.\nAnswer: -7*sqrt(5)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14778 and 68?\nAnswer: 14846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*f - 222*f = 396*f + 5270 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 5:29 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4\/7, -7487300, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12995391 is divided by 55.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 81*z - 84.\nAnswer: 3*(z - 1)*(z + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(-3*sqrt(640)) - sqrt(33)\/(sqrt(22)\/(sqrt(32) + sqrt(2))).\nAnswer: -121*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 divided by 171?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -7 - (4 - (7 - 4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/2)*b\/(b*(b\/b**(-1\/3))\/b*b))**45\/(b**4\/(b*b**9))**(-47) assuming b is positive.\nAnswer: b**(-819\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) -2 (c) -2\/5 (d) -1\/6 (e) -1003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + p - 1. Let c(s) = -24*s**3 - 32*s + 32. Calculate c(x) + 32*f(x).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -165 (b) -5 (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 114 = -8*s. Calculate the greatest common factor of s and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*r**3 - 27*r**3 + 21*r**3 - 28*r**3 - 3*r**2 - 43*r**3 - 556 with respect to r.\nAnswer: -276*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-76))\/((-992)\/(-4712))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.42 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000\/64 + -30 + (1 - (-58)\/(-24))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-9)*t**(-8)\/t*(t*t\/(((t*t**3)\/t)\/t))\/((t\/t**0)\/t))\/(t*t*t**5*t**(-7)*(t**(-2\/3)*t)**(-31)) assuming t is positive.\nAnswer: t**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 12:30 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211121756, 422243514, 633365272, 844487030, 1055608788?\nAnswer: 1266730546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -i - 4*i. Solve -7 = i*c - 4*f - 2, 3*c + 2*f + 11 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from {i: 1, z: 2, s: 4, k: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 15, -8*g + 13*g = -4*v + 31. Let k be (2\/(-5))\/(1\/(-10)). Suppose y + k*y - 3*t = 108, -v*y + 76 = -5*t. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from jjjrrgrrjjjrg?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22207 is divided by 151.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 39. Suppose v - g*n + 98 = 0, 5*n + 15 - 128 = v. Let r = v - -90. Solve -d - 1 = r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*m = 85*m - 798 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 - 87\/(-2). Let o = -173\/4 + l. Let k = -19027\/8 - -2378. Sort o, k, -2 in descending order.\nAnswer: o, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2604 less than -15148.668?\nAnswer: -17752.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x + 105. Let j be t(12). Suppose 4*m = 4*r - 5*r + j, -5*r + 23 = -2*m. Let f = -3 + 3. Solve f*s = -r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + t + 3736. Suppose -10*u = -t - 343. Suppose -3*c - u = -3*n, n + 4*c + 76 = 4*n. Calculate the remainder when 127 is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170 + 169. Which is the closest to f? (a) 0.3 (b) -0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*a - 12, 3*h - 42 - 19 = -5*a. Solve -a - 10 = 9*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 28 = -4*t. Let k(c) = -c**2 + 6*c + 22. Let s be k(8). Solve 2*h = s*h + t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 9*x**2 + 13*x + 12. Let f be o(6). Let b = f - -24. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 300 + -299.9. Let u = -19 - -19. Sort 5, i, -6, u in descending order.\nAnswer: 5, i, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 3:39 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(12\/5)\/(y**(7\/5)*y))\/((y\/((y*y\/y**(-2\/19))\/y)*y)\/(y\/y**(12\/13))) assuming y is positive.\nAnswer: y**(-202\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = -z - f, z - 3*f - 16 = 0. Let j be (56\/z)\/2 - 3. Suppose j + 7 = u. Calculate the remainder when u is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44 - 307 - 346 + 1153*j**4 + 37 wrt j.\nAnswer: 4612*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 3:47 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 374 and 6374932?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*h - 18, -2*o - 11 = -6*o + h. Let k(c) = -6*c - 11*c + 71 + c + c**2 - c. Let l be k(6). Solve -l*m = -o*m + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3115247 + -2109654. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*h = 23998 - 1150. What is the least common multiple of 36 and h?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10427\/4 - 2607. Which is the fifth smallest value? (a) 0.2 (b) v (c) -2 (d) -4 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 316*r**4 + r**3 - r**2 + 250*r - 40 wrt r?\nAnswer: 3792*r**2 + 6*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 4:24 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 5. Let o = 59 - 765\/13. Suppose 12 = 4*m - 3*z + z, -12 = -4*m - 2*z. Which is the closest to -1\/4? (a) o (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -105 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 452823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 3*a - 14. Let g be l(3). Suppose g*m + 71 = 318. Suppose 17*j + 58 = m*j. Solve 2*q = 5*c + j, -2*c + c = 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552895 - 399905 = -30*r. What is r rounded to the nearest one hundred?\nAnswer: 31800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -5, 664?\nAnswer: 664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016684162 rounded to six decimal places?\nAnswer: 0.016684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**2 - 1847*q - 158059.\nAnswer: -4*q - 1847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*w - w. Suppose 0 = -2*k - 4*q + 2, 3*k = w*q + q + 23. What is the second derivative of 3*l**4 + 4*l - k*l + 0*l + l**4 wrt l?\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4476.25 * -0.4\nAnswer: -1790.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1259620 divided by 4.\nAnswer: 314905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 4*i - 37. Let a(u) = -u + 1. Let r(g) = 3*a(g) - c(g). Let b(p) be the first derivative of r(p). Let l(k) = k. What is -2*b(y) + 3*l(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 555\/1050 + (-5)\/50. What is the biggest value in 4, k, -20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 6*w. What is the nearest to w in -73, 0.5, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 4\/(-4)*-11*19. Let r = d + -203. Solve -t - 6 = -r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1780)\/6)\/((-4)\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/8916 and -109\/24?\nAnswer: 17832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49722 is divided by 374?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1953)\/(-54) - (-2 - (-26)\/12). Let w = y - 24. Solve 3*d = 3*h + w, -4*h - h - 13 = 2*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5706 and 1902.\nAnswer: 5706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhhhhhhhhsshhhh?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 15123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b - 3 + 5*b + b**2 - 11*b + 83*b to the form l + n*b + v*b**2 and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 - -1110111001?\nAnswer: 1110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 6*l**3 + 332*l**2 + 918*l - 1256 = 0?\nAnswer: -157\/3, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/60 - 7*l**4\/24 + 11*l**3\/6 - 4*l**2. Let s be x(-8). Suppose -y + s*y - 90 = 0. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4 + 2 - g**3 - 176*g + 6*g**2 + 173*g. Let p be u(3). What is the third derivative of a**4 + 0*a**2 - 6*a**2 - a**4 - p*a**6 wrt a?\nAnswer: -1920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9004 (base 15) in base 8?\nAnswer: -73253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2021532680?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12165\/8 - 1523. What is the common denominator of x and 51\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let c = 0 + r. Solve c*y = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-21) + 60\/35. Suppose -p*y = -r - 143, -2*y - 357 = -7*y + 3*r. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 464.7273 - -0.3727. Let g = u + -465. Which is bigger: -42 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 67, 1\/2811197 in decreasing order.\nAnswer: 67, 2, 1\/2811197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from {m: 7, s: 5}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -16031116 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1094*k + 1488*k = 66*k + 40573 + 65099 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -36, -47, -62, -81, -104?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**7\/14 - 7*o**6\/12 - 23*o**5\/20 - o**4\/8 + 11*o**3\/6 + 2*o**2 - 2*o - 42. Suppose v(y) = 0. Calculate y.\nAnswer: -4, -1, -1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*13\/65*-65?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*n + 107*n - 1 - 44*n.\nAnswer: 33*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/5)\/(42310\/(-4700) - -9). Let g = 304 - p. Let k(s) = -s**2 + 2. Let m(x) = 6*x**2 - 11. Give g*k(t) + 4*m(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l + 109. What is the hundreds digit of j(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -4*w**3\/3 - 7*w + 4. Differentiate l(m) wrt m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24517 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -18*s**2 - 22*s + 35. Let v be u(-2). Solve w - o = -1, 0 = w + 7*o - 8 - v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1143 (c) 0.3 (d) -134 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -135*y + 315. Calculate h(3).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00421256676 rounded to 6 decimal places?\nAnswer: -0.004213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 38 - 40 = 0. Let t = r + -139. Let w = t + 75. Calculate the remainder when 34 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = 3*a, 2*l - 2*a = 4 + 6. Let d(j) = -1 - j**2 - 3 + 0*j**2. Let g(m) = -3*m**2 - 9. Suppose -1008 = -173*c - 2565. Calculate c*d(b) + l*g(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56970.33 days in seconds?\nAnswer: 4922236512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33, -8, 39, 114, 223, 372?\n\"Answer: q**3 + 5*q**2 + 3*q - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 1. Suppose -8*q - 20*f = -23*f - 35, -44 = q + 5*f. Let d(m) = -52*m**2 + 1. Calculate q*d(u) - 3*p(u).\nAnswer: -49*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**4 - 6*b**4 - 6*b**3 - 725*b**2 + 2*b**4 + 728*b**2 + 11 + b**4 to the form g*b**3 + f*b**4 + i*b**2 + q + d*b and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -153\/15400 and -23\/2415875.\nAnswer: 19327000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -52ed (base 15) to base 8\nAnswer: -42214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 289, 375, 449, 505, 537, 539?\n\"Answer: -p**3 + 93*p + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -18.5. Let s = -9.9 + g. Which is the closest to -3? (a) -5 (b) s (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154058 (base 12) to base 6.\nAnswer: 11412152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -18) + -8 - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*10\/(-12)*6. Let v = b - 17. Suppose 9*t + 2*d - 29 = 4*t, 5*d + 15 = 5*t. Solve 0 = -5*c + 3*g - 35, -v*c - 3*g - 2 + t = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v**(-1))\/(v*v*v**(-1))**(11\/4)*(v**(-1))**(7\/6)*(v**(2\/7)\/v)**39 assuming v is positive.\nAnswer: v**(-3089\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(54)\/sqrt(3) + sqrt(162) + 4 - (sqrt(324)\/(sqrt(42)\/sqrt(7)))\/sqrt(3)))**2.\nAnswer: 1728*sqrt(2) + 3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111011110 + -11?\nAnswer: -111111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 + 13)\/3 - 1 - -194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 take away 856?\nAnswer: -855.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 4*u = -15. Suppose -5*t = -4*w, 3*w - 2*t - 27 = -u*t. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-56)\/(-32))\/((-1)\/(-4)). Suppose 360 = k*i + 136. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (5 - (8 + -4 + -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:08 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**4\/24 - 24*h**2 + 2*h. Let n(y) = 3*y - 9. Give n(c(m)).\nAnswer: 3*m - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q - 5*q + 4*q + 5*q. Suppose -3 = -3*a + 9. Suppose 0 = -b - 5*k + 25, 0*k + a = b - 2*k. Let i(r) = 6*r + 1. Calculate b*l(s) + 2*i(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oofofpffftlpfppjljjo. Give prob of picking 1 f and 2 o.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 121?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q**2 - 5*q. Let w(h) = 6*h. Determine w(f(i)).\nAnswer: -48*i**2 - 30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 400\/104 + 2 + 24\/(-13). Let d(x) be the second derivative of 0*x**2 + 0 - 2*x + 0*x**3 + 1\/100*x**5 + 1\/60*x**c. Let d(v) = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5}. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*a + 14461 = 41*a + 4*u - 1341, -a + u = -104 for a.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14388929 to the power of 1\/2, to the nearest integer?\nAnswer: 3793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9\/16367?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -117? (a) 84.6 (b) 0.5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14580 divided by -4860?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10492386 and 7512?\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 80?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/3, 0.054, -53\/3, -3, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 7*n + 2. Let y be p(-5). Suppose -y = -612*d + 609*d. What is the greatest common divisor of 232 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3464.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/966840 and 191\/1450260.\nAnswer: 2900520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:22 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 173356825 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 17 + 32 + 4*z in the form w + f*z and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 166461059 to the nearest integer?\nAnswer: 12902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 + 33*s**4 + 138*s**3 + 276*s**2 + 264*s + 96.\nAnswer: 3*(s + 1)*(s + 2)**3*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*f**3*n**2 + 12*f**3*n*s - 136*f**3 - 40*f*n*s + 7*n**2*s with respect to s.\nAnswer: 12*f**3*n - 40*f*n + 7*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from oettttqooeq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -2*p + 32 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/36)\/(4\/12)*(-396)\/264?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*p + p + 5*p)*((-14*p - 63*p + 28*p)*(-p + 2*p + p) + p**2 - 4*p**2 + 2*p**2).\nAnswer: -99*p**3 - 99*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.1334323 weeks?\nAnswer: 80699855040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 0*t + 4*t)*(-2*t**2 + t**2 + 2*t**2)*(248 + 24*t - 248) to m*t + d*t**3 + w + i*t**4 + q*t**2 and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 276*s + 274.\nAnswer: 2*(s + 1)*(s + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13326 = -c + 4*r, 12*r = -c + 15*r - 13327. Round c to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22185656 is divided by 11537.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h + 633. Does 3 divide a(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 434987703 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/(((-72)\/(-40))\/((-12)\/100)). Let w(a) be the first derivative of 21 + 48\/5*a + 12\/5*a**2 - y*a**3 + 3\/20*a**4. Let w(j) = 0. Calculate j.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11511497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7184, -28741, -64656, -114917, -179512, -258429?\nAnswer: -351656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*i - 8. Let k be ((-2)\/3)\/(1\/(-3)). Suppose 2*h + k*j = 5*j + 84, 0 = -i*j. Calculate the greatest common divisor of 28 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*a - 33, -5*l - 5*a + 0*a = -45. Let c = l + 12. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - -1.1. Let k = -8.6 - w. Let l = k + 10.9962. Round l to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2671326099?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m + 54*m + 35 + 119 = 0. Let g(t) = -5*t**3 - 4*t**2 + 1. Let j(o) = -16*o**3 - 13*o**2 + 3. What is m*g(f) + 2*j(f)?\nAnswer: 3*f**3 + 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48622.19 litres in millilitres?\nAnswer: 48622190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 8*c = -3*h + 17, 4*h = 3*c + 21. Calculate the common denominator of -46\/45 and 184\/(-90) - 2*h\/(-36).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 3*z - 530 - 7*z + 532.\nAnswer: -9*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdwwxox. Give prob of picking 1 x, 1 w, and 1 o.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30634 is divided by 30634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2801 to two dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 8*t + 2*t = 37 + 107, -3*k - t - 14 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -0.3. Let k = a + 0.7. Let o = 3.9949 - k. Round o to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/5)*h*(h\/h**0)\/h*((h\/h**(-1))\/h*h)**(-22)*(h**1)**(-2\/5)\/(h**(-1)*h**(-2\/17)) assuming h is positive.\nAnswer: h**(-3577\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928860 is divided by 309614?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssqqsss. What is prob of picking 1 q and 1 s?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20556 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -189 + 218. Calculate the remainder when r is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 508*0.211\nAnswer: 107.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 1 + 6 - 4. Determine n(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 289*c**3 + 575*c**2 - 287*c.\nAnswer: c*(c - 287)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 62209 + 15552 + 15548 + 15553 + 15556.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfff when four letters picked without replacement from {f: 3, d: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36265*i - 36229*i = -216 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*f**3*t**4 - 116*f**3*t**2 - f*t**2 + t**5 wrt t?\nAnswer: 1392*f**3*t + 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.01, 0.1, 1\/14, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 12, d: 1}. What is prob of sequence dll?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19479700?\nAnswer: 2, 5, 131, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 0*x + 3 + x + x. Let q(j) be the third derivative of j**4\/8 + 2*j**3\/3 + 11*j**2. Let s = -86 - -80. Determine s*p(b) + 5*q(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -4)*(10 + -27). Let o = -66 - d. Suppose 150 = 5*g - u + 4*u, 4*u = o*g - 34. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4*o - 3 = -3*w, 0 = -4*w + 5*o - 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -731*w + 741*w - 19170. Does 27 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1413 = 49*v + 1609 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/8 and -101\/1070.\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2050248, 4100505, 6150762, 8201019, 10251276, 12301533?\nAnswer: 14351790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -305124 - 14235?\nAnswer: -323403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 6*o**2 - 2*o + (2 + 0 - 1)*(o - o - 6*o**2).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14725 * 141.\nAnswer: 20.76225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1202)\/12)\/(-1) - (24 - 2086\/84). Solve 137 = -6*l + m for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 2, t: 2, b: 1, m: 2, k: 1}. What is prob of sequence tsm?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 11 - 0\/(-1). Let d(k) be the first derivative of -k**3\/3 + 2*k**2 + 11*k + 52. Let r be d(6). Put u, r, -4 in descending order.\nAnswer: u, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2 + 39 + 2 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -7. Let r be (1 + 1 + -2)\/(-2). Suppose r*s + f = s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/2 + 956863*p\/2 + 3348996 = 0 for p.\nAnswer: -956856, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 212*q - 98. Let b = 385 - 381. What is the units digit of z(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.05 (c) 5 (d) -0.24 (e) -0.3 (f) -63 (g) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/14444 and 103\/432?\nAnswer: 1559952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 12, -94350 = 5*h + 4*q - 494706. List the prime factors of h.\nAnswer: 2, 37, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 1722332?\nAnswer: -1722331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/((-19)\/13034). Let s be ((l + -3 + 4)\/1)\/1. Suppose -4*h = -84 - s. List the prime factors of h.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*o + 20*o**2 + 28*o - 7*o**2 - 55*o to j*o + v*o**2 + a and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*v + 1 + 8 + 18 + 3*v.\nAnswer: -v + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.28737 millimeters in centimeters?\nAnswer: 9.928737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**5\/30 - o**4\/2 + o**3\/2 - 36*o**2. Let i be f(-6). Suppose 0 = d + i*d - 8, 2*l = 4*d + 3078. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2466869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-28))\/(-3)*(-1)\/(-4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 = 7*d - 7. Suppose -8*v + d + 192 = 0. Calculate the greatest common factor of 160 and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 47 (c) 2\/5 (d) 0.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -473 + -474858?\nAnswer: -475331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/915720 and 51\/4.\nAnswer: 915720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -41*360847\nAnswer: -14794727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*z = 276. Let d = z + -29. Solve 6 = -2*l - u, 4*u - 19 = 4*l + d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -101372354 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 11\/24*w**4 + 0 - 1\/120*w**5 + 0*w**2 - 3\/2*w**3 + 7*w. Let n(s) be the second derivative of l(s). Determine n(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 13 = 4*j, 5*h - 385 = -19*j - 448 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 1506*k + 977*k + 1131*k.\nAnswer: 602*k + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560*a - 15840 = -565*a. What is the greatest common divisor of 198 and a?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11887 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 divided by 142137.\nAnswer: -116\/142137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -39*o - 493. Give v(-15).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d53 (base 16) to base 15.\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1)\/(20\/(-138)). Let n = f + 13\/2. Let p = 2893 + -2893. Which is the closest to n? (a) p (b) -0.4 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46\/21 - -2413\/1092. Let n = -1861\/572 - g. Let i = 5\/136 - -2801\/1496. Find the common denominator of i and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 12:46 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w + 87. Give o(-3).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3 + 3529*n**2 + 3920539*n + 1398995931 = 0. What is n?\nAnswer: -1731, -899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -232*r - 6. Suppose 2*b - 6 = -4*g, b + 2 = g - 4. Let h be o(b). What is h rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (19 + 7)) + (3 - (-2 - 5)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3154755 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + 5 + sqrt(76)\/sqrt(4)*-5 + -3)**2.\nAnswer: 20*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 924.9335 millennia in months?\nAnswer: 11099202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5580755\/12 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i*o**3 + 8*i*o**2 - 38020*i*o + i - 2*o**3 + 2*o**2 + 231504*o - 1 wrt i.\nAnswer: -3*o**3 + 8*o**2 - 38020*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*z**2 - 15*z**2 + 2*z + 8*z**2)*(3*z + 2*z - 4*z) to the form c*z**2 + o*z**3 + r + m*z and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -228\/5*k**5 - 493848*k**3 - 6498*k**4 - k - 21112002*k**2 - 2\/15*k**6 - 75. Suppose v(n) = 0. What is n?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -1 + 4 + (sqrt(2) + -1)*-1 + -5 + (-1*sqrt(96))\/(sqrt(147)*-1 + sqrt(3)))*-6)**2*-3.\nAnswer: -204 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4112 and 3.\nAnswer: 12336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 307\/1628 - 1\/148. Let s = 1266 + -24052\/19. Sort s, 2, i, -3 in ascending order.\nAnswer: -3, s, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/9*-3)\/8 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -28*z + 40*z. Let j(u) = -u**2 - u + 15. Let x be j(0). Suppose z*p = x + 45. Solve d - 5*r + 17 = -3*d, -3*d + 3*r - p = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, q: 5, t: 3}. Give prob of sequence mt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 4*f**2 + 11*f. Let s be n(13). Suppose 0 = 82*p - 78*p - s. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 62849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 1.5 in increasing order.\nAnswer: -4, 1.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 86?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 952301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -844, -779, -714, -649, -584, -519?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -0.59, -4, 1, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 0*r + 1\/2*r**2 - 1\/3*r**3 + 5*r**4 + 1. Does 6 divide w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 8:18 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 divided by 3860806?\nAnswer: 243\/1930403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -6, -15, -1 in ascending order.\nAnswer: -15, -6, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1088))**2*1 + sqrt(1088).\nAnswer: 8*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + -30 - (-2 + 0 + 5 + 2)) + -8.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156 - -440. What are the prime factors of u?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 6*i**2 + 7*i - 4. Let t be y(5). Let u(l) be the second derivative of -l**3\/6 + 6*l**2 - l. What is the least common multiple of 12 and u(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -2, -35, -104, -221, -398, -647, -980?\nAnswer: -1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/5, -0.1, 1\/9 in increasing order.\nAnswer: -5, -3\/5, -0.1, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 4*h. Let j be (1\/(-2))\/(-2*3\/36). Let g = -69 + 71. Let w(t) = 0*t**g + 3*t - 3*t**2 + 2*t**2. Give j*y(u) + 4*w(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.2 - 11.2. Let y = -4.7 - r. What is y rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 100984531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 2383)\/(3\/6). Let p be g\/7 + 6\/(-21). What is p rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-6 + (-13 - -8) + (0 - 0))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30814 = -2*v + z - 30817, -5*z - 462 = 467*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 361\/330 + -27\/22. Let i be (96\/(-4))\/4 - 0. Let n be (-1)\/i*(-104)\/(-39). Which is the third biggest value? (a) n (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71347 + 126755. What are the prime factors of p?\nAnswer: 2, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 433202012?\nAnswer: -433202005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, k: 1, i: 2, a: 2, y: 3, o: 1}. Give prob of sequence aiao.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -21*l. Let c(g) = 4*g - 5. Let h(m) = 5*m - 6. Let d(o) = 6*c(o) - 5*h(o). Suppose 3057*t + 17 = 3074*t. Calculate t*w(v) - 14*d(v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.262 + 1.972. Let o = h + -2.84. Let v = 0.13 + o. Put -3, 2, -1\/5, v in descending order.\nAnswer: 2, -1\/5, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-181782)\/12 + (-3)\/(-6). Let m be (w\/70)\/(1\/15). Let c = m + 35752\/11. Find the common denominator of c and -55\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + -221201002002?\nAnswer: -221201002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -303.99749 + 304. Round y to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m - 3. Let r be z(5). Let g = r + 0. What is the derivative of 2*a - g*a + a + 5 wrt a?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 9. Suppose -h = 3*b - 54. What is the remainder when 24 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 14*g - 8)*(6*g**4 - g**4 - 2*g**4) - 4 + g**5 + 5 - 3.\nAnswer: -41*g**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11222.9014 rounded to the nearest 10?\nAnswer: -11220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5797 and 14.\nAnswer: 81158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12) + (-20)\/120?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6042923824 - 979\nAnswer: -980.6042923824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqtdqoqfqqqdtt. Give prob of picking 1 q and 1 o.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is c39f (base 16) in base 4?\nAnswer: 30032133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(528)\/(2*sqrt(11)))\/sqrt(3))\/(sqrt(128) + (sqrt(128)*2*-3 - sqrt(128)) - -4*2*sqrt(128)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 28*v**2 + 18*v - 102. What is the thousands digit of t(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 13. Let h be 49\/2 - 3\/(-6). Solve -w*m - h = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2*1\/(-6)*(-66)\/6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -2, 3, -270?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 206 + -77. Let x = 129.5 - j. What is the nearest to 1\/3 in -12, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -1\/32*k**4 - 16*k - 1\/8*k**3 + 1 + 1\/2*k**2 + 1\/160*k**5. Solve a(z) = 0 for z.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33*(-1)\/(-24) + -1. Let s = 9\/8 - q. Do s and -6\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5374 to 2 dps.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1955 + -862. Let q = 1093.00000527 - s. What is q rounded to seven dps?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(2\/3)\/q)*q)**42*(q\/(q*q**(-1)))**43*q**(1\/2)*q*q**(2\/15)*q**5*q**(2\/13) assuming q is positive.\nAnswer: q**(57637\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-171)\/(-418))\/(78\/1716)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -403839\/7 + 57552. Let l = i - -139. Which is the closest to l? (a) 1\/4 (b) -0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208169 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488*n**3 + 502*n**3 - 1460*n**3 + 485*n**3.\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 1055413 - 1055560 = 4*r, 0 = -4*x - 2*r - 72 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-21)*-18 - 4. Suppose a*v - 16*v + 4354 = 0. What is the remainder when v is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**3 + 96*g**2 - 183*g + 90 = 0.\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m + 1. Let v(o) = -207*o**2. What is u(v(y))?\nAnswer: -1449*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242117299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 477a86 (base 13) to base 10\nAnswer: 1702278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m + 26 + 6. Let x be m - 9\/((-27)\/120). Let v = -16 + x. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 2*596\/8. Let x = -80 + m. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*l - 24, 3 + 0 = -m + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -1\/9, -1\/43, 1, -0.071?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -7. Let h be (8\/24)\/((-6)\/l). Let -2\/9*q - h*q**2 + 0 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71\/3 - -491\/12. Find the common denominator of 109\/20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.2404 + 0.2404. What is the second smallest value in 0.3, -15, o, 2\/5, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkqkttkvtdktdv. Give prob of sequence kkdt.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.9 - -11.2. What is the closest to -1\/2 in q, -0.2, 2\/13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*h = 0, -5*i - 3*h = 2*h - 45. Let z be (i*1)\/(330\/15). Sort 1, -6, -0.3, z in increasing order.\nAnswer: -6, -0.3, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 62*m + 31. Let k be x(31). Is 398\/13 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 10 - 7) + 9 + -17\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37957 by -37957.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/273 and -2\/351?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 11. Let y be i(10). Suppose 2*t + 2*z - y = -5, 0 = -3*t - 2*z + 17. Let p(g) = g - 1. Let h be p(2). Sort t, h, 0.\nAnswer: 0, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 2504564031?\nAnswer: 2504564033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -110000000011100000?\nAnswer: -110000000011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2057810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.961378879 to 4 dps.\nAnswer: -0.9614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 7*r**2 + 7*r - 1. Let z be j(6). Let m = -884 - -889. Let l be (8\/m)\/(-11*20\/(-1650)). Solve -n = -z*n + l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 v, and 1 o when four letters picked without replacement from {v: 8, k: 2, h: 3, o: 2}?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 + 2*t + 5. Let j(b) = -3*b**2 - b - 4. Let r(z) = -5*j(z) - 4*n(z). Let x = 3 - 10. Let o = -9 - x. Calculate r(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 2. Let o = -3 - v. Suppose 0 = -o*l - 2*l + 3600. Round l to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -101*u - 3804. Let m be i(-32). Which is smaller: m or -1712\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.4 + 6. Let u = 4.4 + z. Let j = 0 - -1. Which is the second biggest value? (a) j (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2095\/4 or 525?\nAnswer: 2095\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 3*a + 0*a)*(11006 + 14*a**2 + 423*a**3 - 11006) in the form l + n*a + v*a**4 + t*a**2 + c*a**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 43. Find the third derivative of 3*s**5 + 4*s**2 - s**2 + q*s**2 + 0*s**2 wrt s.\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 19\/2*z**2 - 10*z + 0 + 1\/6*z**3. Differentiate v(j) with respect to j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 1152.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.088216 * 0.75.\nAnswer: 0.066162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 198 + -241 + 3 + -4\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6)*-2) + (sqrt(17) + 4)*2 + ((-2 + sqrt(68))**2 - sqrt(17) - -6*(sqrt(612))**2).\nAnswer: -15*sqrt(17)\/2 + 3752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 622468357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622b3 (base 13) in base 14?\nAnswer: 10377b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5, 3*k + z + 842 = 6*k. Suppose 4*x = -w + k + 3, -8 = 2*w. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 5) to base 15\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -76, -67, -58?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in decades?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4577*h - 1439*h - 1693*h - 1445*h + 4*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000520749854 rounded to 7 decimal places?\nAnswer: 0.0005207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i**3 - i**2. Let l = -47 + 46. Give v(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -41. Suppose -3*o = n - 10, -4*n - 2*o = 2*o - 24. Suppose 2 = 2*s - 8, 97 = n*a + 5*s. Calculate the highest common factor of a and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12066 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 + 2064 + 2059 - 4123.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(1 + -5 + 3). Let b(w) = w**3 + 5*w**2 - 6*w. Let o be b(l). Let y(t) = 2*t + 13. Let c be y(-4). Solve -c = -o*x + x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d - 20*d + 5*i - 35 = 0, 5*d = -6*i + 43 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-20))\/((-472)\/590).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.124?\nAnswer: 0.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*n*o**2*t + 618*k*n*o - 27*k*o**2 - 4*k*o + 3*k*t + 35*n*t + 2*n - 8*o + 2 wrt n.\nAnswer: k*o**2*t + 618*k*o + 35*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 15) in base 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 8, 87*z - 5*w = -87*z + 170*z - 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 181923522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*b + 3*i + 8, 3*b + 2*i = 4. Find the third derivative of -y**2 - b*y**2 + 2*y**3 - 3*y**3 + 3*y**2 wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s + 2*s - 4*s + (-3 - 1 + 1)*(-3*s - 3*s - 2*s).\nAnswer: 26*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -11. Suppose 5*a + t - 15 = 97, 0 = 3*a + z*t - 60. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10*n + 1. Let x(b) = b - 1. Let w(p) = -c(p) + 3*x(p). Is w(-6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -9 + -11 + 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 8:35 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + z**2 + 3*z - 5. Let w be y(0). Let t(g) = -5*g - 12. Let f be t(w). Suppose 0 = -9*c + 23 + f. Solve 9*v = c*v + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-2149680)\/117)\/(-10))\/((-1)\/(-3)). Calculate the highest common divisor of 624 and d.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.06 - 0.06. Let i = 1.9626 - -0.0374. Let y = 102 + -507\/5. Which is the biggest value? (a) s (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + 0 + sqrt(13)) - -3*(3*sqrt(832))**2.\nAnswer: -2*sqrt(13) + 22462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.7 + -160.3. Which is bigger: p or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 4*r - 3. Let k be i(-4). Let y be (1 + 104)*(-1)\/k. Calculate the highest common factor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 173764228?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -243 + 13. Suppose 2*n + 312 = -0*n. Let p = n - x. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + (0 - (2 + -4) - -6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.5, -0.4, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46144 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 bigger than -149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*g - 4*v, -6*g - 4*v + 68 = -2*g. Let l = 0 - -22. Calculate the lowest common multiple of g and l.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 25253164 and 0.69.\nAnswer: 25253164.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 438 + -278. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 - 7 + 3 + v**2 + 10*v + v**2. List the prime factors of n(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t + 1. Let z be x(-6). List the prime factors of z\/(-3) - (-16)\/(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -30*m. Let t be x(-1). Is (-85)\/(-2)*36\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**3 + 137766*m - 2500 wrt m.\nAnswer: 6*m**2 + 137766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3708657)\/6 - -3)\/(1\/(-112)). Let j = a - 36627934. Suppose q - 2*l = 2*l + 16299992, 2*q = 3*l + j. What is q rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6557, -24284, -53803, -95108, -148193, -213052, -289679?\n\"Answer: d**3 - 5902*d**2 - 28*d - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/((-6032)\/(-39))*-8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2832 = -4*r + 2*c, -11*c + 8*c = 0. Let a = 659 - r. Which is smaller: -50 or a?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 9) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l + 7141 - 7141 - 40*l**5 wrt l.\nAnswer: -800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/60 and 34\/105285.\nAnswer: 421140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7 = -5*o + 3, 5*o = 10. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 4*f**2 + 4*f. Let y(b) = -b**3 - 3*b**2 - 2*b - 3. Let u be y(-3). Let s = 366 - 357. What is the remainder when z(u) is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.647 + 0.047. Let u = v - 1.4. Let o be 40\/(-80) + (3\/4)\/3. Which is the second smallest value? (a) -0.4 (b) u (c) 1\/4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 29, 42, 62.24?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 25 = -2*g - 3*x, g + 2*x + 12 = 0. Which is greater: g or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 937*f**4\/4 - 966*f - 1764. What is the first derivative of n(m) wrt m?\nAnswer: 2811*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 10490 = 5*c + 4*a, 4*a = -c + 2120. Calculate the highest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 417, 417, 419, 423, 429, 437, 447?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1522156873 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/15 + ((-2790)\/675)\/(-31)?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 339770 and 3965?\nAnswer: 4417010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4593?\nAnswer: 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/9)\/((-10)\/75). Solve 2*p + 5*h = -30, 0 = -p - h - 4*h - k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -13*i + 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 365178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 - 778*p + 3135. Calculate r(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 411.8538296 to one dp.\nAnswer: 411.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/2 - (-77)\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*o + 18*o + 24*o - 2*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232883 and 3384683.\nAnswer: 1751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) 0.6 (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67447293 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14488635 divided by -105.\nAnswer: 137987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-2)\/2 + 10. Let r be a*2 + (-4 - -5). Suppose -4*l + 1 + r = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(1\/3)*a)\/a)**(-1\/9))**(-1\/54) assuming a is positive.\nAnswer: a**(2\/729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -300*(3 - 17632\/(-24)). Round t to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50050462 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 83, 109, 139, 173, 211, 253?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 26*s + 2*t + 21 = 0, -4*s = 2*t. Let m(o) be the second derivative of -1\/9*o**s - 1\/72*o**4 - 4*o + 0 - 1\/4*o**2. Factor m(r).\nAnswer: -(r + 1)*(r + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/522 (b) -1 (c) 0.2 (d) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22018 is divided by 121.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -188, -229, -270, -311, -352?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 7*m - 3. Let r be (-2)\/(-9) + (-104)\/(-18). Let j be z(r). Let y = 4 - j. Solve -4*h = -5*n + 2*n - y, -3*n = 5*h - 23 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207928 is divided by 5471?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 3*r + 3*z, -2*r + 3*z + 23 = -0*r. Let h be (-105)\/(-9) + r\/(-24). Solve 0*s - 5*s = -m - h, -4*s - 4*m = -28 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 2*m - 2*v - 274, 4*m + 2*v = 566. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 0. Let t = 107 + -226. Let m = t - -122. Put c, m, -0.1 in decreasing order.\nAnswer: m, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*r - 53 = -2*r, 17 = 3*m - 5*r. What is the tens digit of m\/(-15) - (-103)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*2\/4*-18. Let l be 79\/p + (-14)\/63. Let b = l - -11. Solve 3 = -b*h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4500, 8959, 13418, 17877?\nAnswer: 22336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 1. Let s(y) = -y**3 + 4*y**2 - 8*y + 3. Let c(r) = 3*f(r) + 3*s(r). Suppose c(n) = 0. What is n?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 16 - (0 + -12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Let q(c) = 2*c**3. Let g be q(f). Suppose -3*d = -3*k - 2*k + 83, 87 = 5*k - g*d. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*v - 11*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3 - 2*q)*(-5*q + 3*q + q) + (q - q - 2*q**2)*(-1 + 1 - 2))*(0 + 2 - 1) + (1 - 1 - 3*q)*(6 - 6*q - 6) to j + i*q**2 + l*q and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/6 + y**3\/6 + y**2 + 2*y. Let j be s(-2). Suppose 4*f = -0 + j. Solve -1 = -5*u + f*u - 5*z, -3*u - 11 = -z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**3 - 2*b**2 - 2. Let n(u) = u**3 - u**2 + 1. Give 2*n(l) + o(l).\nAnswer: -3*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -84858\nAnswer: 35\/84858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 877*i**4 + 203*i**3 - i**2 + 5473*i + 2 wrt i.\nAnswer: 21048*i + 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77187 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 4.2, 6\/5, 0.07244, 5?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*q + 2*b + 8, q - 4*b - 2 = 0. Suppose -q*r + 4*r - 6 = 0. Let t(x) = 7*x + 4*x**2 - 4*x**r + 3*x**3 - 8 + x**2. Calculate t(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(4*f - 2*f + f + (f + 3*f - 3*f)*(1 - 3 + 1) + 3*f - 3*f - 4*f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m + 8. Let o be (-38)\/(-7) + (-176)\/(-308). Determine n(o).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -2*w, -w - 3 = -q. Suppose 3*o + 4*y - 26 = 0, -q*y = -2*o - 3*y + 21. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 220 + -108. Calculate the remainder when c is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 104889?\nAnswer: 629334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -4, 4\/9, 0.053?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -426 (b) -5 (c) 828 (d) 2\/5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223758, -447383, -671010, -894633, -1118246, -1341843?\nAnswer: -1565418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 1 - 1. Let w = -1 + -1. Put w, 0.2, i in ascending order.\nAnswer: w, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uh when two letters picked without replacement from {h: 5, u: 1, l: 2, d: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/5)\/((-14)\/(-35)). What is the common denominator of -133\/18 and 14\/f*84\/(-8722)?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75558 divided by -6?\nAnswer: 12593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, 4, -5, -3, -15, 5 in increasing order.\nAnswer: -15, -5, -3, 4, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3450835571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 8*w + 1. Let p be o(6). Suppose 0 = -4*l + p - 25. Suppose 0 = -q + l - 2. Calculate the remainder when 25 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.117282 and 71?\nAnswer: 68.882718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -166, -150, -132, -112?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9071615.\nAnswer: 5, 7, 61, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((10 - 45027\/4446) + ((-24)\/39)\/(-4)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39159 + 23303. Suppose -5*j = -5*z - 153050, -5*j - 3*z + 90564 = -n. Let t = j + -734417\/24. What is the common denominator of 77\/24 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + 10100333233?\nAnswer: 10100333331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.2. Let z = -0.7 + i. Which is the closest to z? (a) 2\/3 (b) 5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = d - 5*b, b - 106 = -105 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0*t + 7\/24*t**4 + 0 + 4*t**2 - 3*t**3. What is the derivative of y(h) wrt h?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzpzppyyhzzhyp. Give prob of sequence hph.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-65)\/(-25) + 6\/15. Let b(v) = 3*v**3 + 7*v**2 + 3*v**m - 2*v**2 + 7*v**3. Let d(q) = -3*q**3 - q**2. Determine 2*b(x) + 9*d(x).\nAnswer: -x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -338.89 - -335. Let l = u - 0.11. Which is the third smallest value? (a) -0.3 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 1, -1.4, 31, -2295, 0.3 in descending order.\nAnswer: 31, 1, 0.3, -3\/4, -1.4, -2295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -574.\nAnswer: -1\/574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 i, and 1 e when four letters picked without replacement from {t: 1, i: 7, e: 1, f: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 6 - 84*b + 6*b + 2*b**3 + 67*b + 11*b + b**3. Let u(g) be the first derivative of -g**4\/4 - 2*g + 2. Determine 2*p(r) + 7*u(r).\nAnswer: -r**3 + 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11*m**2 + 12*m + 5. Let k(i) = 21*i**2 + 24*i + 8. Calculate 3*k(c) - 5*o(c).\nAnswer: 8*c**2 + 12*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/8*-2)\/(-3). Solve -x*k = -2*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 5249.271?\nAnswer: -10498.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/88907752 and 77\/372.\nAnswer: 266723256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2. Let q(t) = -1 + 7 - 8*t + 0. Let w(o) = -o + 1. Let v(c) = q(c) - 6*w(c). Calculate l(v(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 1:55 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15285?\nAnswer: 3, 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 393292430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-65))\/((-515)\/206).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, e: 1, f: 4, y: 4}. What is prob of picking 3 y and 1 d?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (70\/42)\/(1*((-7)\/3 + 2)). What is the biggest value in -2.3, l, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 10*m**2 + 12*m + 119. Determine n(8).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -85. Let q be 9200\/(3\/(g*-2)). What is q rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 420 = -2*v, 840 = 4*v + w - 0*w. Is 30 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -238 - -96. Let l = 141.29 + x. Let p = l + 0.05. What is p rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from zmdzdmmdzdzzzc.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 7) + 5 + 3 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 190*k - 10695.\nAnswer: 5*(k - 69)*(k + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -36931 less than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + v - 1. Let c(i) = -9*i**2 + 10*i - 5. Let g(f) = -3*c(f) + 21*u(f). List the prime factors of g(7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23b8 (base 15) in base 7?\nAnswer: -31103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 94 divided by 2\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 193\/(-15) - (-12)\/90. Let c = 44 - m. Calculate the remainder when 129 is divided by c - (-8)\/(-10)*15\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 407 - 412. Which is the biggest value? (a) 1\/4 (b) y (c) -279\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -776765, -3107105, -6991015, -12428495, -19419545, -27964165, -38062355?\n\"Answer: -776785*h**2 + 15*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856980291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/3 - 2\/(-3). Let v be m\/(-4) + 5 + 0. Solve -4 = -c - v*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 127, 131, 133, 133, 131?\n\"Answer: -b**2 + 7*b + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 1. Let x be l(-6). Suppose -x*w = 3*a + 8, -9 = 3*a - 4*w - 37. Factor 2*r**3 - r**4 + 16*r**2 + 12*r + 5*r**3 - 4*r**4 + 6*r**a.\nAnswer: r*(r + 2)**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + -10 + (-20 - 19) + 39.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -63 - (8 + -20) - (50 - 72)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-72 + 5)*11. Let f = 4678 + b. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000053791 to seven decimal places.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1570686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.4 + -12. Let y = h - -6.2. Round y to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 9 + 5. Solve 3*y = z + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -811 + 825. Solve 2*t = 4, -3*j + 4*t - b = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14\/12959 + -45317553\/64795. Let f = n + 700. What is the fourth smallest value in 0, f, 1\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 + 87 - q - 177.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -29969\/147 at most as big as -204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (20\/8 - -1))*14. Suppose -5*f + 5*q = -2*f, 5*f = 4*q + 13. Suppose f*u = l*u - 126. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 29 + 1 = 0. Let h(c) = -2*c**2 - 14*c + 9. Let l be h(k). Find the third derivative of w**5 - 7*w**2 - 5*w**5 + 23*w**2 - l*w**5 wrt w.\nAnswer: -780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 2145196\nAnswer: -6435588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4835.58t in micrograms?\nAnswer: 4835580000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 * -24.\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 122295629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3630) + 3*sqrt(3630)*-2)*-3)\/((-4*sqrt(168))\/(sqrt(7) - (sqrt(252) + sqrt(63) + sqrt(7) - sqrt(7) - sqrt(7)))).\nAnswer: 1155*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 10. Let r(y) = -y**3 + 9*y**2 - 5*y - 4. Let q be r(x). Suppose q = 2*v + 9. Calculate the remainder when v is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(12*1))\/(633\/2532)*109.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 - -3) - (-3 - (25 - 10))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -10 - 13 - (66 + -79 + 4 + 19).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d3486 + 1?\nAnswer: 3d3487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7204718854219 - -4?\nAnswer: -7204718854215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 387029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/10)\/(2 + -3). Suppose g = h - 4*h - 22950. What is h rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -100\/41 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 = -5*w + 2034. Let g = -319 + w. Let j(p) = -5*p**2 - 3*p + 3. Let t(i) = 5*i**2 + 4*i - 4. What is g*t(y) - 4*j(y)?\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 6:37 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(1 + (-7)\/3). Suppose -2*j = -d*j + 18. What is the remainder when 242\/15 + 28\/(-210) is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Calculate the remainder when (1 + (-1 - i))*-15 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 4613568*n - 1330313105664.\nAnswer: -4*(n - 576696)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9149, 9486, 10409, 12206, 15165, 19574, 25721, 33894?\n\"Answer: 48*k**3 + 5*k**2 - 14*k + 9110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2205.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - 2*j + j + j**2 + 0*j**2 as o*j + g*j**2 + s and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**6\/21 + 124*j**5\/35 + 90*j**4 + 756*j**3 - 1323*j**2 + 112. Solve y(w) = 0.\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1\/(-3))\/(56\/280)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.19 - 0.39. Let s be (-112)\/480 + -1 + 8\/6. What is the fourth biggest value in -1\/4, l, 2\/11, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 260.6 - 209. Let x = m + -52. What is the closest to 2\/5 in -2, 3\/8, x?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.38 + -0.08. What is the second biggest value in 3, b, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22591735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/49 >= 1\/2190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 784463880 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 5, d: 1, r: 1, j: 1, p: 5}. Give prob of sequence bb.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4 + (-22)\/(-319) + 2268\/(-87)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 24*h + 9*h - 29*h.\nAnswer: -43*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmdc. Give prob of picking 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1854280 (base 10) in base 13?\nAnswer: -4cc00c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 4*j**2 + 7*j - 4. Let i be b(4). Let m = 71 - i. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + -8. Let g = 24.96 + u. Let m = 3.3 - g. Round m to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Suppose y - 8 = -5. What is the second derivative of -m**i - m + 5*m**y - 3*m + m wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/30*(-4)\/3*-3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36750 divided by 5?\nAnswer: 7350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/50 - 554\/(-10). Let b be (-3)\/(-9) + w\/15. Suppose z - 2*z + 3*p + 10 = 0, -2*z + b = 2*p. Solve 3*a + 4*y = -0*a - 10, z*y = -5*a - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*f = -2*i - 140, 5*i + 196 = f. Does 11 divide (2 - -1) + (1 - i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4139*s**4 + 164*s**3 + 7303174 wrt s.\nAnswer: -16556*s**3 + 492*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-35 - -12) - (8 + (-96)\/(-20))?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l - 2*l**2 + 151*l + 230*l + 13*l**2 - 25*l + (-2 - l + 2)*(2*l - 2 + 2).\nAnswer: 9*l**2 + 356*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 110022852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10018 is divided by 3229.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -287 - -700. Let r = j + -294. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6209 is divided by 48?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t. Let v(d) be the first derivative of 31*d**2\/2 - 3*d - 6. Calculate j(v(s)).\nAnswer: -31*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2\/381, -10, 0.1 in ascending order.\nAnswer: -10, 2\/381, 0.1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3048 divide 281037792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/7 (b) 19.3 (c) -0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*k + 69*k - 7*k**3 - 29*k.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-110)\/(-8) - 1\/(-4). Let r = 68 - g. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20363281 or 26?\nAnswer: -20363281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (73 - (-2)\/(-2)). Calculate the least common multiple of 10 and q\/8 - (-12)\/(-16).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 632667 and 674332.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*v**6 - 2666*v**4 - 41920*v**2.\nAnswer: -1080*v**3 - 63984*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 2\/11, -4, 21?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 45 - 19. Suppose -x*p + 14*p = 154. Let o = 537\/7 + p. Which is the fourth smallest value? (a) 8 (b) -0.3 (c) 1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154395592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**5\/2 - 67*v**4\/2 + 201*v**3\/2 - 5*v**2\/2 - 103*v + 36 = 0.\nAnswer: -1, 2\/5, 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8 - 1625.2.\nAnswer: -1627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5441*r**3 - r - 5473*r**3 + 11038*r**3. Determine y(-1).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379673, 379665, 379655, 379643, 379629, 379613, 379595?\nAnswer: 379575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1464*p + 195*p = 10077 + 16572 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86\/19 bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 11 = -5*v, -y + 7 = -2*v - 10. Let n be 6*(20\/y + -3). Let s = -2517 - -2518. What is the closest to 1\/3 in n, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + o - 6. Suppose 25*f - 10*f = -15. Let q(w) = -w + 1. Determine f*g(m) - 2*q(m).\nAnswer: m**2 + m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -989 + 973 = 2*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 12. Let f be q(6). Let k be 3\/(-2*3\/(-8) - f). Suppose 36 = -4*i - s + 168, 2*i - 48 = k*s. Calculate the remainder when i is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddcdcddcddcddcd. What is prob of picking 1 d and 2 c?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 15*i + 36. Let d be s(17). What is h in 7*h**2 + d*h**2 + 25*h - 4*h**2 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*w - 5*i + 10*i, 19*w - 14*i = 15*w - 10*i + 60 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*y**4 - 27*y**4 + 59*y**4 + (-5*y**2 + 2*y**2 + 4*y**2)*(-2*y**2 - 2 + 2) + (-7*y**2 + 3*y**2 + 2*y**2)*(2*y**2 - 4*y + 4*y).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -3. Let z = -10 - -9. Let h = 4 - 3.6. What is the nearest to z in -2\/9, t, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) -1 (c) -6 (d) -2\/7 (e) 201.1 (f) 0.2 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.32036 micrograms to kilograms.\nAnswer: 0.00000000032036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13*s**3 + 92*s**2 + 5*s - 42. What is w(7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -36. Let k be (1 + -3)\/(5\/(-15)*-33). Which is the second smallest value? (a) -5 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167644481?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00703214 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 59779.7 * -3\nAnswer: -179339.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7435, -7448, -7461, -7474?\n\"Answer: -13*x - 7422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -14*y**3\/13 + 318*y**2\/13 + 92*y\/13 = 0?\nAnswer: -2\/7, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2. Let a(b) = -4*b - 2. Determine j(a(w)).\nAnswer: 32*w**2 + 32*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19742, -31607, -43472, -55337, -67202, -79067?\n\"Answer: -11865*p - 7877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-272)\/48 + (-1815)\/(-315)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1052 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 4. Suppose 105 = 3*h + 4*g, -3*h + 2*g + a*g + 87 = 0. Suppose -h = -r + 20. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 411450, 411447, 411442, 411435, 411426, 411415, 411402?\n\"Answer: -m**2 + 411451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -67*d**2 - 275*d + 254. Let o(m) = -42*m**2 - 183*m + 170. Let i(n) = -8*o(n) + 5*x(n). Factor i(h).\nAnswer: (h - 1)*(h + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 21*g - 151 = 0, 15*a - g = 17*a - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1154824\/2811 or 412?\nAnswer: 1154824\/2811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 8 + 12\/(-6). Suppose 0*w + 776 = f*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 - 5*i - 5. Let c(q) = 16*q**2 + 24*q + 25. Let b(j) = -2*c(j) - 11*d(j). What is b(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11103, 22122, 33119, 44082, 54999, 65858?\n\"Answer: -2*r**3 + r**2 + 11030*r + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*z = -12, 7221*m - 7224*m + 3*z - 5 + 12 = -17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 5*q - 3*q)*(-1 - 1 + 4)*(-5*q - 2 + 2).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/15 + 2*r**4\/3 + 52*r**3\/15 - 196*r**2\/15 + 206*r\/15 - 14\/3 = 0. Calculate r.\nAnswer: -5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 20449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, z: 2, j: 9, g: 2, r: 1, k: 3}. What is prob of picking 2 j and 1 k?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9802\/11 - -891. Is q <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -7, -5, -2 in decreasing order.\nAnswer: 0.2, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + s = 0, -3*s + 7*s = -u. Solve u = 33*v - 38*v - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -884 + 896 + (1 - -1) + -48 + -5?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 7*q - 65 = 3*q, 0 = -5*q - 15. Let c = -27 + i. What is the tens digit of 1\/1 - (-3 - 0) - c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/70)\/((2\/30)\/1). Let w(l) = 2*l**2 - l - 2. Let m be w(2). Suppose v*s - 3*b - 87 = 0, 0 = s - m*b - 26. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*l**3 + 1114 - 1114.\nAnswer: -74*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 - 8*y. Let g(n) = -206*n - 12. Determine a(g(t)).\nAnswer: 169744*t**2 + 21424*t + 672","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2\/5, 1\/2, -1.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 2*o - 2*o)*(5*o**3 - o**3 - 12*o**3) + (0*o**4 + 3*o**4 - o**4)*(2*o - 3*o + 0*o) + 11*o**5 - 4*o**5 - 2*o**5.\nAnswer: 35*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 7876\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Let i(n) = -2343*n**2. What is i(x(y))?\nAnswer: -2343*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 640 + 604. Solve -s*n - 4*d = -d - 5, -n + 4*d = 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*y = 2650 + 612 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1303 + 985 = 92*l - 196 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 3*p**4 - p**4 + (-p**2 + 5 - 7 + 0*p**2)*(p**2 + 3*p**2 - 5*p**2).\nAnswer: 2*p**4 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**2 - m**5 + m**5 - 31400*m + 31308*m + 170*m**6 + 2*m**2 wrt m?\nAnswer: 20400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-5 + 0 + 8). Let x be (8 - 8)\/(2 + t). Suppose 7*j - 43 + 22 = x. Solve j*q + 4 = -5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6660, 7070, 7466, 7842, 8192?\n\"Answer: -g**3 - g**2 + 420*g + 6242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w - 247. Let z be o(21). What is the second derivative of h - 3*h**2 + 6*h**3 - h**2 + z*h**2 - 2*h**2 - 32*h wrt h?\nAnswer: 36*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 415 - 7*g**2 - g + g**3 - 2*g**2 - 407 + g**2.\nAnswer: (g - 8)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**3 - s**2 - 2*s - 5. Let k(y) be the second derivative of -13*y**5\/20 - y**4\/3 - 3*y**3\/2 - 21*y**2\/2 - 21*y + 3. Calculate 2*k(d) - 9*v(d).\nAnswer: d**3 + d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a millennium in years?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112638 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/6 + 529*b**2\/6 + 51041*b\/6 + 379045\/2.\nAnswer: -(b - 615)*(b + 43)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (6 - 4 - -9) - (-7 + 0).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.73 - -36.27. Let b = 1.8 - -38.8. Let r = b - y. Put r, 0.09, 5\/3, 1 in descending order.\nAnswer: 5\/3, 1, 0.09, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -72)*10\/(-18). Let o = -39 - m. Which is smaller: o or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 4*o - 11. Let f be n(-5). Let u = f + -50. Suppose u*a - 14*a + 70 = 0. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2 - 2. Let z be s(2). Let d be (-8)\/2 + 4 + 24. Suppose -32 = d*b - 26*b. Solve -4*j - 2*g + b = z, 2*j + 4*g + 2 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**3\/3 - 3*b**2 - b. Let n be j(4). Let m be (-1)\/n + (-15)\/(-6). Solve 0 = -4*k - 4*c, 5*c - m*c + 4 = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*o - 160*o + 1595 - 1206 + (-2*o + o + 3*o)*(0 - 4 + 1) to the form g*o + z and give z.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 + (-7 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 18 = -2*g, -3*n + 3*g + g = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*p - 2*t = -149*p - 7*t - 75, -6*p + 4*p = -2*p - 11*t - 165 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(-3*s - 3*s + 16*s + (1 + s - 1)*(2 - 6 + 3))*(1 - 1 + 1) to the form h + y*s and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -557857.83691175243 - -0.83672175243. Let q = -557866 - u. Let n = q + 9. What is n rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/18 and -89\/100130?\nAnswer: 901170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghhhhhhgh. What is prob of picking 4 h?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.4, 4.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -326 - -370. Solve -r + f*m = 40*m - 17, -3*m + 6 = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 1088, 0.6, 9\/4 in increasing order.\nAnswer: -5, 0.6, 9\/4, 12, 1088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1381*-0.2\nAnswer: -276.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 6*v + 4. Let q be m(-6). Let p be q\/6 + (-224)\/21. Let y = 16 + p. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**3\/3 + 5*j**2\/2 - 52. Let s(k) = k**3 - 3*k**2 - 2*k. Let d be s(3). Determine p(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2164433 (base 7) to base 6\nAnswer: 5425115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*g = -13524, 25*m - 21*m - g - 10836 = 0. Does 86 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/16 and -51\/1316?\nAnswer: 5264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + sqrt(15)\/(sqrt(3) + (sqrt(300)*-2 - sqrt(300)))*3.\nAnswer: -3*sqrt(5)\/29 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.01 + -0.01. Let k be 2\/3 - (-22)\/(-42). Let s = 2\/149 + 145\/298. Which is the closest to 0.1? (a) s (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-4*4\/32.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4993186.\nAnswer: 2, 11, 47, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20110102021 (base 3) in base 4?\nAnswer: -133002232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-15))\/(3547\/(-28376)).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -1\/10*d**5 + 0*d**2 - 1\/6*d**4 + 1\/15*d**6 + 4*d + 0*d**3 + 0 + 1\/21*d**7. Suppose k(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**2 - 2*r**2 - 58*r + 61*r - r**3 + 0*r**2 + 7. Determine c(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**3 + 35*j - 210. What are the prime factors of y(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 2, d: 1, j: 6, z: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.14 (b) 0.3 (c) -0.5 (d) 1\/7 (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.9919 rounded to 1 decimal place?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 2077716.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101085 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 24*j + 5. Let q(x) = -x**2 + 15*x - 19. Let g be q(14). Let b(p) be the second derivative of -38*p**3 - 24*p**2 - 4204*p. Give g*b(f) - 48*y(f).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*d**4 + 24*d - 28*d**4 + 19*d**4 wrt d?\nAnswer: -228*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-6)\/(-6))\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9855917?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1932? (a) -6\/5 (b) 0 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -26 - (3 + -3 + 1)\/1. Is -25 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -43*h**2. Let k(j) = -270*j - 646. Give k(y(a)).\nAnswer: 11610*a**2 - 646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 144 = 6. Let q = z + -45. Let g(t) = 2*t - 3*t + 7 - t**2 - q*t. Calculate g(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -8. What is the smallest common multiple of s and (1 - 2)\/(-1) - -9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -4*m - m - 5*r, 0 = -3*m + 5*r - 19. Let o = -2 - m. Solve 0 = w + 2*w - o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1082 (b) -0.33 (c) -0.28 (d) 1 (e) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4516 - -4926. Solve 10*d + 490 = r for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 11 = 3*l + 3*p, -8 = -2*l - p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2 and -29\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 46 - 9)*(-2*w**5 + 3*w**5 + 2*w**5).\nAnswer: 117*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -1. Suppose -3*x + p = -8. Suppose -2*t = -x*t + 16. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 69*s**3 + 162*s**3 - 74*s**3 - s + (-2*s**2 + 0*s + 0*s)*(0*s + s + 0*s) in the form g*s**3 + k + c*s + m*s**2 and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201200 (base 3) to base 7.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/20 - (-36)\/10. Is (w\/6)\/((-2)\/(-3)) - -259 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(5) + -2*sqrt(320)))**2.\nAnswer: 11\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 34019\nAnswer: 1\/34019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -6, 2*g - 5*g - 13 = b. Let f = -2 + 4. Suppose 23 = -f*s + 3*x + 1, -2*x = 5*s + 17. Put s, b, 5 in descending order.\nAnswer: 5, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 k, and 1 r when three letters picked without replacement from rrkknnptptknanrpr.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**5 - 8*p**4 - 24*p**3 + 80*p**2 - 76*p + 24 = 0. Calculate p.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-15)*(-2)\/(-7). Let q = -2.9 - -1.9. Let u = 0.8 - 1.1. Which is the smallest value? (a) u (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**2\/3 - 3155*o\/3 + 1050 = 0. Calculate o.\nAnswer: 1, 630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*t - 32*t - 432*t + 3*t.\nAnswer: -512*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1913 = -234*l + 661 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + (sqrt(500) - (sqrt(500) + (sqrt(500) - (sqrt(500) - -5*(sqrt(500) + 0)))))**2.\nAnswer: 10*sqrt(5) + 12500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.035343314 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6245, -7244, -9949, -15212, -23885, -36820, -54869?\nAnswer: -78884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10618201 is divided by 826?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5473381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/21212 and 37\/36.\nAnswer: 190908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, a: 5, e: 1, u: 1}. What is prob of picking 2 a and 1 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r - 3*m - 5, 4*r - 2*m = 6. Suppose r = 5*t - 11 - 34. Suppose 10*l - 13*l + t = 0. Solve 2*u = l*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -14*y**2 + 47*y + 15. Let j(q) = 29*q**2 - 93*q - 29. Let g(l) = -7*d(l) - 3*j(l). Let k be g(8). What is the greatest common factor of 52 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4787911267?\nAnswer: 4787911267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.5, -1\/6, -0.203.\nAnswer: -6, -0.203, -1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**4 - w**3 + w**2 - 2*w + 1417. Let n(o) = o**3 + o**2 - o + 1. Calculate -h(a) - 3*n(a).\nAnswer: -7*a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(171) + sqrt(19)*-2 + 5.\nAnswer: sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*a - 4*u - 45, 1031 - 999 = 10*a - 0*u + 3*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 9*x - 44. Let b(r) = r + x*r - 7*r + 0*r. Let j(t) = -26*t. Let k(n) = -78*n. Let g(h) = 17*j(h) - 6*k(h). What is b(g(v))?\nAnswer: -52*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 9, -23, -5, 31, 6, 2 in increasing order.\nAnswer: -23, -10, -5, 2, 6, 9, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2494 - 2507 - 6*z**2 + 201*z**4 - z**5 - 64*z**4 wrt z?\nAnswer: -60*z**2 + 3288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38137.\nAnswer: 11, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4130 less than or equal to 4883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g = -168004 - 146128. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -2*b + c, 8*c - 32 = -b + 5*c. Suppose -4*a + 56 = 4*f, -a + 14*f + 41 = 24*f. What is the remainder when b is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 980222091?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 708*d - 65620. Give x(83).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137 * -0.069751.\nAnswer: -9.555887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -24*d + 6. Let c be n(-1). Let -28*i**2 + 10*i**2 + 18*i**2 + 5*i**2 - 35 - c*i = 0. What is i?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.2. Let y = -9.128 - -0.128. Which is the second smallest value? (a) y (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o + 4. Let j(t) = t - 1. Let z(a) = -4*j(a) - l(a). Let w(d) be the third derivative of -d**4\/12 + 2*d**2 + d. Determine z(w(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-1 - 4\/(-4)))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*x - d - 560, 4*x + 2*d - 462 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 12:22 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 776297657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 33*p - 39*p + 0)*(-3 + 1 + 5).\nAnswer: -18*p - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 9. Let k be l(5). Let d(y) = -y**2 - y. Let n(f) be the first derivative of f**3 + 4*f**2 + 3*f + 5. Let r(h) = -4*d(h) - n(h). Determine r(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**2 - 3*c - 39. Let p be d(-6). Let g = p - 191. Calculate the highest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/8*4\/(-6). Solve -x*l - 5*t - 5 = 0, -3*t = 7 + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111 + 39 + -88 + -49?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 12 = 0, 5*z + 17 = -3*v + 4*v. Suppose n + 2*o + 16 = 73, 0 = 5*n + v*o - 325. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 100*k + 902. Let h be y(10). Solve -h*c + 29 - 18 = -5*o, 3*o = -9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -185*u**4 - 4 + 2*u**3 + 60*u**4 + 5*u**2 + 63*u**4 + 61*u**4 as i + c*u**3 + o*u**2 + z*u**4 + d*u and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 39. Let w = x + -6. Let k = -0.098 + 0.298. What is the nearest to k in w, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -4\/3*x**3 + 0*x + 0*x**6 + 5\/2*x**2 + 0*x**5 + 0*x**4 - 19\/7*x**7 - 1. What is the third derivative of p(o) wrt o?\nAnswer: -2280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + a - 127, 4*a - 59 + 117 = 62 for y.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4 - 41398*w - 10 - 8 - 330271*w. Let f be -3 - (-2 + 5\/1). Let v be l(f). Round v to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29151076.5 nanoseconds in weeks?\nAnswer: 0.00000004819953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 + -50. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 0*f - 5*f + 35, -9 = -3*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 16 = 3*b. Let a(s) = s**3 + 3*s**2 - s + 14. Let z be a(b). Suppose -z*d = -10*d + 24. Solve 2*w + q = 1, -3*w + 2*w - d*q - 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/9? (a) 3316\/13 (b) 0.5 (c) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 38, 50, 58, 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v**2 - 4*v. Suppose 0 = -2*i - 0*i + 2. Suppose 5*z - 5 = 15. Suppose p - z = -i. Let u(q) = 6*q**2 + 3*q. Give p*h(o) + 4*u(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3640182, 7280423, 10920664, 14560905, 18201146?\n\"Answer: 3640241*k - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 14*i - 20 = -19*i, 5*q = -5*i + 50. Determine l, given that -2\/7*l**4 + 4\/7*l**q - 2\/7*l - 2\/7*l**5 - 2\/7 + 4\/7*l**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m - 4*m)*(-2 + 4 - 3) + 0 + 10 - 3*m - 7 - 1 + 2*m + 1 + (-4 + 6 - 4)*(2*m + 3*m - 4*m) - 3*m + 3*m - 2*m.\nAnswer: -3*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3223ab (base 13) in base 15?\nAnswer: -1836cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, q: 7}. Give prob of picking 2 q and 1 s.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8368650 divided by -15?\nAnswer: -557910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*p + 37 - 37 - 2*p + p - p + (-3*p + 4*p + 0*p)*(-2 - 2 + 3) + 1 - 1 + p - 7 - p + 7 - 5*p + 5*p + 5*p.\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15757352*w**3 + 14779706*w**2?\nAnswer: -94544112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 2:02 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 456544 and 186768.\nAnswer: 4108896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*r, 4*u = 8*u + 5*r - 5345 + 5297 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7087 = -8*k + 7111. Solve 0 = -5*l - 2*d - 3, -k*l + 5*d + 23 = -0*d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 + 5*a**3 - 3*a**3)*(-3 - 2*a**2 - 6*a + 1 + 1).\nAnswer: 4*a**5 + 12*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*j - j + 15, z = 4. Suppose 498 = -3*t + 255. Let u be (-14)\/175 - t\/75. Calculate the highest common factor of u and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 22*l**2 - 2*l + 39. Let t be i(22). Let r(j) = -j**3 + 6*j**2 + 18*j - 9. What is the tens digit of r(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(-725)*5\/(-2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34154?\nAnswer: 2, 17077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4864856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141.2 + -141. Which is the nearest to -2.1? (a) -2\/5 (b) h (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 662150?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19564451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12108165 and 2987?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 3*n**5\/20 - n**3\/6 + n**2\/2 + n - 696. Let b(r) = r - 1. Let d be b(-1). Let u be 4 - (1 + (0 - d)). Determine f(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8397.8 + -8398. Suppose 0 = -4*p - 9 - 11. What is the nearest to -1\/4 in 0.6, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/67 (b) 2\/13 (c) 8 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 3804.\nAnswer: 3804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -80.9 and -2.\nAnswer: 161.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-three halves of a microsecond?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 763264 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1\/5336, 6, -1\/3 in decreasing order.\nAnswer: 6, 1\/5336, -1\/3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 7*b**2 - 4*b + 29. Determine y(-9).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 564 = 12*l - 6984. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35584375 and 2950?\nAnswer: 71168750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + 5534 = 5450 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3.7, 49, 50?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3.139197046+497\nAnswer: 500.139197046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*z - 7 = 0, 5*x + 0 - 5 = 5*z. Let j = -55.1 - -61. Let n = j + -1.9. What is the second biggest value in 0, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/7)\/(-2 - 90\/(-63)). What is the third biggest value in -2, 2\/67, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1259829*q**4 + 9638952 wrt q.\nAnswer: 5039316*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*n + 3 = 123*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.82922 litres to millilitres.\nAnswer: 86829.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 72, 68, 70, 84, 116, 172, 258?\n\"Answer: d**3 - 3*d**2 - 2*d + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -2327 in decreasing order.\nAnswer: -1, -4, -2327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgghpphwhpg. What is prob of sequence pppr?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 3*c**5\/20 - 245*c**4\/12 + 109*c**3\/2 - 3*c**2\/2 - c + 242. Find the second derivative of t(u) wrt u.\nAnswer: 18*u - 490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + (6 - -17) - (3 + 0)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/18)\/(2\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4343687\/33 + -131608. Let r = g + -55\/3. Suppose -4*x = 2*n - 10 - 4, 1 = -4*x + n. Is x less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 10*m - 54. Let y be d(6). Calculate the greatest common factor of 28 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47681, 95205, 142723, 190229, 237717, 285181, 332615?\n\"Answer: -z**3 + 3*z**2 + 47522*z + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4)*2)\/((-21)\/56).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, y: 3}. What is prob of picking 1 f and 3 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbtbtbbbbbb. What is prob of picking 2 t and 1 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + (5 - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 6*p - 2*p + 25, 0 = 3*p + s + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 - (-4 - -7)) - (-826 + 824).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 10.4. Let m = -1 - -1.8. Let x = h + m. Which is the second smallest value? (a) -0.1 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o + 35. Let m be t(-11). Let x(g) be the second derivative of 0*g**m + 1\/40*g**5 + 1\/12*g**3 + 0 - 1\/12*g**4 + g. Solve x(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 105, 159, 213?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (460\/(-276))\/((-9)\/(-189))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2. Let s = 55 - 30. Let c be ((-3)\/(-4))\/((s\/60)\/5). Let o(r) = 2*r - 11*r**2 - 11*r + c*r. What is o(z(w))?\nAnswer: -99*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 1) + (-8)\/(-2). Let u = -0.154 + -0.846. Which is the nearest to 0.1? (a) m (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 310*w**2 + w + 184. Let v(x) = -5*x. Calculate f(v(y)).\nAnswer: 7750*y**2 - 5*y + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4630, -4625, -4620, -4615?\n\"Answer: 5*r - 4635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 601?\nAnswer: -10\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58454*v + 58373*v - 1053 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.795 + -21. Round m to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 309, 314, 319, 324?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2700) + (sqrt(2700) - (sqrt(2700) + sqrt(2700)*-1 - sqrt(2700)) - sqrt(2700)))\/(-2*sqrt(729) - sqrt(729)).\nAnswer: -20*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50624*b**3*t**3 - 15321*b**3*t + 301*b**2*t**3 - 184*t**2 wrt t?\nAnswer: -303744*b**3 + 1806*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((563805\/33150)\/737)\/((-6)\/(-10)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 8 = -t, -20*j = 36*t - 15*j + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19188890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 45. Give o(-32).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 8*h**2 - 6*h + 7. Let s be c(-7). Suppose s = -u + 6*u - 20. Solve u*x + 8 = -4*w, -4*x - 2*w = -0*x - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11810245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 22. Let k = q + 33. Which is the second smallest value? (a) -1\/9 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4012 + 4013.1. Which is the biggest value? (a) 1 (b) -0.3 (c) -4\/3 (d) 2\/5 (e) y\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59653 - 5\nAnswer: 59648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 565415286 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 17*c + 4*t = -106, -4*c = -4*t - 204. Calculate the highest common factor of 392 and c.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 31\/20*q**5 + 0*q**7 + 0*q - 55*q**2 + 1\/15*q**6 + 0*q**3 - 1\/168*q**8 + 0 + 0*q**4. Find the third derivative of o(h) wrt h.\nAnswer: -120*h**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/3990*20*7\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 526 + -516. What is the lowest common multiple of v and 98?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6 and 349.\nAnswer: 348.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + q + 31 = 5*k, -4*k = 5*q - 48. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**4\/12 + 17*l**3\/6 + 9*l**2\/2 - 2*l. Let g be v(16). Let w = 29 - g. What is the remainder when 6 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282873 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2)\/(3\/4). Let n(h) = h**3 + h**2 - 4*h + 3. Give n(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, -86, -357, -894, -1787, -3126?\n\"Answer: -15*g**3 + 2*g**2 + 4*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l + 38*l = 14. What is the third derivative of 19*u**4 + 3*u**l - 23*u**5 - 4*u**2 + 25*u**5 + 5*u wrt u?\nAnswer: 120*u**2 + 456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000300078563 rounded to six dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9096.32 rounded to the nearest ten?\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -67abc + -69?\nAnswer: -67b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 34.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -13*h. Let w(m) = m. Let i(x) = 2*o(x) + 22*w(x). Suppose -3*y - r + 4 = -y, -2*y = -r - 4. Let v(q) = -q**y + 10*q - 10*q. Calculate v(i(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52, 47, 38, 25, 8, -13, -38?\n\"Answer: -2*w**2 + w + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -228 * 1\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/101? (a) -3 (b) -5\/83 (c) -1\/7 (d) 0.4 (e) 2\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4140 and 0.114?\nAnswer: 4139.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*p - 24, 14 = 2*n + 3*p - 5*p. Let r be (5 - n)*(0 + -1). Which is the closest to 0.2? (a) -0.4 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2839?\nAnswer: 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-864)\/(-504))\/(18\/(-189)) - -71.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 + 1946*i - 1946*i + 5*i**5 - i**4)*(10 + 7 - 8).\nAnswer: 45*i**5 - 9*i**4 + 36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -205896, -411792, -617688?\n\"Answer: -205896*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -241*i**2 + 252*i**2 - 2 - 19*i + 2 as a + g*i + y*i**2 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.8 + -0.8. Let i be 2\/(1 + -2 + 2). Suppose i*z + l = -z, z + 11 = -4*l. Sort k, 0.2, z in ascending order.\nAnswer: 0.2, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = 17*q - 26 - 82 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*1\/4*4. Let h(s) = s - 19. Let r(d) = 3*d - 43. Let q be r(22). Let v be h(q). Solve 2*n - 12 = 3*c + 2*c, -p = v*c - n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6588.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + -34684513?\nAnswer: -34684504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5409 - 1806 + 17629 + 11108 = 2310*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3336905*d**2*s**3 + 2*d*s + 2*s**3 - 6487*s wrt d?\nAnswer: 6673810*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 + -62. Put o, 1\/7, -1\/4, -0.7 in descending order.\nAnswer: o, 1\/7, -1\/4, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1420 = -8*a + 3*a. Let l be (38\/(-3))\/(4\/18). Let d = a - l. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7, -43, 1 in decreasing order.\nAnswer: 6, 1, -7, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19563196 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39504619 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((-256)\/(-32) - 438\/26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017720164 to 6 dps.\nAnswer: 0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 + 29 + 2*u**3 - 31 - 5*u**3 + 17*u**2 in the form y*u**2 + w*u**3 + k + l*u and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/9)\/(x*x**(-7\/4))*x**(6\/5)\/(x*(x**7*x)\/x*x))**5)**38 assuming x is positive.\nAnswer: x**(-23731\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/1743 in 5, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + 0*p + 6*p + (0*p - p - p)*(-3 - 3 + 4) + p + 0*p + 0*p - p + 2*p - 2*p)*(1555 + 768 + 465) as l*p + c and give l.\nAnswer: 16728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20438 - 6908. Suppose 4*a - 6*l = -9*l + 13526, -4*a = l - m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3 - 30. Let n be (-777)\/f - (-2)\/(-9). Let i = 39 + n. Calculate the greatest common divisor of 15 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/10*(-5 + 3)*35\/14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.1 + 3.8. Let i = 31.2 - 31. Which is the nearest to 0.2? (a) i (b) 0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21294 and 340704?\nAnswer: 340704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 607 by 558.\nAnswer: 607\/558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4148 - -43.\nAnswer: -4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 5. Let p(s) = s. Let g be ((-6)\/(-4))\/(12\/16). Let v(i) = g*p(i) + j(i). Differentiate v(k) wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.2. Let l = -0.87 + 27.77. Let h = -27.2 + l. Which is the second biggest value? (a) 2 (b) h (c) -3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309134143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**2 + 3*s - 7. Let x(p) = -3*p**2 + 2*p - 4. Suppose 2*z - 36 = z. Let d = -15 + z. Suppose 3*f - d = -0*f. Give f*x(i) - 4*u(i).\nAnswer: -i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**3 - 5*h**2 + 1458*h - 112562 with respect to h.\nAnswer: 9*h**2 - 10*h + 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -7*p + 13, 259*p + 5*g = 256*p - 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/10 - p**3 + 29*p**2\/10 - 2*p = 0. What is p?\nAnswer: 0, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 44.1\nAnswer: -396.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + -57)\/(-31)*(-34)\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56180242 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7*(-240)\/56)*9. Which is the closest to -1? (a) 5\/3 (b) -1717 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 21. Suppose w*h + 97 - 17 = q, 0 = 4*q - h - 292. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k - 2. Let p(l) = 236*l + 54. Let m(z) = 22*z + 5. Let b(c) = 32*m(c) - 3*p(c). What is 4*b(w) - 6*f(w)?\nAnswer: 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**3 + 11*b**2 - 4*b. Let c be t(-8). Round c to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 271.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 2*x - 5*x + (4*x - 3*x - 3*x)*(4 - 1 - 2) - x + 5*x - 5*x + 4 - 4 + 2*x + (-2 + 5 - 1)*(x + 2 - 2) - 123*x + 76*x - 104*x as o + n*x and give n.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, d: 3, f: 2, q: 2, p: 2, e: 2}. What is prob of sequence edp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16728 - -6681. List the prime factors of a.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.68 in 0.4, -1.48, 1, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 - 241 = -4*p. Suppose -3*w + 544 = p. Calculate the greatest common divisor of w and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millisecond in microseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 4475, 15885, 38309, 75419, 130887?\nAnswer: 208385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:14 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 809 + 1111 = 0. Suppose -k - 118 = -s + 52, -t = -3*s - 3*k. What are the prime factors of s?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145 - 27.1947\nAnswer: -172.1947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951 - 0*6*5\/30 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 196, 652, 1412, 2476, 3844, 5516, 7492?\n\"Answer: 152*w**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -14*v + 15*v + 1345, u - 315 = -4*v. What is the lowest common multiple of 11 and u?\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -115 (b) 0.06 (c) -4 (d) 0.026\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*v - 52 = 0, 2*s + 4*v = s - 6. Suppose -3*g + 15 = 3*m, -5*m - s*g + 16*g + 53 = 0. Let u(f) = -f + 4. Calculate u(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b**4 + 17 - 17 + (0 + 0 + 2)*(748*b**4 + 72*b**4 + 53*b**4) as i*b**3 + z*b**4 + q*b + f + g*b**2 and give z.\nAnswer: 1739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 9. Let r(s) = s**3 + 9*s**2 - s + 1. Let y be r(-9). Solve z*b + p - 3*p - y = 0, 5*p = -5*b - 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008590909 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 57*k + 31. Let p be a(6). Suppose -p = -2*h - 4*n - 81, -146 = -h - 3*n. What are the prime factors of h?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87866, 87869, 87872?\nAnswer: 87875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1524309428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwurjqjirrur. Give prob of sequence ruir.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.9901km to nanometers.\nAnswer: 76990100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02040798 to three dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103300103203 - -3?\nAnswer: -103300103200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - 132*p + 751. Let g(w) = -w**2 - 122*w + 749. Let u(m) = -5*g(m) + 6*q(m). Differentiate u(v) wrt v.\nAnswer: -14*v - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304344, 304342, 304340, 304338, 304336, 304334?\nAnswer: 304332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208201 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16919828.1 nanoseconds to weeks.\nAnswer: 0.00000002797590625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 24. Let y(h) = -2*h**2 + 4*h - 1. Let f(n) = 6*n**2 - 11*n + 2. Calculate s*y(i) + 3*f(i).\nAnswer: 2*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15064405471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04387 and -0.1.\nAnswer: 0.004387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - n**2 - 29*n - 13. What is c(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.12, -0.1, 1\/5, -5, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 16 + 356*m + 11 - 9)*(3*m + 5*m - 4*m) in the form t*m + j + u*m**2 and give u.\nAnswer: 1424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04279 + -13.68779. Round c to one decimal place.\nAnswer: -13.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -33*g + 988. What is the remainder when i(0) is divided by 40?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 187\/5 (b) -46 (c) 1\/35 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3365 = -2*d, 6*a - 5*a + 673 = d. Let g = -672 - a. Solve 2*p + 4*i + 5 = -g, 4*i = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-1*4*(-7)\/(-28))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -215646 and 0.0804.\nAnswer: -215645.9196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*r + 10, 3*q + 5*r + 0 = 1. Let z be 0 + (q - 0\/1). Suppose -o - 3*i - 2 = 0, o - z*o = 5*i + 8. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.204? (a) 3 (b) 5 (c) -3\/2 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-6) + 2\/(16\/(-4))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*y = 16, 11 = 2*o - o - 3*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 147*-279*(-118)\/89621?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115221*r = -2*c - 115216*r + 28, 2*c - 4*r - 28 = 0 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from crmcoqoroo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64987 is divided by 412.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 538 = 188. Suppose 0 = -13*h - 0*h - 26. Let i be ((-22)\/33)\/(h\/12) - -46. Is i at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**2\/2 + 32. Let g(u) = 75*u**2. Determine c(g(b)).\nAnswer: -75*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-756)\/(-567)*((-20)\/(-3))\/(-4)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114 + -78. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 3:45 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0. Let k = 0.017 - 0.317. What is the nearest to -1\/2 in -0.2, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 10:35 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from {i: 4, z: 2, s: 4, l: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g - 6. Let t(x) = 9*x + 7. Let y(w) = 7*p(w) + 6*t(w). Let l(m) = -26*m**2. Give y(l(b)).\nAnswer: 52*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)*y\/((y*y*y**(-9)*y)\/y))\/(y**(-5\/3)\/((((y\/(y**(-22)*y)*y)\/y)\/y)\/y)) assuming y is positive.\nAnswer: y**(451\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/3))**28*((l*l*l**(1\/16))\/l)**(-42) assuming l is positive.\nAnswer: l**(-175\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 1:54 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1991479 divided by 145\nAnswer: 1991479\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0708*-5794.\nAnswer: 410.2152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 4*g**2 + 3*g - 4. Let q be d(4). Let x(t) be the second derivative of 29*t**3\/3 + 3*t**2\/2 + 3*t. Is x(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + y**2 - 2*y + 4. Let o be m(0). Solve o = -r - r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 3)*(-12*d**3 + 20*d**2 - 20*d**2 + 2*d**4) in the form z*d + t*d**3 + x*d**2 + r + o*d**4 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 2. Let g be y(-2). What is the units digit of (g\/2 - -2) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 0.3, -43, -123, 0.4, -1.\nAnswer: -123, -43, -1.2, -1, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 111*s - 5330. Give d(48).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2107*l + 14 = 2104*l + 5*k, -2*k - 7 = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = -2*l. Sort -13, l, 3, -3.\nAnswer: -13, l, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 39 - 3. Let r be 96\/28 + -3 - (-8181)\/t. Let l = r + -133. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 20, 0 = 288*i - 293*i + 3*m + 27. Suppose 2\/7*w**i + 32\/7*w - 2*w**2 - 24\/7 = 0. What is w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -282738, -282737, -282736, -282735, -282734, -282733?\nAnswer: -282732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**3 + c**2 + c + 1. Let d(y) = -y**2 - y + 139. Let j be d(0). Suppose 4*o + v = -119, -5*o + o + 3*v - j = 0. Let i = o - -30. Give f(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 1, j: 2, r: 1, x: 1, p: 1}. What is prob of sequence rmr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 42*l = 37*l - 24, 4*c + 3*l + 21 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(6*j - 3*j - 2*j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1611*d**3 + 912*d**3 + 702*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 9582929\nAnswer: -28748787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + 6*x**2 - 822*x. Let r(u) = -5*u**3 + 14*u**2 - 1642*u. Give 7*o(p) - 3*r(p).\nAnswer: p**3 - 828*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -750153, -750155, -750157, -750159?\n\"Answer: -2*i - 750151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 878098.6ml in litres?\nAnswer: 878.0986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j + 42 = 0. Let g = -28 - j. Suppose 0 = -3*i + i + g. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(170)\/((1*sqrt(30))\/sqrt(3)) + (5 + sqrt(153) + (sqrt(153) - (4 + sqrt(153))) - sqrt(153))*-5.\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epepapeteaetpe. What is prob of picking 3 p?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -85, -128, -207, -328, -497?\n\"Answer: -n**3 - 12*n**2 - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 55062b7?\nAnswer: 55062b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.516 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, e: 3, g: 2, c: 2, p: 8}. Give prob of picking 1 c and 1 p.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*h*u**3*z**3 + 2*h*u*z**2 + h - u**2 + 26*z**3 wrt u.\nAnswer: 120*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*3925122.\nAnswer: 1177536.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.3 (b) -2.2 (c) 2\/5 (d) -2\/5 (e) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -4*i**3\/3 - 3*i**2 + 40*i - 4. Let v = -323 + 319. Let k(d) = -7*d - 5. Determine v*k(q) + 3*j(q).\nAnswer: 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 23*f**3 + 4*f**2 + 2*f + 2. Let p(q) = -q**3 + q**2 + 1. What is b(n) - 4*p(n)?\nAnswer: 27*n**3 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.05 + -13.45. What is the closest to 9 in 3, 2, -3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 - 35*w**2 + 17*w. Calculate j(-7).\nAnswer: -1148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4355.\nAnswer: 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 21*o + 25. Let n be z(0). Suppose 12 = 29*h - n*h. Let l be 32\/5 + 2\/(-5). Solve -3*r + h = -l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 + 0.0282986?\nAnswer: -0.5017014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 19893690?\nAnswer: -1\/3315615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 8 (c) -35604 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34196\/36 - (-5)\/45. Let b = -633 + t. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 145782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**5\/60 + x**4\/24 + x**3\/6 - 8*x**2 + 10*x. Let c(y) = 5*y**2 - 3*y - 3. Give -c(i) - 3*o(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 0*v**2 + 0*v**5 + 0 + 11*v**3 - 37\/6*v**4 - 36*v - 1\/15*v**6. Find the second derivative of a(m) wrt m.\nAnswer: -24*m**2 - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/340 and 89\/21488.\nAnswer: 107440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 4. Let g = 2.6 + -0.6. Let s = g - 2.5. What is the third biggest value in c, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 7044.\nAnswer: 8\/1761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*b**5 - 4*b**3 - 1322*b**2 + 2*b**4 + 1322*b**2.\nAnswer: 2*b**3*(3*b + 1)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -9\/2, 1.8, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-3)*25\/(9600\/(-1848))*(-10)\/35?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 - 28*l - 7 + 57*l + 2*l**4 - 27*l - 10*l**2 to q*l**2 + f*l**4 + z*l**3 + k + u*l and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -2 + 1\/3*d**3 + 1\/4*d**2 - 1\/8*d**4 - d. Factor g(z).\nAnswer: -(z - 2)*(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -5. Is j\/2*(0 + -46) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 246, 414, 580, 744?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**8\/8960 + q**7\/3360 - q**4\/6 - 2*q**2. Let a(r) be the second derivative of j(r). Determine s so that a(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - -2. Suppose 0 = b*y + y - 24. Solve 0 = g + 4, -y*h - h + 4*g + 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49365080 at most as big as -49365080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p - o - 3, 3*p = -4*o - 12. Let m be 1*(-4)\/8*p. Let k be (7\/(-2) - -3)*m. Solve 2*b = -k*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203048 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715 - 436 = -362*o + 659 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288757729?\nAnswer: 13, 22212133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*d = 112*d + 680. What is the greatest common factor of d and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49341\/55 - 897. Let z = -521\/770 - n. Calculate the common denominator of (5\/10)\/((-8)\/53) and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + 0. Let n be 1*-2*14\/4. Let w(b) = -b**3 - 7*b**2 - 5*b. Let m be w(n). Calculate the highest common factor of m and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424 + 957 = 41*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (221\/26 - 11)*1\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 2*m**2 - 11*m + 15. Let f be k(4). Suppose -f*x = 27*x - 3120. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l**3\/2 + 32307*l**2\/2 - 21531*l\/2 - 10767\/2 = 0. Calculate l.\nAnswer: -1\/3, 1, 3589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-18) - 12\/54. Let z be i + 138*(-6)\/16. Let u = 52 + z. Is u less than or equal to 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002625 rounded to four dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 5*f + 3. Let p be y(3). List the prime factors of p*(-1733)\/6 + 6\/(-4).\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4452116.9 and 4?\nAnswer: 4452112.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a minute in milliseconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (11 - (47 + -34))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*q - 330, 17*q = 21*q + 5*j - 282. Calculate the smallest common multiple of q and 1677.\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*-4*(sqrt(153) + sqrt(153)*1))\/(sqrt(63)\/(sqrt(7)*-2) + sqrt(108)\/sqrt(3))*-6)**2.\nAnswer: -512*sqrt(17) + 69648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, -1\/3, -21, 20?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(1\/7)*n*n\/(n*(n**(-23)*n)\/n*n)*(n**(-9)\/n*n)**35 assuming n is positive.\nAnswer: n**(-2036\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4884*p**2 + 4983*p**2 + 6 - 5.\nAnswer: 99*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1 - 1) + 32 + 30 + (-15 - 4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - 14*h**2 - 8*h. Let o(u) = 5*u**3 + 40*u**2 + 24*u. Calculate 8*l(v) + 3*o(v).\nAnswer: -v**3 + 8*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 12*l**2 - 6*l - 12. Let y(p) be the third derivative of p**5\/60 - p**3\/6 - 10*p**2. Let u(z) = -h(z) + 5*y(z). Determine u(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 9*m - 4. Let t be j(7). Let z = 17 + t. Solve -3*w = 3*s + z, s + 17 = 3*s - 5*w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, i: 3, n: 7, e: 6}. What is prob of picking 1 i and 3 e?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.1 - -0.1. Let t = 4 + y. Which is the third biggest value? (a) -3\/4 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2115)\/(-2) - (-2)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - i + 3. Let t be z(2). Find the second derivative of 3*u - t*u**3 + 2*u + u**3 - 6*u wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 117\/6*2\/18. Let v(m) be the first derivative of -4\/3*m**3 + 1\/3*m**2 - 8\/5*m**5 + w*m**4 + 0*m + 2 + 4\/9*m**6. Suppose v(i) = 0. Calculate i.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*f = -33*f + 5, f = -4*x + 31. Let g be (x\/63)\/((-3)\/(-14)). Factor 0*n**3 + 4\/3*n**4 + 2\/3*n**5 + 0 - g*n - 4\/3*n**2.\nAnswer: 2*n*(n - 1)*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 12 + 1)*(-190 - 6*q + 190) as c + j*q and give j.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*b**3 + a**2*b**2 - 2*a**2*b - 309548*a**2 - a*b**3 - 21*a*b**2 + 13*a + 31*b**3 - 2*b**2 wrt a.\nAnswer: 4*b**3 + 2*b**2 - 4*b - 619096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8654 + 11136 - 6568 + 7548)*(2 + 3 - 3)*(3 - u - 3) to l + y*u and give y.\nAnswer: -41540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n*n**(-5))*n*n)\/((n\/((n**(-4)*n)\/n))\/n))\/((n\/n**5*n)\/(n**7*n)) assuming n is positive.\nAnswer: n**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-135)\/30)\/9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6395 - 4495. List the prime factors of g.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 83 + 323 = 0. Is 40 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49835392?\nAnswer: 2, 139, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -113*b + 11. Let h(q) = -3*q - 3. Calculate -5*h(w) - p(w).\nAnswer: 128*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 529 + -527. Calculate the least common multiple of r and 249.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -2086?\nAnswer: 2084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 4*g - 5 - 3 + 12. Let l be o(-3). Solve -l + 4 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 545 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -112 and -0.05349.\nAnswer: -112.05349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -313\/30 + 65\/6. Let n be 18\/(-4)*4\/(-6). Suppose n*v - 2 + 5 = 0. Which is bigger: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 15. Let l be 32\/v + 8\/(-20). Find the third derivative of -f**2 - f**4 + l*f**2 - 2*f**2 wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1854376317\/438694424 + -4081\/49897. Let x = -3\/1256 + m. Find the common denominator of x and 2\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.634*-352.841\nAnswer: -223.701194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*m**5 - 12*m**5 + 12*m**5 + 22*m**5 + 4*m**5 - 9*m**5 + (2*m**2 + m**3 - 2*m**2)*(m**2 + 2*m**2 - m**2) + 1 - m**5 - 1 - 3*m**5 + 3*m - 3*m + 2*m**2.\nAnswer: 2*m**5 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.78 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20866 + -13370. Calculate the greatest common divisor of 16 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 2*k**2 + k + 251. Let w be a(0). Let j = w + 152. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11985)\/(-85) - 125) + (-28)\/16?\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/229? (a) -5 (b) 0.5 (c) -2\/39 (d) -4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 1309 = -17*d. Suppose d = -9*y + 416. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y. Let k(j) = -3*j**3 - 2*j - 1. Let r be k(-1). Suppose -4*d = 4 - 8. Suppose -2*z - d = r*a + 13, z - 4*a = 5. Give h(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -373 - 199. Let w = -569 - p. Solve w = -2*z - 5*n + 2, 5*z + 4*n = 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/10)\/(16\/(-80)) - -7. Let m(i) be the third derivative of 1\/39*i**d + 0 + 7*i**2 + 0*i + 0*i**4 - 1\/390*i**5. Factor m(x).\nAnswer: -2*(x - 1)*(x + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 7 + v - v - 6. Let x be g(-1). What is the second derivative of 7*t**2 - 17*t**2 + 9*t**2 - x*t + 4*t**2 wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 959.16 and 70402.\nAnswer: 71361.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 339, 517, 695, 873?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21155, -21223, -21365, -21617, -22015?\n\"Answer: -6*h**3 - h**2 - 23*h - 21125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031165618 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 650 and 650?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*m + 174, 40 + 134 = 3*m + 2*h. Calculate the greatest common factor of 3161 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 16 = -13*f + 2*r, 3*f - 3 = 3*r. Solve -3*d + 5 = 2*n + 13, -f*d - 12 = 3*n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + o + 3*o**3 + (0*o**2 - 3*o**2 + 2*o**2)*(-3*o - 3*o + 5*o) + 0*o**3 + 4*o**3 - 5*o**3 + 2*o**3 - 6*o**2 + 6*o**2.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 70*p - 131*p + 2*p**2 + 68*p.\nAnswer: p*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5277367?\nAnswer: 167, 31601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-4)\/268*-1). Suppose -4*v = -113 - r. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -10. Let y be 1\/(-3) + (-535)\/(-876). Let n = y - 2\/73. What is the second biggest value in v, n, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -260, -1036, -2330, -4142, -6472, -9320?\nAnswer: -12686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 400395419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m + 2280 = 0. Suppose -18*q + m = -15*q. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**5 - 8*s**4 + 8*s**4 + (s**4 - 3*s**4 + 4*s**4)*(39 - 39 + 13*s).\nAnswer: 30*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/10*3*-2. Calculate the common denominator of (-705)\/108 - c\/4 and -3\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 4 (b) -1 (c) 1036688 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1548005 and -89\/1275.\nAnswer: 394741275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01384 - -0.019486. Round h to four dps.\nAnswer: 0.0333","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 20*j**2 - 38*j - 110. Give f(22).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33152 and 620928.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 41 + 15*b in the form w*b + p and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 25 - 45. Let v be -1*1 + x\/56. Let g be (-11)\/22*(-8)\/22. Which is the nearest to -1? (a) v (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(18) + sqrt(2) + -4 + sqrt(2) + -1)*5.\nAnswer: -50*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 488167759 and 2581?\nAnswer: 2581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.95 + 0.05. Let m = -11.6 + y. Which is the smallest value? (a) m (b) 1\/4 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 11*d**2 + 10*d + 29. What is the least common multiple of v(-10) and 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 6) to base 12\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130404030 - 3323?\nAnswer: 130400202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43620 and 205710.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13678*45\/(-19215) - 6\/(-183).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**4 + 45*m**3 + 120*m**2 + 100*m = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3300 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/7 of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11360, 22701, 34064, 45461, 56904, 68405, 79976, 91629?\nAnswer: 103376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 90, 103, 116, 123, 118, 95?\n\"Answer: -n**3 + 6*n**2 + 2*n + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 355231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(4)*6)\/(1*1*sqrt(4)) + -4 + ((4*(sqrt(441) - sqrt(49)))\/(5*sqrt(252)))**2.\nAnswer: -788\/225 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-135))\/(66\/297)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(5\/2)*a\/((a\/(a**0*a*a)*a)\/a)*(a*a*a**(-2\/5)*a*a)**(-2\/125) assuming a is positive.\nAnswer: a**(5553\/1250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0512318 and -79.\nAnswer: 4.0473122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 0*l**4 + 52\/15*l**6 + 0*l**5 + 0*l**3 - 297\/2*l**2 - 2 - 199*l. Differentiate p(u) with respect to u.\nAnswer: 416*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*4 - (3 + -2*sqrt(3))) + 3)**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3766 bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f**2 + 2*f - 13. Let y(j) be the second derivative of j**4\/3 + j**3\/6 - 3*j**2 - 6*j. Suppose 30 = 3*l + 2*l. Determine l*x(w) - 13*y(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 36 = w, 6*h - 108 = -3*w + 3*h. Suppose -l + w = l. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 214 - -71. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w - 3. Let a(d) = d**2 - 7*d + 14. Let i be a(4). Let s(m) = 513*m**2 + 2 + i*m - m - 1 - 514*m**2. Calculate b(z) + 3*s(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**2 - 2*q - 2. Calculate the remainder when 41 is divided by i(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + e2fe?\nAnswer: e30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 6*g + 3*y + 210, -5*g = -4*y - 348. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 300420.5 millilitres?\nAnswer: 300.4205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 0*a = 102. Let o = a + 19. Suppose 3*p - 6 = -o*m + 6, -4 = 2*m - p. Solve 0 = -m*h + 2*h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, 4, 136 in ascending order.\nAnswer: 4, 5, 13, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6705*l**3 - 4*l**2 - 3*l - 10. Let i be (-3)\/1 + (2 - 6). Let o be x(i). Round o to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27540 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - (12 - 4 - 10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**4 + 10*i**3 - 680*i**2 wrt i.\nAnswer: 144*i + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 0*q + 55\/3*q**3 - 50 + 105\/2*q**2. Find the second derivative of a(c) wrt c.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*x + 19437493792*x**3 - 2*x - 19437493791*x**3 - 2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2. Let c(x) = -2*x**2 + 1 - 3 - x**2 + 5*x**2 + 2*x. Calculate -c(u) - 4*r(u).\nAnswer: 2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1. Let a be -19 + (-1 - 1 - -5). Let s be (-12)\/a + (-6)\/(-24). Let w(c) = -2*c**2 - 5. Give s*w(m) - 5*i(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1618.549 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 16 = -5*m, 3*j - 2*m - 4 = -0*j. Let r be j\/(-22) + (-35)\/(-11). Suppose -x + 296 = r*x. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = t - 216, 3*t - 288 = -o - 3*o. Let g = o - 29. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5248 + -0.4248. What is the closest to r in 2, 3\/2, 0.094?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2251862.4 months to decades.\nAnswer: 18765.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66468.64469 + -66468. Let z = -0.0742 + y. Let x = z - 0.57. Round x to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3675 (base 10) in base 15?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -183*h**6\/40 - 41*h**5\/60 - h**4\/24 + 61*h**2 - 3. Find the third derivative of k(w) wrt w.\nAnswer: -3294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*s - 2*z = 39*s + 64, 0 = -2*s + 4*z + 128 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 99414672 to the power of 1\/2, to the nearest integer?\nAnswer: 9971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 17 = -83. Let t = 42 - c. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1211401\/120 - 10095. Let i(f) be the third derivative of 0*f**3 + 0 - 1\/420*f**7 + 0*f - u*f**6 + 26*f**2 + 0*f**4 + 0*f**5. Factor i(v).\nAnswer: -v**3*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -366 - 182. Let y = 529 + r. What is the second biggest value in 2, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*g**3 + 53*g**3 + 19 - 10 - 9 + 65*g**3.\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153 - -67. Suppose -2*z = d - 224. Let s = -4 - -7. Solve z*w - 16 = -3*t, s*w + 2*t + 16 = 7*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + b + 58 - 19, 4*b = 4*q - 36. Let d = -1159.9 - -1159.6. What is the smallest value in 4, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -66*a - 391. Let w be v(-6). Solve w*s = 5 - 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 428273863.6 + -6964351151.6. Let o = d + 6536077215.99999967. Let b = o + 72. What is b rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 3:18 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (180\/(-80))\/((-22)\/8 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**4\/72 + x**3\/9 - 5*x**2\/12 + 68*x. Find g, given that l(g) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -38. Let k be 3\/(i\/((-28)\/6)). Let g be (264\/(-77))\/((-1)\/k). What is the greatest common divisor of g and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 13*n**2 - 14*n - 7. Let c be l(-14). Let d be (-123)\/(-15) + 20\/25. Is 1843 - 0 - (d + c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 3*y**2 - y + 3. Let v be d(3). Let n(a) be the second derivative of a + 1\/2*a**3 + v*a**2 + 0. Let o(h) = 2*h. Determine n(o(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 420 = -8*d. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23804.31 and 5.\nAnswer: 23809.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279, -1149, -2599, -4629?\nAnswer: -7239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 228 - 130. Which is bigger: 99 or a?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -185 + 193.3. Let n = -16.1 + c. Let i = -2 - n. What is i rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 972*j**4 + 18684*j**3 + 100479*j**2 + 102762*j + 29403 = 0.\nAnswer: -9, -11\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -315311*-3\nAnswer: 945933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 147\/21 + (87 + 2)\/(-3 + -10)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3415172503405 - -4\nAnswer: 3415172503409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (-20 - -9 - -47)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*n = -48, 95*n = 2*y + 92*n - 24. Solve 4*f = 2*o - f - y, 8 = 4*o - 2*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - 226532?\nAnswer: -226552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -528, -1303, -3086, -6381, -11692?\n\"Answer: -84*f**3 - 187*f - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -52336167\/2 equal to -26168084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 16.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**5 - 31*h**4 + 22*h**3 + 10933*h**2 wrt h?\nAnswer: -60*h**2 - 744*h + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.48 - 121.52. Let u = r - -122.54. Let g = u - -3.46. What is the third smallest value in 4, 25, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q**2 + 6*q**2 + 114*q + 96*q - 210*q.\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -486077 or -486289?\nAnswer: -486289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-5 - (-19 - 14))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 13*h - 102. Let f be w(8). Sort f, 3, -13, 5.\nAnswer: -13, f, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 3:19 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 334 = -r, -36*r + 38*r + 5*z - 608 = 0. Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-77)\/22 + 1500\/264 + -2. Which is the third biggest value? (a) -2 (b) x (c) -1\/210 (d) 2\/5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5039588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -824 * -0.057\nAnswer: 46.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -34*d + 3. Let u be o(-3). Let t(j) = j**2 + 3*j - 12. Let l be t(6). Calculate the greatest common divisor of l and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2980 = -2*g - 0*u, 3*u - 4446 = -3*g. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 - -2. Let x = 0.5 - q. Let h = 1 + x. What is the nearest to 0.2 in h, -1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -235 - -655. Let s be (3\/3 + -2)\/((-1343)\/(-340) + -4). Calculate the greatest common divisor of x and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j**2 + 5766*j + 38041. Calculate f(-634).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -32. Let g = i - 13.00102. Round g to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 36146107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*c = -165*c - 168. Let n = 128 + c. Calculate the least common multiple of n and 14.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqwghgjqjwvg. What is prob of picking 2 j?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*((-5)\/2 + 0). Let k = 70 + -40. Let j = k + 15. Calculate the greatest common factor of v and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 41349, -0.59, 1?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 43428 = 801*t + 1195*t - 452*t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117650263*p**4*x**2 - p**2*x**2 - 2*p*x - p + 355*x**2 - 22745 wrt p?\nAnswer: -1411803156*p**2*x**2 - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 407070.2 litres to millilitres.\nAnswer: 407070200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 84*k - 45. List the prime factors of f(19).\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 13 = -s, 0 = -2*a + a - s + 3. Solve -a = -8*v - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13606*h**2 + 1127*h**2 + 6218*h**2 + 6263*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 4*s**2 + 3*s - 5. Let i be o(4). Let y(k) = 18*k + 5. Let a be y(4). What is the highest common factor of i and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 2*d**2 + d**2 - 2 + 2 + d**2 + (3*d + 2*d - 2*d)*(4*d + 2*d - 4*d) + 0 + 0 - 2*d**2 - 8 - 24*d**2 + 8 to r*d + c + s*d**2 and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 89, 189602 in increasing order.\nAnswer: -1, 89, 189602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6949.\nAnswer: 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g + 16. Suppose 5*p - x = 563, -4*x - 2 - 442 = -g*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*p*w**3 + 2*p*w**2 - 2*p*w + 11*p + 231*w**3 + 3055*w**2 - 5588614*w + 1 wrt w?\nAnswer: 60*p*w + 4*p + 1386*w + 6110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 89. Let a be b(-3). Let m be -2*(-1)\/8 + a\/(-8). Let x(z) = z**2 - 2*z + 8. Let w be x(-8). What is the highest common factor of w and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s\/s**(1\/17))\/s*s**(-1\/3))\/(((s*s\/s**10*s)\/s)\/s*s\/s**(-2\/5)) assuming s is positive.\nAnswer: s**(2348\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 - 5)*(4*l - 3*l - 10*l) in the form p + r*l and give r.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uudd when four letters picked without replacement from {d: 14, u: 5}?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 10 = 9. Let j = t - 9. Is 10 a factor of (j\/(-6))\/(2\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/11 - 1064*o**3\/11 + 22720*o**2\/11 - 143200*o\/11 + 204000\/11 = 0. What is o?\nAnswer: 2, 10, 510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 - 5*j + 7. Suppose -3*w - w - 4 = 0. Let d = 3 + w. Suppose -6 = -d*p + 6. Let b(r) = -6*r**2 - 14*r + 20. What is p*b(v) - 17*f(v)?\nAnswer: -2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1740 and 2610.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*r + 55*r - 33. What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20935*w**3 - w**2 + 21*w - 5 wrt w?\nAnswer: 125610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/((-13)\/6) + -4. Let m(x) = 3 - 2 - 4*x + 3*x**2 - 4*x**q. Determine m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99 + (-29316)\/(-140))\/(4\/5).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 387468 and 42.\nAnswer: 2712276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 9 - 9*n**2 - 10*n**2 + 32 - 6*n**2.\nAnswer: -25*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8914 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-10))\/(4\/490). Suppose 6*f - 4*f = z. Let j = f + -34. Solve 0 = 7*y - 2*y - j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2*u - 16 = -2*a, 4*u - 32 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by (-128)\/(-3)*3\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4341 and 1464.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322041 is divided by 23002.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3*w - 17 = 0, 3*p + 18 = w + 2*w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Let g = -1.2 + 5. Let a = g - 4.2. Which is greater: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**3 - 778*a**2 - 387*a - 593. Calculate y(195).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -34*g**7\/35 - 17*g**5\/60 - 283*g**2. What is the third derivative of k(w) wrt w?\nAnswer: -4896*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -19 (b) 0 (c) 4\/69 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, -0.5, -2\/5, -5\/11, -13, 0.3, 7\/219?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, -1\/8, -5, 111, -1\/3 in increasing order.\nAnswer: -5, -0.4, -1\/3, -1\/8, 2, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2160, -2158, -2156, -2154?\nAnswer: -2152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 6*q**2 - 4*q + 5. Give d(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/5)*v\/(v\/(v\/((v\/(v*v\/(v**3*v*v))*v)\/v*v*v)))*(v**(2\/3)\/v)**(-2) assuming v is positive.\nAnswer: v**(-77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 180*o + 13 + 14*o + 128*o. Calculate the remainder when v(1) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 396\/457 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 6*k + 3 in the form v + c*k and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y + 12 = 0. Let q(k) be the third derivative of -k**6\/120 - k**5\/30 + k**4\/6 - k**3\/3 - k**2. Does 14 divide q(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29102 divided by 20?\nAnswer: -14551\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -566, -567, -570, -575, -582, -591, -602?\n\"Answer: -p**2 + 2*p - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -558603\/4 + 1326682383\/9500. Find the common denominator of a and -41\/950.\nAnswer: 4750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 21?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -589 - -607. Sort 4, g, -5, 3 in descending order.\nAnswer: g, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2 + (2 + 2 - 5)*(4 - 1 - 1))*(0 + 0 - 5*l**2)*(2*l + l - 4*l).\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l*l**(2\/31)*l*l*l)\/l*l))\/(l*l\/(l**(-1\/2)*l)))\/(l**(1\/3)\/l*l\/(l**(-2\/3)\/l)) assuming l is positive.\nAnswer: l**(-469\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -265 (base 16) to base 3.\nAnswer: -211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3981 - -3500.2. What is k rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 107*t**2 + 1303*t + 584. Give b(-118).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g + g)*(-13*g**2 + 4*g**2 + 0*g**2) + g - g + 2*g**3 + (0*g - g - g)*(2*g**2 + 4*g - 4*g).\nAnswer: -38*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**8\/4480 - h**7\/840 - h**6\/480 + h**4\/12 - 2*h. Let b(l) be the third derivative of u(l). Let b(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m - 7112 = -3815 - 5870 for m.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3838 to 2 decimal places.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23, 46, 69, 92, 115?\n\"Answer: 23*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783675459 is divided by 139.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*m + 19*m - 7*m)*(3*m**2 - 2*m**3 - 3*m**2) - 3*m**4 + 0*m**4 + 4*m**4 + (-2*m**2 - m**2 + m**2)*(-m**2 - m**2 + 0*m**2) + m**2 - m**2 + 4*m**4.\nAnswer: -87*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19 + 558\/(-30) - 16\/(-10). Solve 1\/5*p**4 - 1\/5*p**s - 1\/5*p + 1\/5*p**3 + 0 = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/((-242)\/33 + 8). Calculate the highest common factor of p and 1863.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 16 + 16 = 0. Suppose j = -5*n + 2296 - 51. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*z - 40*z**2 - 36*z**2 - 35*z**2 - 41*z**2 + 150*z**2 - 181*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 8260*f**2 - f - 8260.\nAnswer: (f - 1)*(f + 1)*(f + 8260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230222303 - -11332?\nAnswer: -230210311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*r = 26*r - 834563. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 7*z = -1120. Let i = -109 - z. Suppose -a - o = -11 - 9, 2*a - 45 = -o. Solve 2*r + 1 = -g - 0, -5*r + a = -i*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3290?\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 454992.54 rounded to the nearest 10?\nAnswer: 454990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:52 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68112 by -176.\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2366 is divided by 1177.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265 and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, h: 3, j: 2, n: 1}. What is prob of picking 2 h and 1 n?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 2*c + 5. Let g be v(4). Let n = -19 - g. Solve 2*h - 12 + 4 = n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1543519499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*m + 3*f, 4*m - 8 - 15 = -f. Let p be (-3)\/(m + -4)*-1. Let i be (-2 + 13 - -2) + p. What is the highest common factor of 42 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.27 + 0.07. Let q = 20.8 - 19. Let w = q - l. Sort w, -2, -0.4 in decreasing order.\nAnswer: w, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -977, -970, -959, -944, -925, -902?\n\"Answer: 2*y**2 + y - 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, z: 6}. What is prob of sequence bb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 1, s: 2}. Give prob of sequence vss.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**6*q + 299*m**4*q**2 - 209*m**2 - m*q**2 wrt m?\nAnswer: -120*m**3*q + 7176*m*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7999 - -7998.7. Which is the fourth smallest value? (a) 0 (b) k (c) 2\/11 (d) 1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 655 divide 9685308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 7*t**2 + t - 10. Let w be g(7). Let i = w + 10. Let s = 2 - i. Sort 4, -4, s in ascending order.\nAnswer: s, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(2*p**2 + 79*p**2 + 57*p**2 - 4*p**2 + p**2 + 5*p**2 + (1 - 3 + 3)*(-2*p**2 - 3*p**2 + 6*p**2)).\nAnswer: 282*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 3*u**2 + u - 13. Suppose -r - 4 = r - 4*l, 5*r + 2*l - 26 = 0. Calculate the remainder when 19 is divided by h(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 16*j**2 + 294*j + 11. Give x(11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {z: 1, x: 1, r: 4, m: 1, i: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 3:38 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - v = 8 + 7, -v = -5*b - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 11\/6, -0.07, 2\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/504 and 167\/1080?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + 0. What is the smallest common multiple of 4 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 374.8 - 326. What is h rounded to zero decimal places?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1635533 divided by 8?\nAnswer: -1635533\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a - 3 = 0. Suppose l - a = 7. What is the smallest common multiple of l and -1 + (-3 - -2) - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m + 5012 - 1580 = 45*m. Solve 0 = -m*f + 28*f + 55 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 259207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, -1, 256, 1.06 in increasing order.\nAnswer: -4, -1, 2\/9, 1.06, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 49*f**2 + 49*f + 69. Let i be h(50). What is the greatest common divisor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/25*15\/6*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 5*j - 5*l - 5, -4*l + 24 = -4*j. Let o = -7403 + 59313\/8. Calculate the common denominator of j and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k. Let h(o) = -150 + 9*o + 150. What is a(h(z))?\nAnswer: -27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 8*i**2 + 8*i - 9. Let k be p(-9). Suppose 5*h - 35 = 4*g - 8*g, k = -4*g - 2*h + 38. Let z(f) = 20*f - 21. Is z(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (4 - -1) + -2 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**4 - 18*f**3 + 980884*f**2 + 77448505.\nAnswer: 8*f**3 - 54*f**2 + 1961768*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/(30\/(-75))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/4, -3\/4, -9.9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -2 + 1)\/((-30)\/(-1105)). Let x = 71\/2 - a. Sort 5, -0.5, -4\/9, x in decreasing order.\nAnswer: 5, -4\/9, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**2 + 2*l - 2. Let u be n(-2). Calculate the highest common factor of u and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 6 + 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 17\/2 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 6*c**2 + 48*c + 163. Determine s(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 3*f - 5*f + (-2 + 2 + f)*(1 - 1 + 5) - 3*f - f + 3*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3166109 is divided by 132.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1331) - -3*sqrt(1331)) - sqrt(1331) - -5*(sqrt(1331) + 2 + sqrt(1331)))**2*-3.\nAnswer: -674964 - 6006*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1962*p - 17973 - 17968 + 35941)*(-5*p**4 + 3*p**4 + 8*p**4).\nAnswer: -11772*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 5) in base 12?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 14459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*l - 2*q - 1, -4*q = -4*l - 4. Let m(p) = 2*p**2 - 3*p + 2. Let n be m(l). Solve -n*y = -t - 8 - 9, 4*t = 4*y - 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83659109 divided by -37\nAnswer: 2261057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/7 - 6*w**3 + 150*w**2\/7 + 62*w + 240\/7 = 0.\nAnswer: -1, 8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fijem. Give prob of picking 1 j and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1139, -1129, -1113, -1091, -1063, -1029?\n\"Answer: 3*t**2 + t - 1143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4353172*d*m**4 - 9747*d*m**2 + 2*d*m + 69*m**2 wrt m.\nAnswer: 104476128*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -929000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (5 - (-1 + 7)) + (-86 - -94)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -16*w**2 - 3*w + 1. Let y be s(2). Let l = -34 - y. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2371*a**2 - 7*a**3 - 28*a**3 - 2398*a**2 wrt a?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = -3*a + 13884. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20450939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.02189 decades in months?\nAnswer: 9722.6268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22254*z**2 + 114160*z wrt z.\nAnswer: 44508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 188.589 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39850 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 121365048 to the power of 1\/4, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 15 = 5*m, -7*p + 35 = -5*m - 2*p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + j - 8*j + 1 + 9*j - 9*j.\nAnswer: -12*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 2.1 (c) 2 (d) -0.04485 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 2, 8, -864, 0.01?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 158 + 238 = 0. Is (79082\/n)\/(44\/352) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/(-5292) - 79520\/(-4410).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -32. Let b = f + 22. Suppose 0 = 3*z + b*x - 3, 0*z = -4*z + 5*x + 40. Solve 2*l - w + 5 + 4 = 0, 5*l = -z*w - 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 57, 118, 193, 276, 361?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**7\/840 + 7*b**6\/360 + 7*b**5\/120 + 7*b**4\/24 - b**3 + 1. Let f(q) be the third derivative of l(q). Calculate f(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 864 and 4254304.\nAnswer: 114866208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7181403*c**2*h**3 - 2*c**2*h**2 + 4963550*h**3 with respect to c.\nAnswer: -14362806*c*h**3 - 4*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*v**3 + 3595802*c*v + 7201965*v**3 wrt c.\nAnswer: v**3 + 3595802*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -358 - -354. Let b = -10 + -1. Let h(p) = -5*p - 1 + 7 - 5 + 3*p. Let i(u) = 5*u - 3. What is b*h(v) + g*i(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6957807 and 747.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-79)\/(-4) - (-8)\/32. Suppose -x + 6*x = 4*h - p, 4*x = h - 5. What is the units digit of 1*(6\/3 + x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 1. Let i be p(1). Let h = 7 - i. Let k(t) = 2*t - 2. Let u be k(h). What is the greatest common factor of u and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**5\/20 + 7*u**4\/12 - 5*u**3\/6 + 3*u**2 + 614*u. Determine k(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8121*b**2 + 126 - 126 - 19492*b**2.\nAnswer: -27613*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**3 - 6*g**2 + 10*g. Let n(u) = u**3 - u. Suppose 15 = 2*m + 35. Let s(v) = m*n(v) - r(v). What is the third derivative of s(h) wrt h?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108362?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4225.731l to millilitres.\nAnswer: 4225731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8*-6)\/(6\/1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Let a = -8 - -6. Find the common denominator of 22 and 50\/o - (1 + a).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(6336) + -1 + 0 + 5*(sqrt(6336) - -2*sqrt(6336)))**2.\nAnswer: 2304*sqrt(11) + 1622025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3518300 to the nearest 10000.\nAnswer: -3520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -858 + 909 + (-68 - 0).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4*g - 4 = -2, 3*g + 18 = -4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**3 - 153*y**2 + y + 12057 wrt y.\nAnswer: -3*y**2 - 306*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1117507913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - u = -0*u - 18, 14 = -3*i - 5*u. Let j(y) = -2*y - 2. Let w be j(i). Differentiate -w*l**3 + 31 - 7 - 14 wrt l.\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*c + (-1 + 1 + 2)*(1 - c - 1) - 2*c + 4 - 4 + (-2*c - 4 + 4)*(3 - 3 + 4))*(-4*c + c + 2*c) to the form g*c**2 + d*c + i and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 26*o + 126. Determine l(-28).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -y + 17. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 311828025 by 85.\nAnswer: 3668565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*l + 10. Let x be (-2 + 5)\/((-27)\/l). What is the closest to 0 in -1, -2\/13, x?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -163b27 + 11?\nAnswer: -163b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/5))**24)**(1\/5)\/((t\/(t\/(t**1\/t)*t*t))**0)**(-1\/6) assuming t is positive.\nAnswer: t**(72\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2758941192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.66 + 25.94. What is b rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/5 - 6876*j**2\/5 + 169266*j - 839452\/5 = 0. What is j?\nAnswer: -3557, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1.95. Let x = m + -0.55. Let k = 3 + -4. Which is the smallest value? (a) -0.2 (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4907 - -4804) + (-38 - -2).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.040467 to one dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 2*s + 0*s + (3*s - 3*s - 2*s)*(5 - 3 - 3) - 3 + 3 - 2*s + (0 + 0 - s)*(-1 + 3 - 1) + (18*s + 35*s - 15*s)*(3 + 1 - 2) - s - 2 + 2.\nAnswer: 75*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4232.6 + -4233. Suppose 0 = 3*o - 1 - 2. What is the fourth smallest value in o, -27, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52546037.\nAnswer: 151, 347987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and -2.0898.\nAnswer: 1.67184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/2134080 and -1\/102960.\nAnswer: 23474880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 301668 divided by 92?\nAnswer: 3279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 + 86\/(-18). Let f = 8 + z. What is the third derivative of j**2 + 3*j**4 - f*j**2 - j**2 + 6*j**2 wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4. Let f(g) = -25. Let i(j) = f(j) + 6*w(j). Let a(d) = -8*d**2 - 67*d + 4. Let u(n) = -a(n) - 4*i(n). Find the second derivative of u(z) wrt z.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2*w + w)*(-2 + 2 - 2) - 33 + 131*w + 33.\nAnswer: 127*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*n = -14, 3*n = -17*b + 22*b - 12. Solve 5*w + 2*o - 2 = 11, 5*w - b*o = 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1023538 = -136*d - 292694 + 1082444. Is 67 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/((-5)\/(25\/(-11))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405.3726t in micrograms?\nAnswer: 405372600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -5 + (-2 + -8 - -24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h + 25 = 5*g, -15 = -4*g + 3*h. Suppose -5*d = b - 15, 4*b = -g*b + 5*d + 10. List the prime factors of 10*(-2)\/((-4)\/b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 176*a**4 + 1472 wrt a.\nAnswer: 704*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.00941 times 0.5\nAnswer: 0.004705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 344787 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2882, -2921, -2968, -3023?\nAnswer: -3086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28754.9 + -28755. What is the smallest value in 2129, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.8 + -28. Let v = 11.19943 + n. Round v to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 4*x - 45. What is the remainder when 29 is divided by m(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4482938 rounded to the nearest one hundred thousand?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p - 4*w + 4, 0 = 4*w. Suppose 5*l = s + 13, -4*l - p*s = s + 7. Suppose l*m - 5*m + 81 = 0. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**4\/2 - 2*k**3\/3 + 11. Factor l(a).\nAnswer: 2*a**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-2)\/(-1))\/((-16)\/56) - (-4 - 1215) and 18.\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = z - 12*x + 7*x, 0 = 3*z + 4*x - 788. Is 67 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z - 0. Let p be (2\/5)\/((-4)\/(-50)). Suppose 0 = 4*n + 2*o - 16, -z*o + 13 = p*n - 3*o. Which is smaller: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1178 - -2655. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944 a factor of 4078512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1248 * 0.09\nAnswer: -112.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 51451305 (base 6) to base 7\nAnswer: 15421154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17170*i = -17298*i - 2432 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 24600 = -6*a. What is a rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 + 36 - 26)*(-3*v**4 + 0*v**4 + 2*v**4)*(-2 + 5 - 1)*(1 - 4 + 1).\nAnswer: 408*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4060\/522 - (9 - 1). Suppose 4*n - n + k + 3 = 0, n - k = -1. What is the nearest to -0.1 in m, n, -0.9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 414*l - 4*l + 111*l + 382*l - 156*l in the form y*l + m and give y.\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -1449?\nAnswer: -7245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26798 + 80395\/3. Let j = -51 + 358\/7. What is the closest to 2 in 2, q, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037778743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 223*r - 1682*r - 748*r - 482*r)*(-16 + 10*r + 16).\nAnswer: -31350*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*c. Suppose -3*q + 15 = -c. Suppose -2 - 83 = -q*h. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25390*o**2 - 2*o + 7266?\nAnswer: -50780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (9 + -1 + 0 + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**4\/5 - 42168*o**3\/5 + 210891*o**2\/5 - 337452*o\/5 + 168732\/5 = 0.\nAnswer: -14061, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b - 3 + 3)*(658*b - 375*b - 2 - 365*b) as f + p*b + n*b**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-4))\/((-6)\/16). Let f(u) = q + 2 + 0*u + u**2 + 10*u - 3*u. Let j be f(-8). Calculate the greatest common divisor of 36 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 761.2909 litres in millilitres?\nAnswer: 761290.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 59*p**3\/5 + 343082*p**2\/5 + 1353951*p\/5 - 69732\/5 = 0?\nAnswer: -5811, -4, 3\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-24 - -12) + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -96. Let g(k) = -3*k**3 + 2*k**2 + 6. Let n be g(-4). Suppose n = 10*w + 70. What is the remainder when t is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000134464 to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - (sqrt(130) + 1*sqrt(130))*-3) + sqrt(130) + sqrt(130))\/(-2*sqrt(10)*3))**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 19 = -2*w, 42*f + 4*w - 90 = -236 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 163 and 13040.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -13*d + 19. Let b be j(2). Let u be (-1 - 6 - b)\/2. Let p(f) = f**2 - f + 28. Give p(u).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*t = 90*t + 276. What is the highest common divisor of t and 713?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f + 7. Let m be k(-4). Find the first derivative of -m*w - 31 + 12 + 16 wrt w.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -277102 - 1*(-12 - -10). Round s to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5306724008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2 + 3*d. Let k(v) = 55*v**2 - 84*v. Let w(q) = 5*k(q) + 30*m(q). Find the second derivative of w(l) wrt l.\nAnswer: 370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5005.9 + -5006. What is the nearest to -2\/7 in 1, x, -0.22, 5?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b - 28*b - 5199 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469629119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1.5. Let o = 4 - k. Let z = 6551.1 + -6550. Which is the nearest to 2\/7? (a) z (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1441444304 (base 5) in base 10?\nAnswer: -3859329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -122511 and 0.1?\nAnswer: -12251.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12\/209 - -1857\/418. What is the second biggest value in 1\/6, k, -3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009973248 to 6 decimal places.\nAnswer: 0.000997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -627.29 + -15.71. Let q = o + 643.4. Which is the closest to 0.01? (a) -0.4 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578504.\nAnswer: 2, 72313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1584)*-2*4 + -5 + sqrt(1584) + -1 + 0)**2.\nAnswer: -1296*sqrt(11) + 128340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z + 19*z - 5*z)*(-9 + 2 + 1)*(2*z - 8*z - 5*z).\nAnswer: 1584*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 4*h + h)*(219 - 39*h + 41*h + 397) to the form d*h + v*h**2 + a and give d.\nAnswer: -2464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-15)\/12*2645\/1150)\/(27\/432).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g - 5. What is the remainder when 89 is divided by ((-23)\/1)\/(-2 - g)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1770, 0.4, 1\/5 in ascending order.\nAnswer: 1\/5, 0.4, 5, 1770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3230381 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11116517051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u - 9. Let k be i(6). Suppose 3*p + 5*y - 42 = 0, -p = 3*p - y - k. Let s = -9 + p. Which is the closest to s? (a) -0.5 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 2. Let z be d(0). Let y be (-12)\/(-10) - (-2)\/z. Let i = 102 - 508\/5. Which is the nearest to -2\/5? (a) i (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4252 - 4645. Calculate the greatest common divisor of y and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80932.87 grams to tonnes.\nAnswer: 0.08093287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -77988 equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1326 and 119?\nAnswer: 15.7794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 4. Let o be g(-3). Let z(i) be the first derivative of 2 + 1\/2*i**2 + i. Let j(v) = 2*v**2 + 5*v + 5. Give o*j(f) - 5*z(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -6523a?\nAnswer: 65235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.05, 13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -269, -2, -0.2, 1579, -1, 3, -0.5?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 177?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350*n = 346*n + 168. Solve -9 = -39*s + n*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 13) to base 7\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71268481729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -65, 1, 0, -63, 10, 31?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 8) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 5*t + 7. Let q be (-1 - 1) + 1 + (1 - -4). Let w be k(q). Suppose 1528 = 5*d + w*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 6249 in decreasing order.\nAnswer: 6249, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, d: 11}. What is prob of picking 2 z?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 4\/11, -2\/467?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514*k + 5*k**3 - 514*k.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -784 + 1633. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 4)*4\/(-6). Let s = -96 + 96. Suppose s*v + 8*v - 72 = 0. Solve -3*j - q - l = 0, -4*q + 21 = -4*j - v*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76570733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2. Let l be n(2). Let w = -3 + -1. Let m(r) = r**2 + 5*r + 9. Let p be m(-4). Which is the nearest to w? (a) p (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18892?\nAnswer: 2, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 3*s + 70. Let o be 2\/(40\/s - -3). Let g be ((-1)\/(-2))\/(1\/12). Solve 4*r - g = o, -5*p = -r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78 (base 9) to base 7.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -2*b + 0 + 3\/2*b**2 - 2\/3*b**3. Is j(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 42*h = r - 15*h + 155, 5*r + 5*h = -75 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/((-2)\/3). Let v(x) = -x**2 - 4*x**2 + 5*x**3 + i + 5*x - 4*x**3. Give v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-6))\/(12\/(-18)). Suppose x = -0*x - 2, -m = w + 4*x. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - 6*c**3 - 9*c**2 + 7*c**2 as o*c**2 + n*c**3 + b*c + g and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6576, -6677, -6780, -6885, -6992?\n\"Answer: -h**2 - 98*h - 6477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -15193, -4, -1 in decreasing order.\nAnswer: -1, -4, -5, -15193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5 + 3. Suppose -c*a = -4*a + 72. Suppose -2 = h - 6. Calculate the highest common divisor of a and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 48. Determine a(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -30, -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + -17. Suppose -4*x - 82 = 2*s, s + 36 - 95 = 3*x. Let g = x - o. Calculate the remainder when g is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94694 + 94695. Let m = -1 + -2. Put h, 2, 20, m in ascending order.\nAnswer: m, h, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4)*(3 - -1). Sort j, 13, 1 in decreasing order.\nAnswer: 13, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 14 - 26 = 0. Suppose 29*u - 29*u - i*u**3 - 6*u**5 + 9*u**4 = 0. Calculate u.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -4162574533.\nAnswer: -4162574532.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 10.3, 2\/11 in decreasing order.\nAnswer: 10.3, 2\/11, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 + 7*v**2 + 9*v**2 - 5 - 20*v**2 + 8*v. Suppose 0 = 5*w + 3*m + 29, w + 5*m = -0 + 3. Calculate t(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*o - 30 = 122*o. Let v(z) = -17*z - 63. Let m be v(o). Solve -8*s + m = -2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 255.8735 litres?\nAnswer: 255873.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 3. Let y be z(-4). Let q = y - -6. Solve -25 = 4*u - q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (19 - -8) + -11 + -13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/5 - 4039*b\/5 - 4038\/5.\nAnswer: -(b + 1)*(b + 4038)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -7*x**3\/6 + 3*x**2\/2 - 53*x + 1. Let u(d) = 36*d - 14. What is -14*i(z) - 3*u(z)?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 15, -5, 0 in ascending order.\nAnswer: -5, -2, 0, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i = 18*i - 64*i + 680 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v - 2*v**3 - 2*v**2 + v**2 - 5*v**2 + 6*v to m*v + n + y*v**2 + q*v**3 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 361. Let k(o) be the third derivative of o**5\/15 + 398*o**2 + o. Give k(s(q)).\nAnswer: 4*q**2 - 2888*q + 521284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 1. Let s(w) = 3*w - 3. Let r = -5 + 2. Let b(x) = r*s(x) - 5*d(x). Let n be b(-5). Calculate the greatest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -114*d**2 - 7*d + 169. Let p(g) = 38*g**2 + 2*g - 56. What is -14*p(x) - 4*z(x)?\nAnswer: -76*x**2 + 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12512*v**2 - 22959 wrt v.\nAnswer: 25024*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.3 (c) -1220 (d) 3\/5 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -8. Let t(o) = -210 - 3*o**2 + 110 + o**2 + 2*o + 0*o + 104 - o**3. Determine t(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 + 8 + -8)*-1. Solve c + 1 = -4*t, 0 = -2*t + 5*c - 8*c - r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.417*-0.3\nAnswer: -0.1251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 - 4*n**3 - n**3)*(n**2 + 0*n**2 + n**2) + 3*n**5 - 3*n**5 - 6*n**5 + (n**3 + 2*n**3 - n**3)*(-3*n**2 - 2*n**2 + 7*n**2).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7102, -14205, -21308, -28411, -35514?\n\"Answer: -7103*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 - 2 = 0. Calculate the common denominator of -1 - 0 - 123\/(-14) and ((-4)\/12)\/(m\/(-303)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -568671?\nAnswer: -1\/189557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 2*t**3\/3 - 17*t**2\/2 - 22*t + 5. Let x be k(11). Let m = 129 + -133. Sort x, 4, -2, m in decreasing order.\nAnswer: x, 4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - 3*w + 1. Let r be j(3). Suppose -31 = 2*z - r. Suppose -4*h - 256 = -2*n, 3*n - z*h - 359 = -2*h. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 - -0.8. Let v = 6 - u. Let g = -879 - -884. What is the smallest value in 1, g, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/23 - 27\/46. Let v = 13 - 9. Let f = 3.7 - v. What is the closest to f in 5, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/2 of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/483 in -26, -1\/2, -10\/3, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - l + 4. Let m be n(-3). Let g be 4\/m + (-12)\/(-3). Suppose -2*o + 2*j + 10 = 0, o + 5*j = 3*o - 25. Solve -g*b - 5 + 1 = o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.041 in -0.1, 80, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, k: 1, r: 10}. What is prob of sequence sr?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.064, -1\/9, -3, -1, -4 in increasing order.\nAnswer: -4, -3, -1, -1\/9, -0.064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2365.6 plus 0.2?\nAnswer: 2365.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6644.57 kilometers in nanometers?\nAnswer: 6644570000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4903189.99 to the nearest 10000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121664 is divided by 254?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-34)\/(-204)*2*-1*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/306 and -13\/63.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 3 = -11. What is the tens digit of -22*(-34)\/8*d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24765*q - 42811 wrt q?\nAnswer: -24765","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 10. Suppose -3*k + 480 = t*k. Is 12 a factor of k*2\/(-9)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 12*v**2 + 47*v + 7. Give x(-6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -93294 * -0.2\nAnswer: 18658.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 84. Let p = n - 56.248. What is p rounded to 2 decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -234 - -235.87. Let q = 0.13 + u. What is the second biggest value in q, -2, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15110 or 15114?\nAnswer: 15114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -3, 1\/3, 419, -0.3 in decreasing order.\nAnswer: 419, 1\/3, -1\/9, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 174 - 167. What is the remainder when j is divided by (35\/(-21))\/((-2)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/528 and -133\/432?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21\/2*t**4 + 269\/2*t**3 - 6 - 291\/2*t**2 + 52*t - 49\/2*t**5 = 0 for t.\nAnswer: -3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/6001952 and -53\/77.\nAnswer: 42013664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296599 and 956.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o - 5*o + 4*o. Let s(p) be the first derivative of -1 + 0*p + 0*p**2 - 2\/3*p**3. Calculate m(s(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.011860147+-2\nAnswer: -3.011860147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/(-6) + (-84)\/(-504). Let j(y) = 5*y**2 - 1. Let s be j(1). Suppose 324 = s*t - k*o, 5*o + 81 = -3*t + 4*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -60, -39, 2, 69, 168?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -602956947*b**4 - 689908215*b wrt b?\nAnswer: -7235483364*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 35*n + 40*n - 1658, 2*a + 5*n - 3316 = 0. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-4)*(148 - 12487088\/84388).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263 = -9*s - 241. Let k = s + 58. Find the second derivative of k*m**3 + 2*m**2 - 2*m**2 + 0*m**2 + 23*m wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1350 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 10*s - 7. Let g be n(10). Let c = -25 - g. Let w = 12 + c. Which is greater: w or -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-1 - -2) + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 150 = 4*i, -24 - 40 = -i + v - 9*v - 4 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7)\/h)**(18\/5)\/(h**12*h*h*h**2*h*h) assuming h is positive.\nAnswer: h**(-792\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 + 186911*t\/4 + 1308573.\nAnswer: -(t - 186939)*(t + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 29791210 to the nearest 10000.\nAnswer: 29790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, 14686, -19, 1, -6.\nAnswer: -19, -6, -2, 1, 7, 14686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6156 + 6146. Let j(d) = d**2 - d. Let c(b) = 2*b**2 + 5*b - 1. Determine y*j(q) - 2*c(q).\nAnswer: -14*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.50184912*2\nAnswer: 1.00369824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3624*v**2 - 6886*v**2 + 3261*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**2 - 2*j - 13. Let o(x) = -4*x**2 - 3*x - 12. Calculate 3*c(q) - 4*o(q).\nAnswer: -2*q**2 + 6*q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -80*u - 3197. Let l be y(-40). Let g = -7 + 16. Let v be 3\/g + 22\/6. Solve -v*o - 2*z - 4 = 2*z, -l*z = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -5*s**6\/6 - 4*s**5 - 15*s**4\/2 - 20*s**3\/3 - 5*s**2\/2 + 3469*s. Factor k(n).\nAnswer: -5*(n + 1)**3*(5*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -46. Which is the nearest to -2? (a) 3 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -1678.\nAnswer: -1677.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49629 and 1207.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 7:34 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 62*n + 93\/2*n**3 - 1\/2*n**5 + 2*n**2 + 14*n**4 = 0. What is n?\nAnswer: -2, 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (5 - -42 - 40)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*p**3 + 367*p**3 - 712*p**3.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458148?\nAnswer: 2, 3, 73, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234) - sqrt(234)*-4)\/(sqrt(192)\/sqrt(6)).\nAnswer: 15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l = 6. Let j be -3 - (-5 + -3 + 3). Put -2, l, j in decreasing order.\nAnswer: l, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*k**2 + 462*k + 5792.\nAnswer: 40*k + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5 = -0*p. Calculate the lowest common multiple of (-814)\/(-74) - (-1 - -1 - -4) and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 136 = 2*y - 376, -4*y - 627 = -5*j. Calculate the remainder when j is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -143424?\nAnswer: -143422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*g + 408 = -507, -4*g + 464 = 2*b. Suppose z - 325 = 4*n, 3*n + z + b = -z. Let t = 65 - n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2366*h**2 - 1107*h**2 - 13256*h**2.\nAnswer: -16729*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m. Let c be 2\/1 + m + -1. Solve 0 = -o + 3 + c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(475)*-4 + (sqrt(684)*-4 + sqrt(684))*4)**2 + -1.\nAnswer: -368*sqrt(19) + 160819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**3\/3 + 9*n**2\/2 - 9*n - 3. What is the units digit of s(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 29*t - 5. Let y(d) = -51*d + 163. Let h(g) = 26*g - 66. Let z(r) = 5*h(r) + 2*y(r). Calculate -3*n(p) + 4*z(p).\nAnswer: 25*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -362036*w**4 + 93446 wrt w.\nAnswer: -1448144*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 47\/4 of a hour?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 7:31 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5264 in 0, 258\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - -29. Suppose 0 = -12*y + 1036 + i. What is the smallest common multiple of 42 and y?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.06 + 0.06. Let c = 4 - 3. Let d = -3 - -3.1. What is the nearest to d in h, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2432 - 2330 = -4*n + 2*n for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 8132892?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -215, -7\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*k - 9, -5*g - 5 = k + 40. Let o = 4 + g. Let i be o\/15 + 1\/6. Put -0.4, i, 3\/7 in descending order.\nAnswer: 3\/7, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18753923*c**2*k**3 - 208609*c**2 + 21*c wrt k?\nAnswer: -56261769*c**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20a3a08 - 3?\nAnswer: -20a3a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1651?\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1be7 (base 15) to base 12\nAnswer: 3617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 7*v**2 + 6*v - 2. Suppose -3*k = -4 - 8. Suppose -k*z + 11 = -17. Let d be w(z). Solve -4*m + a + a = 6, -5*m - 4*a - d = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 3*n - 5*g, 0 = 5*n - 5*g - 15417 + 15307 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - n + 4*n)*(-1 + 1 + 3*n) + (5*n + n - 4*n)*(-3 + 3 - 2*n).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 6*o + 10, -1 = k - 2*k - o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 5:31 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 6*z + 11. Let f be n(-7). Suppose 0 = -4*a - 2*i - 20, -2*a - 2*i = -f*i + 10. Which is bigger: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0066013 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000207574 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -41 * -195658\nAnswer: 8021978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 12:47 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 593 = 3*b + 8, -4*g + 580 = 4*b. Let n(i) = i**2 + 2*i + 1. What is the remainder when g is divided by n(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -5, 1\/2, -19, 28.42?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eepp when four letters picked without replacement from {e: 4, p: 7, s: 2}.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(sqrt(1100) + -1 - sqrt(1100)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72087733 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 - b**2 + b**2)*(b + 8*b - 8*b)*(5 - 2 - 1) in the form c*b**3 + m*b**2 + w + q*b and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8933?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 1. Let o(h) = -186*h + 367*h - 182*h. What is l(o(a))?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1816462518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278988600 divided by 120.\nAnswer: 2324905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -98, -178, -260, -344, -430, -518, -608?\n\"Answer: -u**2 - 77*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + (-6 - (3 - (16 + -3))) + (36 - 34).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 154134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-2) - (11 + -11)\/(-13 + 12).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 8:35 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6*(-36)\/(-24). What is the second smallest value in 0.1, -5, 2, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 3, -32, 20 in decreasing order.\nAnswer: 20, 3, 2, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2081, 1945, 1713, 1385, 961?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1252 + -14049\/11. Let c = p - -25. What is the nearest to 0 in c, 0.5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -14.868.\nAnswer: 104.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1799*c**2 + 4724*c + 61843699.\nAnswer: 3598*c + 4724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 149586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 18, 5, -24, -75?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10530\/(-240))\/117)\/((-14)\/(-16)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4 + 20 = -2*f, 2*b + 24 = -4*f. Let d(o) = -55*o - 33. Let j be d(f). Calculate the highest common divisor of 32 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.44 and 64736.\nAnswer: 64736.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1100022001021?\nAnswer: -1100022001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 149305 - 49613 + 82908 = 0. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, c: 1, u: 2, s: 1, j: 2, x: 1}. What is prob of sequence ecj?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8708 is divided by 2580.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 29, 4, -5, -172, -1\/3?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -127737, -127772, -127833, -127920?\n\"Answer: -13*z**2 + 4*z - 127728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**4 + 4246*s**3 + 288566*s**2 + 835946*s + 551628 = 0.\nAnswer: -63, -2, -1, 2189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10863 - 10860. Factor -h**2 - 9\/4 - 1\/8*h**z - 21\/8*h.\nAnswer: -(h + 2)*(h + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 21, -30\/19, 0.3?\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6762.21 from -0.1.\nAnswer: 6762.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*p - 48*p + 256 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 35*y + 1243. What is the remainder when b(-30) is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8812 less than -0.0903?\nAnswer: 8811.9097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 699 and -0.96966?\nAnswer: -677.79234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 50*w - 45*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1807 is divided by 451?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - ((-1 - 0) + 2)) + 108 + (77 - 207)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 25*p = 30*p + 5, -n - 4*p = 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1053)*-2)**2 + sqrt(1053) - 1*(1 + sqrt(1053)).\nAnswer: 4214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -478600 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxhuhkhallax. Give prob of sequence lh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 34.58, -194, 2\/7, -3\/2?\nAnswer: 34.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1951, -3, 2 in decreasing order.\nAnswer: 2, -0.1951, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 196, 3 in increasing order.\nAnswer: -3, 3, 6, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4.5 (b) -0.3 (c) -4 (d) -8 (e) 0.5 (f) 330\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, m: 1, t: 3, b: 4}. What is prob of picking 1 t and 1 o?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, r: 1, h: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4428.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 7423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -4, 0, -233, 4.\nAnswer: -233, -5, -4, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121.26 - 121. Let d = f - 1.26. Let v be 2\/(-8) - 1\/(-1). What is the closest to d in v, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 - (-104 - -139 - (16 + 6))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4606 by 711.\nAnswer: 4606\/711","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -648488, -648483, -648478, -648473, -648468, -648463?\n\"Answer: 5*i - 648493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1701\/84 + 1*(-3)\/12. Solve 8 = 4*y + q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - n + 7. Suppose -5*k + 3*k = 0. Let j be w(k). Let h = 20 - j. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -0.5. Put -0.3, q, -2\/9 in increasing order.\nAnswer: -0.3, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**4\/7 + 596*b**3\/7 + 15742*b**2\/7 - 90164*b\/7 + 16080 = 0?\nAnswer: -268, -35, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 656 and 22?\nAnswer: 7216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8134 + 9.5064. What is w rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 + 4. Let k be (-8)\/(-16) + 1\/2. Let p(h) = -h**3 + 0 + 2*h**3 - k. Give -d(r) - 4*p(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/9 + 536836*j**3\/9 - 2684144*j**2\/9 + 417532*j - 178942 = 0. What is j?\nAnswer: 1, 3, 268413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**3*u**2 + 38*t**3*u + 12*t*u + 5*t + 3*u**2 wrt t.\nAnswer: 12*t*u**2 + 228*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvoaaaowyo. What is prob of sequence vvwo?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1784 = -0*a - 2*a, 2*i = -a + 1775. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14*15\/(-420))\/((-1)\/13518)?\nAnswer: 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -417 (b) 64 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t - 1. Let q be d(2). Suppose r = q*b + 507676 + 62328, -5*b + 3*r = 950012. What is b rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1449 = -57*t + 90. Calculate the smallest common multiple of 90 and t.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:03 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - (4 - 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671351 (base 8) to base 4.\nAnswer: 313023221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 62938.3ml?\nAnswer: 62.9383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 3, v: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 3, -4*c + 0*c - 5*s = -45. What is the least common multiple of 13 and c?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqsflfsqfssfffffl. Give prob of sequence ll.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -355, -1513, -3425, -6091, -9511, -13685, -18613?\n\"Answer: -377*u**2 - 27*u + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = -4. Let a = -7 - g. Solve w - 5*c = 5*w - a, 3*w + 5*c - 2 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-38)\/(-8) + 5\/20. Let a be ((f - 1) + -1)\/(-1). Let w(c) be the second derivative of c**3\/6 - 3*c**2\/2 + c. Give w(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143 - 15541?\nAnswer: -20124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-160)\/(-24)*(-6)\/(-5). Let g = 27 - u. Let l = g + 54. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 + 5*n**2 - 11*n - 13. Let y(p) = 2*p**3 + 5*p**2 - 9*p - 12. What is 5*y(u) - 4*z(u)?\nAnswer: -2*u**3 + 5*u**2 - u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) 2 (c) 89\/2 (d) 5 (e) -0.3 (f) 256\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 74*d - 35 - 6*d - 28*d - 4. Calculate the remainder when a(9) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1381640 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f. Suppose f = 4*q - 3 - 5. Suppose 0 = -q*i + 31 + 7. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.42227?\nAnswer: 1.68908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 674000 + (0\/7)\/(3 + -1). Round v to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 0. Let f = -0.7 + 0.7. Let i = 0.1 + f. Which is the third biggest value? (a) 0.3 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 2 - (7 - 7). Suppose 3 = i + 2*i. Let z = i - u. Which is the second smallest value? (a) z (b) 0.5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 106 (b) 1\/2 (c) -2\/11 (d) -0.1 (e) 2\/9 (f) 1.9 (g) 4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65\/4 + 16. Suppose s = 9*l - 5*l + 20, 4*l - 3*s = -20. Which is the closest to y? (a) 6\/11 (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15873257 to 3 dps.\nAnswer: -0.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 919529461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i\/((i*i**10*i)\/i))\/i*i)\/(i\/((i\/i**(3\/7))\/i*i)))**(2\/11))**44 assuming i is positive.\nAnswer: i**(-472\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/29 (b) -1 (c) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 887*-26.\nAnswer: -23062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1. Let r = 6 + -8. Let v be 1\/(-2)*0\/r. Suppose 5*u + q + 2*q + 22 = 0, v = -u + 4*q + 14. Let g(h) = -2*h - 2. Determine u*l(b) - g(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjkojjkxcxjxkk. Give prob of picking 1 x and 1 j.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2592\/30)\/(-18) + 8\/10. What is the third smallest value in x, 5, 3, 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -624 - 1491 + 303 = 151*y. Which is the third smallest value? (a) 4 (b) y (c) 2\/3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 594 in 21, 3, 18, -2\/11, -0.1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -31. Let b be (z\/6)\/((-37)\/(-4)). Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -41538, -41610, -41682, -41754?\n\"Answer: -72*l - 41466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 732*j**2 - 1466*j**2 + 730*j**2. Let r(s) be the third derivative of 8*s**5\/15 + 16*s**2 - 5. Calculate r(u(i)).\nAnswer: 512*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tququuuuququqtqq. What is prob of sequence tt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 85059094 divided by -42529547?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4 + 5 - 2*d**2 + d - 6 + 3*d**2. Let m be x(7). Calculate the highest common divisor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3 + 7*l - 1 + 1 + 5. Let g(t) = 2*t - 2. Let z(a) = -9*a + 10. Let j(r) = 5*g(r) + z(r). What is j(u(o))?\nAnswer: 7*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) -175 (b) -3 (c) 17 (d) -2\/11 (e) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -182 (base 14) to base 9\nAnswer: -374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*y - 6*y. Let b be 9 - -1 - ((-40)\/(-4) - 6). Let c(l) be the first derivative of -l**2\/2 - 18. Let k(p) = 7*p + 2. Determine b*c(f) + y*k(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 + 90*o + 8. What is i(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/5 - 9378*o**2\/5 + 56349*o\/5 - 84564\/5.\nAnswer: -3*(o - 3)**2*(o + 3132)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 5*j**2 + 3*j - 1. Let r be n(-4). Let t be (-7)\/3 - r\/(-9). Are -5 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/11029872 and 11\/15756960.\nAnswer: 110298720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 40. Let g(j) = -2*j + 41. Let u be g(f). What is the third derivative of 4*d**5 + u*d**2 + 6*d**2 - 24*d**2 wrt d?\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8958495 months in decades?\nAnswer: 0.0074654125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 + 6*f**2 + 74309*f - 13*f**2.\nAnswer: -2*f**2 + 74309*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 776*c*d*k + 3*c*d + 6*c*k + 2*d*k - 20642*k with respect to c.\nAnswer: 776*d*k + 3*d + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 21. Let x be j(-17). Suppose 7 = 2*a + 19. Let q = a - x. What is the third smallest value in 0.4, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 560*u - 559*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - 0) + (-7)\/((-28)\/48). Solve -10*w = -12*w - l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303676 is divided by 164.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*1*-2. Let h be -1*(-11)\/(-1) - q. Let t be h*1\/(-1 + -2). Let o(d) = -d - 1. Give o(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2. Let h(p) = p**3 - 16*p**2 + 13*p - 18. Let n(f) = -h(f) + 3*o(f). Let m be n(12). Put -3, 3, m, 2 in decreasing order.\nAnswer: m, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q\/q**(-3\/4))\/q))*q)\/(q*(q\/q**6)\/q)*(q*q**(1\/2))\/(q\/(q*q\/q**(-2)*q*q)) assuming q is positive.\nAnswer: q**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d = 6. Suppose -5*l + 10 = -0. Suppose -c + 7 = 5*h + d, -4*h + l*c = -4. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 20*y + 21. Let j be l(10). Suppose 5*d = 3*s + 745, 3*d - 5*s = 4*d - j. What are the prime factors of d?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*n + 45 = 0. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011101011101 (base 2) in base 9?\nAnswer: 21387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -334, -500, -666, -832?\nAnswer: -998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkf when three letters picked without replacement from {k: 1, c: 1, w: 1, f: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16 and 14942122393449.\nAnswer: 14942122393465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/2 - 37047*w\/2 - 27132119 = 0 for w.\nAnswer: -1411, 38458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 7*s**2 - 10*s - 18. What is a(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408934 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**3 + 673*n**2 + 7874*n - 84. What is g(-11)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001299 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/(14\/(-14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) -0.5 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 100, -5, -4, 3943 in descending order.\nAnswer: 3943, 100, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2305, 3, 121, 6, -2.\nAnswer: -2305, -2, 3, 6, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/4 + 11\/12. Let w = -0.015 + 8.815. Let r = w - 8.3. What is the second smallest value in r, -0.2, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 2\/3*w**3 + 0 + 7\/24*w**4 + 0*w - w**2. What is the first derivative of q(d) wrt d?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c + 4*p + 3949 = 0, c = -5*p + 1310. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(2448)*2 - sqrt(2448))**2.\nAnswer: 61201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -28. What is the remainder when 6 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97180 is divided by 619.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.6012 - 0.11?\nAnswer: 39.4912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + y. Let g(t) = -3*t**2 + 42*t + 22. Let k(l) = -5*a(l) + g(l). Let z be k(-17). Is z smaller than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34*1 + 5\/(-5)*-2. Let j = r + -25. Factor k**3 - 8*k - 16*k**2 - 2*k**3 + j*k**3 + 0*k.\nAnswer: 2*k*(k - 2)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9759.1 times -6\nAnswer: -58554.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 51*l**3 + 93633*l**2 + 42973416*l - 2528172 = 0. What is l?\nAnswer: -918, 1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 13*a. Let g = -48 - -65. Let b be i(g). Suppose 3*r - 197 - b = z, -4*z + 163 = r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -6*w**5\/19 + 22*w**4\/19 - 6*w**3\/19 - 22*w**2\/19 + 12*w\/19 = 0.\nAnswer: -1, 0, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a century in months?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a + 20. Let b be w(-14). Suppose b - 305 = -r. Is 19 a factor of -1*r\/(-10)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 43. Let c = o + -14. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 0*y + 15*y in the form z + i*y and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001041 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*i - 714 = -4128, 5*q - 5*i = 8585. Calculate the least common multiple of 3 and q.\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 15 + -6 + (-12 - -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 7*f**2 + 3*f + 6. Determine l(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20664 and 141?\nAnswer: 971208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34.54 - -34. Let h = -0.44 - s. Which is the closest to 1\/2? (a) -2 (b) 2\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 1, y: 3}. Give prob of picking 1 j and 1 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45211, 90548, 135885, 181222, 226559, 271896?\nAnswer: 317233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(-s + 41*s + 39*s) + (3 + 1 - 2)*(2*s + 0*s - s) to c*s + t and give c.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -2*o**7\/21 - 4*o**6\/15 + 3*o**5\/5 + 4*o**4\/3 - 8*o**3\/3 + 16*o. Find i such that w(i) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46\/51 + -4\/17. Suppose 6*w = w - 5. Which is the nearest to w? (a) k (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*s - 54*s**4 - 47*s**4 + 14*s + (4*s**2 - 5*s**2 + 3*s**2)*(2*s**2 - 2*s**2 + s**2).\nAnswer: -99*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*l - 122 = -36*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 3*r**2 - r + 2. Let g be k(-2). Let a be 6 - (2 + 0*(-5)\/40). Let h = -76 + 79. Solve g = -3*t - 4*w + 25, -a*t - h*w = -5*w - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 20*b - 61. Let v(g) = 2*g**2 + 21*g + 60. Let w(h) = -3*d(h) - 2*v(h). Determine w(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26.9 - -29. Let n = c - -0.9. Let x = 0 - 0. What is the smallest value in x, n, 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -862, -1, -8, 4, 5 in ascending order.\nAnswer: -862, -8, -4, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/(-8)*(-5)\/(-1).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:31 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 32 + 17 = -14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12120201110021 (base 3) in base 6?\nAnswer: 143330224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51202 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56523 and 4620.\nAnswer: 87045420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1282 and -27\/2?\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.52 and -7.\nAnswer: -8.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -429*t**3 - 2*t**2 + 2. Let q be n(-2). Let b = -1649 + q. Suppose -b = -4*z + s - 2*s, -5*s - 460 = -z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 15. Let x(f) = -2*f - 9. Let i be x(n). Suppose -7 - i = -m + 4*u, m = -u. Solve 1 - m = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11647319 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1222440 - 1?\nAnswer: 1222435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.6393612 * 3\nAnswer: -1.9180836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -589*l + 378*l + 347*l + 2*l + 0*l - 3*l + 0*l - 6*l + 4*l + (2*l - 4*l + l)*(2 - 2 - 1) - 3 + 3 - l - 2 + 2*l + 2 to o*l + t and give o.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2744198 to the nearest integer?\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -676 = -15*j - 16. Solve j = 2*d - 5*r + 29, -4*d + 17 = 3*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*f - 4*i + 29, -2 = 4*f - 2*i. Suppose -f*y + 0*y = -42. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e - 10?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2\/3 - 2735*h\/3 - 23478 = 0?\nAnswer: -2709, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2166*d**3 - 1093*d**3 + 17*d**2 - 1079*d**3.\nAnswer: -6*d**3 + 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -422696*u**4 - 445*u**3 + 1419296839*u wrt u.\nAnswer: -5072352*u**2 - 2670*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2536.096 rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -91\/1572?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 531, 1049, 1593, 2163, 2759, 3381, 4029?\nAnswer: 4703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 - 12*g - 27. Let o = -243 - -239. Calculate the remainder when v(o) is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93671 is divided by 119.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-44)\/(-20) + -2)\/((-30)\/237) and 29\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83675 rounded to the nearest one hundred?\nAnswer: -83700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 11:56 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16453 divided by 16453?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1976 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phhiplhiihipip. Give prob of picking 1 h and 1 p.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593396879.\nAnswer: 277, 2142227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/((0 + -1)\/(-1)). Suppose 5*s = -u + g, 2*s - u - 7 = -2*u. Let z(j) = 14*j - 18. Is z(s) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-9) + (3 - (-579)\/(-189)). Sort 0.4, -18, q.\nAnswer: -18, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/4 + 40401*w**2\/4 - 950577*w\/2 - 990976 = 0 for w.\nAnswer: -40448, -2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 225*t + 226*t - 59 = 0, 5*v + 5*t - 55 = 0. Calculate the least common multiple of v and 38.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 117, 709, 2261, 5253, 10165, 17477?\n\"Answer: 80*l**3 + 32*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 13*w - 42. Give m(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*b + 6, -2*b - 5*o - 7 = -2. Suppose -3*n + 4 = n - 2*k, -5*n + b*k = -10. Suppose n*r + r = 257. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598797389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svsvvs. What is prob of sequence ss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.61001152811 minus -0.31?\nAnswer: -31.30001152811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.8 to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3109450 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97277*l**3 - 28759*l**2 - 2?\nAnswer: 583662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -109*h**4\/6 + 15*h. Let q(s) = 4*s. Calculate y(q(b)).\nAnswer: -3488*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -17295 (c) 2 (d) -0.57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3517 + 3517 + 5*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**2 - 150787296*b - 1421050539686976 = 0.\nAnswer: -18848412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -302*w**2 - 5135*w - 61. Determine g(-17).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -47 - 32 - (-3 - 43)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4, -2, 4, -669?\nAnswer: -669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 1 - 1 + 1 - 16 + 6. Let y = -4 - -7. Let a = y + 5. Give z(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 204 + -3?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 8*f**2 - 11*f + 8. Suppose 0 = 3*c - 12*y + 13*y + 19, -20 = 4*c - 4*y. Let s be g(c). Put s, -325, -4 in descending order.\nAnswer: s, -4, -325","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 - -97. Calculate the smallest common multiple of 6 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 231\/2 + -116. What is the biggest value in 0.2, x, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -18370, -46 in decreasing order.\nAnswer: 3, -3, -46, -18370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6901 and 60201404379?\nAnswer: 60201397478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -5, 5, 117 in ascending order.\nAnswer: -5, -2, 3, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8fe545 (base 16) in base 2?\nAnswer: 100011111110010101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32181?\nAnswer: 3, 17, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 3 + 21 - 11*u + (-2 + 1 + 0)*(4*u - 4*u + u) to the form s + a*u and give s.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 26 - (0 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 14*b**2 + b + 16. Let t be o(-14). Suppose 0 = 3*n + 2*i - 15, -t*n + 0*n + 5*i = -10. Solve 9 = -n*u - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.8 * 61\nAnswer: 963.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 30*x + 1. Let i be n(1). Suppose -2*o + 5*h = -8, 4*o - i - 1 = 2*h. What are the prime factors of o\/1 + (2 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**2 + a**2)*(-6*a**3 + 3*a**3 + 2*a**3) - 3*a**5 + 2*a**5 + 2*a**5 + (2*a - 2*a**4 - 2*a)*(-3*a + 0*a + 2*a) - a**5 - a**4 + a**4.\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 7:57 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 5*s)*(-4*s + s + 2*s) + (3 - 3 + 2)*(-7*s**2 - 6*s**2 + 2*s**2) + (-s - 3*s + 6*s)*((-s + 2*s + s)*(4 - 3 + 0) + 1 - s - 1 + 5*s - 2*s - s).\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11809 + -11812. Put -6, t, -1, -37 in descending order.\nAnswer: -1, t, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 1, i: 1, e: 1, t: 1}. Give prob of sequence ti.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (0 - -1) + -9 + -42 + -2?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 18*w**5 - 810*w**4 - 72902*w**3 + 90*w**2 + 8100*w = 0?\nAnswer: -45, -1\/3, 0, 1\/3, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**5 - 72333*h**2 - 4*h + 9371 wrt h.\nAnswer: -40*h**3 - 144666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 14.66, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 25. Suppose 0*j = -2*j + c. Suppose j*g = 3*k - 192, 0*k + 2*k - g - 124 = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**4\/6 - 24*l. Let b(g) = -7*g + 22. Calculate b(p(i)).\nAnswer: -14*i**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 + -97. Solve f - 10 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -6*f**5 + 32*f - 33*f - 33 + 32*f. What is the first derivative of h(v) wrt v?\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 16. Let j be p(12). Let m(l) = -26 - 30*l - j - 122*l - 10*l. Let x be m(-5). What is x rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -11*v + 47. Let q be z(12). Let r = q + 104. What is the highest common divisor of r and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199616 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 853207.7 kilometers in centimeters?\nAnswer: 85320770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9869 + 0.5869. Which is the nearest to 1? (a) -0.6 (b) t (c) -5 (d) 15\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a factor of 26790483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*r - 0*y - 3, 0 = 4*r - 4*y - 20. Let w(v) = -v**3 - v**r + 2*v**2 + 124*v - 123*v - 7. Calculate w(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-14)\/o*o))\/(o**(-22)*o))**26 assuming o is positive.\nAnswer: o**936","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2*d = -20, s - 4*d = 4*s - 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 7 - 2)*7\/98. Sort 3\/5, r, 3\/55.\nAnswer: 3\/55, r, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*d**4 + 9281*d**3 + 58*d**2 - d - 58655526.\nAnswer: -84*d**2 + 55686*d + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 12. Suppose -4*m - x = -229, -m + 16 = 3*x - 44. Let y be 6\/(-4)*266\/m. Let l be p(y). Solve 5 = l*q - 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356879582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*d + x + 14, 4475 - 4452 = 3*d - 5*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.2. Let s = -0.14 - -1.94. Let j = s + n. What is the closest to j in 5, 1\/7, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (8 - 1 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.24 - 3.84. Let o = 3.2 + p. Let l = -0.4 + -0.1. Which is the closest to 1\/4? (a) -5 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -418 + 417. Let d(x) = -3*x - 1. Let l be d(-2). Which is the closest to -1? (a) h (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Suppose g*y - 125 = -3*y. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/8)\/(5 - 724\/144). Let w = 48 - q. Let r(k) = 2*k**2 - 12. Let f be r(w). Calculate the highest common factor of f and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 = -5*t - 3*u, -20*t - 3*u + 5291 = 2*u + 4691 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2107638172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 10\/(10\/(-59640)*-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {e: 4, h: 1, w: 2, a: 2, i: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = 12*p + 375. Calculate the remainder when 129 is divided by (-4 - -1)\/(9\/p).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(8\/7)\/(i*i**(-32)*i*i))\/(i**(-2\/11)*i)**20)**(-22) assuming i is positive.\nAnswer: i**(-2122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1844 - 1844. Let d = 17 + -12. What is the nearest to q in -3, d, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = 7. Let r be 10*(2 - -1)\/n. Suppose 3*a - 8*a = 2*y + 8, 2*a = -r*y + 22. Calculate the greatest common factor of 4 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, -6, -50, -142, -300, -542?\n\"Answer: -3*i**3 + 3*i**2 - 2*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6345614 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -658 (base 10) in base 12?\nAnswer: -46a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3 - 37. Suppose b = 4*t, -h - 4*t = h - 14. Suppose 2*v = -h*a + 309, 0*a = -3*a - 3. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 10568, 113, -3 in increasing order.\nAnswer: -24, -3, 113, 10568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/3)\/((-6)\/90). Let a be -1 + 1 + (-40)\/z. Suppose -92 = -2*u + a. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 467.6 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -60, 52, 5, -1 in descending order.\nAnswer: 52, 5, 0, -1, -2, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 34*i**2 + 6*i + 7. Let j be w(-2). Let d = j + -148. Let f = d + 195. What are the prime factors of f?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 0*k + 3\/20*k**4 - 1\/10*k**6 + 0*k**2 - 26 - 3\/25*k**5 + 1\/5*k**3. Factor x(f).\nAnswer: -3*f**2*(f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -190 + 198. Suppose -h*d + 521 = -1279. Is d a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69180.\nAnswer: 2, 3, 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 - 768. Let o = -3288\/5 - p. Is o at most 32\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3938516649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/11 - 192326*q\/11 - 384644\/11 = 0.\nAnswer: -96161, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.113613.\nAnswer: -0.0113613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdd when three letters picked without replacement from hldd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020872971 rounded to 5 decimal places?\nAnswer: -0.02087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17300 or 0?\nAnswer: 17300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.7 + -1.7. Let q be (-4)\/30 + (-3880)\/(-30225). Let d = -60\/403 + q. Which is the closest to y? (a) d (b) -3\/4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 14*q + 8. Let d(u) = 3*u**2 + 43*u + 25. Calculate 6*d(z) - 19*i(z).\nAnswer: -z**2 - 8*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 41706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-462 + 24*v**2 + 462)*(0*v + 0 + 4 + 4*v).\nAnswer: 96*v**3 + 96*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 2*d**2 + 3*d - 2. Let a be h(2). Suppose 4 = 2*s, a*k = 4*s - 3 + 35. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -10*s**3 - 2*s**2 + s. Let c be k(1). Let f = -1 - c. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**3 - 261*y**2 - 404*y + 44. Determine b(45).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4490398943 to three dps.\nAnswer: -0.449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 79 = -q, -3*w = 2*q - 7*q - 507. Let k = q - -101. Suppose 0 = 5*x - x + 8, -3*x - 8 = -k*d. Solve d = o + 3*c - 1, -3*o - 4 = 4*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awp when three letters picked without replacement from aaawwaafwffwfpfaw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2\/7 (c) -5 (d) -9592 (e) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1098*y - 64786. Let o be z(-59). Suppose -d = 0, 0*t - 2*t - 3*d = -4. Which is bigger: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3241.27 to the nearest 10.\nAnswer: -3240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*o - 221 + 109 + 108)*(31 - 65 + 28)*(-1 - 2 + 5) to the form m + z*o and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 - 0.16. What is the closest to -2 in n, 0.3, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77237642 and 996.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = c. Let f = 5 + c. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -2*a**3 - 2*a + 621. Let v(b) = -10*b. Let y(p) = 9*p. Let h(o) = 4*v(o) + 5*y(o). What is h(c(r))?\nAnswer: -60*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 248380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 216\/135*((-51)\/(-36) - 1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52701850.\nAnswer: 2, 5, 139, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40140536 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 7 = -1. Let g(w) = 33*w**2 - w. Let l be g(x). Suppose 0 = 4*y - l + 80. What is the highest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156711969, -156711967, -156711965, -156711963, -156711961?\nAnswer: -156711959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - k**4 + 1)*(3 - 6 + 1 + k) - k**5 - 4*k + 4*k.\nAnswer: -2*k**5 + 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7459\/6 - 1219. Find the common denominator of x and -49\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 945.9203 decades?\nAnswer: 9459.203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 14392.664 to 0 dps.\nAnswer: 14393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 9 = 0, -3*x + 4*w + 16 = -5*x. Let t be 6\/3 - x\/2. Let k = -116 - -116. Which is the closest to k? (a) 0 (b) -1\/6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105 - -73. Let j = 12 - c. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 252 = 13*q. Let w = q + -41. Calculate the smallest common multiple of 20 and w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38130 rounded to the nearest one thousand?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39931\/24 + -1660. Find the common denominator of u and ((-2882)\/352)\/(9\/(-6)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five halves of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*g + 23 - 163, r + g = 28. Suppose -r = 5*m - 53. Suppose m*t - t = -10720. What is t rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3 = 9. Suppose -5*p = -a*p - 55. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 252, 0, 4, 6 in increasing order.\nAnswer: -28, 0, 4, 6, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3026 (base 7) to base 9\nAnswer: -1385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 + 6*z**2 - 3. Let g(h) = 7*h**3 - 13*h**2 + 7. Let c be (-3)\/1 - (3 - 10). Calculate c*g(w) + 9*l(w).\nAnswer: w**3 + 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118629*q**2 - 50027 wrt q.\nAnswer: -237258*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12129512*l*s**4 + 732562*l*s**2 - 3*s**2 wrt s?\nAnswer: 291108288*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**2 + 6*b - 34400. Let t(l) = -l + 1. Let y(h) = 4*h - 13. Let n(k) = -6*t(k) - y(k). Determine 4*g(m) - 3*n(m).\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 4899350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-29 - -12) - (6 + -3 + -44).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -1\/10*j**5 + 2\/3*j**3 + 7*j + 1\/6*j**4 + 0*j**2 + 5. Suppose m(s) = 0. Calculate s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 3 + (-66)\/14. Suppose -5*a - 14 = -4*g - 3*a, 4*a + 12 = 4*g. Suppose 0*m = g*m. Is m bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0 + 0*s**3 + 0*s + 0*s**4 - 3*s**2 + 1\/60*s**6 - 1\/60*s**5. What is the third derivative of p(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 + 2280*v + 1985733\/5.\nAnswer: 3*(v + 183)*(v + 3617)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59727841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 22 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehheehhhhhheeeeehee. Give prob of sequence he.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -302, 75, 0 in increasing order.\nAnswer: -302, 0, 28, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14986 - -179705\/12. Suppose -34 - 14 = -8*u. What is the common denominator of z and (-5)\/(-90)*u*(-75)\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5680362 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-11)*(-5)\/(20\/(-82))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40813507298\/9035 - -4517267. Let k = r + -5\/139. Let b = k - 124\/195. What is the second smallest value in 5, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*s = 3, 8*w - 402*s + 795*s = 396*s + 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g - 20*g + 9*g + 3*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/2 (b) 0.3 (c) -1\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q - 50268 = 14*q. What is the highest common divisor of 71 and q?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42977 and 20?\nAnswer: -859540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = q. Let j(a) = 2*a - 5. What is j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36340590 rounded to the nearest ten thousand?\nAnswer: -36340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0715 + 0.071496016. Round k to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -12*v + 30. Let r(s) be the first derivative of 0*s - 2\/3*s**3 + 1\/2*s**v + 0*s**2 - 1\/3*s**6 + 4 + 2\/5*s**5. Let r(t) = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719112 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5179897 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 9:24 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 12.4, -103, -13 in ascending order.\nAnswer: -103, -13, -6, 12.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2 - 17*t + 93. What are the prime factors of y(15)?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/18 - (-548)\/36. Let y be x + 1 + (-2 - -3). Is 10 a factor of y - 3\/(1 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*v - 24631, 47*v - 7*w - 16415 = 45*v. What is the remainder when v is divided by 191?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5525114?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -2 + (-73 - -87)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 259022*x**5*z - 534830*x*z wrt x?\nAnswer: 5180440*x**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*f = -3*c + 67, 0 = -2*c - f + 141. What is the greatest common divisor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-0.0855624784961\nAnswer: -0.3855624784961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times -0.11?\nAnswer: 2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*z - 6*z + 16, -5*q - z + 4 = 0. Let m be (-2 - 8\/(-4)) + q. Let g be 1\/1*(2 - -3). Sort -2, m, -4, g in decreasing order.\nAnswer: g, m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/2*66\/55. What is the greatest common divisor of s and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, i: 1, q: 12, e: 2, y: 1}. What is prob of sequence ied?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z**3 + 3*z**2 + 2*z - 4. Let y be g(-2). Suppose y - 7 = -o. Let m = o - -79. What is the smallest common multiple of m and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11493526?\nAnswer: 2, 11, 593, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 6) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15743 (base 9) to base 2\nAnswer: 10101000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 - 7*z**2 - 46*z + 6*z**2 - 9*z + 3*z**2 - 2 - 2*z**3 to the form p + x*z**3 + y*z**2 + s*z and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 25 = -5*o, 3*g - 24 + 6 = -4*o. Let w(n) be the third derivative of 5*n**4\/4 - n**3\/6 - n**2. Is w(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 + 3.09. Sort -2\/7, -0.3, m in increasing order.\nAnswer: -0.3, -2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 16) to base 9\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10532 - 10373. What is the greatest common divisor of 1696 and k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**3*s)\/s**(3\/11) assuming s is positive.\nAnswer: s**(52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 393 + -393. Is n at least as big as -1\/5028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogg when three letters picked without replacement from aaogaga.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 55*u - 248. Let x be i(5). Let p be (-3)\/(x\/(-6))*207\/(-322). Which is the biggest value? (a) -3\/8 (b) -3\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.5 (c) -0.4 (d) 284712 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 + 9*q**2 + 4 + 10*q**2 - 21*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 12.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 536064 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -53*t - 3. Let z be d(-1). Calculate the greatest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 5*m - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3838.\nAnswer: 2, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4249251.\nAnswer: 3, 472139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 666 + -935. Let m = f + 271. Let r = 44\/5 - 42\/5. Sort r, -0.5, m, 5\/6 in ascending order.\nAnswer: -0.5, r, 5\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 12 = -0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k - 10*k - 5*k - 6*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 7*k**2 + 8*k. Let f(c) = -c**3 - 6*c**2 + 2*c + 4. Let q be f(-6). Let t be n(q). Suppose t = d + 4*d - 445. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 5*i + 3*i**3 - 10*i**2 + 8*i - 45 - 2*i**3 - 5*i. Let p be v(11). Which is greater: 68 or p?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((5*sqrt(35) - sqrt(35))\/sqrt(5) - (sqrt(42)\/sqrt(6) + -3)))*-3.\nAnswer: -9*sqrt(7) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 105 (c) 3 (d) 0.4 (e) -3 (f) -195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*59\/(-2065)*(-14)\/32?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8358, 1, 4, 3, 9 in decreasing order.\nAnswer: 9, 4, 3, 1, -8358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 5*b - 2. Let j be s(5). Is 17 a factor of (-2 + 0)*39\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 1285*h**3 + 896 - 898 - 1308*h**3 + 3*h**2 as x*h + d + q*h**2 + a*h**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.71, -0.1, 294\/83 in descending order.\nAnswer: 294\/83, 0.71, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, r: 1}. What is prob of sequence rmm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1558 divide 1923838654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 5*w**2 + 5*w + 78. Give c(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33 + 19*t - 33 + (-6*t + 4*t + 0*t)*(0 + 2 + 0 + 1 + 3 - 6 + (2 - 1 - 3)*(4 - 1 - 1) - 2 - 3 + 3 + 2 + 3 - 4 - 4 + 2 + 0).\nAnswer: 33*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1761 - 1707. Solve -n*g = -48 - 60 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2013811?\nAnswer: 23, 87557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o + 2*o + 5*o to the form n + j*o and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/17*-17*6\/(-2))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2509 (base 12) in base 6?\nAnswer: -31213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 3. Let m be f(6). Let i = 6 - 41. Let n be 14\/(-77) - i\/11. Solve -m + n = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, -1\/2005, 4.5.\nAnswer: -0.1, -1\/2005, 3, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*p - 2*m, -113*p - 5*m + 8 = -111*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 43 = -5*u, 3*u + 12 = 3*z - 30. What is the smallest common multiple of z and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 8*s**2 - 8*s - 4. Suppose 2*w + 3*w = 30. List the prime factors of j(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69106775378 take away 478?\nAnswer: -477.30893224622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3731987208.\nAnswer: 2, 3, 155499467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.35, -87, -8 in descending order.\nAnswer: 0.35, -8, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16691559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*h**3 + 138*h**2 + 640 + 2\/3*h**4 - 1504\/3*h.\nAnswer: 2*(h - 8)**2*(h - 5)*(h - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65072 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-3)*(-41)\/(4009390\/132))\/((-24)\/(-84)).\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1933*g + 11620. Let m be w(6). Let q = 3.9 - 4. Which is the closest to q? (a) -5 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, d: 3}. Give prob of picking 2 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8983 - -10050. Calculate the greatest common factor of 679 and u.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -98, -377, -842, -1493, -2330, -3353?\n\"Answer: -93*m**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5 + 2\/((-1440)\/(-2264)) and 73\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*a - 2 = 148*a. What is the common denominator of (0 + 1 + a)*1520\/1152 and 79\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 - 113. Suppose 2*q - 2 = 2*o, c*o - 3*q + 13 = 5*o. Solve -3*z - 4 = o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 13540914 = -83*s - 3058834. What is s rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*m + 254 = 0, -35*m = -36*m + 5. Let n = 74 - 42. Calculate the remainder when s is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47.4003 times -10\nAnswer: 474.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 925.53 to zero decimal places.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 1906*g**2 - 3819*g + 5724.\nAnswer: (g - 1908)*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 3*z = -21*n - 192, 0 = 2*n - 2*z + 80. What are the prime factors of (-46982)\/n + (-3)\/(-9)?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(208))**2 - ((2*sqrt(13) - sqrt(13)) + -5 - sqrt(13)).\nAnswer: -16*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = 27*s - 502 - 236 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**6\/120 - 7*h**5\/60 - 3*h**4\/8 + 2*h**3 - h**2\/2 + h. Let r(a) be the first derivative of l(a). Does 4 divide r(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.059 - -3.059. Let z = -1.064 + 0.064. Let g = 0.14 + -0.04. Which is the nearest to g? (a) z (b) k (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1935 + -1927. Put 6, 1, a in decreasing order.\nAnswer: a, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2 - 2. Suppose -99 = -5*m + g - 2*g, 2*g = c*m - 42. Suppose z + m = 6*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 131089, 130908, 130727, 130546, 130365, 130184?\n\"Answer: -181*j + 131270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v**2. Let y(d) = -1 + 1 - 1929*d + 1920*d. Calculate i(y(s)).\nAnswer: -486*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 16915504 to the nearest one hundred thousand.\nAnswer: 16900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**5 - 660*y**4 - 52284*y**3 - 1758240*y**2 - 21290688*y = 0.\nAnswer: -74, -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 285484*a\/5 - 10187639282\/5.\nAnswer: -2*(a + 71371)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60405616829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 460053.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 2\/341, -4\/17 in increasing order.\nAnswer: -1\/3, -4\/17, 2\/341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12874 and 31714.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 15 - 28*f**3 + 3*f - 15*f + 29*f**3 + 12*f**2. Let q be t(-13). Suppose -q*k + 5 = 1, m - k + 1 = 0. Solve -m = 3*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.43 + -0.07. Let d be (-2)\/(-4) - 27\/78. Which is the nearest to -2\/5? (a) m (b) -2\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4942*p + 2446*p + 2430*p + 63*p**3 - 5*p**2 + 1 - 59*p**3 in the form h*p**3 + v*p**2 + y + m*p and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 84\/8*8\/6. Suppose g + 4*g = -q + 8, 3*g = 4*q + b. Solve 5*w - 5 = 5*y, g*w = 2*y - 7*y + 30 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*z - 29, -2*c + 28 = 2*c + 4*z. Let p be (160\/(-12))\/c*(-3)\/14. Sort p, -1, 3\/4, 4 in increasing order.\nAnswer: -1, p, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4) + (-2 - 14) + (-2 - -31 - 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(4*2\/24). Suppose 4*o - 5*m = -67, -o + 0*o = y*m + 4. Let p be 65\/o - 0\/(-1). Put p, -3, -2 in descending order.\nAnswer: -2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m - 10 - 17*m**2 + 0*m**3 + 12*m**2 + m**3. Let z be q(5). Factor -z + 2*w**2 - 4*w + 6*w + 1.\nAnswer: 2*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23211 - 233?\nAnswer: 22312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-112)\/(-12))*2\/6.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 717 divided by -52172\nAnswer: -717\/52172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -85*w + 6. Let k(h) = 85*h - 8. Calculate -3*j(m) - 2*k(m).\nAnswer: 85*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8352 + 12933. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(242)*-3 - (sqrt(150)\/sqrt(3) + sqrt(800)).\nAnswer: 107*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 256 - 253. Solve h = j + 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23393?\nAnswer: 149, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 423821056 - -4.739.\nAnswer: 423821060.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001029 to seven decimal places.\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2896866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 219 - 212. Solve -j*m = -5*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**3\/3 + 9*v**2\/2 + 19*v - 680. Calculate p(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-2 - -4) + 1. Suppose c + 4*c = a - 367, 3*c + 1502 = i*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 3*w - 1. Let s be t(-6). Let f = 20 - s. Suppose 2*c - 65 = -f*c. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6624937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -19, -31, -31, -13, 29?\n\"Answer: k**3 - 3*k**2 - 16*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 50037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 3. Let m be w(-3). Solve m = -5*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whk when three letters picked without replacement from kohpwgopkgkp.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17\/(-51)*(-12 + 0). Let q = 5.0292 + -0.0292. Which is the third biggest value? (a) m (b) q (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186 - -188. Solve 0 = -5*b + i - 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*g - 972*g + 370*g + 242*g + 11*g**2.\nAnswer: 11*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g**2 + 1152*g + 231 = 0.\nAnswer: -1\/5, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1902, -59, 0.03 in increasing order.\nAnswer: -59, 0.03, 1902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 11\/2*f**2 - 60 + 0*f. Let r(p) = -4*p. Determine r(z(s)).\nAnswer: -44*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 + -59. Let i = q - 28. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 445787051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < -24877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -11, 2, 16, -3972 in ascending order.\nAnswer: -3972, -11, -0.3, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/7*(315\/(-30))\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -172, 0.4, 2\/89 in descending order.\nAnswer: 0.4, 2\/89, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 6*h**2 - 10*h + 56. Let v be s(6). Let k(b) = -b**3 - 5*b**2 + 3. Calculate k(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -282*i - 261 + 532 - 273 + (0*i + 0*i + 2*i)*(4 + 2 - 4) + 5*i + 0*i - 4*i - 2 - 2*i + 2 + 0*i + 2*i - i + (2 + 0 - 3)*(-i - 1 + 1).\nAnswer: -277*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.011 * 1\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -216374 (base 9) in base 6?\nAnswer: -2434451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*a**4 + 11*a**4 - 106*a**4 + (-3*a**3 - a**3 + 6*a**3)*(a - a - 2*a))*(4*a + 5*a - a).\nAnswer: -1056*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 10*t - 42. Solve -2*s + 15 = -t*s + 4*z, -5*s + z = -1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -39*w**3 - 3*w + 8. Let q(b) = 13*b**3 + b - 3. Determine -4*n(g) - 11*q(g).\nAnswer: 13*g**3 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*v - 2*i - 1, 2*i = -4*v - 10. Let p(x) = x**2 + 19*x - 15. Calculate the least common multiple of ((-60)\/(-6) - 2) + v and p(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/892 and 55\/12.\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*13\/((-1092)\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -3909533.\nAnswer: 390953.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m. Let y(n) = -5*n**2 - 4*n. Give y(j(l)).\nAnswer: -45*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2456103 (base 7) in base 4?\nAnswer: -1031103201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((840\/(-63))\/2)\/(56\/(-42))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**5\/5 + 22*m**3\/3 - 18. What is the third derivative of y(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16395 - 62.16395. Which is smaller: -0.35 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 7:34 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/8163 and -2\/579.\nAnswer: 1575459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5 - 230*g**4 + 27516*g**3 + 2043716*g**2 - 134352250*g + 132281250 = 0.\nAnswer: -125, 1, 51, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*l - 12719, 0 = 2*l + 12*w - 7*w - 8481. What are the prime factors of l?\nAnswer: 2, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/19 + 148*v\/19 - 150\/19.\nAnswer: 2*(v - 1)*(v + 75)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26540 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*w + l + l, -w + 9 = 2*l. Suppose g = -g - d + 361, 4*g - 717 = w*d. What is the greatest common divisor of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 + 18. Calculate s(-5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - s - 6*s**2 + 4*s**2.\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*n + 563, n - 181 = -5*x + 2*x. Let u = -733\/4 + n. What is the common denominator of 114\/8 + 0 + -1 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -20*m**2 - 44*m - 18. Let a(g) = -19*g**2 - 55*g - 23. Let z(v) = -4*a(v) + 5*i(v). Let j(n) = 168*n**2 - 15. What is -4*j(q) - 30*z(q)?\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(180) + -1 + sqrt(180))*-3 + -5 + 3 + (sqrt(180) + 2*sqrt(180) + -2 - sqrt(180)) + -1)**2.\nAnswer: 96*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Round 696119.6 to the nearest 1000.\nAnswer: 696000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 150295 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.9, 33, -5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3114 and 212098.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q**2 - 41*q + 6. Let b be c(4). Solve -2*z - 18 = -0*x - b*x, 5*x = -3*z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -234.\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*l + 27, -2*w + 2 + 1 = l. What is the second derivative of 5*j**5 - 22*j**5 - 10*j - l*j wrt j?\nAnswer: -340*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 20 - (-6 + 5). Suppose -4*v + 68 = 28. Let i be -2 + 0 + (v - 5). Solve -5*m - i = n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 7*u**4\/26 + 62*u**3\/39 + 40*u**2\/13 + 24*u\/13 + 480. Find y such that o(y) = 0.\nAnswer: -2, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 16 = p. Let w = 6 - -2. What is the second smallest value in p, -1\/7, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m - 17. Let p(c) = c + 13. Let r(i) = d(i) + 2*p(i). Let q(b) = -3*b + 6. Calculate -8*q(g) + 5*r(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33577, 67061, 100461, 133777, 167009?\n\"Answer: -42*h**2 + 33610*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149\/3 + -49. Which is the closest to 1? (a) v (b) -0.1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*d - 1. Let j be 2\/(d + 1) + 1922\/31. Suppose -16*v = -15*v - j. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636186409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**3 + 2. Let f(g) = 0*g + 2*g - 2*g + 3*g**2. Calculate f(d(o)).\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**3 + 0*a**3 - a**3)*(-3 + 11 - 60 - a**2).\nAnswer: 6*a**5 + 312*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 21. What is the remainder when 29 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -81 (b) 5 (c) 1\/6 (d) -10 (e) -4.63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -172 (c) 191 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*b - 8, 0 = -5*f + b + 25. Suppose -2*p + f = v + v, 2 = -2*v - 5*p. Let n(z) = -7*z - 2*z**2 - v*z + 11*z. Let h(w) = -5*w. Give h(n(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4) - 2)*(6 - 6). Suppose -17*f + 21*f - 20 = k. Let d be (-1)\/(-3)*16 - f\/15. Solve -d = -2*a - b + 4, -20 = -5*a - 5*b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 2*u**5\/5 - 13*u**3\/3 - 73*u**2\/2 - 49. What is the second derivative of g(q) wrt q?\nAnswer: 24*q**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42192, 41961, 41564, 41001?\nAnswer: 40272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -4 + (1 - -8) - -2 - 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 - 8*l**2 - 2418*l - 7281. What is i(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x**(-4\/5)\/x))))**46*(x**(2\/3)*x)\/(x**2\/x) assuming x is positive.\nAnswer: x**(1942\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4*a + 9, 3429*a = 3428*a - 5*p - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 15. Is 2 a factor of i(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194.3*0.14.\nAnswer: 27.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-103 - -31) + 213 - 76.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -286*o**2 - 76683*o\/5 - 54126\/5.\nAnswer: -(11*o + 582)*(130*o + 93)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**5*v*v**(-3\/8)*v)**(-7\/5))**30 assuming v is positive.\nAnswer: v**(-1113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308696 and 692.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 + 0.01805547361592.\nAnswer: 24.01805547361592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(-1) - (-968)\/363.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 52 = 10*t + 10*t. Calculate the remainder when 893 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1614 - -1635. Let l(w) = -w + 5. Let m be l(0). Suppose 5*r - 4 - 1 = 0, -z = -m*u - r. Which is bigger: 34\/7 or u?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7279.904mg?\nAnswer: 0.000007279904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.61*271.\nAnswer: 1791.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 5*v + 2. Let u be c(5). Find the third derivative of 6*d**2 - u*d**6 + 3*d**6 + 0*d**2 - 3*d**2 wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 3*f + 2 + 4*f)*(3*f - 6*f + 4*f + (-4 - 2 + 4)*(-2*f - 3 + 3)).\nAnswer: 5*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 1, u: 1, s: 10, z: 5, t: 1}. What is prob of picking 1 o, 1 t, and 1 p?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6676, 6684, 6698, 6718?\n\"Answer: 3*d**2 - d + 6674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7546 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6840398*q**2 - 1919532*q + 1?\nAnswer: 13680796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 2477159*f**3 + 7431471*f**2 + 7431469*f + 2477156.\nAnswer: (f + 1)**3*(f + 2477156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 divided by -47?\nAnswer: 185\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -42. Let j = 0 - -9. Calculate the remainder when u is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 4*d**2 - 1. Let t(u) = -4*u**2 - 168*u - 1. Calculate -n(i) + t(i).\nAnswer: i**3 - 168*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.6259 - 12.6259. Let r be ((-2)\/4)\/((-7)\/(-4)). Let m = 2 - 0. Which is the nearest to m? (a) 0.1 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y - 3 + 1 + 19. Let z(k) = -18*k - 255. Let r be z(-14). Let a(d) = d - 6. Give r*w(q) - 8*a(q).\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 + -6 + 3 - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*x - 5336 = -203*x + 118*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24087, 24093, 24101, 24111, 24123, 24137, 24153?\n\"Answer: l**2 + 3*l + 24083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153302849 to the power of 1\/2, to the nearest integer?\nAnswer: 12382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26267180 and 6?\nAnswer: 78801540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 139*n + 742 + 228*n + 60*n + 64*n - 63*n wrt n.\nAnswer: 428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 1:21 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/18 + (-49740)\/6912 + 7 + 0 and 65\/176.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 3*z**2 + 5*z. Let h(b) = -b**3 + 3*b**2 + 4*b. Calculate 5*h(q) - 4*j(q).\nAnswer: -q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 60, 4, 0 in increasing order.\nAnswer: -2, 0, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r - r)*(13*r**2 - 112 + 56 + 2*r**3 + 55).\nAnswer: 4*r**5 + 26*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2882135?\nAnswer: 5, 576427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 812 - 819 - 6667*x + 6866*x + 1631.\nAnswer: -2*x**3 + 199*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*w - 23*w + 18. Suppose -2*k = -3*l - 24, -l + 48 = 4*k + w*l. Calculate the greatest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 653674 by -1.\nAnswer: -653674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 4:06 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 2*w**2 - 5*w - 2. Let s be j(-3). Suppose -d = -2*q - 3, 62*d = 5*q + 64*d + 3. Is 10\/(-5) + s + 864 + q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1279781?\nAnswer: 523, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-16) + (-1921)\/(-136). Suppose -r*k - k = -1785. Calculate the greatest common divisor of k and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, r: 3, v: 8, i: 2}. What is prob of sequence vis?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 1 + 45 + -60?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -2444\/5 and -490 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1750*k - 589 + 580*k + 583*k + 588*k as f + h*k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-15)\/4)\/((-32)\/6016).\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f**2 - 4*f**2 - 439 - 202 - 8*f**2 + 3*f**2 + 641.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**4\/12 - c**3\/6 + c**2\/2 + 5*c. Calculate z(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1945 is divided by 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uunuuuuuuuun. What is prob of picking 3 u?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29\/12 - 8\/3. Let r(a) = 3*a - 6. Let x be r(4). Suppose -x*y - 1 = -5*y. What is the nearest to y in b, -2\/3, 1\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 385255493 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2 - 95 - 84 + 261 - 82. Let j(g) = 2*g + 206. Give l(j(x)).\nAnswer: -16*x**2 - 3296*x - 169744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 47616.17 to the nearest 1000.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -40*c**2 + 90*c + 4. Calculate h(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/3 in -1\/20, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-1\/5))\/y**(-11))**(-4\/27) assuming y is positive.\nAnswer: y**(-256\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7 = 3. Let t(b) = -18*b + 63. Let a be t(6). Calculate the lowest common multiple of d and -10*(-18)\/a + 15 + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -207\/97 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/27)\/(9\/5*(-850)\/(-255))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 41. Let y = z + 1.53. What is y rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105083 - -105103.3. Let r = 0 + -0.1. Which is bigger: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1242 = -4*h, -2*h = -5*h + 2*l + 928. What is the tens digit of (-4)\/10 + h\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (25 - (33 - 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1437, -1488, -1571, -1686, -1833?\n\"Answer: -16*x**2 - 3*x - 1418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - 6 - 90\/(-5). Solve 3*k + b - 16 = 4*m, 4*k = 2*m + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.3 + 15.1. What is the fourth smallest value in a, -1\/3, -8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 7.9. Let f = -0.921 - 0.079. Which is the closest to n? (a) -4 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 3*g + 2. Let b be a(-3). Suppose 45 = 9*o + 43 - 25. Suppose 2*d - 3*d = 10. Sort d, b, o in ascending order.\nAnswer: d, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d*o**2*w - 2*d*o**2 - 2157*d*o - 80*d*w + 8*o**2*w wrt w.\nAnswer: -4*d*o**2 - 80*d + 8*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 793742 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.03, -0.5, -0.1, 1\/4 in increasing order.\nAnswer: -0.5, -0.1, 0.03, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 9:28 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - 24)\/(4\/(-14)). Suppose 15*p - y = 241. Calculate the remainder when p is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akeaiaaeakke. Give prob of picking 1 k and 1 e.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0.0113.\nAnswer: -4.0113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 9.3. Let c = j - 9. Let r = 80\/63 - 14\/9. What is the closest to -0.2 in -2, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2349*c - 406. Let z(a) = -58*a + 10. Let x(q) = -5*f(q) - 203*z(q). Let k = -62 - -64. Let l(u) = 2*u**k - 619 + 619. Determine l(x(p)).\nAnswer: 1682*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 5*z + 2*z + (5*z + 2*z - 5*z)*(2 - 1 + 1) to the form q + f*z and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*r**4 + 24*r**2 - 21*r**3 - 12*r**5 - 12*r**4 - 47*r**3 = 0 for r.\nAnswer: 0, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.4 + -443070825291.\nAnswer: -443070825276.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -752553 (base 9) to base 8\nAnswer: -1553073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198683891035 - 0.33.\nAnswer: 198683891034.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4864 = -4*t + 5*s, 5*t + 64*s = 68*s + 6080. Is t greater than or equal to 1213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -76. What is the second biggest value in a, 1, 4, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-9\/4)\/f**(-15)*((f*f**(-2\/3))\/f)\/f**(2\/9) assuming f is positive.\nAnswer: f**(427\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = b - 0*b. Let k(v) = v - 3. Let o be k(b). Suppose 24 = -0*z + o*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-3 + (-28)\/(-6)). Suppose 2*v + 5*z = 9, -5*v + z + 3*z + 39 = 0. Let i be 0 - -2 - v\/4. Which is the smallest value? (a) 3 (b) y (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118859 rounded to the nearest one thousand?\nAnswer: 119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myymbmmmx. What is prob of picking 1 m and 1 x?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 11123?\nAnswer: 11141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from {v: 7, i: 3}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*n + 244*n = 4*o + 37, 2*n + o = 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p - 1. Give k(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*f + 14, -5*d = -3*d + 5*f + 18. Suppose -8 = 3*n + d. Let y = 1 - n. Solve -y*h - 16 = 0, 0*z + 4*h = -z - 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 26.4. Let s = 0.17 - 6.17. Which is the second smallest value? (a) 0.3 (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 993, 0.1, -1\/3, -1\/2, -0.2989?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -383277442261365 and -1.\nAnswer: -383277442261366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23645 - 13845. Does 85 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 547*c - 228*c + 570*c in the form o + g*c and give g.\nAnswer: 889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - b + 34 = 0, 61*c - 66*c - 3*b = 18 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fijfiff. What is prob of picking 2 f and 1 j?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1*-124067.\nAnswer: -260540.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-9\/4)*j)\/((j\/j**(15\/4))\/j))\/(j*j**(-2)*j*j*j*j**(-4)*j) assuming j is positive.\nAnswer: j**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/((-2)\/(-9)). Suppose 0 = 3*r - 0 + 9. Let j = v - r. Is j at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r**4 + 2*r - 2 + 12*r**4 - 4*r + 8*r**2 + 0*r to the form o + j*r + s*r**4 + p*r**2 + m*r**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33830 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 1:33 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r = 22*r + 1114. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 1. Let r(y) = -y**2 - 9*y - 9. Let u(x) = -r(x) + 4*w(x). What is the units digit of u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1855 divided by 3\nAnswer: 1855\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75.99999855 - -76. Round d to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 14*m**2 - 23*m + 3. Let u(w) = w**3 - w - 1. Let h be u(2). Let d(z) = 4*z + 2*z + 2*z - 1 - h*z**2. Calculate -6*b(r) - 17*d(r).\nAnswer: r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -594 divided by -6.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6027 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a factor of 3516364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6404627 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40997*b**6 + 4*b**2 - 1592*b + 8 wrt b.\nAnswer: -4919640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -132, -257, -394, -549, -728, -937, -1182, -1469?\n\"Answer: -t**3 - 118*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 331133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 607987 - 2.\nAnswer: 607985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/(-4)*(-5 - 15)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e84 (base 16) in base 10?\nAnswer: -7812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.10649569 rounded to the nearest integer?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28\/39 - -18\/13. Which is the closest to 1\/3? (a) 1 (b) -0.11 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*v + 9*v - 463904 = 0. What is the thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 435 + -168?\nAnswer: 2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, d: 3}. What is prob of sequence mdmm?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 990 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m - 7*m = -132. Calculate the smallest common multiple of (6\/4)\/(3\/4) and (m - (10 + -8))*(-3)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.02 - 14.02. What is the closest to 0 in -2\/31, -2, -36, o?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 46*a - 111 - 379 = 0 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000087346827 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 12) in base 15?\nAnswer: 16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3, 0.096, -6.7, -1?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-6)\/3)\/(-1))\/(-6). Let m(i) = 4*i**2 - 39*i + 13. Let s be m(9). Which is the third smallest value? (a) s (b) -3 (c) o (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 640 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145796 is divided by 180?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -338.445 - -0.445. Let a = 70782707.236 + -70782369.23599783. Let o = a + p. What is o rounded to seven decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - a**2 + a**3 + 5*a**2 + a**3.\nAnswer: 2*a**3 + 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-648)\/(-540) - (-13)\/(-15). Let z(v) be the first derivative of -15 + 0*v - m*v**3 - 1\/4*v**2. Factor z(d).\nAnswer: -d*(2*d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 2, 14 in decreasing order.\nAnswer: 52, 14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*z - 1584. Suppose -256 - z = -6*p. Calculate the lowest common multiple of 9 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -8 - (-31 - -25).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/2254 and -89\/26726?\nAnswer: 187082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*v**4 - 123*v**3 - 418*v**2 - 228*v + 56 = 0. What is v?\nAnswer: -2, -1, 2\/11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-2)\/(-6) + 1. Let a = -345 + 361. What is the tens digit of (4\/(48\/87))\/(f\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = 13*c + 3342. Let r be (-5 + 2 - -2) + (-217)\/c. Let i be (1 - 1)*(-2)\/4. Are r and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(11) + -2 - (-2*sqrt(1584))**2.\nAnswer: -6335 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/(45\/(-9) + 6). Let b(y) be the first derivative of -i*y**2 + 2 + 0*y. Let g(d) = -d. Determine b(g(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*k - 89*k - 27748. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h + 58 = -2*i, -5*i - 109 = -2*h. What is the remainder when 1184 is divided by h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28892738 and -5?\nAnswer: 28892743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jhhhjhjjjhjh?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 120*v**4 + 6292*v**3 - 6504*v**2 - 6264*v + 6272. Let k(i) = -13*i**4 - 699*i**3 + 722*i**2 + 696*i - 697. Let z(n) = -28*k(n) - 3*u(n). Factor z(f).\nAnswer: 4*(f - 1)**2*(f + 1)*(f + 175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5904633 months in decades?\nAnswer: 0.0049205275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 663*c**2 + 26636*c - 33. Determine d(43).\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7505 greater than 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 7*s**6\/60 - 17*s**5\/60 - 17*s**3\/6 - 4*s**2. Let u(w) = -5*w**3 + 6*w**2 + 6. What is 6*k(n) + 17*u(n)?\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.23 + 0.23. Which is the third smallest value? (a) q (b) 0.3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 3*j - 39 - 29, -17 = 5*c - 2*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12031 + -12033.8549. What is k rounded to one dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 29*u**2 - 138*u + 92. Calculate s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304522 (base 9) to base 4.\nAnswer: -230010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 277 - 94. Suppose -17*q + 55 = -y. What is the greatest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4)\/(q**(-39)*q) assuming q is positive.\nAnswer: q**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/7 - (3 + (-301)\/49).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) 404 (c) 2006.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -363*r**3\/7 - 2871*r**2\/7 - 567*r + 1029.\nAnswer: -3*(r - 1)*(11*r + 49)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2688277?\nAnswer: 383, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/7 + 2138*b**2\/7.\nAnswer: -2*b**2*(b - 1069)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1228\/20 - 2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-1)*9\/(-126)*2. Let i(p) = p**2 - 19*p + 33. Let x be i(17). Let b = 4 - -1. Put x, c, b in descending order.\nAnswer: b, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 7*k - 39. What is the hundreds digit of 2150\/k + 1\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/14 and (49\/(-2) + 0)*(-8)\/(-24).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -13*x**5\/60 - 7*x**4\/12 + x**3\/3 + 54*x**2. Find the second derivative of f(h) wrt h.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 31*i**2 + 10*i - 1187. What are the prime factors of q(27)?\nAnswer: 2, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 3*x + 11*x - 8*x to the form h*x + i and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-9*(5 + 203\/(-42)))\/(42 - 109755\/2610)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*q + 2*o, -2*q + 7 - 3 = 2*o. Sort -6, 4, q in descending order.\nAnswer: 4, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1013, 4060, 9137, 16244, 25381, 36548?\n\"Answer: 1015*l**2 + 2*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 3*m + 2. Let a be c(-3). Let l = 5 - a. Are l and 3 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 8, -2, 10, -1, -94.\nAnswer: -94, -2, -1, 2, 3, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -10*r + 11*r + 2, r - 2*o - 7 = 0. What is the second biggest value in r, 0.7, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6008692816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*n**4*o + 2*n**4 - 38*n**3*o**2 - 2*n**2*o**2 + 395*n*o**2 + o**2 + 1 wrt n?\nAnswer: -1488*n*o + 48*n - 228*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*112\/42\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8940 and 8820.\nAnswer: 1314180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/24 and 187\/3900?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0421 + -33.1011. Let s = 0.059 + w. Let v = s - -29. What is the nearest to -1\/4 in v, -0.1, 7\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 16*k + 7. Let c be g(17). Suppose -x - 1 = -c. Solve 5*a = -2*l - x, 2 = -l + 3*a + 18 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*(-8)\/(-120)*20\/(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -661*c*m**3 - 61*c + 3*m**2 - 3*m wrt m?\nAnswer: -3966*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 886.2896 centimeters in nanometers?\nAnswer: 8862896000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/6 - (-1 + 2). Let m(j) = 225 + j + 5*j**3 + 4*j**2 - 2*j**3 - x*j**3 - 224. Give m(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 20*x**2 + 37*x + 16. Determine w(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3 - w - 2 - 4*w**4 + 4 in the form g*w**4 + u + k*w + d*w**2 + b*w**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*n + 4*z - 9, 5*n + 3*z - 15 = 0. Let d = -41.3 - -41. Which is the nearest to -2? (a) 2 (b) d (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**5\/20 - d**4\/2 - d**3\/6 + 2*d**2 + 60*d. Let q(w) = -2*w**2 - 4*w + 14. Let a be q(-6). Let k = 31 + a. Determine g(k).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/31871 and -79\/68295.\nAnswer: 478065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 + h + 1. Let k be y(-1). Let l be ((-14)\/k)\/(1\/(-15)). What is the highest common divisor of l and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -445, -3, -23 in decreasing order.\nAnswer: 1, -3, -23, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40, 82, 124, 166?\n\"Answer: 42*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.086 - 0.214. Let b = -10.3 - t. Put 5, 0.2, b in decreasing order.\nAnswer: 5, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91863 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 71 = 5*x, -3*x + 169 = 3*w + w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/sqrt(441))\/sqrt(6).\nAnswer: sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -428 - -395. Let p = -9 - n. What is the remainder when p is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eteteftfftte. Give prob of picking 3 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Suppose 0*s = o*s. Let i be 14 - -2*(1 + s). Calculate the greatest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103080 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (0 + -3)) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 137.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, a: 2, p: 3, s: 4}. Give prob of picking 3 p and 1 q.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-6) + 2)*(-12 + 72). Suppose 339*v + o = 344*v. Solve -6 = -v*h + 12*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-456)*(-154836)\/21505.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 53 + 10)*(-2 + 2 - b)*(5 + 2 - 5).\nAnswer: -122*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 30222, 6 in descending order.\nAnswer: 30222, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*t + 103*t = 0. Solve 0 = -3*q + 3 - t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 6*h - 9 = 3*y, -3*y - 2*h + 16 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.98*-5.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2070 and 216?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 709783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22\/8470*7*-12*5\/(-1)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03558129 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 2*d**5\/65 + 23*d**4\/26 - 4*d**3\/3 - 48*d**2\/13 - 1117. Solve i(f) = 0 for f.\nAnswer: -24, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276530?\nAnswer: 2, 5, 27653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 57230, 114491, 171786, 229133, 286550?\n\"Answer: 3*g**3 - g**2 + 57243*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 426 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = 4*w. Is 3 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173182 - -408455. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-1))\/6*(-4 + 1). Let t(y) be the third derivative of 0*y**o + 0*y**4 - 3*y**2 + 0 + 1\/20*y**5 + 0*y. Let p(a) = -a**2. What is t(p(s))?\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, b: 9, d: 1, t: 2}. Give prob of picking 2 t, 1 w, and 1 d.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378 + 378 - 756 + 7*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*p - 4, 0 = 50*p - 52*p + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(4)*-2 - (1*(sqrt(300)\/sqrt(5) - sqrt(60)) - sqrt(60)))\/((4*(sqrt(132) - sqrt(132)*-2))\/(sqrt(891)*-2)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 - 9*h**2 - 20*h**2 + (-3*h + h + 4*h)*(-3*h - 3*h + 5*h).\nAnswer: -34*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 5:20 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from symwsyysyswyymwqwsys.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18529324 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**4 + 9*n**2 - 77*n.\nAnswer: -24*n**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -251, -89, 203, 643, 1249?\n\"Answer: 3*p**3 + 47*p**2 - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 3*l - 6. What is b(-8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**3*i - 28*d**2*i - 3*d**2 - 697*i wrt d.\nAnswer: 12*d**2*i - 56*d*i - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3022450 and 6347145?\nAnswer: 63471450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -0.1129.\nAnswer: 2.8871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**3\/6 - r**2 + 3*r. Let w(k) = -9*k + 1. Let g be w(1). Let i = -6 - g. Give x(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 4*n. Let k = -3 - -6. Let q = 3.1 - k. Which is greater: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*x - 168 = 28*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*u = -200*u - 112 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, 7, 12, 19?\n\"Answer: q**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0259377 - 29185.0640623. Let c = -29182.2900026 - d. Let q = 2.8 - c. Round q to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3439605010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1802561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 8:40 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80*(-15)\/4560)\/((165\/(-18))\/(-11)).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-10\/3)*c*c**(-2\/11)*c)**10)**(-4) assuming c is positive.\nAnswer: c**(680\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4\/5 + 7*i**3\/5 + 18*i**2\/5 - 108*i\/5 - 216\/5 = 0.\nAnswer: -3, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 13*u + 11. Let f be d(-8). Let m be f\/(-14)*2*1. Calculate the remainder when (m - (0 + -2))\/(-1) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4)*5*-3*4 - ((sqrt(2200)*-2)\/(sqrt(14)\/sqrt(28)))**2.\nAnswer: -17600 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.01 + -4.01. Sort g, -1\/5, 1\/4 in descending order.\nAnswer: g, 1\/4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 3. Let a be n(3). Let u(c) = c**3 - 6*c**2 + 6*c. What is the units digit of u(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8*c + 5*v + 75 = 0, -5*c + 59 = -v. Suppose 7*x - c*x = 4. What is the units digit of ((-34)\/x)\/((-6)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*w**4 - 4184295*w**3 + 175120480755*w**2 - 3115818946405*w.\nAnswer: 5*w*(w - 83677)**2*(5*w - 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t - 3. Let v be l(5). Let n be -2 - ((-2)\/1)\/((-2)\/(-6)). Let z be (2 + -4)*v\/n. Calculate the highest common divisor of z and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1843 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8176*f**3 - 8606*f - 5. Let y(r) = -4088*r**3 + 4306*r + 3. Let j(h) = -3*g(h) - 5*y(h). What is the second derivative of j(b) wrt b?\nAnswer: -24528*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/4 - -5\/4. Let y be 2*(-6)\/(-8)*-4. Which is the biggest value? (a) v (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3412?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.7402442 and 0.4.\nAnswer: 1.49609768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**3 - 3*q**2 + 2*q. Let w be f(1). Suppose 5*p - 4*a = a + 1960, -w*a = 5*p - 1930. List the prime factors of p.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 15 = 0, -5*o + 2*o - 4*g = 12. Let z(i) be the second derivative of 0 + 1\/3*i**3 + o*i**2 + 2*i. Let k(d) = -6*d. Determine 3*k(y) + 8*z(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + 3 + (1*sqrt(128))**2)*1.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -19*d**2 + 8*d - 10. Let i(p) = -22*p**2 + 8*p - 11. Let k(j) = -5*i(j) + 6*t(j). Let b(l) = l**2 - l + 1. Determine -6*b(x) - k(x).\nAnswer: -2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - v + 9, j + 3*v + 3 = -v. Let h be 20\/130 - 139102\/j. What is h rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k**3 - 2*k - 1. Let a be i(-1). Let u = -8 - -29. Calculate the remainder when u is divided by (-44)\/6*a\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*n**5 + 103*n**5 - 185*n**5 - 30*n wrt n.\nAnswer: 540*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42406*v**5 - v**4 - 5*v**2 + 2*v + 605 wrt v?\nAnswer: -2544360*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbsovvostbsvvsbvv. Give prob of picking 2 v and 1 b.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 2, t: 2}. What is prob of sequence ht?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 299 - 299.0001337. Round r to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 480576*d**2 - 18257556*d - 173433064.\nAnswer: -4*(d + 19)**2*(d + 120106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/5)\/i)\/(i\/((i**(2\/17)\/i)\/i)))\/(i\/i**(2\/5))**(-8\/7)*(((((i\/(i*i**(1\/4)))\/i*i)\/i)\/i)**5)**(13\/6) assuming i is positive.\nAnswer: i**(-130289\/4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 - 17*h**4 + 2*h**4 + (2 + 1 + 0)*(-2*h**2 + 2*h**2 - h**4).\nAnswer: -19*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - 3*n + 6*n)*(10*n - 40*n**2 - 48*n - 53*n + 91*n) to the form g*n + c*n**2 + o*n**3 + k and give o.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1503, -5824, -13033, -23136, -36139, -52048, -70869?\nAnswer: -92608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, g: 5}. What is prob of sequence ccgc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 15*y**4\/4 - 81*y**3\/2 + 567*y**2\/4 - 150*y - 36 = 0.\nAnswer: -1\/5, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 21. Let d be h(-9). Solve -2*g - 4 = -d*z - 15, -g - 14 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 1, 16, 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.021, 0.0032, 3, -0.5, -3\/5 in ascending order.\nAnswer: -3\/5, -0.5, -0.021, 0.0032, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - w - 94 + 33 = 0, 10 = -2*w. Suppose -2*y + 42 = y. Let u = c + y. Solve u*t = -t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*21.526.\nAnswer: 172.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11*d**2 + 8*d. Let t(h) = -h**2 - 13*h + 119. Let i be t(-19). Let v(a) = -6*a**2 + 4*a. Determine i*v(f) - 3*r(f).\nAnswer: 3*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n**4 + n**4 - 17*n**2 - n + 2 + 9*n**2 + 2*n**3 + 9*n**2 in the form u*n**3 + q*n + c*n**4 + i*n**2 + s and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -257 (c) 1 (d) 4 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/429 + 1301\/3003. Put 7, j, 2, 0 in ascending order.\nAnswer: 0, j, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**6\/60 + s**5\/6 - 7*s**4\/12 + s**3 - 3*s**2 + 12*s. Solve q(i) = 0 for i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 divided by 33.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (23\/644)\/((-1)\/(-81)) and -9\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(208) + 1 + (1*2*sqrt(208) - sqrt(208)) + 0)**2.\nAnswer: -8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 308 divided by -22\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -111202211121002 (base 3) to base 9\nAnswer: -14684532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 3:31 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260242 and 31749524.\nAnswer: 31749524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 150117034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -x - 20, 25*l + x + 8 = 26*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 4. Let o = 436 - 440. What is r(o)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 9. Let r be d(7). Suppose 0 = 4*k + 2 + 10. Let w = -1 + 0. Put k, r, w in decreasing order.\nAnswer: w, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005284 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 9 - 6. Suppose -2 - 13 = -u*m. Suppose b = -m*a + 16 + 30, -3*b - a = -82. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 18 - 2 - 17. Let o(y) = y + 2. Calculate -2*m(w) - o(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -3\/10, -1, 6, 102, 0.1?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*c - 14, m + 5*c - 2 = 2. Are 15\/2 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/3 + 6*b**3 + 50*b**2\/3 + 18*b + 20\/3 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -990 = -235*x + 549*x - 284*x for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(1 - 3 + 3)*((4*m - 2*m - 3*m)*(2*m**2 + m**2 - 5*m**2) - 5*m**3 + 3*m**3 + m**3 + 1212*m**2 - 325*m**3 - 1212*m**2).\nAnswer: 648*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55272899159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 12. Let l(q) = q**3 - 5*q**2 - 6. Let g be l(5). Let f be t(g). Suppose 0 = -0*k + 2*k - f. Solve 4 = -k*h + 2*x - 8, 3*h = -2*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 11*j**2 + 7*j + 4. Let x(q) = -12*q**2 - 7*q - 2. Let o(n) = -3*t(n) - 2*x(n). Let s be o(-2). Let d(r) = -r**3 - 5*r**2 + 6*r - 8. Give d(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6367775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13611 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 - (1 - 2) - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 4*k + 4*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 76*m + 201. What are the prime factors of r(12)?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 348 and 12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 267831 and 26.\nAnswer: 6963606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 6*c**2 + 3*c - 4. Calculate v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32 from 107.728.\nAnswer: 139.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10*7600\/21280. Let x = 395\/6 - 66. Which is the closest to -1\/4? (a) x (b) g (c) -0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6351 is divided by 104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 10:50 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (240 - 20*w - 240)*(-4*w + 6*w - 20 + 58).\nAnswer: -40*w**2 - 760*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 1. Let v(p) = -13*p - 94. Let y be ((-1)\/(-2))\/(13\/26). Let l(h) = y*v(h) - 5*j(h). What is the derivative of l(z) wrt z?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -142641 - -32?\nAnswer: -142607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 111217337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - sqrt(63))*2.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**5\/20 + 11*c**4\/12 - 17*c**3\/6 - 8*c**2 + c. What is the units digit of n(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -3, -1505, -1 in descending order.\nAnswer: 8, 5, -1, -3, -1505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4 - 22*b**3 - 120*b**2 + 22*b + 121 = 0.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 814*v - 169*v**2 + 868*v - 100*v**2 - 985*v**2 + 716*v wrt v?\nAnswer: -2508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 60 - 5)*(-2*f - 10*f - 3*f).\nAnswer: -990*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 224*d = 1130 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14417428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 14013*g. Let b(o) = -3*o. What is b(y(q))?\nAnswer: -42039*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 7*y + 2. Let x be k(7). Let z(h) = -500 + 4*h**2 + 501 + h**3 + 0*h**3 - 3*h. Is 19 a factor of z(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddssddddsddddd. Give prob of picking 3 s.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 517*q = -2*y + 514*q - 8, -3*y - q - 12 = 0. What is the fifth smallest value in 0.23, 0, y, 2, -2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15973, 63837, 143609, 255289, 398877?\nAnswer: 574373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 5*z - 4. Let v be k(-3). Suppose -4*x = -v*x. Let r = 1 - x. Which is the nearest to 0? (a) 3 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 80784876 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1200512.\nAnswer: -3\/1200512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(7 + -4)*(-2)\/(-14)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16516*-2.\nAnswer: 33032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*o + 76. What is the greatest common divisor of 312 and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*d**4 + 3*d**4 - 19*d**4 - 70*d**3)*(0 - 1 - 3) as c*d**4 + s + w*d**2 + p*d + t*d**3 and give t.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 8*c + 10. Let g(r) = 2*r**2 + 15*r - 19. Let j(x) = 6*g(x) + 11*z(x). Suppose 5*k = 4*k + 3. Is j(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 e, and 1 l when three letters picked without replacement from {e: 3, d: 4, l: 6, y: 2, u: 1}?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jei when three letters picked without replacement from {j: 3, e: 1, y: 5, i: 2, r: 3, b: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2. Let b(a) = 11*a**2 + 62. What is s(b(o))?\nAnswer: -363*o**4 - 4092*o**2 - 11532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313 + 1?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/7)\/(t*t**21) assuming t is positive.\nAnswer: t**(-151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k. Let x = -2 - -2. Let a(j) = x*j - 2*j + 3*j. Let q be -4 + 1 + -1 - (-90)\/90. Give q*a(t) - i(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1587244 divided by -793622.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 926087 in ascending order.\nAnswer: -4, 5, 926087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40, -97, -174, -271, -388, -525?\n\"Answer: -10*r**2 - 27*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 237*g**4 - 13*g**3*r**2 - g**2 + 17*g*r + 166*r**2 wrt g?\nAnswer: 2844*g**2 - 78*g*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1020*p + 1017*p + 6 = 0, -4*p = -25*k - 658 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 6 (b) -2\/17 (c) 8.57 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 717593.4kg in tonnes?\nAnswer: 717.5934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1121122 (base 3) to base 14\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21670 - (((-20)\/15)\/((-8)\/36) - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 d, and 1 y when three letters picked without replacement from {w: 1, e: 5, c: 2, y: 2, r: 8, d: 2}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 6*f**2 + 4*f - 9. Let n be i(-6). Let d = -26 - n. Solve x - 2*y - 1 = -4*x, -d = -3*x - 2*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -1\/5, 3\/2, 9, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*d. Suppose 5*u = -33 - 32. Let r = -13 - u. Solve d = b - r*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 38. What is the common denominator of -53\/22 and (-70)\/195*-3*1\/x?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 96, 94, 92, 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -49. Solve q*p + 4*c + 4 = 0, 0*p - 5*c = -2*p + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -66812587604 and 2.\nAnswer: -66812587602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + (-9)\/(-6))*(-6)\/(-1). Let n = 73 + -152. Let o = 83 + n. Solve -q - o*r - 18 = -j*q, -q - 5*r = 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-532)\/228*(-4)\/14. What is the third smallest value in l, -1\/3, -12\/5, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2. Let l = 7 + 2. Let t be (-2)\/l + 76\/18. Let r(g) = 2 - 4 + 2 - t*g**2. Determine w(r(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41112536*u**3 - 691789016.\nAnswer: -123337608*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 533?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let r(j) be the second derivative of 2*j + 0*j**4 + 1\/2*j**2 + 0*j**3 - 1\/30*j**5 + 0. Let v(h) be the first derivative of r(h). What is m(v(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -751300 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22979, 45954, 68925, 91892, 114855?\n\"Answer: -2*c**2 + 22981*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/5)\/a**(-15\/8) assuming a is positive.\nAnswer: a**(83\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12, -5, -3, 1 in descending order.\nAnswer: 1, 0, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30653 = -1744*w - 10584 + 21787 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = -3*w + 208. Suppose 36 + 1537 = w*y. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 13. Suppose -1 = u + 2*l, -2*u + 8 = 4*l - i*l. Is 3 not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8847296, 1, -2 in decreasing order.\nAnswer: 1, -2, -8847296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288834.\nAnswer: 2, 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 67185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 940.34 + -0.74. Let l = -939 + i. Let c = -0.15 - 5.85. Put 1, l, c in increasing order.\nAnswer: c, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3 and -221 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 171 or 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 33 = -5*q - 5*f, 0 = -2*q + f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.8 times 642668?\nAnswer: -18508838.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/21*63\/27\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3712 - -5229. Let o = h - 1516.80998. Let s = -0.19 + o. Round s to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 166078 - 128302 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 + 19765*a**4 + 59289*a**3 + 59287*a**2 + 19762*a.\nAnswer: a*(a + 1)**3*(a + 19762)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 0 - 2\/6*6. Is 7*(s + 4 + 489) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 80\/(2240\/84) + (-252)\/(-2)*6. Which is smaller: -0.13 or g?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*1.4922686.\nAnswer: -1.34304174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(3\/1) + -1. What is the units digit of (4\/(-3))\/d*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 2. Suppose 3*v + 4*z = 5, v + 2*z + 1 = -4*v. Determine n(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(63))\/sqrt(3)*1)\/(sqrt(27)\/(sqrt(18)\/sqrt(2)) + sqrt(3) - (sqrt(363) - sqrt(363)*-2)).\nAnswer: -2*sqrt(7)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1501977 is divided by 51.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36 - -508)*((-34)\/(-4) - 0). Suppose 0 = 3*n - 59 - u. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74748199 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5020, 3, -2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -3*j - 12, -j - j - 5*d = 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501490451.\nAnswer: 7, 11, 930409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1840249463?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -158\/5*z**2 - 2\/5*z**3 - 4410 - 742*z.\nAnswer: -2*(z + 9)*(z + 35)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*p**4 - 36*p**4 + 25*p**4)*(-87 + 104 + 63) in the form z*p**2 + r*p + m*p**3 + h*p**4 + b and give h.\nAnswer: -3200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -47933155.468.\nAnswer: -47933170.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11711510, -23423015, -35134518, -46846019, -58557518?\nAnswer: -70269015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 16 + 31 - 6*f**2 + 2*f**2 + 3*f**2 to the form z + t*f + o*f**2 and give z.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.93517 and 0.3?\nAnswer: -4.480551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*b = -219*b + 4329 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34354487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3))**(2\/19)*(a\/(a\/(a\/(((a\/(a**(2\/9)*a*a)*a*a)\/a)\/a)))*a)**(1\/53) assuming a is positive.\nAnswer: a**(-2311\/9063)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 3*y - 2*y**2 - 3*y)*(-6*y**2 - 2*y**2 + 0*y**2).\nAnswer: 16*y**4 + 16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 61) + (-44 - -37) - (-7 - (20 - 42)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 33614328?\nAnswer: 33614327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1225715499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + c = 6, 56 = c + 49 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-231)\/66)\/((-14)\/(-24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6885020 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -682*l = -688*l - 14316. Is -2387 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48712 at most 48714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 284 + 683. Suppose 19 = -4*f + y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a century in months?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + -1*sqrt(192))*4)\/(sqrt(270)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, 1 in ascending order.\nAnswer: -19, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.8 and -6.\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c*c\/(c\/((c**0\/c)\/c)*c)))\/c)\/c*c)**(-49)*(c**(5\/6)\/c*c)\/(c\/c**(-4))*((c*(c**(-6)*c*c)\/c)\/(c**(-2\/9)\/c*c))**(-33) assuming c is positive.\nAnswer: c**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (14288\/80)\/19.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6296 is divided by 105.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 1400?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 46 = 5*j, -j - 5*t = 15 - 1. Let x(m) = -m**2 + 3*m. Let w be x(3). Suppose -l + j*l - 55 = w. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -11. Let k = -15 + f. Which is the closest to 1\/4? (a) 0.2 (b) k (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/120 - j**4\/6 - 2*j**3 - j**2. Let p(r) be the first derivative of x(r). Calculate p(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**3\/6 + 48*a**2 + 24. Let i(s) = 23*s + 5. Calculate -i(d) - 5*j(d).\nAnswer: -23*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = -3, -5*s = -h - 16. Suppose -h*v + 39 = -45. Suppose 0 = f, -2*f + v = l + 2*l. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 6*b - 10. Let o be w(8). Let r(l) = -2*l**2 + 24*l - 57. Does 5 divide r(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12159331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 736047 and 2187.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/20 and -73\/500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -cd9?\nAnswer: cd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 275 = 43*p + 164 - 59 + 10, 5*p + 3*o = -48 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135651108 divided by -6.\nAnswer: -22608518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p + 5. Let w(n) = 7*n - 5. Let o(y) = -6*v(y) - 7*w(y). Let b be 2 - 2\/(((-90)\/(-24))\/15). Give o(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017706509 rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 103717480 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -45\/374, 2.5, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**5\/13 + 2086*c**4\/13 - 260656*c**3\/13 - 2984498*c**2\/13 + 1686440*c\/13 + 1556632\/13 = 0.\nAnswer: -11, -1\/2, 1, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k + 32. Suppose d = p + 3, -5*p + 3 - k = -3*d. Let g be -3*-1*6\/45. Which is smaller: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4380395.94 + -6.32?\nAnswer: -4380402.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -33617 (base 13) in base 16?\nAnswer: -16c7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**4\/6 - 2*a**3\/3 - 5*a. What is the second derivative of c(m) wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1614 and 2.\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 4, 0.09, -1\/2, -1037.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16858 + 17314. Is f a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g**2 + 857*g + 8189. Let r(k) = -52*k**2 - 5568*k - 53228. Let t(q) = -5*r(q) - 32*y(q). Determine c, given that t(c) = 0.\nAnswer: -93, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 + 52*v**2 - 177*v + 94. Determine g(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 63*i**2 - 216*i - 204.\nAnswer: -3*(i + 2)**2*(i + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 129, -3, -49\/8?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -133990 (base 10) in base 8?\nAnswer: -405546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 52 = -30. What is w rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2898128799?\nAnswer: 3, 1487, 216553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.85 - -20.05. Let l be 3*(18\/8 + -2). Which is the nearest to 1? (a) j (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**3 + 3*c**3 - c**3 + (-3*c**2 + 4*c**2 + 2*c**2)*(4 - 4 + 2*c + (-3*c + c + 7*c)*(3 - 5 + 0)) to the form a*c + f*c**2 + p*c**3 + o and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + z - 2*z = -9, z + 5 = 0. Let c(j) = j**2 - 5*j - 12. Let o be c(b). Suppose 8 = 2*a + o*u + 3*u, 0 = 2*a - 4*u - 44. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62.7 - -62. Is w greater than or equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2263.\nAnswer: 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 5*g - 3. Let b be r(3). Suppose -b*k - 5 + 68 = 0. Let u = 28 - 17. What is the remainder when k is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520 is divided by 114?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 2*a. Let z be s(5). Suppose 6*c - z = 3*c. Let f(j) = -j + 4. Let y(i) = -1. Let l(v) = -f(v) + 3*y(v). What is l(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 98 + 470. Is 38 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = f + 15, 2*f + 2*y - 230 = -236 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 228, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 312040*i**4 + 160*i**3 - 580*i**2 + 14589 wrt i.\nAnswer: 7488960*i + 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvgv when four letters picked without replacement from vvvvvvvvvvvvvgv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -c18369 (base 13) in base 11?\nAnswer: -25a5672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 27 + 39 = 5*y, 5 = 2*y - o. Solve -y*f - 5 = 4*z - 21, -5*f = 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16207720 divided by -5?\nAnswer: 3241544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/2 + 0. Let w = l + -3\/14. Solve 0 - 12\/7*s**3 + 8\/7*s**4 - 2\/7*s**5 + 8\/7*s**2 - w*s = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, -3, -2\/3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.0381 (b) 2.3 (c) 0.4 (d) 7 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83507, 83500, 83489, 83474, 83455, 83432, 83405?\nAnswer: 83374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/18*(1 - 9). Let c = 21363\/638 + 5\/319. Find the common denominator of (5 - (-124)\/(-24))\/(n\/118) and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -8 (c) 11 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*u + 0 = 17, 0 = -5*t - 4*u - 30 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 485\/(-20) + (-2)\/(-8). Let z be i\/(-32) + 354\/8. Suppose -5*o + 5*l = -z, 0*o - 2*o + 10 = 2*l. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**9\/8064 + q**8\/2240 + 4*q**3\/3 + 10. Let u(p) be the third derivative of z(p). Factor u(g).\nAnswer: 3*g**4*(g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4192663648 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from upuauau.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(224) - (sqrt(224)*2 - sqrt(224))) + 2*sqrt(224)*-1 + sqrt(224))\/(1*sqrt(200)*-2).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 16. Let q = -0.2 - -0.1. Which is the closest to d? (a) 2\/9 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 24. Let f(j) = -2*j - 24. Let r = -336 - -331. What is r*f(l) + 6*o(l)?\nAnswer: -2*l - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1244*o**3 + 914*o**2?\nAnswer: 7464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-20))\/(24\/(-32)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/(3\/(-18)) - 3. Let p be b*(-2)\/(-10)*-1. Suppose p = -60*r + 55*r. Which is greater: -1\/20 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 685\/50) + 49\/10 - 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l + 3. Let t = 368 + -248. Let z = t - 100. Calculate the remainder when z is divided by f(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**2 - 8*o**2 - 7*o**4 + 8 - 9 to the form g*o**4 + r + w*o + z*o**3 + i*o**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f. Let h(g) = -14*g**2 - 21*g**2 + 16*g**2. Calculate v(h(z)).\nAnswer: 38*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*p - 25, -3*p - 25 = t + 4*t. Let j = 0 + p. Let r = 41 - 327\/8. What is the second biggest value in 2\/17, j, r?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 16*p**2. Let f be x(1). Solve 3*m = -m - f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10854925 and 9775?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2960 + 2965. What is the closest to 1 in -4, -1\/5, 3, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 635 - 630. Suppose 5*y = 3*y + 72. Let u = -143\/4 + y. What is the closest to u in 4, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 2074?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 281083538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*p + 80. Let t = 4 + -2. Find the second derivative of 3*q**t + 16 - p + 3*q wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 34\/17849?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207648 divided by 1648.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 159 + -1b?\nAnswer: 13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, -5 in ascending order.\nAnswer: -5, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, f: 3}. What is prob of picking 2 l?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6613\/(-778))\/(17\/(-94)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 10*y + 59. What is z(-5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfz when three letters picked without replacement from jzfqj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y**2. Let k(u) be the third derivative of -u**4\/24 + 14*u**2. Determine s(k(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 204\/9*24\/(-16). Is c at least -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -22*n + 33*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3755.895 and -1113?\nAnswer: 2642.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-24) + (-2)\/8*6.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001014 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7691740, 15383479, 23075218, 30766957, 38458696, 46150435?\nAnswer: 53842174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2 - 16 + 6 + 6 - a. Let m(o) = 9*o**2 - 1. Let c be m(-1). Suppose c*q = 3*q. Determine b(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254295891 by 9.\nAnswer: 28255099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(3\/16)\/(p**9\/(p\/((p\/(p\/p**5))\/p*p))) assuming p is positive.\nAnswer: p**(-101\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-1) + 1 + 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14505 divided by 5?\nAnswer: -2901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -231011, -231017, -231033, -231065, -231119, -231201, -231317, -231473?\n\"Answer: -l**3 + l**2 - 2*l - 231009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 8:48 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 8:42 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Suppose 0 = -t*p - 5*u + 11, 3*p + 3*u - 11 + 2 = 0. Calculate the lowest common multiple of (-1104)\/(-120) + 16\/20 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-315))\/(3*(-2)\/14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 83*s - 86*s - 21, 4*l = -5*s + 50 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 11*v**4 + 18*v**3.\nAnswer: v**3*(v - 9)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97992 (base 10) to base 11.\nAnswer: 67694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*p - 6 = 9, -5*l + 13 = 3*p. Does 10 divide (34\/l)\/((-6)\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4517 by -26.\nAnswer: 4517\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607829507.\nAnswer: 607829507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**3 + 4*o**2 - 8*o = 0. What is o?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -223*l**2 + 54*l - 135*l + 83*l + (-3*l - l + 3*l)*(-2 - 2*l + 2).\nAnswer: -221*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3177704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 451*v**2 + 3137*v - 12868. Calculate k(444).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.33, 1, -1\/7, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-2 - -4))\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -f - 16. Let l(j) = -j**2 + 5*j + 9. Let a be l(7). Let v be (-12)\/(-2)*a\/(-15). Solve v*d + 4*x = f, 8 = 3*d + 2*x - 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8246355815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 366 and 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(858\/(-55))*-12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1250*z + 1 - 1.\nAnswer: -1250*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 4*s + 11. Let d be ((-64)\/12)\/(1\/(-3)*1). Let i = d - s. Solve i*g = -o + 3, 0 = -4*g + 2*o + o + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*m = -22, 0*w - 5*m = 4*w - 44. Let v(o) = 11 - w + 3*o. Let t(r) be the second derivative of r**4\/4 + r. Calculate t(v(d)).\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 452?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6747321 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2412 divided by 50433\nAnswer: -804\/16811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -331200 rounded to the nearest 10000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a3d5 + 186?\nAnswer: -1a24d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12322213321232 - 10?\nAnswer: 12322213321222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-55))\/(88\/220)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 6443919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 877, -2, 0.485, 2\/13, 3?\nAnswer: 0.485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8254383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 79 + -4 + (-341 - -289)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 104 + -48 + -1 + -11 + (0 - -9).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123876 and 13733.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 0.2, 19, 29, -2\/21, 2\/9, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20145 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 79\/378, 96, 0.1 in descending order.\nAnswer: 96, 79\/378, 0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1220 + 555?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2152\/5 + 1\/10. Let r = j - 431. Which is smaller: r or 28\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113997 by -25.\nAnswer: 113997\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 19. Let l be (-2 + 0)*(-4 - f). Let s(z) = z**2 + 4*z. Let j be s(l). Solve j = 4*g - 0*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 373137206?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-4) - -3)\/(12\/(-7200)*-12). Let i(k) be the first derivative of 1\/12*k**6 - 1\/6*k**3 - c + 0*k + 3\/8*k**4 - 3\/10*k**5 + 0*k**2. Factor i(n).\nAnswer: n**2*(n - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35354 - -1.\nAnswer: 35355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 765 and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182432072 and 2896?\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 5:57 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 606125143 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z. Let p be q(2). Let t = -1165 + -1413. Is 11 a factor of t\/(-18) + p\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36899 is divided by 89.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -33, 66, -20, -5 in decreasing order.\nAnswer: 66, 0, -1, -5, -20, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.4261 litres to millilitres.\nAnswer: 10426.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -0.08 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*t**2 + 13*t**2 - 10*t**2)*(3 - 3 + 6*t**3).\nAnswer: 90*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 3 (c) -3\/2 (d) -2 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from appi. What is prob of sequence ip?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -23*g**2. Suppose -8*d + 6 = -10. Let a(f) = -9 + 9 + d*f. Determine j(a(w)).\nAnswer: -92*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2783 + -2787. Which is the nearest to -2\/7? (a) -1 (b) 6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.26 - 0.16. Let c = 6 + n. What is c rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/155? (a) 69 (b) -3\/2 (c) -1 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 30. Suppose 0 = 5*j - x*c - 4, 4*c = j + j + 4. Solve -3*t + 5 = j*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 224?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -312 + 306. Let s(y) = -16*y - 69. Calculate the remainder when 430 is divided by s(l).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.87 - -0.13. Let q = 185143516.99999928 - 185143542. Let c = r + q. What is c rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 23*p - 42*p to the form q + a*p and give a.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 - 28989*o - 10*o**2 + 28989*o - 103*o**3.\nAnswer: -103*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10101980 divided by -7\nAnswer: -1443140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + x + 8. Let j(d) = -d**3 + 2*d**2 - d - 9. Let u(q) = 5*j(q) + 6*y(q). Let k(i) = 5*i**3 + 3*i**2 - 2*i - 4. Calculate -3*k(c) - 4*u(c).\nAnswer: 5*c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Let a(y) = 5 + 5*y + 0 - 3 - k*y. Determine a(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6701070 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzkbcwg. What is prob of picking 1 g, 1 b, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 41*x + 62. Let p be d(-3). Let g = p + 66. Calculate the greatest common factor of 25 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from bjttttbjttjjjjjjttt?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-4))\/80*8\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4020 divided by -804?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2921 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 - 4854*g - 48248. Determine k(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(-4*j + 0*j + 3*j) - 2*j - j + 0*j + 72 + 185*j - 92*j - 90*j - 5*j - 4*j + 2*j to the form k + u*j and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7526 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdmm when four letters picked without replacement from ddmtvmvtvdvvddtkvvkv?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1276, -6775, -2, -3 in decreasing order.\nAnswer: 1276, -2, -3, -6775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -135 or -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17266*m - 10774*m = -512835 + 3765475 for m.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/5 and 32\/1834185?\nAnswer: 1834185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sixswsssxx. What is prob of picking 3 x and 1 s?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 19905\/13 (c) -2 (d) -132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 + 156 = 38*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 557\/21 (b) 2\/7 (c) -3.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-4))\/(880\/(-330)*15\/(-40))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 24 + 14 - l**2 - 16*l. Let z be u(-13). Solve -22 - 9 = z*d - 5*k, 0 = -d + 2*k - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 24*p**3 + 885*p**2 + 753*p - 108 = 0.\nAnswer: -36, -1, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -844*d**4 - 4228*d**3 + 6712*d**2 + 10192*d + 96 = 0. What is d?\nAnswer: -6, -1, -2\/211, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h**3 - 4*h**2 - 5*h. Let j(n) = 7*n**3 - 4*n**2 - 5*n - 1. Let a(c) = 6*f(c) - 5*j(c). Let t be 135\/(-315) + (-266)\/(-49). Calculate a(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-13) - -81*12\/(-234). Let g be ((-4263)\/(-28))\/((-1)\/p). What is the third derivative of -7*w**2 - 3*w**2 + 609*w - g*w - 35*w**4 wrt w?\nAnswer: -840*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.026, -0.5, 5?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -868406 + 17468406. Round o to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, w: 3, c: 2, n: 1, o: 1, h: 3}. What is prob of picking 2 h and 1 c?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.998 to one decimal place.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -515 - -527. Suppose -21 = -3*t + 9*d - s*d, -5*d = -4*t + 19. Calculate the highest common factor of 54 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 a factor of 53427229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 14 = 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120 or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/30 - 3*z**4\/8 + 13*z**3\/6 + 5*z**2. Let r be m(4). Let s = 12 + -11.8. Which is smaller: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2800531.88*0.5\nAnswer: -1400265.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvwwggvwag. What is prob of sequence vgv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5376695 - 1506087 = 4*l. Let p = l + 932348. Suppose 3*u - p = u. What is u rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -150*r**4 - 3*r**2 + 14*r - 3. Let j(n) = -n**4 - n**2 - n - 1. Let h(m) = 6*j(m) - 2*q(m). What is the second derivative of h(w) wrt w?\nAnswer: 3528*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1045 (base 6) to base 12\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(128)*1) + -2)**2.\nAnswer: 28*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 267*i**2 - 271*i + 1152. Calculate l(268).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-6) + (2192 - 2200)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-2\/3)\/w))**(-2\/51))**(-8))**(38\/3) assuming w is positive.\nAnswer: w**(4864\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 14*t - 152. Give k(-9).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.4 - -14. Which is the nearest to 6? (a) -4\/3 (b) -1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8733435 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -1. Let l(z) = -z**3 + 3*z + 1. Let n(h) = -h**3 - 2*h**2 + 2*h + 5. Let k(v) = -2*l(v) + n(v). Determine k(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 - (5 + -3 - 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16849560 divided by 60.\nAnswer: 280826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22170535 (base 9) to base 16\nAnswer: -a3ca99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -409*s**5 - 418*s**5 - 260*s - 408*s**3 + 1236*s**5 - 80*s**4 - 592*s**2 - 413*s**5 = 0.\nAnswer: -13, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 19 + 10)*(4 - 4 + 2*b**5) + (-4*b**3 - b**3 + 3*b**3)*(2*b**2 + 2 - 2) - 4*b**5 + 5*b**5 + 0*b**5.\nAnswer: 25*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1642 is divided by 1578?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -1014?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2*y + 41 + 33, 119 = 3*w + 5*y. Let a = -168 + 282. Let j = a - w. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2503 by -1.\nAnswer: 2503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -3*s - s**2 - 1\/3*s**3 + 2. Let m be c(-2). Sort m, 2, -4 in decreasing order.\nAnswer: 2, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29528 + -29528.326. Put l, -0.2, 1, -0.4 in decreasing order.\nAnswer: 1, -0.2, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 - -2)*(-2)\/6. Let b(z) = -6 + 6 - z + 11. List the prime factors of b(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -10*v**6 - 6*v**4 - 11*v**2 - 6. Let x(s) = -3 + 2 + 27*s**4 - 28*s**4. Let d(z) = w(z) - 6*x(z). What is the third derivative of d(j) wrt j?\nAnswer: -1200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124214 - 444304?\nAnswer: -320040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6669751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/7881 and -97\/12.\nAnswer: 31524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 496156 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101002 - -2?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -204, -358, -512, -666, -820, -974?\n\"Answer: -154*j - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19088 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -96 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17551 is divided by 927.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/32)\/7*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 6*n**2 - 24*n + 119. Let q be j(4). What is the smallest value in q, -2\/9, -1\/2, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 749 = 4*a + 29. Suppose -11*j - a = -8*j. What is the tens digit of ((-4)\/10)\/(16\/j)*36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26714 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2 + 20 = 4*x, 0 = -4*h - 5*x + 24 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -3546476\nAnswer: 1063942.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 16*d**2 - 54*d - 9. Let l be q(11). Solve -3*y - 15 = -l*c, -3*y = -c + 2 + 13 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2691 is divided by 335?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 249913979487022+4\nAnswer: 249913979487026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(864) - sqrt(864) - sqrt(864))\/((sqrt(48)\/sqrt(2))\/sqrt(12)) - ((sqrt(24) + sqrt(600))\/sqrt(4))\/(sqrt(72)\/sqrt(4) + sqrt(18)).\nAnswer: -49*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1341603 - 2?\nAnswer: -1341605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1691*n**3 + 4*n**2 - 5*n - 7. What is s(-1)?\nAnswer: -1689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2331 and 5328?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/3, -5, -31?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 30226.93ug?\nAnswer: 30.22693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40904917 is divided by 61?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 63 = q, 0 = 2*q - t - 99 - 52. Let y = 61 + -35. What is the highest common divisor of q and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 2*r - 4. Calculate the remainder when v(3) is divided by 3 + -2 + 1 + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 249, 2, -6, -36, -4 in descending order.\nAnswer: 249, 2, -4, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*z + 36*z + 30 = 0. Suppose 4*b = -7 + z. What is the closest to 1\/6 in b, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*d - 4*f, -d - 17*f - 25*f + 19 = -46*f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-21)\/28*4*(-15)\/(-10))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/57)\/(b*(b**5\/b)\/b))\/(b**(-42)*b\/(b*b**(-5))) assuming b is positive.\nAnswer: b**(1883\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(342\/189)*(-6)\/7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/5 + 2958*f**3\/5 + 14744*f**2\/5 + 1176*f - 23584\/5 = 0. Calculate f.\nAnswer: -1474, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i - 37*i + 280 - 837*i**2 - 276 + 846*i**2 to f*i**2 + t*i + m and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-45)*(-6)\/(-8)*14883. Suppose -5*k - 701 = -j. What are the prime factors of k?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5.4, -0.531, -1\/3, 13, -2, 4?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence saa when three letters picked without replacement from {s: 11, y: 3, a: 4}?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45 - -377 - (6\/3 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5 (b) 5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, t: 4, z: 5, a: 1, q: 4}. What is prob of picking 1 y and 1 q?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 154350 + 0?\nAnswer: 154350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15\/38?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-392)\/(-22) - (-12)\/66. Suppose -u = -4*m + 3*m + f, 0 = -m + 3*u + 24. What is the greatest common divisor of 135 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309925 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 9.5. Let q = -492\/5 - -99. What is the second biggest value in q, 1\/6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/910 and -53\/20839.\nAnswer: 208390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = 3*u + 3*n, 24 = -4*u - 3*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6.3 and 200751.\nAnswer: 200744.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 8:08 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 408 - 1129*r**2 + 1125*r**2 - 56*r + 72.\nAnswer: -4*(r - 6)*(r + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 28*h**3 - 3*h**2 - 5*h + 4. Let o(a) = 28*a**3 - 2*a**2 - 4*a + 3. Calculate 2*d(g) - 3*o(g).\nAnswer: -28*g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/15 + 4\/10. What is the first derivative of -3 + 5 - 3 + m*p wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 1, -3, 4, -4, -2 in decreasing order.\nAnswer: 4, 1, -2, -3, -4, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in -29\/47, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10521 + -84221\/8. Find the common denominator of w and 101\/926.\nAnswer: 3704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 101\/5. Which is the nearest to -0.2? (a) -1\/6 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from xkkxkkrbkxkkbflk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = 2*i. Let t = 3.01 - 3. Let g = 4.99 + t. Which is the nearest to 0.1? (a) 2\/15 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21754657 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2055785042?\nAnswer: 2, 1027892521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v - 2. Let r = 71 + -87. Let y be -6*28\/r - (-3)\/(-2). Let q be z(y). Solve -3*l - 2*l + q = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.56 + -0.711. Let s = 0.1509979 + v. What is s rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 9*p - 1. Let y be (-4 - -4) + 4 - (-2 - -4). Calculate z(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 2\/19 (b) 2 (c) -0.4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 - 451*q**2 + 1624*q + 4816. Determine c(-229).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*i - 0*z + 4*z - 5, 223 = z + 221 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 84*410702\nAnswer: 34498968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -12*c**2 - 4*c - 2. Let x(f) = 11*f**2 + 5*f + 2. Let b(r) = -5*x(r) - 4*z(r). Determine m, given that b(m) = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -2305*l**4\/24 + 11*l**3\/6 - 28*l**2. Is s(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1767258000 divided by 4712688.\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s**2 - 134*s - 4. Calculate u(16).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**5\/120 - i**4\/3 - 13*i**3\/3 - 7. Let s(p) be the third derivative of j(p). Differentiate s(n) with respect to n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 - 2*p**3 - p**3 + (-9 + 6 - 10)*(-2*p**3 + 0*p**3 + 0*p**3) in the form j + f*p**3 + v*p**2 + x*p and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 12, -2 in descending order.\nAnswer: 12, 11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 262, 1013, 2266, 4021, 6278?\n\"Answer: 251*a**2 - 2*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*i + 99, -4*v + 5*i - 2*i - 104 = 0. Let n = 6 + -8. Let c = n - v. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51.02978 and 0.9.\nAnswer: 45.926802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*4\/(-14). Let k = 81 + -78. Which is the closest to 0.1? (a) p (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(-6)*o*o*o)\/o))\/(o*o\/o**(-1)))**(14\/9)*(o**(-1\/5)\/(o\/o**(-7)))**(-2\/57) assuming o is positive.\nAnswer: o**(2906\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l - 4*x - 8 = 59*l, -x = -5*l + 2. What is the third smallest value in -341, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and 264.\nAnswer: 264.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 311678025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -4345?\nAnswer: 4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and 9695.\nAnswer: 9701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11164 (b) -56 (c) 1 (d) -7 (e) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*(49\/(-42) + (-1)\/(-2)). Sort -7, -2, a.\nAnswer: -7, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 0.3 (b) -1 (c) 0.48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -50.59 equal to 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1794, 10637, 33564, 77613, 149822, 257229?\n\"Answer: 1173*v**3 + 4*v**2 + 620*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) - (sqrt(280) + (sqrt(280) - -4*sqrt(280))*5))\/sqrt(10))\/(sqrt(576) + 5*sqrt(576)*-3)*1.\nAnswer: 25*sqrt(7)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycq when three letters picked without replacement from xqycxyyyycqyqyqxqqqy.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1300, 5189, 11672, 20749?\n\"Answer: 1297*a**2 - 2*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 364\/936*(-20)\/(-14)*1?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -29.7. Let i = 0.06 + -9.06. Let g = -8 - i. Which is the closest to 2\/7? (a) g (b) r (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-3))\/((-14)\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 3 - 3)*(4*v**2 - 2*v**2 - v**2) + (-6*v + v + 3*v)*(35 - 35 + 17*v**3).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 786713667 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184840 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 77*q + 30. Calculate i(38).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37, 41, 57, 91, 149, 237, 361, 527?\n\"Answer: m**3 - 3*m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -0.5, 0, 0.05?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88753 - 4595532.\nAnswer: -4506779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9676552.\nAnswer: 2, 61, 79, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0 - 16. Let h = -1195 - -1339. Calculate the highest common divisor of h and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345, -628, -943, -1296, -1693, -2140, -2643?\nAnswer: -3208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 0*v - v**2 - 6*v - v. Let s be i(-7). Suppose -5*d + s + 2*d**4 + 2*d**3 - 2*d**2 + 0 + 3*d = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 1242534?\nAnswer: -1242541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8 = w. Suppose -3*f = 3*h + 2*h + w, 4*f = 4*h + 16. Suppose -f*c = -4*c + 24. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 67 = 2*x + 3*x - 78, 15*x = o + 82 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 13*u - 367. Let p = u + -23. Solve 11 = -2*y + r, 5*y + 2*r + p*r = -5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 5*s**2 + 2*s - 8. Let g be b(5). Suppose 0 = -n + 1 + 3. Suppose 3*z = -p + g*p - 838, n*z = -5*p + 4266. Round p to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 28266.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8853623*n**4 + 6351857*n**2.\nAnswer: -212486952*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 8 = 0, -8*f + 7*f - 3*z + 6*z - 2 = 0 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide (-5688)\/(-15) - (-17)\/(-85)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 3\/11 (c) 0.4 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -5, -1877, 3, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 330189653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 98394, 197213, 296032, 394851?\n\"Answer: 98819*x - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -12. Suppose -3*v + 36 = -95*w + 91*w, -3*v = -5*w - 30. Calculate the remainder when b is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpw when three letters picked without replacement from wwfp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -30164 divided by 2\nAnswer: -15082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4841, 4848, 4867, 4904, 4965, 5056, 5183?\n\"Answer: t**3 + 4840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -276780044*r*v**2 - 455989*r + v**3 + 2*v wrt v.\nAnswer: -553560088*r + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13881073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -197183 divided by 197183?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1104 and 25\/36.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2916254867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 168 + -151. Let c(i) = i**3 - 9*i**2 - 11*i + 12. Let d be c(10). Suppose -x + r = -6*x + 3*s, 3*x + d*s = 5. Is -5 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -120 or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23176 is divided by 3856?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 2*s - 51*s**2 - 26*s**2.\nAnswer: -80*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2433b046 + -2?\nAnswer: 2433b044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/117*198\/44.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 - -221212000021?\nAnswer: 221211221221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 0.055207851003.\nAnswer: 0.255207851003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700*q = 3952 + 2398 + 13950 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h. Let p(x) = -7*x + 164. Give 4*m(n) + p(n).\nAnswer: n + 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -0.2, -1\/2205 in ascending order.\nAnswer: -0.2, -1\/2205, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*h - 4 = 0, h - 2 = -5*v + 2*h. Suppose v = 2*u + 1 - 5. Let c = 11 - 9. Solve 0 = 2*q - m - 4 + 2, -u*q + c = -4*m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o = 36*o + 23*o - 696. Let c(t) be the third derivative of t**5\/60 - 5*t**4\/12 - 2*t**2. Determine c(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/43 + 116\/645. Let n = -81 - -77. Which is the closest to 0.3? (a) m (b) -2\/19 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**3 + 2*b**2 + 361620. Let t be p(0). Round t to the nearest 1000.\nAnswer: 362000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -3\/4, -108241, -4\/3?\nAnswer: -108241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + (sqrt(65)*-2 - sqrt(65)) + sqrt(65))*-6)\/(sqrt(5) - (sqrt(5) - sqrt(15)\/sqrt(48))).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218063*b + 21269 - 21269 + 218057*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 1.1. Let x = 24 + -27. Let j be 2*x*3\/(-99). Which is the closest to -2\/7? (a) -5 (b) i (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -601 and 0.3.\nAnswer: -180.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*sqrt(5) + 4)**2*4.\nAnswer: 96*sqrt(5) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -497, 2.7, -38 in increasing order.\nAnswer: -497, -38, -3, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001559230492 rounded to seven dps?\nAnswer: 0.0001559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10558 is divided by 5006?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*1 + 41 + -2. Let r = 61 - u. Suppose 18*z - 896 = -464. What is the greatest common divisor of r and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -397835 * -0.2\nAnswer: 79567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Suppose h = 3*h. Which is the biggest value? (a) -0.5 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.28 + -2.78. Sort p, 1, -2, -15.\nAnswer: -15, -2, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*o**2*s**3 + 6*o**2*s - o**2 - 2*o*s**2 + 22*o*s - s**3 wrt s?\nAnswer: -138*o**2*s - 4*o - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -14*w. Let i be s(-1). Suppose i - 65 = -j. Suppose -4*l - 4*z + 96 = l, 5*l = 4*z + 104. Solve -5*v - j = -3*k - l, 3*k - 11 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**4 - 14*a - 3*a**2 + 21 - 21 + 8*a + 11*a in the form o*a**4 + k + i*a**3 + p*a**2 + v*a and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 402925 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-6)*11*(-12)\/363?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b = 38*b + 5. Suppose -5*u + 4*w + 35 = 0, -3*w + b = -3*u + 23. What is the nearest to u in 0.3, -0.04, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1121 = 4*u - r, 105*u - 102*u - 862 = 5*r. Let b be 3*-9*(4 + 39\/(-9)). What is the highest common divisor of b and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22224173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1330054278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**0*q*q**(-3)*q)**(7\/5))**(-44))**46 assuming q is positive.\nAnswer: q**(-14168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 59*m**3 - 666089*m**2 + 666073*m**2 - 9*m**3.\nAnswer: 50*m**3 - 16*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 1676\/31. Let j = -0.086 - 0.214. Put 0.3, j, x in decreasing order.\nAnswer: 0.3, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 188 + -139. Differentiate 11 + n - 6*x + 4*x + 7 with respect to x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 55830*p**2 - 155905260*p + 311587240.\nAnswer: -5*(p - 5582)**2*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 1905*a**2 - 9566*a - 56. What is w(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3411 times -182066?\nAnswer: -621027126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4998 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82610 - -82702.142. Let c = -92 + a. What is c rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8777 and 1005?\nAnswer: 131655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-4)*16\/6. What is the derivative of -z**3 + z**3 - 8*z**r + 12*z**4 - 3 wrt z?\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -587380, -586464, -585548?\n\"Answer: 916*k - 588296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -19225\/13 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -13.5. Which is the closest to k? (a) -4 (b) -2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**(1\/33)*((l\/(l\/l**(-44)))\/l*l*l)\/l assuming l is positive.\nAnswer: l**(-1387\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvsufrfvfvessvs. Give prob of sequence vru.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 161904 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204771 and 11.\nAnswer: 2252481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*o = 2*k - 482*o + 6, 6*o + 8 = -7*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = 39*f - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2)*(14 + -6))\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4766332?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189265 is divided by 44.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -9. Suppose w - 1827 = -p*w. Suppose 4591 = -4*l - w. What is l rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/59 - 65\/177. Let b = 6 - 5.97. Let s = 0.13 - b. Sort g, s, -3 in descending order.\nAnswer: s, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -232*v. Let w be (-18)\/4*((-24)\/9 - -2). Let z(h) = h. Let c(j) = w*q(j) + 435*z(j). Let y(i) = 2*i**2. Give y(c(m)).\nAnswer: 136242*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 196*q**3 - 13 wrt q?\nAnswer: 588*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1692 (base 14) to base 7\nAnswer: 14542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 7:25 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) 5 (c) 2335\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1640)\/22550*(-2)\/4?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 - 252 - 29*y**2.\nAnswer: -29*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/12)\/((-1)\/(-8)). Suppose 0 = -18*d - 293 + 815. Suppose 22*n = 51*n + d. Put r, n, 3\/5, 2 in descending order.\nAnswer: 2, r, 3\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-2))\/((-4)\/(-2)). Let u be 1 - (d + -1 - -3). Let g be u\/(3\/1)*1. What is the nearest to -2 in g, 3\/5, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42214443 + -103?\nAnswer: 42214340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12642, -12643, -12634, -12609, -12562?\n\"Answer: w**3 - w**2 - 5*w - 12637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1000 + 1000 - 10*w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*l**3 - 10*l + 2*l**4 + 8*l + 8*l + 57*l + 11*l**3 - 2 wrt l?\nAnswer: 24*l**2 + 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 4*s - 62. Let c(q) = -5084*q**2. Let v(b) = -45*b**2. Let w(f) = s*c(f) + 451*v(f). Let r(h) = -4*h**2. Give r(w(j)).\nAnswer: -6724*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197116?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37813064?\nAnswer: 2, 461, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 2:54 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1207.8149 to one decimal place.\nAnswer: -1207.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, -69, 5, -1332 in descending order.\nAnswer: 9, 5, 0, -69, -1332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -77954?\nAnswer: -7795.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b563 - -5?\nAnswer: 1b568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51812 is divided by 69.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 917598301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from wuuu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24303*i**3 + 47869*i**3 - 23570*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2960 is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2\/4 - 19022493*j\/2 - 120618413311683\/4 = 0.\nAnswer: -6340831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 369, 738, 1107?\nAnswer: 1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 8536 = 9430. Put -0.4, h, -2\/3 in descending order.\nAnswer: -0.4, -2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2455702230 rounded to the nearest 1000000?\nAnswer: 2456000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -186.524 and 27.\nAnswer: -5036.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 24 = n. Let o(v) = -7*v + v**2 + 7 - 2 + 0*v**2. Let y be o(n). Are 3\/8 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 11:30 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6785.397kg to milligrams.\nAnswer: 6785397000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {e: 1, m: 5, i: 1, j: 2, c: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -2\/13 (c) -0.4 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 722 divide 62764182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -27. Let r = 650.8 - 651. Which is the biggest value? (a) r (b) 0.39 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-43)\/(w*w\/(w*((w**30\/w)\/w)\/w*w)))\/((((w**(1\/2)*w)\/w)\/w)\/w)**(-21))**(-1\/11) assuming w is positive.\nAnswer: w**(95\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -2025)*23\/46. Let p = -210 - u. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 5. Let d be (6\/3)\/(2\/p). Suppose -2*y + d = -7. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.2 + 13. What is the second smallest value in 4\/3, 2\/7, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 23 + 1 + 3*m**3 - m**2 + 596*m + 2*m**3 - 594*m to v*m**2 + j*m + s + q*m**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*r = -79, -62 = -9*m + 5*m - 2*r. Let n(l) = -l**3 - 9*l**2 + 7*l + 13. Let k be n(-10). Let w = k + m. List the prime factors of w.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31\/44 - -9\/44. What is the third smallest value in -3, v, -16, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7\/(w*w*w**(-2\/7)))\/(((w*w**2*w)\/w*w*w*w)\/w*w\/(w*(w\/(w*w\/(w\/w**(-8\/7))))\/w*w*w)) assuming w is positive.\nAnswer: w**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5997725 millennia to decades.\nAnswer: 59.97725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 3*c + 2*c)*(-3 + 0 + 0 - 5 - 5 + 9 + 0 + 0 - 2 + (4 - 4 - 2)*(-1 - 3 + 2) + 1 - 3 + 1 - 3 + 0 + 5).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45448567 and 1486?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012714646 rounded to six dps?\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-54))\/((-16)\/(-48)))\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 4401*1) + -1. Let r = x + 7897. Let a = r + -31427\/9. Calculate the common denominator of 32\/11 and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*z - 13*z + 20*z)*(3*z**3 - 3*z**2 + 2*z**2 + 3*z**2).\nAnswer: 96*z**4 + 64*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*r**3 + 14289*r**2 + r - 41519952.\nAnswer: -99*r**2 + 28578*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 7*q + 5 = 5*z - 2, -2*z - 308*q + 1412 - 182 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1753*c**2 + 66*c + 5. Let d be w(-5). Round d to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4276 divided by 4.\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 290*w + 186467. Determine k(-643).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46521332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k - 3 + 13 - k**2 + 7 + k. Let h be r(-8). Sort 2, 5, h in descending order.\nAnswer: 5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -244\/25 less than or equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -863, -862, -861, -860?\n\"Answer: i - 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -f + 4*f - 4*m, -5*m - 17 = -3*f. Suppose f*w - 175 = 29. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/3)\/(s*s\/(s\/(s\/(s**(-4)*s)))*s)*(s*s*s*(s*s\/(s*s**(-2\/3)\/s)*s)\/s*s)**(-45))**(-2\/47))**(-23\/4) assuming s is positive.\nAnswer: s**(-10580\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 172806*r**2 + 172817*r**2 + r**3 - 6 - r as m + i*r**2 + a*r**3 + c*r and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -41. Suppose 0 = -4*l - h + 12, 0*h = 3*l + 5*h - w. Calculate the remainder when l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**3 + 12*d**2 - 19*d - 4. Let y(v) = 28*v**3 + 61*v**2 - 95*v - 19. Let p(k) = 11*g(k) - 2*y(k). Is p(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**6\/240 - p**4\/6 - 2*p. Let g(m) be the third derivative of h(m). Let a(i) = 2*i. What is a(g(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2738.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21020311 - -100113?\nAnswer: -20320132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (7 - 65) - 4 - (-3 + 13 - 12).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (495\/195)\/11*(-1 + -1)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 9, -26, -77, -150, -251?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = h + 2*h + 30, -4*h = v + 40. Let b = h - -5. Let j = b + 6. Let r(q) = -q**2 + q. Calculate r(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314240995 to the power of 1\/4, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + -110110?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.6 - 15.6. Let a = w - 8.5. What is a rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from zyyjyryzydryzrz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4\/3))\/(l*l\/(l\/(l\/l**1)))*(l*l**3\/l)\/(l*l**(-1))*((l**(-7)\/l*l)\/l**(-6))**(4\/5) assuming l is positive.\nAnswer: l**(53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000102547 to seven dps.\nAnswer: -0.0001025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -20, 3 in ascending order.\nAnswer: -20, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 45*w - 53. Calculate g(-46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2 - (-1 - -2)*1. Suppose -4*t + 3*c + 26 = u, 0 = 4*t + t - 2*c - 36. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1096\/89 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 74985, 36, 5\/3?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.596 litres in millilitres?\nAnswer: 196596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 4 - -2 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1 - -2) + -158)\/(1715\/(-84035))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*o - 32*o - 11*o**2 - 36*o as x + z*o + k*o**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2.5 (b) -10\/17 (c) -1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 1020*d**2 + 73632*d - 1058224.\nAnswer: 4*(d - 118)**2*(d - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*s - 3. Let q(x) = x**2 + 7*x - 18. Let v be q(-9). Suppose -c = 5*c - v*c. Solve -3*z = -c*z - s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 14*p + 3. What are the prime factors of c(-10)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 10 = 18, 5*w - 292950 = 5*m. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 19 = 0, -6*z - 1601 = 4*m - 4*z - 1623 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*f - 28, -2*f + 22 = -a - 9. Suppose -17*i + 10 = -f*i. Solve -5*t + 7*t = i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 1\/6, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440\/(-1089) + 29\/9 + -3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30568*y**3 + 9*y**2 - 23768552*y wrt y?\nAnswer: 183408*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/10))**(-46)\/(((s\/(((s*s\/s**(1\/2))\/s)\/s))\/s)\/s)**20 assuming s is positive.\nAnswer: s**(-203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (240\/(-192))\/(-1 - (-2 + 2)). Put k, 1, -14, 2, -10 in descending order.\nAnswer: 2, k, 1, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17516000 rounded to the nearest 100000?\nAnswer: -17500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 1770*z + 261075.\nAnswer: 3*(z - 295)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**3\/3 + 21*w**2\/2 + 4612*w. Let i(f) = -18*f**2. Give j(i(o)).\nAnswer: 36*o**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 0.3 (c) -0.2 (d) 2\/7 (e) -2\/101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 0. Suppose b = -q, 0*i + 4*b + 4 = i. Suppose 4*o + i*w - 1652 = -5*w, -4*w = o - 413. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**4\/6 - i**3\/2 + i**2 - 6*i. Determine a(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**4\/3 - 4*k**3 - 16*k**2 - 3*k. Factor j(w).\nAnswer: -4*(w + 2)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1*1.7.\nAnswer: -3.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 5*f + 33. Let a = f + 36. Solve 2*h + 2*x + 2*x - a = 0, 3*h + 4*x - 13 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 851 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2 + 2)*(1 + 0 - 3) + 5*q**2 - 2*q**2 - q**2 - q**2 - 4*q**2 + 6*q**2 - 4 - 2*q**2 + 4 + (-2*q - 2*q + 2*q)*(q - 2*q - 5*q).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -738*z**5 - z**2 - 276*z?\nAnswer: -44280*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsolhbshohbhsssho. Give prob of sequence bls.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 171510 divided by -6\nAnswer: -28585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from qdndtcan?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (80 + -5)*-2*(-8)\/(-12)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = 0, -4*u - 2 = -x + 3*x. Let y be -3 + (-263)\/3 - x. Let v = y - -87. Put v, -2, -3 in increasing order.\nAnswer: -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ce0 (base 15) to base 11.\nAnswer: -2206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2657407791.\nAnswer: 3, 181, 4893937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15300162 and 37400396.\nAnswer: 336603564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*h = 349*h + 221 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10074846.\nAnswer: 2, 3, 17, 98773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/9932 and 37.\nAnswer: 9932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/12*2\/12. What is the closest to 0.1 in 3, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 33*x**2 - 235*x - 114. Let u be g(-23). Solve -5*c - u = -4*r, 0*r - 5*r = -5*c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2172 or 17383\/8?\nAnswer: 17383\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 3*t**2 + 2 - 3)*(46 + 4*t**2 - 46).\nAnswer: -8*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 2\/11, 2\/1623, 17\/5, -3, -2\/13, 0.4?\nAnswer: 2\/1623","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + j. Let c be 6 + 3\/(-1) + -1. Give k(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p - p + p - 303 + 268*p**5 + 108*p**5 wrt p.\nAnswer: 7520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43447838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9382665?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 3*d - 9, -73 + 54 = 5*d - n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**2 - 22*z - 1. Let d be f(16). Suppose -4*b - d*b = 7686000. Round b to the nearest ten thousand.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5832 (base 9) to base 13\nAnswer: 1c76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 1, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.261916 kilograms?\nAnswer: 8261916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59723500 and 3500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:51 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1605.7765 + 0.0076.\nAnswer: 1605.7841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 61 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -559\/4 + 138. Let f = -570 + 568. Which is smaller: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -146\/7*h**3 - 2*h**5 - 8*h + 8\/7 + 134\/7*h**2 + 74\/7*h**4 = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/10 + 636\/795. Solve l - z = 5*k - 15, 3*l + 2 = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2))**(-27) assuming o is positive.\nAnswer: o**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, -71, -318, -707?\n\"Answer: -71*s**2 + 108*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(12)\/sqrt(4) + (sqrt(15) + sqrt(60))\/sqrt(5).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101 and 404?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k + k**3 - 222 - 10*k**2 + 3*k + 467 - 234. Give n(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 28. Suppose m - 5*b = 0, 17 = -5*m - z*b - 13. Let d(i) = i + 4. Calculate d(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**3 + 1042. Let h(n) = 7*n**2 + 2. Let v(x) = 0*x**2 - 1 - 4 - 8*x**2 + 2. Let z(w) = 3*h(w) + 2*v(w). Calculate z(q(s)).\nAnswer: 45*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1. Let o be (-4 + 6)*h\/(-2). Let f(g) = -g + 3. Let x be f(5). Which is greater: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-1)\/(-115))\/((-245)\/((-40425)\/66))?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1739182.\nAnswer: 2, 83, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-5\/7)*g)\/g**(11\/4))\/(g**14*g**(-14)*g))**(-15\/2) assuming g is positive.\nAnswer: g**(1035\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/64 and -29\/30.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 906445550 to the nearest 100000.\nAnswer: 906400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0.7, -11, -1, -552 in descending order.\nAnswer: 26, 0.7, -1, -11, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 + 81 = 3*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 870 divide 8462490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 8:18 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*k**2 - 2*k**2 - 17*k**2 + 36*k**2 as t*k + m + l*k**2 and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/(-22))\/(-5) - 385\/484. What is the biggest value in 25, -2, m?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2 - 1 + 2*p**2 - 5*p - 5*p**2 - 4*p**2. Let u be (6\/(-5))\/(1\/5). Determine m(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**5 + 20090*w**4 + 24248*w**2?\nAnswer: 120*w**2 + 482160*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.133 centuries in decades?\nAnswer: 3391.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 17 + -8 + -5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -257170, -514339, -771508, -1028677, -1285846, -1543015?\n\"Answer: -257169*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 6. Let a = -7 + 2. Let z be q(a). Let o(u) = 2*u**2 + 3*u. Let y(g) = -g - 1. Let v be (1 - (-45)\/(-40))\/(17\/136). Determine v*y(k) + z*o(k).\nAnswer: -2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1604707 is divided by 5711.\nAnswer: 5627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -122, -340, -726, -1364, -2338, -3732?\n\"Answer: -14*h**3 - 120*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -10.18.\nAnswer: -50.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/((-4 + 125\/30)*3). Let m(g) = 21*g**2 + 13*g + 13. Let y(n) = -5*n**2 - 3*n - 3. What is p*y(w) - 6*m(w)?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 1, 46086, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118591 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 + -205. Is o\/(-3) + (-16)\/(-48) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - 8*y + 122. Let c be i(-10). Factor 0 + 16\/7*w + 10\/7*w**4 + 24\/7*w**c - 36\/7*w**3.\nAnswer: 2*w*(w - 2)**2*(5*w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 2:08 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/123 and 23\/1783200.\nAnswer: 73111200","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 730603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2175 - 2175. Let z(w) = -w**3 + 3*w - 2. Give z(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76722 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 446*t - 3221. Determine b(7).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -2\/9, -0.051, -0.1, -0.089, 0.4, -6?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23302\/15 or -1552?\nAnswer: -23302\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 563 divide 1693528539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((0 + sqrt(7) - sqrt(7)) + -5 + 4 - (1 + (sqrt(42)*1)\/sqrt(6))).\nAnswer: -3 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -968\/7 + 88\/7*i - 2\/7*i**2 = 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2646 and 315021?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*a - 56. Sort 4, a, 3, 2.\nAnswer: a, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33\/14 - -106\/7. Is a greater than or equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752 (base 10) in base 2?\nAnswer: 1011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28048, -28069, -28098, -28129, -28156?\nAnswer: -28173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyywzzywyyy. What is prob of sequence wyw?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36 + 211 + 716*v - 624*v wrt v?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 2. Let o be (3 - 2)*(g + -4). Suppose -5*n - 12 = -4*h, -5*n + o*h = -n + 6. Solve 3*y - 2*i = 18, y + 0*i + 2*i + 2 = n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 4) to base 9\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*u + 28. Calculate the remainder when 97 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 7, 2, 309.\nAnswer: -3, 0, 2, 7, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 527268198 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 106\/9 - (-32)\/144. Let t(y) = y**2 - y - 6. Let p be t(5). Solve -4*r + m = 4*u, -4*r + p = 3*u - u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(940\/8))\/(-12*((-1134)\/(-36))\/63).\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 12 + 12*r**2 - 22 - 2*r**2 - 5 - 3*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -1)\/((-40)\/14)*4000\/1750.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04034 + -143.54034. Put x, -2, 0.2 in decreasing order.\nAnswer: 0.2, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 223*t - 207*t - 144 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -6*g**5\/5 + 142*g**4 - 2324*g**3\/5 + 2772*g**2\/5 - 1382*g\/5 + 46 = 0?\nAnswer: 1\/3, 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)\/(s*s**(-2\/9)*s))\/(s\/s**0)**50*(((s\/(s\/((s**3*s)\/s*s))*s)\/s)\/((s*s\/s**(-1\/5))\/s))\/((s\/s**(1\/2))\/s*s*s*s**(2\/9)*s) assuming s is positive.\nAnswer: s**(-1049\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 + 10 + c**4 - 5*c - 2*c**2 - 2*c**3 - 8 to b + a*c**4 + j*c**2 + d*c**3 + v*c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1451700 divided by -18\nAnswer: -80650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36730542 to 4 dps.\nAnswer: -0.3673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4 - 4*s**3 - 12*s**2 + 4*s + 8 = 0. What is s?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 312 = -4*d. What is the remainder when d is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154 less than 1148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16560.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1\/2, 0.2, -1, 144?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + y = -26 + 38, 10*u - 4*y = -90 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 2*v = -45. Sort 6, v, 3, 0 in decreasing order.\nAnswer: 6, v, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 9 = -3*y, 913 = -4*y - 4*s + 933 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((3\/42*-8)\/(180\/126))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -77. Suppose -21*x = -a - 324. Calculate the remainder when 225 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10951, 21849, 32691, 43477, 54207, 64881, 75499?\n\"Answer: -28*d**2 + 10982*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4484\/8968)\/((-2)\/156)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**7*h*h)\/h**(-1\/10))\/(h**(15\/4)*h)**48 assuming h is positive.\nAnswer: h**(-2179\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2 - 6 = 0. What are the prime factors of 26 + (-2 - o)\/(-1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4078, 4219, 4448, 4759, 5146, 5603, 6124?\n\"Answer: -a**3 + 50*a**2 - 2*a + 4031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 174*x**2 - 1256*x - 176. Calculate h(7).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 0.5 (c) -5\/2 (d) 332\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + b - 258, 3*u - 132 = 2*u + b. Let q = -77 + u. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 16*s**2 - 8 + 3*s - 7*s**2 - 14*s + s**3. Give t(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/68*340\/(-60)*3\/(27\/(-372)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/99 and 23\/3184335?\nAnswer: 3184335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**5 + 5436*l**3 + 3*l**2 - 2160?\nAnswer: -120*l**2 + 32616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21461 (base 16) in base 8?\nAnswer: 412141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5892325\/109 < 54058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 5 - 4*n**2 + 0*n**3 - n**3 + 2*n**3. Let w(b) = -4*b**3 + 18*b**2 + b - 14. Let k(q) = 7*i(q) + 2*w(q). Determine k(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.208 + -7.8. Round u to two dps.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36071*s**3 - 35926*s**3 - 36040*s**3 + 108472*s**3.\nAnswer: 435*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 150*m - 531 wrt m.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 3*b + 2. Let q = -12 - -15. Suppose 2*j - q = 11. List the prime factors of z(j).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 223 + -220. Suppose 0 = -2*z - 3*f + 282, 4*z - 291 = -l*f + 285. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -1.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*i = 6 - 3, -2*w = -2*i - 14. Find the second derivative of 3*n - n - n**3 - w*n**3 + 5*n wrt n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**3 + 17*h**2 - 7*h - 7. Let f(o) = o**3 + 6*o**2 - 2*o - 2. Give 14*f(k) - 4*w(k).\nAnswer: 2*k**3 + 16*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3967 - 3511. Solve -m + 447 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 + 12*v + 2*v**2 - 8*v - v**2.\nAnswer: -7*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5))**(-1\/60)\/((((w*(w\/w**0)\/w)\/w)\/w)\/w*w*w**(-1\/2)) assuming w is positive.\nAnswer: w**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*r = -78 + 80, 4*s + 4*r = -16. What is the greatest common factor of s and 768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2. Let g(j) = -13*j - 4. Let i(p) = -27*p - 7. Let o(q) = -7*g(q) + 4*i(q). Determine o(b(w)).\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14620 and 680?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-5) - 1143\/45. Let z = -79\/3 - i. Let w = 67 - 63. Which is the fourth biggest value? (a) 3 (b) 0 (c) w (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 10 + -6 - (11 - -1 - -14)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25159, 25187, 25215, 25243, 25271, 25299?\n\"Answer: 28*f + 25131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*h + 57522 = -46834, 3*h + 34790 = p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s*s*s**(2\/7))\/s)\/s)*s)**7*(s*s\/s**3)**(2\/85) assuming s is positive.\nAnswer: s**(1018\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -14*z**3 + 2*z**2 - 5*z - 7. Let p(x) = -7*x**3 + x**2 - 2*x - 3. Calculate 7*p(n) - 3*r(n).\nAnswer: -7*n**3 + n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:06 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.61124 + -3.62. What is i rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 3*u - 2. Suppose -10 = -4*j + j + 4*a, 0 = 3*a - 6. Suppose 4*o + 2*y = -30, 0*y + 3*y + 27 = -4*o. Let r = j + o. Give g(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**7\/420 - m**5\/20 - 3*m**2. Let q(p) be the third derivative of j(p). Let n be q(1). Solve n = 4*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 947008230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*x + 220*x - 220*x.\nAnswer: 180*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-50)\/(-700))\/(3\/6)*-1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 a factor of 3270388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 28. Let k = s + 12. Is k < -10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6517 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(28)\/sqrt(4)))\/((sqrt(63)*2)\/sqrt(7) + sqrt(9) - sqrt(9)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 6:29 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*j + 3*j + 925, 3*j = 4*s - 555. Let h = j + 242. Calculate the remainder when 109 is divided by h.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 37 - 17 = 0. What is the smallest common multiple of y and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 316 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 8924?\nAnswer: 7\/8924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6647\/27730 - -101\/235. What is the common denominator of -87\/2 and b?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by -25.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28588623?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8850, 294 in descending order.\nAnswer: 8850, 294, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2 - 10497835*n + 20995650 = 0 for n.\nAnswer: 2, 2099565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + 2*sqrt(132))*6 + sqrt(132) + sqrt(132) + 5*sqrt(132)*-1 + sqrt(132))\/(sqrt(189)\/(1*sqrt(7))).\nAnswer: 32*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -5*b + 3*i, -14*i + 39 = 2*b - 19*i. Suppose 0 = -4*p - d + 26934, -13464 = -14*p + b*p + d. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/(107\/(25466\/(-68)))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5395474l?\nAnswer: 539.5474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1475630 - -2555630. What is s rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -44*k**2. Let h(p) be the third derivative of p**4\/12 - 7*p**2. Give b(h(t)).\nAnswer: -176*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 times -0.01\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 924, 6, -4, 4 in increasing order.\nAnswer: -4, -2, 4, 6, 924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o**2 - 3*o**2 + 57*o**2 - 31*o**2 - 5*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 12:49 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-596)\/10 - (-6)\/(-15). Let v be (-4)\/14 - 1348\/(-14). Let k = s + v. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 7*g + 1. Let j = -80 - -75. Calculate y(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000101 + -11?\nAnswer: -11001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.709 - 0.209. What is the second biggest value in 0.09, 3\/2, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**4\/24 - 2579*m**2. Let j = 8 - 14. Calculate h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 1792*u - 1788.\nAnswer: -4*(u - 447)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 2*j - 4*j = 0, 2*j = 4*d - 17 + 27 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*1*6)**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 51311, -5, 0.3, -0.01, 0?\nAnswer: 51311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53374 (base 9) in base 13?\nAnswer: 130b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c - c**5 + 2*c**5 + 2*c + 7*c**3 - 7*c**3 - 6*c**5 - 3*c + 2*c**5 + 3*c - 2*c**5 + 3*c**5 - 2*c**5 + (4*c**3 - 2*c**3 - 3*c**3)*(-2*c**2 + 0 + 0).\nAnswer: -2*c**5 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**5\/10 + 5*f**3\/3 + 21*f**2 + 21*f + 59. Let x(n) = -n. What is -r(h) - 10*x(h)?\nAnswer: 2*h**3 - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -443 - -448. Let r be -10*(26\/65)\/((-12)\/i). Sort r, 0, 0.167 in ascending order.\nAnswer: 0, 0.167, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(11) - sqrt(11)*-2) + -5 + (sqrt(17) - (-4*(-1 + sqrt(17)))**2) + -2.\nAnswer: -295 + 100*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = k + 4*k. Let o(n) = -n**3 + 6*n**2 + 10*n - 5. Suppose 29 = 3*t + 4*i, 5*t - 2 = 2*i + 29. What is the remainder when o(t) is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**4\/12 - z. Let y(u) = 60 - 60 + 4*u**2. Determine y(p(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60527?\nAnswer: 60527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1858316 by 3.\nAnswer: -1858316\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -17 + -11 - (-8 - 4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3582 divided by -398?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9075*n**3 - 81893460*n**2 - 5955852*n - 108288 = 0. Calculate n.\nAnswer: -9024, -2\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -22*a**2. Let z = 138 - 139. What is q(z)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2 - 10 = 0. Suppose -k*v = 2*v - 232. Suppose 3*g + 17 = -4*m + 112, 0 = 2*m - 2*g - v. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from klkyjjjljl.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 5*i + h, 2*i + 717 = -2*h + 695 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 498743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22012 is divided by 10844?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -15, -94 in decreasing order.\nAnswer: -15, -26, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -15. Suppose i - g*o - 9 = -3*i, -5*o = 3*i - 33. Suppose 4*k + 5 - 21 = 0. Is i less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -8\/9 (c) -27 (d) 0.05 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1867 + 1872. Suppose -5*l - 2*w + 3 = -1, 0 = -3*l - 5*w - 9. What is the closest to l in x, -0.09, -1\/4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 0.3 (c) -16\/7 (d) 358\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/85)\/(-2*3\/(-150)*-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -43 + 120 + -39.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*b - 1, -3*q + 125 = 2*q + 5*b. Let i = -5 + 12. Calculate the highest common factor of q and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmf when three letters picked without replacement from {f: 19, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 s, and 1 z when four letters picked without replacement from {s: 2, z: 7, t: 1, w: 2}?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/sqrt(4))\/sqrt(4) + (-6*(sqrt(13) + 1))**2.\nAnswer: 73*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -17 + ((-24)\/40)\/(6\/(-50)). Let f be 12\/(-9) - (-8)\/w. Which is the nearest to -13? (a) f (b) 3 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*d**2*l + 2*b**3*d**2 + 6*b**3*d*l - 2*b*l + 23*d**2*l + d wrt d.\nAnswer: 4*b**3*l + 4*b**3 + 46*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9609346ug to grams.\nAnswer: 0.0000009609346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((6*(2 + sqrt(192)) - sqrt(192)) + sqrt(192))*1 + -2))**2*6.\nAnswer: 144000*sqrt(3) + 1051800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5\/2 + 3*x**4\/2 + 84*x**3 + 216*x**2.\nAnswer: -3*x**2*(x - 9)*(x + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/(32\/72)*(-3800)\/570?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 215641856?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and -354.822.\nAnswer: -6386.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -358.00809 + 358. What is f rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/546 and -15\/7.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1859 or 4?\nAnswer: 0.1859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45973*t**3 - 17860*t + 2 wrt t?\nAnswer: -275838*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-2)\/(-6 - -4). Solve -5*j - l*k + 10 = -2*j, -j + 2 = 2*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -2 (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.903 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -457954*c + 2289779. Give d(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -277 + 483. Suppose -s + 761 = 15*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -17*g. Let k(y) = 483*y**2. Calculate d(k(x)).\nAnswer: -8211*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, 17, 12, 7, 2?\n\"Answer: -5*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 4:19 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 - -1513?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2 - 11 + 4*a - 2. Let t be w(8). Solve 0 = i + 4*i + 4*c + t, -4*i = 3*c + 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 12*b - 15. List the prime factors of c(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -122. Suppose -5*t + 16 + b = 4*r, 3*t + 28 = 2*r. Suppose -r - 578 = -2*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 7*g**2 - 8*g - 5. Calculate o(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-91*(-3)\/(-156)*-20.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*z + 22*z - 35*z + (1 + 0 + 1)*(3 - 3 - 2*z) to the form y*z + u and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -491 - 4341.35\nAnswer: -4832.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 7 - (44 - 31)) + -8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n**5 + 389*n**4 - 10021*n**3 + 31711*n**2 + 210100*n + 45012 = 0.\nAnswer: -62, -3, -2\/9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. Suppose -r*g = g. Suppose g = z + z - 838. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3495 - -3495.0007328. Round j to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/468 and -105\/2704?\nAnswer: 24336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 - 124. Let f(s) = -s**3 - 2*s**2 + 5*s + 2. Let g be f(-5). Is (g\/3)\/(2\/j) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 + f**5 + 3*f**4 + (2*f**4 - f**4 - 2*f**4)*(4*f - 3*f - 2*f) + 0*f**5 - 2*f**5 + 3*f**5 + (-2*f**4 + f**4 + 0*f**4)*(-1 - 2*f + 1).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (12 + -15 + 8)) + (-22 - 8) + -3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12402100 is divided by 101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 105615260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -3*f - 3763 + 3776, -8*w = -3*f + 43 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5961339 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-107 - -93) + 12 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaj when three letters picked without replacement from avjj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*a + 1234 = -1211 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86.001 - -86. Is s greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 33.7. Let o = 2084.1 - 2083. What is the second smallest value in p, -0.3, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a*a*a**(-2\/23)\/a)\/a))\/a*a**(1\/4))\/(((a**(-8\/3)*a)\/a*a*a)\/((a*a**0)\/a)))\/((a**(-1))**(-11\/5)*(a**4*a)\/((a**(1\/12)*a)\/a)) assuming a is positive.\nAnswer: a**(-703\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(0*h - h - h)*(-h + 0*h - h) + 48 - 47 + 35*h + 8*h - 3*h**2.\nAnswer: -11*h**2 + 43*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 12*z**2 + 5*z + 6. Does 51 divide w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/88 and -101\/952.\nAnswer: 10472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 0, 3, -152, -5, 1 in decreasing order.\nAnswer: 5, 3, 1, 0, -4, -5, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/5 - 5930*w**2 - 2*w\/5 + 5930 = 0. Calculate w.\nAnswer: -1, 1, 14825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 1\/4*o**5 - o + 0 + 0*o**2 + 0*o**4 - 2\/3*o**3. What is the second derivative of i(w) wrt w?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**7\/280 + c**5\/120 + 2*c**3\/3 - 4. Let s(y) be the third derivative of l(y). Find the second derivative of s(v) wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5*(sqrt(36) + sqrt(144)\/sqrt(4) + sqrt(36)))\/(-5*-4*(sqrt(48) - sqrt(3))))**2.\nAnswer: -sqrt(3) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002741948 to six dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 471*w**2\/4 - 2925375*w\/4 - 18633\/2.\nAnswer: 3*(w - 6211)*(157*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5537, 5489, 5447, 5411, 5381, 5357?\nAnswer: 5339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 189*n - 186.\nAnswer: -3*(n + 1)*(n + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 36*w**2 + w - 20. Let f be l(36). Solve -12*z - 20 = -f*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 - 4*m**5 + 3*m**5 + (1 + 2 - 1)*(1 - 1 - 2*m**5).\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10544 and 14967360729.\nAnswer: 14967350185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/14*(-7)\/2. Let s(a) = a**l + 2*a**2 - 6*a**2. Let m(k) = -k. Calculate s(m(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ffsnbdbnnddbfbnbnffb.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 351315 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**6\/51 - 6*c**5\/85 + 3*c**4\/34 - 2*c**3\/51 - 5. Factor x(l).\nAnswer: 2*l**2*(l - 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26772 and 2641116.\nAnswer: 60745668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-10) - 484\/176\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-1))\/(-5 + 3). Let a(h) = 2 - 6 + 5 - k - h. Give a(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*h - h - 3*b, 3*h + 2*b - 43 = 0. Is h smaller than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-55)\/(-8))\/(5\/(-20)). Let n be 5 + (-2 - -14)\/4. Let i be (-217)\/n + 8\/64. Is i less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.997101 nanometers in meters?\nAnswer: 0.000000007997101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 3:40 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*o - 3\/8*o**3 + 1\/8*o**2 + 0 - 5\/8*o**4 - 1\/4*o**5.\nAnswer: -o*(o + 1)**3*(2*o - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.4, -3, -1.\nAnswer: -3, -1, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-208)\/130)\/((-33)\/(-264))\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/155 and -31\/7970?\nAnswer: 247070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -990*u**4 + 5669*u**3 + 48838*u - 1.\nAnswer: -11880*u**2 + 34014*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032500 rounded to the nearest ten thousand?\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2. Let v(z) = -z - 1. Let f(q) = -5*q - 4. Let y(c) = 6*c + 4. Let h(p) = 2*f(p) + 3*y(p). Let g(k) = h(k) + 4*v(k). Determine j(g(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1190 + -11919\/10. Calculate the common denominator of k and -39\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100001011010000 + 100?\nAnswer: -10100001011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/5 in 0, 1.3, -168, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 10:43 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, n: 2, a: 5, u: 6, i: 1}. Give prob of picking 3 a and 1 i.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -23*w**3 + 15*w**2 + 6*w + 6. Let r(c) = 90*c**3 - 60*c**2 - 25*c - 25. Let y(i) = -6*r(i) - 25*x(i). Factor y(n).\nAnswer: 5*n**2*(7*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3 - (-112)\/24. Solve 2*c**r - 3*c**2 + 8 - 11*c**2 + 6*c**4 + 2*c**3 - 4*c**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390628 divided by 347657?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1385 divided by -18\nAnswer: 1385\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a - -4252328?\nAnswer: 4252309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + f - 4. Let c(q) = q**2 + q - 1. Determine 3*c(h) - l(h).\nAnswer: 4*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 1. Let i be v(-1). Let u(p) = -p**2 + 3*p + 0 + 2*p - 3. Let o be u(i). Put 2, 1, o in decreasing order.\nAnswer: o, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15600 - -81072\/5. Is a less than or equal to 613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10200142 (base 5) to base 6\nAnswer: 1450502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6786*f**2*z**4 - 3*f**2*z**2 + 22*f**2*z - 7*f**2 - z**4 wrt z?\nAnswer: -162864*f**2*z - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 453 - 319. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -251 - -250.9762. What is q rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/15*987\/(-4277). Let r be (-4)\/((-12)\/(-63)) + 2. Let g = r - -11. What is the third biggest value in g, 1\/4, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3 + 11*s + 6*s - 100*s**2 + 105*s**2 - s**3. Let f = -25 + 39. Calculate the remainder when l(7) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77980 is divided by 73400.\nAnswer: 4580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255 + 55 = 22*p + 18*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 6:15 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 - j**3 + 3*j + 2*j - 6*j in the form c*j + a*j**3 + u*j**2 + h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -26. Let t = 26 + a. Let p = -6.6 + t. What is p rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Let w be 49\/2*56\/98. Let u(n) = 1 + w*n + 1 - 9 + 2. Let k(i) = -5*p(i) - u(i). What is the derivative of k(s) wrt s?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 67*w**2 + 5*w + 946. Calculate o(-67).\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-9))\/(76\/57).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 4, a: 5, n: 5}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h*n**4 - 14*h*n**3 + 2*h*n**2 + 5*n**2 - 5*n wrt n.\nAnswer: 48*h*n - 84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -123 + z**2 - 113 - z + 218. Let y be n(-4). Let u be (506\/55)\/(y\/50). Round u to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21080 rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71.557 or -4.81?\nAnswer: -4.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 816 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33503 + -33514. What is the fifth smallest value in 2\/9, 39, -2, 0, i?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*w = 9, 2*k - 26 = -w - 3*w. Suppose -k*y + 2*y = 6. Let x = -3 + -1. Does x = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/(-221) - 572\/(-2550) and -79\/30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b**2 - 16*b**2 - 15*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/10 + 2\/10. Let k = r - 2. Let c(u) = u**3 + 3*u**2 - 7*u - 6. List the prime factors of c(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1622 minus -524?\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2851 divided by -59.\nAnswer: 2851\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 40*x + 39*x - 124*x + 42*x + 44. Suppose 5*c - 4*f = f + 85, -4*f + 49 = 5*c. Let k be z(c). Solve 0 = 3*v - 0*u + 3*u - 18, -4*v + 6 = -k*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 670*k + 29 + 296*k - 13.\nAnswer: 966*k + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + 7. Let n = 24 + d. Let g = -48.0000228 + n. Round g to 6 dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688115083 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/3)*d**5)**34*((d**(-2\/3)*d)**16)**(15\/8) assuming d is positive.\nAnswer: d**(710\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.592 + -0.4.\nAnswer: 1.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4. Suppose b + 23 = -5*w - 0*b, w - b + 1 = s. Let i = w + 25. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 443*y - 120 - 443*y + 48 + 46 - 5*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -9*b - 150, -2*b + 5*b + 5*d = -3316 + 3145 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97.7381 + -97.8. Let q = h + -0.1381. Let s = -1401\/10 - -140. Which is the closest to 7? (a) q (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 3\/18145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155481781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u - 323 = -9*u. Let q be (-13)\/26 + u\/(-2). Let g = 165 + -93. What is the greatest common factor of q and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*o = 12, -5*f + o + 20 = -4*o. Calculate the remainder when (1\/f)\/((-1)\/(-123)) is divided by (22\/(-8) + 2)*-28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.21209 nanometers in centimeters?\nAnswer: 0.000009921209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657814417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 18 = -63. Suppose -480 = -29*t + q*t. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from epppbpbpbbpbpppbpbpp.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -25\/2*j**4 + 0*j + 1\/4*j**6 - 2*j**2 - 1\/42*j**7 - 250\/3*j**3 - 47 + 11\/12*j**5. Factor u(c).\nAnswer: -5*(c - 5)**2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*b**4*v - 2*b**3*v**2 + 49*b*v**2 + b*v + 2 wrt b?\nAnswer: 756*b**2*v - 12*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 10*k + 120. Let a be n(16). What is the second smallest value in 3\/8, 2\/3, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {j: 6, e: 3, v: 4, n: 2, y: 3}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360) + sqrt(360)*2*5 + 1*sqrt(360)*-4)\/(sqrt(48)\/sqrt(6)*6 - (sqrt(168)\/sqrt(7))\/sqrt(3)).\nAnswer: 21*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2853130, -5706312, -8559498, -11412688, -14265882, -17119080?\n\"Answer: -2*t**2 - 2853176*t + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 19, -2 in ascending order.\nAnswer: -2, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p - 30. Let v be l(6). What is the tens digit of 1 + 85 + v\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3357 (base 10) to base 9.\nAnswer: 4540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {d: 2, h: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n + 2*n - 6*n)*(-1 + 1 - 3) + (2 + 0 - 1)*(0*n + n + n) in the form u + z*n and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:42 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*s, -15*h - s - 3872 = -17*h. What is the remainder when h is divided by 68?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 22, 99*w = 32*w - 7*s + 6*s - 257 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5519? (a) -0.1 (b) -19\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-88 - 117 + 25)*(0*r + 0*r - 2*r**2) + (-5 + 3 + 3)*(-3 - 4*r**2 + 3).\nAnswer: 356*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8 = 4*w - 10, 5*k + 10 = 4*w. Suppose 0*y = -y, 0 = 4*z - 2*y - 20. Suppose z*b = k*b. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, c: 1, t: 8, e: 7}. Give prob of sequence tcqe.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x - 5*x - 26 + 3*x + 0*x to j + y*x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 2548115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1600*u**4 - 1180 + 1389*u**4 + 285 wrt u?\nAnswer: -844*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 4*p - 1. Let j be i(-2). Let q = -4 + 1. Which is the closest to 2? (a) q (b) -4\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20819408.\nAnswer: 2, 293, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -39093*q + 273285. Give s(7).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 68055200 to the nearest 100000.\nAnswer: 68100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.998 - -55.992. Let o = d + -66. Let n = 3 - 2.5. Sort 0.06, -3, o, n in decreasing order.\nAnswer: n, 0.06, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -14, -4, -3 in descending order.\nAnswer: 20, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0203 take away 1963005146115?\nAnswer: -1963005146114.9797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*u = 45*u + 54374. Round u to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17)\/(4 - (2 + 1)). Let x(p) = 3*p**2 + 29*p + 13. What are the prime factors of x(i)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -9)*(-2)\/4. Let m(r) = 6 + 0 + 0 - i + r. Determine m(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/21 - 1744\/(-84))*3. Suppose -w + 6*w + 3*u = 106, 2*w - u = 38. Suppose 3*b - o = 3*n + 146, 4*n - w = 0. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -14. Let f = g + -5. Factor -4*m - 14 - 4*m**2 + f + 4*m**3 + 13.\nAnswer: 4*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10980.157 - 223898.\nAnswer: -212917.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(((-3)\/66)\/(-1)). Suppose 0 = -3*k + 8*k. Suppose -2*p + 11 - 1 = k. Solve 5*c - 2*f - f = l, p = 2*c - 5*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.036 + -0.0128. Let k = -0.048801477 - w. Round k to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*a**2*b**2 - 2*a**2 - 170*a*b**2 - 43*a + 494 wrt b.\nAnswer: -76*a**2*b - 340*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*h + 8 = 0, 2*j + h + 13 - 4 = 0. Let g be 3 + j + (4 - -1). Suppose 2*z = -g*b + 254, 4*z + 0*b = b + 526. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5794908?\nAnswer: 2, 3, 7, 149, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, e: 1, g: 2, y: 7}. Give prob of picking 1 e and 1 i.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33891912 or -33891909?\nAnswer: -33891909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 55, -3748*c + 5*m - 58 = -3751*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16.34545 + -657\nAnswer: -673.34545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2718.306m to millimeters.\nAnswer: 2718306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -4 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 18368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -z + 12, -4*z - 3 = -3*z. Let k = -5 - -7. Suppose k*y = -y. Put y, 4, x, -4 in decreasing order.\nAnswer: x, 4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4514.175 months in millennia?\nAnswer: 0.37618125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 39013.\nAnswer: -39013.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 14. Is 1 + 1 - (w + -251) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 7*y + 390 = -20*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 1563863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/8 of a week?\nAnswer: 483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150*a**2 + 14182*a + 306952.\nAnswer: 2*(a + 61)*(75*a + 2516)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**8\/840 + i**4\/8 - i**3\/2 - 3*i**2. Let a(h) be the first derivative of k(h). What is the first derivative of a(v) wrt v?\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) -5785 (c) -2\/3 (d) -1641 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 23 = -4*h, -2 = h + r - 7. Suppose h*x - 55 = -3*v, -62 = -4*v - 2*x + 14. Is v*((-4)\/6 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66 - -93 - 22) + -44 + (1 - 2)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*u + 13*u. Let l be (-2)\/(-52)*(-11 - (-1 - 6)). Sort -1\/9, l, u.\nAnswer: u, l, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((3*(sqrt(660) + (sqrt(660) - (sqrt(660) + 1*sqrt(660)))))\/sqrt(11))\/(-2*sqrt(1728) - (sqrt(192) - sqrt(48)))*1)**2*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105195193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.7 (b) 2\/5 (c) 0.2 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476726678.\nAnswer: 2, 3, 7, 11720053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j = 78. What are the prime factors of (-2)\/(-4)*-6*j + -3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36599, -73197, -109795, -146393, -182991, -219589?\nAnswer: -256187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*n**2 - n**3 + 9*n**4 - 2 - 4*n**4 + 2*n + 51*n**2 - 4*n**4 - 199*n**2 to the form z*n + v*n**2 + k*n**4 + b + t*n**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 9, i: 11}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from cxcccxccxxcxxccx.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 15 = 8*y. Solve h = 1, -1 = c - y*h + 2*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 = 2*c + 5*h, -8 = 2*c + 4*h. Let y(i) = 11*i**2 + 41*i - 3 - 10*i**2 - i**3 - 42*i. Give y(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**5 + 50*n**4 + 135*n**3 + 90*n**2 = 0 for n.\nAnswer: -6, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-58))\/((-116232)\/(-20184))?\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -831218052*b**4 - 1336966544*b**2?\nAnswer: -19949233248*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*-83.4.\nAnswer: 3169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*g + 564*g - 802*g + 766*g + 126*g.\nAnswer: 859*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 15. Let z be d(5). Put -5, 1, z in increasing order.\nAnswer: -5, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4468 is divided by 327.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3827*m**2 - 1918*m**2 - 1910*m**2. Let i(d) = 995*d. Determine l(i(n)).\nAnswer: -990025*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0841 - -3.8259. Let c = -1.6 + 1.69. Let p = d + c. Sort 1, p, 0.3 in increasing order.\nAnswer: 0.3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/44221 + 132691\/309547. Solve -g*f**3 + 24\/7 - 24\/7*f**2 + 3\/7*f = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11636, 23225, 34752, 46223, 57644?\nAnswer: 69021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-256))\/((-528)\/704)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(72)\/sqrt(6)*-3).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/45)\/(1\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*m + 2936 + 5241 = 0 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1414, 3364, 5314, 7264, 9214, 11164?\nAnswer: 13114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*a - 74*a + 44*a)*(-1 + 2*a**2 + 1).\nAnswer: 58*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 60)\/(-11*40\/110).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7682357 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 31 = 4*o, 0*o + o - t + 1 = 0. Suppose 0 = 3*d - 58 - 272. Suppose f + o*f + d = 0. What is the common denominator of f and 48?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7)\/(p*p**(-7))*(p\/((p\/((p*p\/(p*p\/p**(-7)))\/p))\/p))\/(p**(-5)*p))\/((p*p\/(p\/((p**(1\/6)*p)\/p))*p*p)\/p**1)**(32\/7) assuming p is positive.\nAnswer: p**(-151\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.46 in -5\/4, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uh when two letters picked without replacement from jnunhvjev?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, -2, 0 in decreasing order.\nAnswer: 0, -2, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -216*k*o**2*x**2 + 2*k*x**3 + o**2*x**3 - 143*o*x**3 wrt k?\nAnswer: -216*o**2*x**2 + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 250*x**5 - 2*x**4 + 95095*x**3 - 2710152*x**2 - 9 wrt x?\nAnswer: 15000*x**2 - 48*x + 570570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 376263667 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/105)\/(3\/2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44224 is divided by 3101.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/(-12) + -4)\/(-3). Which is smaller: -1\/12 or j?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((2\/(-1))\/(-4)). Let k = 80 + -73.2. Let s = -7 + k. Which is the closest to -1\/4? (a) 1 (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6777*s**3 - 6787*s**3 + 13559*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/81545 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((41 - 22) + -42) - -20?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s + 12. Let c(u) = 15*u + 268. Let p be c(-18). Let g be a(p). Solve -g*z = 5*q + 14, q + z + 7 = -4*z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = 610*q - 586*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2\/4 + 3840*n = 0.\nAnswer: -3072, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*g**3\/7 - 964*g**2\/7 + 16*g\/7.\nAnswer: -2*g*(g + 4)*(121*g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Let n be (0 - 2\/1)*-1. Suppose -3*a + 46 = -n*l, 0 = -5*a - 5*l + 2*l + 45. Solve -2*c - a = 4*u + b*c, 5*c = -u - 23 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212012222 + -1?\nAnswer: -1212020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 188 + -208. Does 22 divide (i\/(-6))\/((-56)\/(-1428))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44d - -5b?\nAnswer: -3e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 1703072.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 52140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3474933299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 156\/(-15)*-1 - (-4)\/(-10). What is the greatest common factor of 40 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 9\/1547875?\nAnswer: 9\/1547875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1797.14*-0.0227\nAnswer: -40.795078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 - 3*b**4 - b**4 + (-1 - 2*b**2 + 1)*(-6*b**2 + 4*b**2 + 0*b**2) + 91*b**4 + 4*b**4 + 8*b**4.\nAnswer: 105*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1482.6 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -194\/3523 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106.31907 + 0.31107. Let h = o + 0.008. Let i = h + 106.000134. Round i to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 39*t**2 + 120*t + 20. Does 9 divide n(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711208084.\nAnswer: 2, 10691, 16631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 84\/(-3)*(1 + (5 - 7)). Let q(w) be the second derivative of -w**4\/12 + 5*w**3 - 35*w**2\/2 - 14*w. What is the units digit of q(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -17306.\nAnswer: -17306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -33. Let y = d + -2. Suppose 0 = -2*i + 6*k - 9*k + 14, 0 = i + 4*k - y. Solve i = -4*f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -14, 3\/835, 0.4, 0.5 in increasing order.\nAnswer: -14, -0.4, 3\/835, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2975961935 to the power of 1\/3, to the nearest integer?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -9, 3, -3\/5, 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*s - 8*v - 1134, 0 = -2*s - 2*v + 1134. Does 27 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(19)*2*6 - sqrt(76)\/sqrt(64)) + (3*(sqrt(19) + 2*sqrt(19)) + 5*(1 + sqrt(19)))**2.\nAnswer: 515*sqrt(19)\/4 + 3749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*(sqrt(128) + -3*sqrt(128) - sqrt(128)) + sqrt(128)))\/(sqrt(576)*2 + sqrt(144) + sqrt(144)*2).\nAnswer: 40*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 0.3, -580, -8605?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48048 by 3.\nAnswer: -16016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 838.8 + -839. Which is the third biggest value? (a) i (b) 1\/2 (c) 1\/94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 167902.124 - -1.\nAnswer: 167903.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4738 and 1792068.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330, 328, 326, 324?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77560127 by 163.\nAnswer: -475829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/7 + 408*p**2\/7 + 10713*p\/7 - 214812\/7.\nAnswer: 3*(p - 13)*(p + 68)*(p + 81)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2026 - 5?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**1*f**(1\/2)*f**(-1\/6)\/((f*f\/(f\/(f**(-2\/5)\/f)))\/f*f) assuming f is positive.\nAnswer: f**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**3\/6 + n**2\/2 - 3*n. Let y(k) = 7*k + 5. Let a(z) = -z**3 + 3*z**2 + 4*z + 1. Let h be a(4). Give h*y(w) - 6*v(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/30*18\/2. Solve -2*p = -2*y - 6, 0*y - 1 = -c*p + y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 783*q - 723*q = 1020. Calculate the remainder when 101 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c. Suppose 2*b - 114 + 21 = 3*o, 0 = 3*b + 3*o - 162. Let z(r) = b + 28*r - 465*r - 108 + 57. Determine k(z(d)).\nAnswer: -874*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*h = -128*h + 329*h - 113*h - 1500 for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 <= 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1266250 to the nearest integer?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 0)*(3*q + 0*q - 5*q) - 3*q - 4*q - 3*q - 12 - 15 - 1984*q - 25 + 62 - 10 as p*q + s and give p.\nAnswer: -1998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4579965?\nAnswer: 3, 5, 13, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7026 - 7028. Which is the nearest to o? (a) -3 (b) 0 (c) -5.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbdldggdbb. What is prob of picking 1 g, 2 b, and 1 d?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18871 and 10855?\nAnswer: 1226615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -203680 and -62.\nAnswer: -203742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18831 - -18830.838. Which is the nearest to -7? (a) 0.1 (b) w (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -18 - 7. Let p = 35 - 19. Let k = p + -8. Calculate the remainder when k is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-311*y - 46572 + 46572)*(y + 4*y - 3*y)*(-2*y + 4*y + 0*y).\nAnswer: -1244*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002066 to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2548 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81 - -69)*(-9 - -13)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/11924 + 267\/47696. Sort c, 1\/11, 0.4 in decreasing order.\nAnswer: 0.4, 1\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 27*m + 180. Determine a(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -8. Let x be 4\/h + (-8)\/(-3). Differentiate x - f + 4*f - 2*f with respect to f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r**2*u**2 + 15569*r*u**2 - 43*u**2 - u + 6 wrt r?\nAnswer: -2*r*u**2 + 15569*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23788148 and -1.\nAnswer: 23788148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 - -3.08. Let t = 3824\/3 + -33991\/24. Let c = t + 142. What is the third smallest value in c, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (6 - 44) + 72?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 - 4*v**3 + (0*v**3 - v**3 + 2*v**3)*(-48 + 27 + 0).\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 r when three letters picked without replacement from chrrhrhhccrh?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*b**2 + 6*b**3 - 2*b**3 + 52*b**2.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 93. Let u = x + 32. Calculate the lowest common multiple of 42 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, -2, -1, 4 in ascending order.\nAnswer: -177, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from jjxxqjqqqxqsxq.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g + 44. List the prime factors of x(-12).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*a - 19 = 0, 2*a = -4*i + 6*a + 12. Let s(f) = 1. Let g(c) = 4*c + 6. Give i*g(o) + 6*s(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2763 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1981.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 17. Suppose -c*l = -12*l - 2. What is the units digit of (606\/3)\/(0 - 1*l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*31*1\/2. Suppose 0 = 2*q + 5*t - v, 4*t - 19 = 2*q - t. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-44)\/660*-3)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259120 to the power of 1\/2, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2117, -1070, 671, 3100, 6211?\n\"Answer: -n**3 + 353*n**2 - 5*n - 2464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -2\/2421?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 + 112. What is the third biggest value in -3, 3, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-868)\/(-1519))\/(1\/(-1) - (-51)\/(-63)*33).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 940*i**2 - i + 5. Let s be z(5). Suppose -3*p - 2*p - 20 = -5*o, 2*o + 5*p = 22. Suppose -s = -o*b + b. What is b rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 78*k + 1917. Calculate u(-27).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 596*i*m**3 - 2*i*m**2 - 1399*i + 34*m**3 - 11*m**2 - 2274*m wrt m.\nAnswer: 3576*i*m - 4*i + 204*m - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.196 and -16.\nAnswer: -17.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -395*p + 48. Let s(l) = -l + 9. What is n(m) - 4*s(m)?\nAnswer: -391*m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 9*h**3 - 309*h**5 + 170*h**4 + 79*h**4 - 741*h**2 + 618*h**5 - 312*h**5 - 498*h = 0.\nAnswer: -1, 0, 2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Suppose y*o - 3*q + 12 - 44 = 0, -3*o - 3*q + 33 = 0. What are the prime factors of (32\/(-8))\/((-2)\/o)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4877, -4881, -4887, -4895?\nAnswer: -4905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8600 and 100.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 76\/16)*3\/(-9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65390 is divided by 406?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g - 1 + 20*g**2 - 6 - 19*g**2. Calculate the remainder when 26 is divided by t(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -4. Suppose -2 = l - 85. Suppose 5*q + 2*x - 152 = 0, x + l = 2*q + r. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57190 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4097 divide 1572609559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1174331, -1174340, -1174361, -1174400, -1174463, -1174556?\n\"Answer: -w**3 - 2*w - 1174328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**5\/60 - 11*q**2\/2 - 10*q. Let x(r) be the first derivative of f(r). Let k(t) = 4*t**2. Determine x(k(v)).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0*h**5 + 7\/3*h**3 + 10*h + 0 - 1\/6*h**6 + 0*h**2 + 0*h**4. Find the second derivative of f(m) wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 3*o**3 + 3*o**2 + (-21*o + o**2 - 6*o + 7*o)*(o - 4*o + o).\nAnswer: o**3 + 40*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 18*n**2.\nAnswer: 3*n**2*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 8500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26622747?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6294, 6258, 6200, 6108, 5970?\n\"Answer: -2*z**3 + z**2 - 25*z + 6320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from mguomuggorgmggoog.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 0*m - 5*m - 3 + 2*m. Let n be c(-2). Suppose 0 = -n*k + k. Solve 2*y + a + 6 = -0*y, 5*y - 4*a + 28 = k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, a: 1}. Give prob of sequence ea.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 22. Let l(m) = 8*m**3 + m**2 - m. Let d be l(u). Calculate the highest common divisor of 40 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150b (base 13) to base 16\nAnswer: -bed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10486*w - 104861. Let t be x(-10). Suppose -5*m - v + 0*v + 24 = 0, -3*m = -3*v. Sort t, 1, m, 9.\nAnswer: t, 1, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d + 6. Let u be f(-4). Is u\/14 + (-244)\/(-14) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.23 + -0.07. Let s = 0.7 - n. Let d = -2\/149 + -137\/894. Which is the nearest to 1? (a) 0 (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21482, 86142, 193914, 344804, 538818, 775962, 1056242?\nAnswer: 1379664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*((sqrt(1539) + sqrt(1539) + sqrt(1539)*2)*5 + sqrt(1539) + 1*sqrt(1539)*5))**2.\nAnswer: 130045500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1024057791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 440 - 3*h - 766 + 387. Give a(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 41.96. Let z = l + 4. Let k = -0.06 - z. Is 2 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + k = -8, -3*k = -2*g + g + 10. Let s = 4 + g. Let f(b) = s*b**2 + 0*b**2 - b**2 + b**2. Let y(d) = d**2. What is f(y(c))?\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -2, 1, 0.2, -3, 1\/76, -17.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2081\/2, 3, -2, -1\/3 in descending order.\nAnswer: 2081\/2, 3, 0, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -137*g + 1. Let a = -77050 - -77064. Calculate the remainder when l(-1) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 29*x - 45. Let r be b(16). Solve -d = -5, 4*q - r*d + 9 = -6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 6*q. Suppose q = -2*d - 5*u + 45, 7 - 163 = -5*d + 2*u. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 798, 1551, 2226, 2817, 3318, 3723?\nAnswer: 4026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q - 16 = -21*q. What is the tens digit of (-6)\/((-390)\/53599) + q\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 30\/593 (b) -0.3 (c) -7.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 9*z - 7. Let v be n(9). Let k = v - -15. Let y(t) = 512*t + 4. Let g be y(k). Round g to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3296*a - 316408. Give v(-96).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35477934581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(4 + (-6 - -1)). Solve -4*z + i + n = -3*z, 5*i = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -21202?\nAnswer: 21200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 1020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccxccxc. What is prob of picking 2 x and 1 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*j**3*m**3 - 8324*j**3*m**2*z**2 + 8*j**3*m*z**2 - j**3*z**2 - 15106*j**2*m**3*z**2 + j**2*m**2*z wrt m?\nAnswer: 294*j**3 - 90636*j**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/266 and 1\/601369.\nAnswer: 8419166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86362880?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(784\/572) - 3)\/(1782\/2079)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a + 4. Let x be n(3). Suppose -s + x = 3*s. Suppose -2*u = -3*m - s, -3*u - 2*m = -6*u + 18. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10823822 is divided by 40691?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-2\/11)))\/p)**(-4\/3)*(p\/p**(-5\/7))\/(p\/(p\/(p\/(p\/(p\/(p*p**8)*p))))) assuming p is positive.\nAnswer: p**(2377\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 952867 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49*(-32)\/336*18\/7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2091)\/(-164))\/((-2)\/(-8)). Calculate the greatest common factor of p and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 18 = -11*y. What is the highest common factor of y and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1320, 2634, 3926, 5184, 6396, 7550, 8634?\n\"Answer: -2*c**3 + c**2 + 1325*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52564 (base 7) in base 3?\nAnswer: -122210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 454*b*y*z - 87*b*y + 5*b + y*z with respect to z.\nAnswer: 454*b*y + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/11 - -23\/88. Let f = 0.45008 - 0.15008. Sort -3, 2, f, x in decreasing order.\nAnswer: 2, x, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -3*w**5\/10 + w**4\/3 - 69*w**3\/2 - 57*w**2. Find the first derivative of k(t) wrt t.\nAnswer: -36*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7119, -28486, -64103, -113970, -178087, -256454, -349071?\nAnswer: -455938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 4. Let o(g) be the third derivative of -g**5\/60 - g**4\/3 - g**3 + 2*g**2. Is o(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2318 in 0.7, 102, -0.5?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -20*t**5 - 1828*t**4 + 1312*t**3 + 19376*t**2 + 22144*t + 5888 = 0.\nAnswer: -92, -2, -1, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 0 + sqrt(1900) + -3 - 4*sqrt(1900)*1)**2 + (3 + 0 + -1 + sqrt(1900) + sqrt(1900))**2.\nAnswer: 200*sqrt(19) + 15213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 20 = -5. Let z = m - -4. Let w be z - 3 - (-18 + 1). Calculate the greatest common factor of w and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(448) + (2 + sqrt(448) + (sqrt(448) - (sqrt(448) + -1)))**2) - (sqrt(42)\/(sqrt(384)*-3))**2*4.\nAnswer: 224*sqrt(7) + 263225\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -32, -38, -28, 4?\n\"Answer: b**3 - b**2 - 20*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155502, 311037, 466572, 622107, 777642, 933177?\nAnswer: 1088712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1700*d + 2080*d - 750*d + 8037 = 186807 for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1754313126?\nAnswer: 2, 3, 31, 67, 140773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40762681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 67.77 and 2.\nAnswer: 69.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123745024 by -2888.\nAnswer: -42848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -358429, 2, -2, -0.1, 0 in increasing order.\nAnswer: -358429, -2, -0.1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*b**3)*(12 - 4*b**2 + 4*b**2 - b**2).\nAnswer: 2*b**5 - 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 4:19 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437, 442, 445, 446?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmm when three letters picked without replacement from tttmttmmvtm?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -6 - (6 + 12)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-364)\/(-6) - 10\/15. Is (41\/(-2))\/((-10)\/z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqvv when four letters picked without replacement from vvqv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-101903)\/563*(204 - -2)\/(-1). What is the highest common factor of c and 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*j - 80 = -5*u + 44*j, 2*u - 5*j = 11. Suppose -15 = 2*v - 29. Solve -v = -2*k - u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7208, 7145, 7096, 7067, 7064, 7093, 7160, 7271?\n\"Answer: a**3 + a**2 - 73*a + 7279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 11292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(144))\/(sqrt(8) - 6*sqrt(8)*-1) + 0.\nAnswer: 3*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 60*z**2 - 219*z - 258. Let c be f(56). Solve 3*i + 4 + 8 = -2*d, -5*i - 4*d - c = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 3*c + 0*c)*(-4 - 1 + 3)*(2 + 2 - c**2 - 2*c**2).\nAnswer: -6*c**3 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52476*i**2 + 6151?\nAnswer: 104952*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 182*d**2 + 5 - 70*d**2.\nAnswer: 112*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.9 - 3.878. Let w = 54.022 - u. Let k = -53.9 + w. Which is the nearest to k? (a) -2 (b) 1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**4 - 65035*k**3 + 2466090*k**2 - 25681860*k + 42019560 = 0.\nAnswer: 2, 18, 12969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 1. Let h = -8 - -12. Let r be x(h). Solve 3*z + 2*z = -p - 22, -p = -r*z - 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/18 and -67\/170.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzffzlnlzflzzlflfzb. What is prob of sequence zzzb?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**5\/20 - f**4\/6 + f**3\/2 - f**2 + 6*f. Let q = 1 + 1. Let h be a(q). Which is bigger: 8 or h?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 8*x**6\/5 + 19*x**3\/3 + 21*x. What is the second derivative of o(s) wrt s?\nAnswer: 576*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, -3, -2, 4, -4, -12, -1 in increasing order.\nAnswer: -12, -4, -3, -2, -1, 4, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 700 - 721 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**3\/3 + 6*k + 8. Let i(j) be the first derivative of o(j). Let f(w) be the first derivative of -4*w**3\/3 - 3. Give i(f(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(3\/23))\/((n\/n**19)\/n) assuming n is positive.\nAnswer: n**(463\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.35 + 1.55. Let y = 2.5 - 2.25. Let j = y - -0.55. Sort j, s, -0.2 in decreasing order.\nAnswer: j, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34748 - 6?\nAnswer: 34742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/3 - 28\/42) + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -85057, -85063, -85061, -85051, -85033?\n\"Answer: 4*n**2 - 18*n - 85043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 w, and 1 s when three letters picked without replacement from uewusuuwuuswuuzuusui?\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3006 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -1267.3664\nAnswer: 15208.3968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(264)\/(3*sqrt(8)))\/(sqrt(75)*4).\nAnswer: -3 + sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5419 divided by -841\nAnswer: -5419\/841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79219\/24 - -3296. Calculate the common denominator of -37\/1059 and t.\nAnswer: 8472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 241, 936, 2545, 5524, 10329, 17416, 27241?\n\"Answer: 76*p**3 + p**2 + 160*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 - 11148*d**2\/5 + 1633476*d\/5 - 12047200.\nAnswer: (d - 11000)*(d - 74)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 22. Let z be h(-24). Suppose n - z*c - 801 = 0, -c = -0*c - 4. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1694*p + 730*p + 148 - 4*p**2 + 964*p.\nAnswer: -4*p**2 + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/1140 and 19.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2. Let h be 12\/2 + 12\/4. Suppose 1 = h*i - 8*i. Let g(y) = 0 + 1 - 2*y**2 - i. Give z(g(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/272*22\/33?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 35 = 5*p, 6*c - 2*c - 4 = -6*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y**3 - 28*y**2 + 5*y + 63. Is i(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -953 = -2*c + h, 969 - 10 = 2*c - 3*h. Suppose 417 + c = 4*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2006 = -5*o, 2*o = n - 182 + 990. Suppose 501 = 4*l - 3*c, 4*l + 3*c = l + o. What is the remainder when l is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 24, 23, 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.97 - -7.97. Which is the third biggest value? (a) s (b) 14 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (28\/6 + 4)*-3. What is the smallest value in 2, 5\/2, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 at most as big as 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5862, -11707, -17538, -23349, -29134, -34887, -40602?\nAnswer: -46273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 20149.01 millimeters?\nAnswer: 2014.901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 + 1 - q**4 + 2*q + 2*q**2 - 1 to z*q**4 + j*q + a + m*q**3 + f*q**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a - 3. Let s(r) = -13*r - 5. Suppose 6 - 27 = 3*k + 4*f, -2*k - 5*f = 14. Give k*t(q) + 4*s(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3820 divided by -16.\nAnswer: 955\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*a**3 + 49*a**4 + 3*a**3 + a**3 - 3*a**2 + 1543 + 18*a**3 + 4*a**3 wrt a?\nAnswer: 196*a**3 - 24*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 + -5.2. Sort q, -0.2, 0 in descending order.\nAnswer: 0, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(10\/(40\/(-3))). Suppose 0 = f*n + 83 - 1195. What are the prime factors of n?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8191, -8189, -8187, -8185, -8183, -8181?\nAnswer: -8179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 5. Let k(a) = -32*a - 129 + 243 - 114. Calculate s(k(t)).\nAnswer: -32*t - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 5*b**2 + 3*b + 1. Let m be r(4). Let k(d) = -d**3 - d**2 - d - 1. Let i be k(m). Is (1 + 0)*(i + -11) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 733, 2959, 6681, 11905, 18637?\nAnswer: 26883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34340\/(-9090)*11\/(-34)?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/35 (b) -2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 7 + 4 - (4 + 1) - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227.96 + 210. Let y = -18 - q. Let t = y + 1.29. Round t to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149 + 558. Let q(n) = -2*n**2 + n. Let g be q(1). Is g*(-1)\/1*a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, j: 6, z: 1, p: 4}. What is prob of picking 1 p and 1 z?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -24*a**2 + 8. Suppose k - 4 = -2. Let i(o) = 7*o + 1 - 4 - 7*o + 8*o**k. Let w(f) = -8*i(f) - 3*x(f). Let p(j) = j**2. Determine w(p(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Let w be 11\/(-4) - (-3 + 1). Let q = -7\/12 - w. Which is the nearest to -0.2? (a) z (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*x - 5, 15*f - 20*f + 7 = -x. Solve 3 = x*j - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l + 70. Suppose 2*w + 25 + 49 = -4*c, 2*w + 6 = 0. Let b be a(c). Solve 7 - 17 = b*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (0 + -1)*49728\/(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + 4 + -8 + 24 + -43 + 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(7 - 2 - 4)*(-12*u - 19*u + 11*u).\nAnswer: -40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 4. Let x(g) = 1. Let w(d) = h(d) + 4*x(d). Let f be (1 - -1) + (-1)\/1. Let n(o) = 4*o - 1 + 0*o + f. Determine n(w(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**21*y**12)**(-21\/5) assuming y is positive.\nAnswer: y**(-693\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 3:00 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (-4 - -12 - 15)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 8*i + 2. Let a be g(-6). Let w = -849 + 840. Which is greater: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/2 - 729*s + 177147\/2.\nAnswer: 3*(s - 243)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from pvpkww?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/((-3)\/9)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/75315514?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 252533.349 seconds?\nAnswer: 2.9228396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (304 + 359 - 390)*(-h - 20*h**3 + 13*h**3 + 9*h**3) in the form x + j*h**3 + u*h**2 + c*h and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + -1 + 4 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -0.062, 70, 0, 1\/45, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*(-1 + 2))\/(-1). Let p = 6 - i. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1035 + -433. Suppose -96*r = -98*r + v. Calculate the highest common factor of r and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 - 3*z + 1. Let g be t(-2). Let m(y) = -2*y**3 + 3*y**2 + 3*y. Let j(h) = h**3 - 2*h**2 - 2*h. Give g*m(p) - 8*j(p).\nAnswer: 2*p**3 + p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 - 74*z**2 + z + 56. Let m be c(-37). Let v = -101 - -310. Calculate the highest common divisor of m and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.74951g?\nAnswer: 0.00000874951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -5, 3, -2\/97 in ascending order.\nAnswer: -5, -4, -1, -2\/97, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3\/26)*(a*a*a*a\/(a\/(a*a**(-1\/19)*a*a))*a)\/a)\/(a\/((a*a*a\/a**(-1\/5))\/a))**(-39) assuming a is positive.\nAnswer: a**(-98721\/2470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/176 and -55\/2048.\nAnswer: 22528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 123 and -0.074.\nAnswer: 122.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 4. Let f = 2 - n. Let k be (6 - 4) + (-8)\/5. What is the closest to k in f, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 60 (b) 1 (c) -1 (d) 0.5 (e) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 12*r**2 + 14*r + 9. What is x(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*j**2 + 6*j + 404*j**4 - 400*j**4 - 5*j - 17*j**2 + 2*j**3 in the form g*j**3 + q*j**4 + s + i*j + y*j**2 and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41616, -83227, -124838, -166449, -208060, -249671?\nAnswer: -291282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 85*a**2 + 3335*a + 3300. Give b(-114).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n + n - 2*n**2 + 2 + n to the form s*n + h + l*n**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -30. Let g = w + -6. What is the highest common factor of g and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 3*y**2 - 7*y + 3. Let m be o(-7). Suppose 0 = 2*s + 5*w - m, 4*w - 5*w - 285 = -s. Suppose -3*q = -s - 78. What are the prime factors of q?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 14 = -6*u. What is the least common multiple of u and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -2*a + 4*m, -3*a = m + 87 + 73. Let v = 49 + a. What are the prime factors of v*2\/(36\/489)*-2?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**5\/20 - s**4\/2 - 5*s**3\/6 - 7*s**2\/2 + 3*s. Calculate f(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 14*j**2 + 43*j + 159. Let t be g(-8). Sort t, -5, -4 in descending order.\nAnswer: -4, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2823*-1*(28 - 31). Let x = y - 12649. What is x rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + 1 + 1*sqrt(13) + sqrt(13) + ((sqrt(13) - sqrt(208)) + 1 + (sqrt(468) - (1 + sqrt(468))) + sqrt(13))**2).\nAnswer: 10*sqrt(13) + 265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 59 = -26 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 381*x**3 - 151*x**2 - 13*x + 10. Calculate n(1).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let a be (16\/4 + -4)\/n. Suppose -g + 2 = a, -2*h - 3*h + 10 = 5*g. Solve -i = -h*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. Suppose 4*s + 5*q - 14 = 3*s + 81, 0 = 2*q - 24. What is the nearest to 0.2 in s, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29806 - -29811. Sort 359, a, -1 in increasing order.\nAnswer: -1, a, 359","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2201 + -1012021412?\nAnswer: -1012014211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -670, -5284, -17652, -41602, -80962, -139560, -221224, -329782?\n\"Answer: -638*l**3 - 49*l**2 - l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = 15*f - 4 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/3700 and -53\/1332?\nAnswer: 33300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {j: 1, u: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2074)\/(-102) + -2*2\/(-6). Find the third derivative of 19*t**2 - 104*t**3 - z*t**2 + 93*t**2 wrt t.\nAnswer: -624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -278*f + 495. Give n(3).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2511476121.\nAnswer: 3, 7, 11, 37, 26713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749363625?\nAnswer: 3, 5, 29, 103, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7829 + 10192. Calculate the greatest common divisor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220221 + 12?\nAnswer: 1221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - 10 - -2) + (-1 - (-3 - 9) - -2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-2 - 3) + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 235876 to the power of 1\/2, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 16*w**2 + 28*w + 11. Let j(u) = -u**3 - 33*u**2 - 33*u - 15. Let o be j(-32). List the prime factors of c(o).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1841213 is divided by 127?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -2.1 (b) 0.1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14013.7061001 - 14118.70609. Let q = 105 + x. Round q to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -4*h**3\/3 + 3*h**2\/2 + 1061*h - 413. Differentiate l(j) with respect to j.\nAnswer: -8*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, c: 4, a: 2}. Give prob of sequence aakc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170190072 by -181827.\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 271 (b) 57.95 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2273570 (base 8) to base 14\nAnswer: -12214c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 414.549 - -113.272.\nAnswer: 527.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + (-10 - -4 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -20, -34, -54?\n\"Answer: -3*h**2 + h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 3*l**2 + 2*l - 1. Let b be d(2). Let n be (36\/(-21))\/((-10)\/35). Let m(u) = -u + 1. Let w(x) = -8*x + 7. Give b*w(q) + n*m(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 8*i**2 + 8*i + 1. Let b be y(7). Let o(d) = -b + 3*d - 4*d + 25. Let g be o(-7). What is the greatest common factor of 48 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 times -28\nAnswer: -5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2048 (base 10) to base 12\nAnswer: -1228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 3 - 2*k - 3\/2*k**2. Give a(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, -4, -0.46?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, t: 3, l: 1, a: 1}. What is prob of sequence tgag?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19659.9973198 - 19660. Round i to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 405955 and 880?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/9 in -1\/10, 0.37, 1\/3, 4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -243 - -2189\/9. Let z = 16.63 + -17.63. What is the nearest to z in g, -2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*a - 4*d, 0 = a - 6*a + 3*d - 19. Let s(y) = 3 + y**2 + 1 + 2*y - 3 - y**3. Give s(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**5 + 9*d**4 + 14133*d**3 + 2424258*d**2.\nAnswer: 120*d**2 + 216*d + 84798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12261 - -12323. Solve -4*x + w = 78 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6) - (-94)\/4. Let s = 73\/3 - u. Let b = 2 + -1.7. What is the smallest value in b, s, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**3\/b)\/b**(1\/4))**(-3\/13)*((b*b**(-2\/3))**(-1\/2))**(6\/11) assuming b is positive.\nAnswer: b**(-415\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 10394*q + 352240.\nAnswer: (q + 34)*(q + 10360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 12410095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12731\/992 - 1\/2976. Find the common denominator of r and 58\/609 + 2\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -156 + 161. Suppose -5*f = 5*n - 85, -n + 3*n - 94 = -5*f. What is the greatest common factor of f and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 9*v**2 + 5*v + 35. Let d be i(-12). What is the highest common divisor of 74 and d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140*u**3 + 122*u**2.\nAnswer: 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 463623733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.642 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -464925, -464926, -464927, -464928?\nAnswer: -464929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(256)*4)\/(sqrt(96)\/sqrt(3)) + 5)**2.\nAnswer: 80*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/(l\/l**(-3))))\/l)\/(l*l**(-8)))\/(l\/(l*l**0))**25 assuming l is positive.\nAnswer: l**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29825 - -29835. Let w(a) = 2*a**3 - 19*a**2 - 7*a + 1. Calculate w(j).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 208, -320, -1200, -2432, -4016?\n\"Answer: -176*m**2 + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 145532 - -1?\nAnswer: 145533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*r + 16*r + 439*r**2 - 4 + 31*r + 23*r.\nAnswer: 439*r**2 + 12*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -3\/3290975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 10:59 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-8 - -3) + 0 + (5 - 2) - -36\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -152442262 (base 7) to base 14\nAnswer: -14d57a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*b**3 - 2 - 4*b + 0*b + 26*b**3 + 84*b**2 + 48*b**3 as i*b + u*b**3 + s + z*b**2 and give z.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -959594.7106 rounded to the nearest 10?\nAnswer: -959590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f + 357 = -15*f + 357. Are f and 77\/136 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 7. Let d(u) = -u - 1. What is 2*d(k) - t(k)?\nAnswer: -k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 17 + -7 + (4 - -4) + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 1456248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 32. Let b be (((-9)\/4)\/3)\/f. Let v = -0.5 - -1. Sort v, 3\/8, b in decreasing order.\nAnswer: v, 3\/8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 1) + -163 + 161 + -8 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40979 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/14, -5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46136873.5 rounded to the nearest ten thousand?\nAnswer: -46140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 - -2?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*z - 450331*l**2 + 2*l*z + 17*l + 723*z - 31418 wrt l.\nAnswer: 2*l*z - 900662*l + 2*z + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123587*l = -123210*l + 3016 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 146291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4216 is divided by 170.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 2:04 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or 154\/3?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 20. Let g = q - -1. Let x(a) = a**2 + 2*a - 1. List the prime factors of x(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -281, -561, -1029, -1679, -2505?\n\"Answer: z**3 - 100*z**2 + 13*z - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001324426 to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*t + 1 - 33 = 0, 2*a - 5*t = 60. Let r(b) = b**3 + 4*b**2 - 5*b - 5. Let n be r(-4). Suppose 2*s - n + 5 = 0. Solve -s*i = -0*i + a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -26 (b) -3 (c) -0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.8 (b) -0.1 (c) 4\/9 (d) 56 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-2)\/1851058 + 0). Suppose -20569 = -4*w - 2*k - 6919, -3*k = -3*w + 10242. Suppose q + w = -x. Round x to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 81, 101, 159, 273, 461?\n\"Answer: 3*b**3 + b**2 - 4*b + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.92 and -642.53.\nAnswer: -591.1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - (0 - (-1 - -1) - (126 - 128))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -311993\/72 - -4333. Let s = w - -1\/9. Sort 1\/2, s, 102 in decreasing order.\nAnswer: 102, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756265 is divided by 3125.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83\/(-6 + 1 - (-7 + 2) - -1) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1241 or 1163?\nAnswer: 1241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*s - 55*s - 97*s - 828 + 28 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 231*f**4\/4 + 2589*f**2\/2 + 3989*f. Differentiate k(b) wrt b.\nAnswer: 1386*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599411 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12213333 + -20?\nAnswer: -12220013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 53. Solve 5*d + 15 = u + 3*u, -y*u + d = -3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 5 - 6 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 117391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence octc when four letters picked without replacement from {c: 4, t: 7, f: 2, o: 2, x: 5}?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + 3*sqrt(98) - sqrt(22)\/sqrt(44).\nAnswer: 55*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than or equal to -1711\/775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98c (base 14) in base 11?\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123104 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -19*u - 95. What is w(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**3\/4 - 53*b**2\/4 + 204*b - 720 = 0.\nAnswer: 5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -366 + 417. Calculate the remainder when 106 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/10788 and 69\/406.\nAnswer: 75516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 1944978.80124.\nAnswer: -1944975.80124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.800763 days to hours.\nAnswer: 235.218312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/21, 0.4, -2\/5, -0.5, 7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 2*y**2 + 2*y - 3. Let q(g) = 4*g**3 - 9*g**2 + 9*g - 13. Suppose 5*f - 9*f = -16. Give f*q(a) - 18*s(a).\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2378 - 1294. Suppose 3 = -l, -5*i + 3*l + w = -990. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -17. Let f be (-6)\/(w + 28\/(-8)). Which is the closest to 0.1? (a) 4\/9 (b) f (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 3*c - 5. Let q(j) be the second derivative of -j**5\/20 - 11*j**4\/12 - 11*j**3\/6 - 3*j**2 + 12*j. Let k be q(-10). Give g(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209*-47.517.\nAnswer: 9931.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 times 2836?\nAnswer: 1080516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 13. Let s(u) = 1. Suppose 5*g - 3*n - 8 = 0, -g + 3*n - 4 = -8. Give g*z(r) - 6*s(r).\nAnswer: 2*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + 5*z**3 - 2*z**3)*(-205635 - 1401*z + 205635)*(0 - 4 + 2 + 0 + 1 + 1 + (-3 - 2 + 3)*(0 + 2 + 0) + 0 - 4 + 6 - 1 + 2 + 0).\nAnswer: 4203*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.001 (b) 10 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -10 + (17 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/11, 5, -0.1 in decreasing order.\nAnswer: 5, 2\/11, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142 + -138. Suppose 4*t - 32 = a*x, -t + 7*x - 8 = 2*x. What is the remainder when 33 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n - 399 - 16*n + 30*n - 6*n.\nAnswer: -n - 399","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*i = -58*i - 9. Solve -2*u + i = 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 - (-38)\/(-30) - (-8)\/(-24).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q + d + 165, -4*q = -5*d - 345. Let o = q + -44. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19003 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -5, -1, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34980 and 1470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3959 = b, -971 = -d - 3*b + 7*b. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000040505 to 7 dps.\nAnswer: 0.0000405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -277.361.\nAnswer: -276.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-4) + 1\/(-2). Let h(d) = d - 14. Let w be h(16). Suppose -g = -w*j + j. Solve -2*c + j = -0*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**22*o)\/o)\/o*(o\/o**(3\/17))\/o)**(8\/3) assuming o is positive.\nAnswer: o**(944\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4069517*a**5*n*u + a**3*u + 2*a**2*n*u - 57*a**2*u + 259*a**2 + n - 2 wrt a?\nAnswer: 244171020*a**2*n*u + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 15 = 4*z, 2*z + 0 + 5 = -p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*w - 3334 + 397716, -w + 78874 = d. Is w a multiple of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d**3 - 68*d**3 + 23*d**3 + 18*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + -25. Let n = h + 63.796. Round n to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10691072 and 20096.\nAnswer: 10691072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20054885?\nAnswer: 5, 4010977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372 - 372 - 2259*q.\nAnswer: -2259*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 4:16 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21500882.\nAnswer: 2, 13, 826957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 9:02 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 2:41 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/144)\/((-7)\/14) - 152269\/6084.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 94\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1039 - 2117. Let b = -618 - d. Is 11 a factor of b\/15 + (-1)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2009393\/879 + 2286. Find the common denominator of t and 127\/42.\nAnswer: 12306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 22*m**3 - 17*m**2 + 10*m + 31. Let d(x) = -21*x**3 + 16*x**2 - 8*x - 24. Calculate -5*d(k) - 4*q(k).\nAnswer: 17*k**3 - 12*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 11:29 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 q, and 1 h when four letters picked without replacement from {y: 4, b: 3, a: 2, q: 2, h: 2, i: 1}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(6\/19))\/(((u\/u**3)\/u)\/u) assuming u is positive.\nAnswer: u**(120\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 13160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 47054 + -0.2333\nAnswer: 47053.7667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191375199*v - 14*v**2 + 191375199*v.\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -47466691800 to the nearest 1000000.\nAnswer: -47467000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.912 rounded to 0 dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 173*y. Let p be 1 + (-56)\/24 + 13\/3. Let m(b) = -1 + 61*b**2 + p - 2 - 58*b**2. Determine m(s(d)).\nAnswer: 89787*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 57. Suppose 52*g - 53*g - 5 = 0. Sort 0, i, g in increasing order.\nAnswer: g, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 4*(-1)\/(-2). Solve n*j = -6 - 14, -4*v - 5*j = 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 406248 and 426.\nAnswer: 28843608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**3 - 5*s**2 - 132049*s - 2318871.\nAnswer: 6*s**2 - 10*s - 132049","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -38215 - 1\nAnswer: -38216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y**5 - 2241*y**4 + 37530*y**3 + 114459*y**2 + 107424*y + 32724 = 0 for y.\nAnswer: -202, -1, -3\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x*((x\/((x*x*x*x*x*x*x*x\/(x*(x*x**(1\/4)\/x)\/x))\/x))\/x)\/x)\/x)*x*x))\/((x*x*x\/(x\/(x\/(x**(3\/2)*x))))\/x)*x**(2\/9)*x**(3\/8) assuming x is positive.\nAnswer: x**(-623\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4216 a factor of 312405600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0)\/(2\/1). Let v = -781\/3108 - -1\/777. What is the second biggest value in v, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.5 - -0.5. Let k = v + -12. Which is the second biggest value? (a) k (b) -0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -543 = 3*u + 1569. Let j = -418 - u. Suppose -640 = -5*s - 5*r, -s + 4*r = s - j. What is the remainder when s is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 - 69. Let y = 33 + -27. Suppose m*r = y + 4. Solve 3*g + 0*z + 8 = r*z, 2*g - 3*z + 12 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5.433559 millennia?\nAnswer: 54.33559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -2, -44, 1.568?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 19902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45279981919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xixiixxixxxxiixixxx.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -255, -494, -735?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + 2. Calculate the remainder when f is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -13. Suppose d - 5*q + 11 = 0, 3*d = -4*q + 55 - t. Let r(s) = 336*s - 8693. What is the remainder when r(26) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2893 + 23181\/8. What is the common denominator of 69\/8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4 + 133056*y**3 - 4793472*y**2 + 57535488*y - 230169600 = 0. Calculate y.\nAnswer: -33300, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*l**3 + 15*l**2 + 0 + 0*l.\nAnswer: -3*l**2*(l - 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001 + -10001110001010?\nAnswer: -10001101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w**5\/7 + 162*w**4\/7 + 416*w**3\/7 - 78*w**2 - 256*w - 408\/7 = 0. What is w?\nAnswer: -17, -3, -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 783 - 20?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.69 + -7.42. Let p = -9.4 + 3.7. Let x = y - p. Is x equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 2275?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edhwdw. What is prob of sequence dde?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m + 56 = -25*m. Suppose c - m*v - 971 = 0, 5*c - c - v = 3899. What are the prime factors of c?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 - 36*d + 8*d - 11 + 11*d**3 + 28*d to f + s*d**3 + r*d**2 + g*d and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 48*w - 98. Let d be t(-26). Suppose 9*q - 42 = d*q. Let i(k) = -k**3 - 6*k**2 - 7*k. Calculate the least common multiple of q and i(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**5\/60 + 3*j**4\/8 + 74*j**3\/3 + 2*j**2 + 2. What is the hundreds digit of k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 170888 = -2*t, 5*o - 93494 = -5*t + 13296. What are the prime factors of o?\nAnswer: 2, 11, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 + 3*r**3 + 2*r**3 + (r + 3*r - 2*r)*(-2*r**2 + 4*r**2 - 4*r**2) + 0*r**3 + 4*r**3 + 2*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 1 - 530*v + 2785*v - 937*v in the form k + r*v**2 + y*v and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63158 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 0, 2*c - 3*o - 19 + 9 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 10, 11, 8, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 25*a**3 - a**2 - a - 5. What is the tens digit of o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7699110 or -7699109?\nAnswer: -7699109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -526 (base 10) to base 6.\nAnswer: -2234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/5*40\/16. Suppose 0 = -2*s + i + 7, 4*s + l*i = 14 + 18. Solve 0*b + s = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9659694*g*h**4 - 2*g - 3021031 with respect to h.\nAnswer: -38638776*g*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -4)\/((-2)\/(-6)). Let h(w) = -6*w**2 + 4*w - 3. Suppose 4*x - 5*x - 2 = o, -3*x = -2*o + 21. Let j(v) = 3*v**2 - 2*v + 2. Give u*h(m) + x*j(m).\nAnswer: 3*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g + 4*g - 3*g**2 - 2 - 2*g)*(-g**2 + 4*g**2 + 3*g**2).\nAnswer: -18*g**4 - 30*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 28 + 24 = 0. Let x(g) = -g**3 + 4*g**2 + 22*g + 8. Let t be x(6). Let b be t\/4 - (2 - -1). Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d - 2. Let p be s(2). Calculate the common denominator of 119\/12 and (1\/4)\/(p\/(-24)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62764567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(320) + sqrt(45)*6)**2 + 1*sqrt(720)*1.\nAnswer: 116*sqrt(5) + 3384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000799334649 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 0. Let c = 18 + -9. Let f = l + c. Solve 15 = -4*h - k, 2*h + 4*k + f = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8 = -5*b, 5*g - g = 5*b + 8. Suppose 5*d + 4*w - 28500008 = 0, w - g*w + 11400002 = 2*d. What is d rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 1)\/2 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 6*c**3 + 12. Let m(t) = 5*t + 5*t - 25*t + 11*t. Determine w(m(g)).\nAnswer: 288*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177 and 472?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*v + 7, -15*v = 18*v - 43*v - 4*d + 60 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 275345 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1900630 and 1742.\nAnswer: 1655448730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 486023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1037 divide 63460252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*-1*(-2 + -4). Let n be ((-4)\/(-10))\/((-2)\/(-40)). Calculate the highest common factor of n and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/(-14) + (-10)\/35. Put k, 5, -25, 3 in increasing order.\nAnswer: -25, 3, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -1\/5*j**5 - 1\/30*j**6 + 0 + 2*j**3 - 9\/2*j**2 + 1\/6*j**4 - 4*j. Suppose y(t) = 0. What is t?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (468\/(-5))\/12*5. Sort 3, -5, m.\nAnswer: m, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*n - 108*n - 30 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6664*f + 6670*f + 78 = 0 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, -55, 0.4, -0.2 in decreasing order.\nAnswer: 3, 0.4, -0.2, -12, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33.9 + 37.9. What is the nearest to 1 in 2\/7, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 121 - 2?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (sqrt(3) - (sqrt(27) + 4)**2)) + -2.\nAnswer: -69*sqrt(3) - 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/2895 and 71\/1930.\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2 = 6*h - 9*h, 4*h + 2 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**6\/120 - g**3\/6 + 2*g**2. Let p be j(1). Let k = -4068 + 484094\/119. Which is smaller: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 142.83828887 to three decimal places.\nAnswer: 142.838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x + 251. Let w be c(40). What is the smallest value in 0, -10, w, 1\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**3 + 0*h + 3 - 2*h - 1 - h**2. Let n(l) = -9 + 13*l**2 + 4*l - 4*l**2 + 5*l - l**4 - 5*l**2 - 12*l**3. Let r(x) = 2*n(x) + 9*w(x). Factor r(q).\nAnswer: -q**2*(q - 1)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 26 = -7*w. Let i(c) = -c + 11. Let d be i(8). Suppose 2*y + 10 = 5*y + 2*r, y + 3*r - 15 = 0. Sort d, w, y in descending order.\nAnswer: w, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000130462 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5937.825t?\nAnswer: 5937825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 7:43 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047731 is divided by 1732.\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlhu when four letters picked without replacement from {x: 1, l: 1, h: 2, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, -8, -17, -30, -47, -68?\n\"Answer: -2*b**2 + b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38522\/5500 + -5 - 2. What is the closest to h in 3, 4, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooookkkookokkx. Give prob of sequence xkk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(6\/(-1124)) - 1\/3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 16*n**3 + n + 6 + 0*n**2 + 4*n**2. Let m(i) = -i**3 - i**2 - 1. Let h(a) = -g(a) - 5*m(a). Is h(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -269, -651, -1247, -2093, -3225?\nAnswer: -4679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -195316 (b) 16 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 32*a**2 + 25*a - 118. Is 13 a factor of t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2333.8519 + -0.0481. What is j rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-21) + 0)*1. Let r be ((-6)\/(-12))\/((-7)\/(-6) - 1). What is the nearest to 0.1 in r, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*q + 8 = 20, 4*q = -5*x + 29. Suppose -22 - 18 = -x*a. Solve -g = l, 0*g - 2*g + a = -2*l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -74251.575?\nAnswer: 22275.4725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 930 - ((-6)\/(-8))\/((-2)\/(-8)). Let i = z - 890. Calculate the remainder when 37 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22700, -45430, -68162, -90896, -113632?\n\"Answer: -u**2 - 22727*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 26.93598cm?\nAnswer: 0.0002693598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 + 0*t**2 - 6*t**2)*(3*t + 6*t**2 - 2*t**2 - 2 - 3*t**2) - 3*t**4 + 4*t**4 + 4*t**4 to the form b + s*t**4 + h*t + k*t**3 + l*t**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5590.694 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 70703.85 years in decades?\nAnswer: 7070.385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 148*g**2 - g + 1. Is v(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 90*h**2 + 6*h - 536. Let b be s(90). Suppose 2*z + 3*z = 0. Solve z = -12*q + 10*q - b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 - 4*w**2 + 5*w**2 - 93 + (-2*w**2 - 2*w**2 + 6*w**2)*(1 + 1 - 3) + 2 - 2*w**2 - 2.\nAnswer: -3*w**2 - 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5386216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 = -q + 504. Solve 42*r + 24 = q*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i**2 + 9. Let d be p(-4). Suppose -75 = -5*o + d. Let l = o - 36. Is l less than -1\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 24 + 21 - 43 - 9*t + 11*t + t**2. Let n be 6 - 7 - (1 - -1). Calculate g(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from {p: 10, q: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/3))**(-1\/65)\/(m**(-1\/13)\/(m\/(m\/(((m**5\/m)\/m)\/m))))*(m*m*m*m**(-3)*m*m)\/(m\/m**(-4))*(m**(1\/8)\/m)\/m*m*m**(-3\/8) assuming m is positive.\nAnswer: m**(-1699\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d. Suppose 3 = -d*w + w. Suppose -44 = k - w*k. Calculate the least common multiple of k and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 240*w + 203658 - 2*w**2 - 203658 in the form d*w + y + p*w**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2751.062 - -2794. Let z = 43 - b. Let r = -5.938 - z. Sort 0.5, 0.4, r in descending order.\nAnswer: 0.5, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -14 - 2)\/(19 - 21). Let v(p) = -43*p**3 + p**2 - 28*p - 23. Is v(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.26358, -4\/7 in descending order.\nAnswer: 2\/5, 0.26358, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6311963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, -11, -58, -127, -218, -331?\n\"Answer: -11*z**2 + 8*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331763.\nAnswer: 103, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.947 rounded to 0 decimal places?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08313949 to 3 dps.\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 10:22 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 402 - 402. Suppose -5*g + 7393 = -4*l, -g + 4*l - l + 1483 = w. List the prime factors of g.\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 6db?\nAnswer: 6e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5876493467 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/7032 and 13\/5?\nAnswer: 35160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 830\/(-100) + -8 - 6\/(-20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22951, -22831, -22549, -22039, -21235, -20071?\nAnswer: -18481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12036 + -7214. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19604 and 9917596?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1309*v + 2574*v + 2370*v + (-2 + 2 - 2*v)*(-2 - 1 + 1).\nAnswer: 3639*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h - 191*h**2 - 22784 + 7*h + 22784.\nAnswer: -191*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 2. Let x be s(11). Suppose 0 = 4*d - x - 56. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3644736.4 take away -656842?\nAnswer: 4301578.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 479931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -346, -713, -1106, -1525, -1970, -2441, -2938?\nAnswer: -3461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -db - 15?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:49 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001100001100111000110 (base 2) in base 10?\nAnswer: -6691270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(28) - sqrt(308)\/(sqrt(11)*-3))\/((sqrt(128)\/sqrt(4))\/sqrt(8) + sqrt(4)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.275452 rounded to 3 dps?\nAnswer: -0.275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47349*m**2 - 26219*m wrt m?\nAnswer: 94698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.28952 - 8.09195. Let z = 0.19789 - r. Let p = z - 7. Round p to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:44 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16 - 15*v + 2 - 7*v + 6*v with respect to v.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2380\/102*27\/(-18)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p + 9. Let h(i) = 127 + i - 127. Let g be (-1 + 3)*3\/6. Let n(m) = 7*m + 4. Let w(b) = g*n(b) - 4*h(b). Calculate 4*q(y) - 9*w(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 11*n + 14*n = 47, -2*u + 30 = 4*n. Which is the second biggest value? (a) u (b) -0.2 (c) -184\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*u**2\/2 - 605*u\/6 - 1\/3 = 0. What is u?\nAnswer: -1\/303, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -5 + 2 + -2. Suppose 0 = 4*d + c + 126, -25 - 97 = 4*d + 3*c. Let b be 72\/d*1\/p. What is the second biggest value in 0.2, -1\/4, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 101\/4 (b) -0.1 (c) 16145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164779531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 56*z - 614. Let l be g(11). Suppose 3*c + 4 = 10. What is the highest common factor of c and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1280 = -4*o, -3*o + 280 = 3*x - 461. Calculate the highest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 50*y**2 + y - 53*y**2 - 6 - 3. Let m(t) = -4*t**2 - 10. Let g(r) = -4*m(r) + 5*v(r). Calculate g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*q + 3*w - 7*w, 2*q - 5*w = -15. Suppose q = 3*r + 50 - 176. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - i = -9, 0 = 6*c - 4*c - 3*i - 6. Suppose -28 = j + c*j + 4*s, 5*s - 13 = 3*j. Let n(q) = -q**2 - q + 31. Let h be n(j). Which is bigger: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*q**4 - 1\/2*q**2 + 0 + 1\/2*q - 1\/2*q**3.\nAnswer: q*(q - 1)**2*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -613, 18, -2.\nAnswer: -613, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 33*l**2 - 30*l + 10. Calculate m(4).\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, j: 5, u: 1}. Give prob of sequence uh.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0 + 12 = 0. Suppose 0 = -7*p - 2608 + 2622. Solve l*t + 2 = 3*h - 4, -12 = p*h + 2*t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.561275 from 0.26.\nAnswer: -0.301275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*k - 732 = 0. Let d = -74 - k. Find the third derivative of 0 - d*w**2 + 0 - w**5 + 102*w**2 wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 2*y - 14*g, 17*g + 29 = y + 13*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 - 235*h**2 + 7622*h - 63. Calculate k(-103).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17959*k**4 - 2*k**3 - 16*k**2 + 63*k - 1 wrt k.\nAnswer: 431016*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -208868, -417730, -626588, -835442, -1044292, -1253138, -1461980?\n\"Answer: 2*g**2 - 208868*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4\/5, -5\/3, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**3\/6 - 339*q**2 + 2*q. Let g(d) = -1 + 63*d - 64*d + 1. Calculate 4*g(c) + s(c).\nAnswer: -4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5047*r - 33. Let t(l) = 2523*l + 14. What is 3*j(h) + 7*t(h)?\nAnswer: 2520*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - k + 11*k + 0 + 13*k to o + c*k and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1248102 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3213 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 1. Let s be n(-2). Let q = s - -8. Let y = 21 + q. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + 0.2. Which is the closest to 0.1? (a) 3\/4 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06508 and 2.\nAnswer: 2.06508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**8\/1008 - v**7\/630 + 13*v**6\/360 + v**5\/180 - v**4\/6 + 6*v**2 + 10. Suppose o(p) = 0. What is p?\nAnswer: -4, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 6) to base 16\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -369.198293 to 1 dp.\nAnswer: -369.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 3*v + 8*v + 88 - 29. Let y(g) = g**2 - 5*g - 58. Let c(l) = -5*y(l) - 4*z(l). Find the second derivative of c(k) wrt k.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 81. Suppose -15*x - o*x + 255 = 0. Calculate the remainder when 80 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 - z + 1. Let p be d(-2). Suppose x - p = -0*x. Calculate the remainder when x is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22936495?\nAnswer: 5, 659, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14615 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -501712 - 6833343?\nAnswer: -7335055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**5\/20 - 4*m**3\/3 - 14*m. Let a be t(3). Suppose -5*y - 2*p = -p - 17, 2*p = 2*y - 2. Solve y*x = -0*x + a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Let l be (-1)\/(-2*r\/4). Let n be 1\/1*l - -1. Which is smaller: 1\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 248350 and -0.077?\nAnswer: -19122.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80217588 by -27834.\nAnswer: 2882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = 0, 11*c - 16*c + 3*i = -148. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1060, -5\/2 in ascending order.\nAnswer: -3, -5\/2, 1060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*a - 15 = -5*a, 24 = 5*w + 4*a. Suppose w*k - 3532 = -620. List the prime factors of k.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.32 - 0.4. Let u = m - 5.92. Let x = -613 - -613. Sort x, u, 0.4.\nAnswer: u, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 124 = 36. Let x be (5 - j) + (1 - 1). Let a = 60 - x. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/297 and -59\/18.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 3*q + 7. Let u be d(4). Suppose u*f = 6*f - 36. What is the lowest common multiple of 18 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - 9*x**2 - 5 + 25.\nAnswer: -6*x**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-50))\/((-2)\/4). Let a be (-2)\/4*(3 + -1). Which is bigger: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*x - 74*x - x**2 + 38*x)*(x + 3*x - 5*x).\nAnswer: x**3 + 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 6. Let u be o(-4). Solve u*j - 5*x + 28 = 0, 2*j = j - 5*x + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(30\/(-9) + 2). Let q = 78\/149 + -45488\/87463. Let z = q + 2334\/4109. What is the closest to 1 in i, -1\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3061 + 3083. What is the highest common factor of z and 2420?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q. Let h(d) = -d - 1. Let l(j) = 6*h(j) + y(j). Let f be l(8). Differentiate -142 + 160 + 2*k**f + 2*k - 2*k with respect to k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 2088 (c) 0 (d) 1 (e) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13945 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**4 + 26*v + 5*v**3 + v**2 - 25*v - v**3 - 2*v**4 in the form u*v + q*v**3 + y + o*v**2 + h*v**4 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = -170. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.8 - -30. Sort -2, -1\/4, 2, m in increasing order.\nAnswer: -2, -1\/4, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182335107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-238)\/(-68)*24\/(-14) - (-3 - 7 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -62951, -62817, -62683?\n\"Answer: 134*q - 63085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + 2 + (-10 + -19 - -22 - 19)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1518*s = -2177*s + 895*s - 240800 for s.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = c + 4, 161*c - 156*c - 10 = i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s + 2 - 4 - 1 + 1. Is g(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 11176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.125 - 3.125. Let w = -7\/3 - -2. What is the closest to -2\/5 in w, h, 0.03?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2160 minus -0.198111862?\nAnswer: -2159.801888138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/42*(-6)\/(-3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a36 (base 13) in base 9?\nAnswer: -18403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a - 5. Let p = -5 - -7. Suppose l + 13 = -p*m, m - l = -2 - 3. Let c be z(m). Calculate the highest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -2. Let b = a + 9. Suppose w + 2*m = 30, 6*w = 2*w - b*m + 124. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40671001 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a + 3 = g, -5*a - 12 = -4*g. Suppose -4*c + t + 24 = -3*t, -46 = -5*c - g*t. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.389 - 0.089. Let a = -19.2 + 10.2. Let d = a + j. What is d rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.3065 - 3.9065. Let x(m) be the first derivative of m**3\/3 - 2*m**2 - 4*m + 3. Let t be x(4). What is the smallest value in s, 38, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.22201 + 0.22214923. What is x rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -42 (b) -21 (c) 9.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -22*s. Let n(a) = 3*a + 6. Let f(j) = j + 1. Let v(y) = 6*f(y) - n(y). What is v(x(u))?\nAnswer: -66*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/8*4\/(-12). Let v(n) = n**3 + 4*n**2 + 5*n + 3. Let r be v(-3). Let z = 449 - 448. Which is the nearest to z? (a) y (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2064169, -8256659, -18577465, -33026587, -51604025, -74309779, -101143849?\nAnswer: -132106235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7 - b - b**2 - 5*b**3 + 4*b**3 + 10. Let d be w(0). Factor -n + n**2 + d*n**2 - 5*n**2.\nAnswer: -n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 6:43 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 655*u + 5*l = 650*u - 165, -u - 61 = 2*l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1)*(-1)\/14. Let u = 68808 + -68785. What is the nearest to u in 2\/3, 0.2, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 - 3*j + 1. Let h = -1234 - -1238. Let b(d) = -9*d**2 + 5*d - 1. Give h*b(q) + 7*g(q).\nAnswer: -q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*6016\/(-1316)*(-1)\/(-2)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.36 - 1.46. Let v = 7.77 - 7.2. Let s = v + 1.43. What is the third smallest value in s, f, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j - 22*j + 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/9 - 6\/9. Suppose 0 = -i*s + 18 + 382. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6223?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 5*p**3\/3 + p**2 + 8*p + 2. Let k(n) = n**2 + 1. What is 6*k(i) - v(i)?\nAnswer: i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -28.97, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 20. Let y(n) = -n - 5. Let d be y(-9). Suppose 4*c = -l + 129 + 42, -d*c = 4*l - 180. What is the highest common divisor of q and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 2:05 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -103415666 to the nearest 1000000.\nAnswer: -103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-3 + -3)\/(-3)) + 3. Suppose c*d + 288 = z + 1276, -5*d = -5*z - 1630. List the prime factors of d.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (-168)\/(-16)*(-4)\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18677189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -353, -529, -705, -881?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 712001 and 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 5*l**3\/3 - 395*l**2\/2 + 390*l + 3658. Let i(h) = 0. Calculate h.\nAnswer: 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ffftttfftfft?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 1. Let g(x) = x**2 + 9*x + 13. Let d(z) = g(z) + 2*u(z). Let h be d(-6). Solve -4*i - 2*s + 26 = 0, -2*i + 10 = -3*i + h*s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*(-2*(sqrt(204) - (sqrt(204) + (sqrt(204)*-2 + sqrt(204) - sqrt(204)))))\/((3*sqrt(12) - sqrt(12))*2) + -3).\nAnswer: -4*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 2:10 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-280)\/14)\/(1\/(-452432)). Suppose 2*g - l - 54820512 = 0. Suppose 0 = -5*x - 102934576 + g. What is x rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**2\/2 - 347*u\/4 - 105\/4 = 0.\nAnswer: -3\/10, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6458119 or 6458121?\nAnswer: 6458119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*i - 194*i + 15 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 28 - 40 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + -5 + (-8 + -1 - -8) - 10?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, g: 1, s: 3, c: 4}. What is prob of picking 2 g and 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -165084 (base 9) to base 2\nAnswer: -11000111011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by (-8)\/(-3)*(-15)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 - -111. Suppose y = r + r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c + 3*c)*(c**3 + 2*c**3 - 4*c**3) - 2548*c**4 + 4620*c**4 - 2459*c**4.\nAnswer: -389*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + 3*m + 3*m)*(-319*m**2 + 21*m**3 + 319*m**2) to s + y*m**2 + v*m + t*m**4 + k*m**3 and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, t: 5}. What is prob of sequence tb?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -145600 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/31, -139.2, -27, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 22 = 2*w - 0*u, 5*w = -2*u + 46. Let m = 48 - 44. What is the remainder when w is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6*v - 600 = 0. Suppose 0*i - v = -3*i + 2*x, 3*x = 2*i - 130. What is the remainder when i is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50789900 is divided by 7740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3 + 32\/(-18) + (-8580)\/(-270).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -842?\nAnswer: -2526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 8:35 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1534.4 - -853.7. Let p = i - -738. Round p to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -687.5 + 687. Let y = -2 - -2.47. Let d = y + z. What is d rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:07 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*i**3*o*q**2 - 10*i**3*o*q + i*o + 11*o*q**2 - 34*o*q - 3*q wrt q?\nAnswer: -28*i**3*o + 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccbccccciccccccccc. Give prob of sequence iccc.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2361? (a) 4 (b) -0.3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 - m**5 + 2*m**3)*(2 + 0 + 0 + (-3 + 3 + 1)*(-1 + 2 - 2) - 2 - 1 + 2 + 5 + 4 + 0).\nAnswer: -9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4281 or -9?\nAnswer: -4281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from axryxarayyyrrruy?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5251804 divided by -2.\nAnswer: -2625902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*k, 5*q = k - 0*k - 177. Let b = q + 64. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 1421*r**2 - 50981*r - 30570. What is c(-1456)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63268*y**3 + 114*y**2 - 28752*y + 846 wrt y.\nAnswer: -379608*y + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 49\/((-6468)\/2280) + 29.\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*w + 39, 2*w = 3*o - 4*o + 12. Let m(v) = v + 5. Suppose -4*k = -135 + 27. Let n be 2\/4 - k\/2. Let t(a) = 2*a + 11. Calculate n*m(j) + o*t(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 289 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18757, 37515, 56273, 75031, 93789, 112547?\n\"Answer: 18758*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-39)\/(-26))\/(42\/16))\/(1368\/(-84))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuo when three letters picked without replacement from ppguopgupppupoguupp?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51.67 - -52. Let g = z - 0.4. Let v = g + -0.13. What is the nearest to 4 in -4, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -9*j**3 + 4*j**2 - 4*j - 28. Let l be c(-8). Suppose 5*b - 935 - 299 = -u, 3*b - l = -4*u. List the prime factors of u.\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346486?\nAnswer: 2, 7, 24749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -141\/2. Let o = 4.9 - -0.1. Sort o, 2, y.\nAnswer: 2, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112110011101 (base 3) in base 13?\nAnswer: 9c601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cocoooo. Give prob of sequence cco.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -16*f**2. Let c(q) = 5371480 - 5371480 + 42*q**2. Determine c(i(h)).\nAnswer: 10752*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 302, 300, 296, 290, 282?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -i + 3*w - 5, 2 = i + w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 56. Let z be (v - -6)*(0 + (-314)\/(-4)). Let n = -110 + z. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20352 - -2.\nAnswer: 20354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 6:36 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1693, 86, -5 in increasing order.\nAnswer: -5, 86, 1693","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71477428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2589653352 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/21? (a) 2 (b) 6 (c) -1\/6 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1168 and 25\/2628.\nAnswer: 10512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2129938*j - 1980532 wrt j?\nAnswer: -2129938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*i**4 - 21*i**3 - 2*i + 5354.\nAnswer: 112*i**3 - 63*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0 + (-2 + 3 + 0)*(3 + 1 - 2) - 5 - 2 + 3)*(2*s - 2*s - 2*s) to q*s + v and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685*r + 687*r + 36 = 0 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 21*w**2 - 20*w - 42. Let s be 22*(-4)\/(-12 - -8). What is c(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 1, q: 1, m: 3}. What is prob of sequence iam?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - 4.05. Put p, 5, 0.5 in decreasing order.\nAnswer: 5, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1981006*y - 934839?\nAnswer: 1981006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 3*l - 2*l + (1 + 2 - 5)*(2 - l - 2) - 77 + 63 + 39 - 2*l)*(22 + 4 - 7) to k*l + i and give i.\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 10 - (3 - 1 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*(105\/10)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5)*a\/(a**(-4\/7)\/a))\/((a**(-2\/9)*a*a)\/a**(2\/9)) assuming a is positive.\nAnswer: a**(-188\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4903*u + 4890*u + 4895*u + 1 - 14677*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 43 = 11. Let f = 12021 + -12019. Solve -f*z = -3*l - 5, 0 = 5*z + 3*l - l + y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 227575 + 1?\nAnswer: 227576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431543\/96 > 25330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4544\/(-11928)*6\/(-56)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/169? (a) 8 (b) 1.142 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32\/3 + -10. Let r = -23.7 - -24. What is the second biggest value in i, r, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*v - 9*v - 22*v + 7*v**3 - 3*v**3.\nAnswer: 4*v**3 - 68*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxhxhviisihhioh. What is prob of picking 1 o and 3 i?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, w: 4, l: 5}. Give prob of picking 2 k and 1 l.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-48)\/(-15))*(3 - 672\/234)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127 - -195. Let q = 422 - 415. Let y(s) = -s**3 + 10*s**2 - 2*s + 37. Let j be y(q). What is the greatest common factor of j and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -166, -361, -556?\n\"Answer: -195*d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -65?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 85*(-2 + (-32)\/(-10)). Let y = w + -67. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-2)\/14)\/((-35)\/245).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1083? (a) -1 (b) -2\/17 (c) 0.2 (d) -0.4 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2. Let c(d) = 2792 - 107*d - 2791 + 9*d. What is c(m(t))?\nAnswer: -294*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/628 in -25\/6, -2\/3, 8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 + -671\/6. Let f = 0.1 + -0.1. Put 3\/7, f, g in decreasing order.\nAnswer: 3\/7, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, h: 1, f: 4, x: 2}. Give prob of sequence vhv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u**3 - 8*u**2 - 6. Suppose -75 = 6*v - 57. Let p(h) = 4*h**3 - 3*h**2 - 2. Give v*z(a) + 8*p(a).\nAnswer: -4*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 36\/23, -3, -53, -10 in increasing order.\nAnswer: -53, -10, -3, -0.2, 36\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 14*l - 4. Let v be r(12). Let a = 52 + v. Calculate the highest common factor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88560 and 39360?\nAnswer: 354240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 12:37 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0. Let k = -1.39 - 2.61. Which is the second smallest value? (a) -1\/2 (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, z: 7, h: 4}. Give prob of sequence cczh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1921374 and 6006.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/5))**(1\/5)*(z\/(z**1\/z))\/((z**10\/z)\/z) assuming z is positive.\nAnswer: z**(-172\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - (-1 + 7 + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7186 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (sqrt(24) - (sqrt(24) + sqrt(384)*-2 + sqrt(384))))\/(sqrt(12) - (sqrt(12) - sqrt(588)*6)).\nAnswer: -sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -252881 + -8?\nAnswer: -253000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -2.\nAnswer: -2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2585.\nAnswer: 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v + 79. Let m be p(7). Let i(n) = -7 + 12*n**2 - 4*n + n**3 - 5*n**2 - 1. Let o be i(-7). Calculate the highest common divisor of o and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 460*g**2*z**3 + 865284*g**2 - 7*g*z**2 - 12*z + 3 wrt z?\nAnswer: 1380*g**2*z**2 - 14*g*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -0.2, 4, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-225)\/(-1400)*(-427)\/183.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/(-6) + 20\/30. Let f = 3 + x. What is the common denominator of f and 2 + (-111)\/4 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebebejem. What is prob of picking 1 j and 3 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (144\/(-40))\/3 + (-48)\/(-15). Suppose 0 = -2*a + 2, 3*g - 3 = r*g - 3*a. Solve -5*t + x + 23 = -g*x, 2*t - x = 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 + 20828\nAnswer: 20826.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3026773.943 to the nearest 100.\nAnswer: -3026800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-21))\/((-36)\/21)*4\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (1 + -15)) + -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001924158 to 6 dps.\nAnswer: -0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*d + 24, -30 = 4*d - 7*d + 5*r. Solve d = 6*h + 44 - 2 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.92314 and -5567.\nAnswer: -5568.92314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -2)\/3 - 4\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170427069 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 + 47. Let w = u + 23. Let l = 154.000122 - w. Round l to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -18, 1.6, -5, -3, 465, -0.4?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.2, -5, -2\/63, 5, 0.07 in increasing order.\nAnswer: -5, -0.2, -2\/63, 0.07, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.08 - 9. Let o = w - 0.075. Round o to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.0158 + 0.0158. Let m(f) = 2*f - 2. Let g be m(2). Let d be g\/(-8) - 21\/12. Which is the closest to -0.2? (a) d (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(68)\/((sqrt(4) - (sqrt(160)\/sqrt(10) + sqrt(4))) + sqrt(4)) + 5)**2.\nAnswer: -42 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2544*p**2 + 5200*p. Let v(w) = -5099*w**2 + 10401*w. Let j(z) = 11*i(z) - 6*v(z). What is the second derivative of j(x) wrt x?\nAnswer: 5220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3132.65 - -3058. What is m rounded to the nearest integer?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -267.756 + 267.6. Which is the second smallest value? (a) y (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6) - (1 + 13\/(-3)). Let n(p) = p**3 - 4*p**2 + 2*p - 3. Let d be n(q). Suppose 580 = d*r + 5*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(d**3 + d**2 - d**2) + (0*d + d + 0*d - 4 + (-3*d + 0*d + 2*d)*(-2 + 3 + 2))*(-d**2 - 2*d**2 + 4*d**2).\nAnswer: -3*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 9*c**3 + 2 + 61*c**3 + 21*c**3.\nAnswer: 73*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 160660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1782 = -2*a + 2*p + 2482, -a = 2*p - 2129. What are the prime factors of a?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1316, -3, -5, 5 in decreasing order.\nAnswer: 1316, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1689110393?\nAnswer: 19, 47, 1891501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17*8\/(-32)*-4. Suppose -8*i = -4*c - 12*i - 12, p = c - 4*i. Put c, 46, 5 in increasing order.\nAnswer: c, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17003 - 3?\nAnswer: 17000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191920, 191914, 191904, 191890, 191872?\nAnswer: 191850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/8 - 5*k**2\/8 - k\/2.\nAnswer: -k*(k + 1)*(k + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1292*x + 37. Let f(p) = 2*p - 88. Determine z(f(j)).\nAnswer: -2584*j + 113733","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 less than -1241625?\nAnswer: -1241625.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0407 - 0.3103. Let f = l + 0.725. Let k = f - 0.35. Round k to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251, -578, -979, -1454, -2003?\nAnswer: -2626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18450 + 18770. Calculate the remainder when j is divided by 149.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.26 + -56.26. Let b = -39.91 + 96.11. Let a = b + g. What is the nearest to a in 0.4, 0.3, -0.09?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - y - 4 = 0, y - 20 = -3*a + 6*y. Suppose a = 4*z + 5*v - 10*v, 3*z = v. Is z smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 3884 + 1642 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*v**4 + 435597*v**3 + 10*v**2 - 104397675 wrt v.\nAnswer: 16*v**3 + 1306791*v**2 + 20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.89 - -0.11. Suppose 5*m - 5*i + 293 + 42 = 0, 3*m = -4*i - 173. Let f = -59 - m. What is the third smallest value in -4, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10*k - 5. Let b(c) = -9*c - 5. Let f(v) = -7*b(v) + 6*j(v). Give f(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4069, 8142, 12217, 16294, 20373, 24454, 28537?\n\"Answer: j**2 + 4070*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Find the third derivative of -d**2 + 2*d**5 + 2*d**x + d**5 wrt d.\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 1 + 1 + (-4*b**2 - 3*b**2 + 6*b**2)*(-b - 2*b + 5*b) - 2*b**3 + 3*b**3 + b**3 + 61*b**3 + 93*b**3 - 33*b**3 - b**2 + b**2 - 6*b**3.\nAnswer: 113*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3090 + -1521. Suppose 6*x = i + 201. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*(-3 + (sqrt(539) - (-1 + 2*sqrt(539)) - (-1 + (sqrt(539) - (1 + sqrt(539))))))*-3)*-5.\nAnswer: -105*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - 2*w + 6*w + (0 + w + 0)*(-1 + 2 - 3) + 2*w - 4*w + w - w - 5*w + w + 0*w - 4*w + 6*w + 24*w - 7*w + 58*w.\nAnswer: 71*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*l - 122 = -0*o, 20 = 4*l. Let z be (-1)\/13 - 1440\/208. What is the remainder when o is divided by 2*(-1 + (-28)\/z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12*c**2 + 132*c + 3. Let r(q) = -5*q**2 + 70*q + 1. Determine 3*i(x) - 7*r(x).\nAnswer: -x**2 - 94*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x + 45 - 38 - 3*x - 22 to the form a*x + i and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q - 26. Give g(9).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (77\/(-21) + -4)\/((-8)\/(-48)). Is -47 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2 + sqrt(3))*6)**2 + (sqrt(192) - (sqrt(192) + sqrt(192) + -2 + sqrt(192) + -3)).\nAnswer: 128*sqrt(3) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o - 53 = 28*o. Which is bigger: -1\/925 or o?\nAnswer: -1\/925","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000106924727 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2. Sort s, -2, 5.\nAnswer: -2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26973.3368 rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 + 50*n - 2*n**3 - 46*n - 6*n**2 + 8*n**2 + 8 as f*n**4 + t*n**2 + a*n + m + g*n**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 96*n - 31820 = 311*n + 38*n for n.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a17 + 4?\nAnswer: 1a1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h + 9*h - 5*h + 10. Let p(v) = -7*v - 9. Let x(j) = 5*f(j) + 6*p(j). Let y = -5 - 0. Let m(q) = 8*q + 5. What is y*x(b) - 4*m(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 9*l**2 + 23*l + 17. Calculate h(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -0.5, 0.8, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -21?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 15) + (2 - -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 222120212 (base 3) to base 4\nAnswer: 10232312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12250, 24502, 36754?\n\"Answer: 12252*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17487 and 77986191?\nAnswer: 5829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 1012*o + 18583. Calculate z(-18).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1287 = 2363*b - 2792*b. Factor -2\/3*w**4 + 1\/3*w**5 + 0 + 2\/3*w**2 - 1\/3*w + 0*w**b.\nAnswer: w*(w - 1)**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahthhrtrrtsvhr. Give prob of sequence hhvh.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13\/7, -0.1, -3, 2\/3, 3\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 3, a: 3, l: 2, x: 1}. Give prob of picking 2 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 668\/9 or 73?\nAnswer: 668\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 a when four letters picked without replacement from aaeaaeaaaaea.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 10*v**2 + 32*v - 78. What is the hundreds digit of a(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 288568*w**3 - 126508.\nAnswer: 865704*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2\/3*r + 16\/3 - 1\/6*r**4 - 4*r**2 - 11\/6*r**3 = 0.\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474928551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/10 (b) -5 (c) 0 (d) 0.152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 5*o**2 - 8*o. What is the least common multiple of 8 and f(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -213, -431, -649, -867, -1085?\n\"Answer: -218*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 54.2 in ascending order.\nAnswer: -1, 0, 54.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.383 + 0.667. Let g = q + -12.05. What is the closest to -0.1 in 1\/5, -4, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -3\/13 (b) 5\/3 (c) 12816\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*g - 2*g - g)*(-g**2 - 2*g**2 + 4*g**2)*(-3*g + 3*g + 2*g) to the form m*g**3 + s*g + n*g**2 + j*g**4 + r and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {u: 6, l: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -17, -39, -71?\n\"Answer: -5*y**2 + 3*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 3*b. Let i be p(-4). Let s = -2 - i. Suppose -s*n + 18 = -24. Solve -5*o = 3*x + x - n, -2*o + 11 = -x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/7, -5, 24?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 695328 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8796*z - 255114 - 382332 = 148306 - 99664 for z.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 3, p: 3, s: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 1597.\nAnswer: 1597.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -135 - -124. Let i(h) = h**3 + 10*h**2 - 11*h. Determine i(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -447 or -2?\nAnswer: -447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.3. Let t = 2 - 1.6. Let y = z + t. Sort -0.5, -2, y.\nAnswer: -2, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 49 = 1. Let i = a - -55. Suppose h + 2*k = 26, 0 = 2*h - 3*k + i - 89. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17298 - 7278. What are the prime factors of k?\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -0.5, 2, 295, -1\/3 in descending order.\nAnswer: 295, 2, -1\/3, -0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(100\/(-48))*((-60)\/(-16))\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, -60, -144, -266, -438, -672?\n\"Answer: -2*k**3 - k**2 - 41*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 11*l - 17. Let u = 4414 - 4403. What is x(u)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*y**2 + 66*y**2 + 479*y**2 + 43*y**2.\nAnswer: 449*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1169)\/1002)\/((-10)\/(-12) + -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 2*s = m + 8, -17 = 3*s - m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 100645477?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 - 89. Let k = -31 - -43. Suppose 2*h + k = a. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**3 + 117*s**2 + 664*s + 119. Give z(-14).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2016 divided by 44869?\nAnswer: -2016\/44869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304 = -14684*t + 14703*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 3*q + 7. Is m(5) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/30225 and -29\/65.\nAnswer: 30225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = p - 49, 0 = -4*p + 2*s + 196. Suppose 3*j - 328 = -4*h, 0 = -4*j - j. Let v = h - p. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w - 1830*w**3 - 4*w**4 + 1830*w**3 + (-3 + 3 - w**4)*(-3 + 7 - 3) + (-2*w**4 + 2*w**4 + 2*w**4)*(0 - 4 + 2).\nAnswer: -9*w**4 + 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 247986 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20098 + 20097.964668. What is j rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(-5) - (-7)\/(-35). Suppose -2*d = -d + 5*m + 16025, -l*m = 2*d + 32020. Round d to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -16*x**3 + 20*x**2 + 27*x + 195. Is u(-13) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 11. Let s be (12\/5)\/((-2)\/d). Solve -4*b + 2 = -3*w, -s*w + 2 = -2*w - 3*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6206\/33 at most as big as -189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -5 - (-6 + (3 - 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130706396 to the power of 1\/2, to the nearest integer?\nAnswer: 11433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 354*0.5\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 5:56 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27.07 at most as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*z**2 + 2*z**2 - 2*z**2)*(-3*z - 1 + 1) as o + r*z + l*z**3 + s*z**2 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-9)*((-368)\/(-60) - 6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + 4*d**3 + 3*d + (0*d**2 + 3*d**2 - d**2)*(d + 3 - 3) + 2*d + d**3 - 2*d + 4 - 4 + d**3 + (-3 + 3 + 2*d)*(2*d**2 - 3 + 3).\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2557*c + 3*r = -2554*c - 123, -4*c + 5*r = -169 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 2*k - 12, -27735*k + 27738*k - 18 = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**6\/20 - x**5\/30 - x**4\/6 - 3*x**2\/2 - 9. Let q(g) be the second derivative of t(g). Factor q(c).\nAnswer: 2*c*(c - 1)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**3 + 3*f**2 - 2*f + 2. What is the remainder when j(2) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*r + 2 - 8, 15 = 3*a + 5*r. Let v = a - -6. Calculate the remainder when 3 - (8\/(-6) + (-220)\/6) is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 147695832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-10)*(-43 + 13). Suppose -2*p + w = 5*a, -4*a - 2*p = -6 - 24. Let m be (a\/(-12))\/(14\/6). Are m and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - (24 - (-17 + -10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 8*b**2 - 9*b + 7. Calculate r(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/12 - 89\/(-4). Let l = m - 8. Calculate the smallest common multiple of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73527739543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*sqrt(77))\/sqrt(11) + 5 + -2)**2.\nAnswer: -28*sqrt(7) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 10:47 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 587 - 4*g + 3*g + 601 + 605 - 1793.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -2)\/((-49 - -48)*(-1)\/(-43)). Solve 127*f = u*f - 12 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 3. Let n be i(5). Let o(j) = 2*j - 2*j - n*j. Let f(k) = -495*k - 77. Let x(s) = 26*s + 4. Let z(w) = 4*f(w) + 77*x(w). Give -16*o(c) - 5*z(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1190635399, 1190635398, 1190635397?\nAnswer: 1190635396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111110 (base 3) to base 10.\nAnswer: -3279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*d + 2*d**2 - 2 - 145*d**3 + 292*d**3 - 148*d**3 - 2*d**2 as g + u*d + x*d**2 + s*d**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -56*f**2 - 20*f - 60. Suppose -11*s + 9*s + 6 = 0. Let p(i) = 8*i**2 + 3*i + 9. Let b(v) = s*y(v) + 20*p(v). Let j(l) = 42*l**2. Calculate b(j(x)).\nAnswer: -14112*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768508 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4539\/(-712))\/((-13)\/((-312)\/18))?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgsf when four letters picked without replacement from ahhrfarsgaffgfhfaf.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2*b**3 + b**2\/2 + 419. What is a(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1626*j**2 - 2 - 5284*j**2 - 856*j**2 in the form d + n*j**2 + s*j and give n.\nAnswer: -4514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.0194 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**3 + 14*i**2 - 12*i + 32. What is j(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 134780*g - 2270706050.\nAnswer: -2*(g - 33695)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 10*g. Let m(l) = l + 54. Let d(f) = -f - 24. Let n(a) = 9*d(a) + 4*m(a). What is n(b(y))?\nAnswer: 5*y**2 - 50*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 0 + 0*c**6 + 0*c**5 - 23\/42*c**7 + 0*c**3 - 104*c - c**2 - 19\/6*c**4. What is the third derivative of g(z) wrt z?\nAnswer: -1380*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + 5*k + 3. Let x(n) = -2*n - 2. Give -4*x(c) - z(c).\nAnswer: -4*c**2 + 3*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514307349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b. Let h = 21 - -2. Let k(l) = -20*l + 42*l - h*l. Calculate k(o(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68735 divided by 23.\nAnswer: 68735\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*a = 12, -3*a + 2*a = -3*j + 11. Let q(d) be the second derivative of 0 - 1\/18*d**4 + 2\/9*d**3 - 1\/3*d**j + 3*d. Let q(g) = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*c + 18 = 4*i, 5*i = -3*c + 23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -6 in ascending order.\nAnswer: -6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 - 101 - ((-44 - (-3 + -2 - -1)) + 3).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-22 + 2)*42\/24*-13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1309 - 1308.55. What is the nearest to i in -2\/3, -0.4, -3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53057069?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -398 + 404. Let u(p) = -6*p**2 - 6*p + 6. Let y(r) = r - 1. Calculate t*y(d) + u(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1632121399, 3264242798, 4896364197, 6528485596, 8160606995?\nAnswer: 9792728394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 559, 2196, 4925, 8746, 13659, 19664?\n\"Answer: 546*x**2 - x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 + -0.05. Let h = 0.31 + u. Which is the closest to 2? (a) 0.2 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/14)\/((-1)\/(-7)). Let m be 14\/6 - f\/(-15). Solve 0 = -5*w + m*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 24 = -12*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 + 26\/(-4). Let t(v) = 5*v + 6. Let l(r) = 27*r + 29. Let d(k) = 2*l(k) - 11*t(k). What is d(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -20*h. Let s(w) be the second derivative of 13*w**4\/12 - w**3\/3 - 2*w - 660. Calculate o(s(f)).\nAnswer: -260*f**2 + 40*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.2, 1, 3 in ascending order.\nAnswer: 1, 3, 11.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327300456*p**3 + 3*p**2 - 3*p**2 - 327300453*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 975 = -9*l. Suppose -33*v = -21*v - 1560. What is the greatest common factor of l and v?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -311999, -312010, -312031, -312062, -312103, -312154, -312215?\n\"Answer: -5*m**2 + 4*m - 311998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174578.36399983 + 174577.364. Let s = -34 - -35. Let r = v + s. Round r to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 10*v = 0, v = -4*j - 8. Let a = 10 + -15. Sort -10, a, j in increasing order.\nAnswer: -10, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9303.\nAnswer: 3, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 + 2927*a**2\/3 - 8754*a.\nAnswer: -a*(a - 2918)*(a - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 5*d**3\/3 - 9*d**2\/2 - 23*d - 186. What is the remainder when 40 is divided by z(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 122\/7 (c) 4\/9 (d) 0.25 (e) 2\/17 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -249*r - 222*r + r**2 + 930*r - 196*r - 3*r**4 + 2*r**3 - 198*r as n*r + c*r**4 + w*r**3 + a + y*r**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*u + 4, -352*z + 353*z = -4*u - 14. Let r be (1\/2)\/(5\/30). Solve r*g = z - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 13, v: 3}. What is prob of sequence vv?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -45*x - 347. Determine d(-9).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 34*v + 148. Let c be s(-7). Let h = c - -222. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 292.99625 - 293. Round r to 4 decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Let y(c) be the second derivative of c**4\/12 - c**3\/3 + 34*c**2 + 7*c. List the prime factors of y(x).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 16 + 1 + 12. Determine g(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 9*c**2 - 15*c + 4. Give r(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1812 divided by -71.\nAnswer: -1812\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, -1, -3, -1\/51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-56))\/(3\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 + 2*i + 11. Let k be y(-3). Let p = k + 25. Solve -3*u + p*f + 3 = 0, u = -u + f + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + a - 2. Give s(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7083128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -16*l**2 - 5*l + 6. What is v(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (48\/10)\/(4\/450). What is the common denominator of (-2)\/9 + 2469\/c and 63\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -983*k**3 - 11*k**2 + 32*k. Let y(w) = -328*w**3 - 4*w**2 + 12*w. Calculate -8*g(f) + 22*y(f).\nAnswer: 648*f**3 + 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 + 94*w**3 - 2893*w**2 + 32148*w - 116964.\nAnswer: -(w - 38)**2*(w - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3))**(-1\/7)\/(c**(-1\/2))**(-28) assuming c is positive.\nAnswer: c**(-95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(36) + -2*sqrt(3600) + sqrt(396)\/sqrt(275))\/((-1*-5*sqrt(96) + sqrt(96))\/sqrt(8)))**2.\nAnswer: -94*sqrt(3)\/15 + 2284\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(0 + 11) - -1. Let i be 6\/(-24) + s\/24. Is i bigger than 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19080*m - 5*w + 125 = 19094*m, 0 = m + w - 34 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*x**2 - 6*x + 23*x + 30*x + 19*x.\nAnswer: 191*x**2 + 66*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 456027.2km?\nAnswer: 456027200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 1\/3 - (-18450)\/1107.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -261 + 261.1. Let x be 98\/(-63) + 2 + 0. What is the nearest to i in x, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-11 - (-15 + -4 + 13)) - (-20 + -65)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13812231 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1810.023 + 1810. Sort 2\/3, c, -2\/15 in descending order.\nAnswer: 2\/3, c, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 966*x**2 - 965*x**2 - 1 - x + 5*x**4 as o*x**3 + c*x**4 + a*x + g + r*x**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5*(sqrt(1053) + sqrt(1053)*3) - ((1*sqrt(65))\/sqrt(5) + -5)))**2.\nAnswer: 7160*sqrt(13) + 1666232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.63521 years to millennia.\nAnswer: 0.09163521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15ec (base 16) in base 15?\nAnswer: 19e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3479 - -51479. Does 320 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534889555.\nAnswer: 5, 89, 1201999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -63fb (base 16) to base 12\nAnswer: -1298b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -2. Let z(l) = l**2 - 7*l - 15. Let m be z(y). Suppose 0 = -j - m + 3. Solve j = -2*b - 0*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i + 335*i - 59*i)*(-1 - 1 + 4) - 4*i - 11*i + 6*i + 1 + 2*i - 1.\nAnswer: 559*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3)*960\/128\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4*w + 2 + (158 + 56 - 56 + 314)*(1 - 1 + w))*(w - 13*w**3 - w) to t*w**3 + l*w + b*w**2 + m*w**4 + u and give m.\nAnswer: -6084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 + 5550*g + 1 - 1845*g - 1850*g - 2*g**3 - 1852*g - 41*g**2 to the form f*g + w*g**3 + n + t*g**4 + h*g**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 839 - 494. Is 97 a factor of 24*(-4 + q\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 12*h. Let s(u) = -u**2 + 6*u + 3. Let a(q) = -2*q**2 + 14*q + 7. Let x(y) = 6*a(y) - 14*s(y). Determine x(p(g)).\nAnswer: 288*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 + 4*l**3 + 27 + 34723*l - 34718*l + 2*l**2 - 3*l**2 to m*l**3 + v + u*l**2 + a*l + o*l**4 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + (sqrt(76) - (4 + 2*sqrt(76)))**2 - ((sqrt(76) - (3 + sqrt(76) + 2))*-1)**2)*-1.\nAnswer: -16*sqrt(19) - 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 1. Let a be 1*6\/(-2 - -4). Let c(d) = 162*d + 2882. Let p(y) = -2*y - 37. Let u(m) = -2*c(m) - 156*p(m). Determine a*u(x) + 24*z(x).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/10 - -1) + (-36)\/(-15). Solve -24*n + 46 = -w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(4320) - 5*(sqrt(4320)*-2 - sqrt(4320)))\/(6*-2*sqrt(96)) + 2)*5)**2.\nAnswer: -1600*sqrt(5) + 8400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 519637297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, 69, 181, 345, 567, 853, 1209?\n\"Answer: f**3 + 17*f**2 + 8*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**3\/(n**10*n) assuming n is positive.\nAnswer: n**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -210, -433, -740, -1137, -1630, -2225?\nAnswer: -2928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -37453491 to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {e: 3, n: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 944464793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 12*n**2 - 3*n - 31. Give c(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/(5720\/(-726))*(-2)\/(-15).\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -80*b + 7. What are the prime factors of r(-6)?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 + 3*w**2 - 102*w + 557. Is 31 a factor of s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 445 - 362. Suppose -i*f = -78*f - 4070. List the prime factors of f.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2105 rounded to three decimal places?\nAnswer: -0.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t + 5 = -31*t + 4*z, -5*z + 31 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14960055 and 8520.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 + 8*u**3 + 0*u**2 - 3*u**2.\nAnswer: 8*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-6)*(54\/60)\/3. Let k = -5.74 + 4.74. Which is the nearest to k? (a) -5 (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245148857?\nAnswer: 17, 14420521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4125875717?\nAnswer: 373, 11061329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1040 and 1360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 4:49 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.54 + 4.54. What is the third biggest value in v, 1, 0, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n - 1. Suppose -6 = 3*d - 2*t + 3, t = 3. Let z be j(d). What are the prime factors of z\/(-10)*5*6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 8*l**2 - 3*l - 50. Give o(11).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j**2 - 1. Let t(w) = 29*w**3 + 24*w**2 - 49*w + 2. Give -4*o(h) - t(h).\nAnswer: -29*h**3 + 49*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2, -1\/4, -4.4, -1, -0.4, -0.19, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 12*y + 19. Let t(q) = 2*q**2 - 67*q - 910. Let s be t(44). What is u(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 p when four letters picked without replacement from oppopoooop?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l - 2. Let m(g) = -16*g**2 + 4*g - 2. Calculate d(m(s)).\nAnswer: 96*s**2 - 24*s + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -g + 64, 3*f = 3*g + 284 - 512. Calculate the remainder when 404 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.6 + 0.6. Let t = -5 + n. Let y = t - -6.8. What is y rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-1470)*-6)\/(-5).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 213 = -115. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4976 - -4976. Solve -6\/5*l - 2\/5*l**2 + r + 2\/3*l**3 - 2\/15*l**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 3. Let q = -0.1 + 0.1. Let n(t) = -t**3 + t**2 + 42*t - 105. Let k be n(5). Which is the closest to q? (a) k (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*m**3 + 149*m**3 + 2*m**2 - 3816 + 3815 + 2*m to the form r*m**3 + x + q*m**2 + c*m and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s - s**2 - 13*s + 2 - 1 - 3. Calculate the remainder when 40 is divided by h(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -15*z + 17. Let p = -5 + -1. Let f(v) = -15*v + 16. Let i(t) = p*f(t) + 5*c(t). Find the first derivative of i(j) wrt j.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 43 + -19 - -6 - -36\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*z - 98*z - 3*n = 22, 5*z + n + 1 = 0. Does -387 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 1098. Suppose -3*q - u + y = 0, -2*q + 6*q + 5*u = 477. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3)*(41*n**4 - 26*n**4 - 963*n**4).\nAnswer: -2844*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/7)\/(22\/154) - (-112)\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j*j*(j**7\/j)\/j*j)\/j)*j)\/j)**(-1\/16)*(j**(-1))**(-2\/175) assuming j is positive.\nAnswer: j**(907\/2800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6*g = g - 10, -2*v + 10 = -5*g. Suppose 5*d + h - 4 = -0, v = 5*d + 5*h. Solve r - 2*o = -d, 0*r = r - o - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + -1 + sqrt(125))**2 + sqrt(25)\/sqrt(5) + -3 + ((sqrt(20)\/sqrt(4))**2 + -5 + -4)*2.\nAnswer: -19*sqrt(5) + 490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pggppcpgcgpgggpp. What is prob of sequence gccg?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3276 + -1261. List the prime factors of w.\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iihp when four letters picked without replacement from {p: 2, s: 1, i: 6, h: 5, f: 5}.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 - 292 = -2*r. Let m be -5 + r*4\/176. Let c = -10\/11 + m. What is the third smallest value in 3\/4, -2, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:11 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346089351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8153 - 8042. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/(-20)*8\/3. Let x be (s\/14)\/(6\/(-8)). What is l in 2\/7*l**2 + 2\/7 - x*l = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 4 - -3 - -1 - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(8) + sqrt(32)\/sqrt(4)) + -4.\nAnswer: -4 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46, 217, 602, 1273, 2302, 3761, 5722?\n\"Answer: 12*x**3 + 35*x**2 - 18*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0506? (a) 3\/4 (b) 63 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -2*h - 28. Let y = 8 - h. Let s be (2 - y)\/(1\/90). What is the highest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -37 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/9)\/(400\/(-120)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5)\/z)\/((z*z**(-1\/8))\/z))**(1\/11) assuming z is positive.\nAnswer: z**(-47\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 2*w - 2*w + (-3*w**2 + 5*w**2 + 0*w**2)*(-1 - w + 1) + 3*w - 3*w - 8*w**3 - 2*w**3 - w**3 + 2*w**3 + w**2.\nAnswer: -12*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2332 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {k: 1, s: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/13 (b) -19\/3 (c) 2\/17 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, -5, -3, 92, 50 in decreasing order.\nAnswer: 96, 92, 50, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -384 (base 16) to base 7.\nAnswer: -2424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 1174124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -17.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 3*s + 5*o - 25, -5*s = -4*o + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-24)*-3*46\/391?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/119 and -109\/14?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + 5*(sqrt(80) + -1 + sqrt(80)))**2 + ((sqrt(80)*2)**2 + 2 - (sqrt(80) - (1 + sqrt(80))*-3)).\nAnswer: 144*sqrt(5) + 8323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5922*y**3 + 3*y + 2*y**2 - 3986 - 2*y**2 + 3918*y**3 wrt y.\nAnswer: -12024*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 32. Let r(k) = -24065*k - 64. Give r(s) - 2*v(s).\nAnswer: -24069*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/1310 and -29\/393.\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/8 + 5 + 0. Let c(i) = -139*i**2 - 3*i + 212. Let x(j) = -417*j**2 - 8*j + 635. Let w(a) = q*x(a) - 8*c(a). What is the derivative of w(y) wrt y?\nAnswer: -278*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 2. Let m be -1 + 3*-2 + -1. Let g be i(m). Is (-554)\/g + (-4)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-40))\/(-2 + 2*(-7)\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323473091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -14 - 6. Let x = -908 + 937. What is the least common multiple of t and x?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 1)*5\/10 + 61. Suppose 4*n = -5*z + 324, -2*n = z - 4*n - p. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 6:46 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 4*m**2 - 2*m + 2. Let g be t(-2). Let j be 9\/4 + (-4 - g). Is j >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 480 and 384?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m - 5*k = 29, 4*m + 3*k + 11 = 0. Let l = 6 - m. Suppose -i + l - 1 = 0. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l + 26119 = 26209 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwpwpkkwpuk. What is prob of sequence pku?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/3 less than or equal to 0.16633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0)\/((-5)\/20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27196 + 5447 = -7*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 806351.8nm?\nAnswer: 806.3518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 163 + 165 - 314 + (3 - 10 + 1)*(3*i + i - 5*i) to h*i + a and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 3*f**4\/8 + f**2. Let l(p) = -p**2 + 2*p**2 + 0*p**2. Give s(l(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -3*a**2\/2 - 12*a + 69. Suppose 4 + 21 = -5*u. Let b be f(u). Solve 0 = p - b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + c - 6 - 2*c**3 - 5*c**2 as q*c**3 + y*c + u*c**2 + w and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000067413489 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 1361289?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, -320757 in ascending order.\nAnswer: -320757, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 12. Suppose 2*f + 40 = i, z*i - 88 = 3*f + 20. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + h**2)*(30*h + 44*h + 16*h)*(2 - 4 + 3).\nAnswer: 90*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 9*g**2 - 16*g - 16. Determine h(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*56\/(-7) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 20. What is the units digit of ((-8)\/5)\/(n\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42793692 divided by -40069?\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -4*i**7\/21 - 4*i**6\/15 + 3*i**5\/10 + i**4\/3 - i**3\/3 + 3*i. Suppose z(l) = 0. Calculate l.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12604 and 1519840.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-6 - -4)) + -2 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408044710?\nAnswer: 2, 5, 17, 41, 58543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - m**2 - m + 2. Let a(f) = -23*f**2 + f - 2. Let h(y) = a(y) + s(y). Factor h(b).\nAnswer: -b**2*(b + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b149 (base 13) to base 2.\nAnswer: -101111101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -676*o + 666*o = -90. Solve -w - 5*j = 29, -12*w - 2 = -o*w - 2*j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**3 - 6*k**2 - 6*k + 5. Suppose 4*p + 10 + 10 = 0. Let c(x) = -4*x**2 - x**3 - 5*x - 2*x**3 + x + 3. Let z(i) = p*h(i) + 7*c(i). Calculate z(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 49, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 - 14?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*r. Let p(x) = -x**3 + 9*x**2 - 7*x + 1. Let b be p(10). Let i = b + 178. Solve -2 = 2*o, r*n + 2*o - i = o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.193 + 93.193. Let c = y + -92.943. Round c to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*t**3 - 2*t - 4*t + 144*t**3 + 6*t + 0*t.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 550\/(-175) - 67\/(-21)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -32\/3*h**3 - 44 + h**4 - 18*h**2 + 0*h. Determine k so that o(k) = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7257 and 202311.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 353090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37854 and 110835?\nAnswer: 155390670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 42?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1952826 or -1953036?\nAnswer: -1953036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c = -2. Let a(f) be the third derivative of -f**6\/60 - f**5\/20 + f**4\/24 + f**3\/3 + f**2. Is 3 a factor of a(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l - 23. Let z be k(28). Let j = 317 - z. Which is the second biggest value? (a) 4\/5 (b) j (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2\/13, -2, 25, -231, -3\/2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((75\/13750)\/(44\/(-660)))\/((-24)\/10)?\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*96.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37618573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 287*p**2 + 40*p**6 + 39*p**6 + 42*p**6 - 125*p**6 + 158*p**3 + 278*p**3 wrt p?\nAnswer: -480*p**3 + 2616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 6 = -30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjr when three letters picked without replacement from {j: 1, v: 2, y: 1, q: 1, r: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*(-3 + (sqrt(3) - sqrt(9)\/sqrt(3)) + -4))**2.\nAnswer: 19600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/5 (b) 2 (c) -7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u + 1. Let h(w) = -114*w - 9. Let f(r) = 2*h(r) + 19*z(r). Let m(v) = -v - 1. Give -f(o) + m(o).\nAnswer: -20*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -26*v + 14*v + 19*v - 3*v. Let u(b) be the second derivative of b**3\/2 - 6*b. Calculate u(t(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 80 = 180. Calculate the remainder when 449 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70890.76ml in litres?\nAnswer: 70.89076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**3 + 6*w**2 - 65*w - 309. Calculate o(-7).\nAnswer: 1469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/18, 0, -1\/39?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - -0.35. Let y = -8 + 7. Let d = 5452 - 5448. Which is the closest to -1\/3? (a) s (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 31*y**2. Let i be q(1). Let r = i + -20. What is the remainder when r is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384471122 to the power of 1\/2, to the nearest integer?\nAnswer: 37208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020001 + 1102?\nAnswer: 2021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrzt when four letters picked without replacement from ggtrrtttzttztt.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 20. Suppose -3*u - 151 = -p*m, -2*m + 4*u + 68 = -82. What is the units digit of 1006\/7 + 22\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-18) - (-15)\/2. Solve -4*j + 2*j = -t*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2012532000 to the nearest 1000000.\nAnswer: 2013000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -11. Let h be 28\/p - (1 + 1). Are h and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 128\/5. Let p = -2 + a. Factor 3\/5*t**2 + 0 + p*t.\nAnswer: 3*t*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 336, 642, 948, 1254, 1560?\n\"Answer: 306*t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 9481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*o + 3785 = 23*o + 1041 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47833307699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 16. Suppose -2*i = -4*v + 74, -2*i = -5*v + 109 - n. Solve g + 2*q - v = -3*q, -4*q + 12 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 8*k - 8. Determine c(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o. Let y(p) be the third derivative of p**4\/8 - 29*p**2. What is m(y(f))?\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -28*u + 35*u. Let v(m) be the first derivative of 0*m - 13 - 7\/2*m**2 + 1\/3*m**u. What is v(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 249, 458, 659, 852, 1037, 1214, 1383?\n\"Answer: -4*x**2 + 221*x + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/5)*(s\/(s\/s**(2\/15)))\/s)\/(s**7\/(s**(-3)*s))*((s\/(s**(4\/5)\/s))\/s**(3\/5))\/(s*((s\/s**(-1\/6))\/s)\/s*s\/s**9) assuming s is positive.\nAnswer: s**(-61\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16056*v**2 - 72078254*v + 72078254*v to the form h*v + r + c*v**2 and give c.\nAnswer: 16056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 334*k**3 + 45*k**5 - 334*k**3 + k**5 - 3*k**2 + 3*k**2 + (0 + 2*k**3 + 0)*(2*k**2 - 2 + 2) + 0*k**5 + 0*k**5 + k**5 - k**5 + k**3 - k**3.\nAnswer: 50*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -155, 8, 76, -203 in increasing order.\nAnswer: -203, -155, 8, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 85 - 101 - (-86)\/4. Let a(h) be the second derivative of 24*h - b*h**3 + 0 - 22*h**2. Differentiate a(r) wrt r.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*b - 127 = -43, -4*h + 99 = b. Suppose -4*k + h = -8. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2801 (base 9) to base 12\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at most 3489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-10))\/((-1)\/5). Let u = -21 + 25. Find the first derivative of -u - z**4 + 3*z**f + 3 wrt z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-2 + 8 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42746019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2538)\/18)\/((-10 - 0) + (10 - -111)\/11).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 8:08 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -22*b**3\/3 + b**2 + 1804*b. Calculate c(1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 51*o - 608. Let w be i(17). Calculate the greatest common divisor of 222 and w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 5:26 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54744.\nAnswer: 2, 3, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h + 0*h + 3*h)*(97 - 52 - 24)*((1 + 2 - 1)*(0*h + h + 0*h) + 2*h - 2 + 2) + 0 + 2*h**2 + 0 to f*h**2 + z*h + r and give f.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2682*c + 1381. Give u(-1).\nAnswer: -1301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7217.2091 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/9 - (-310)\/15. Suppose -n - r = 42. Let h = -27 - n. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.051 + 0.051. Let y = 0.87 - -0.13. What is the closest to y in 2\/3, m, -6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11154083 a multiple of 1165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 59 + (-35 - -15 - -6 - -4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 123*b + 1222. What is s(-7)?\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, k: 10, s: 3, u: 1}. What is prob of picking 1 w and 1 k?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + (2 - -4)\/(-3). Suppose x - c*x + 5*l = -19, 3*l = -9. Suppose -2*i + 40 = x*i. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -151035743 + 1?\nAnswer: -151035742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**5*u)**(-1\/34)\/((u\/(u\/(u\/((u**(2\/13)*u)\/u)*u)*u))\/u**(-1\/17)) assuming u is positive.\nAnswer: u**(-491\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*n + 32 = 0, -2*g - 2 = -2*n - 16. Suppose 4*x = w - 24, -4*w = -g*w - 4*x + 72. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 take away 3918547.12?\nAnswer: -3918547.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195722620.\nAnswer: 2, 5, 9786131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589626 = 14*i + 10*i + 3*i. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 31 + 13 = 4*z, 0 = -5*y + 3*z - 55. Let n = 33 - y. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, 3, 8, -4\/7, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 1)*(q + 5*q + 0*q).\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4 - s**2 - 1 - 7*s - 2. Let c be h(-6). Let w = 12 - c. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23)\/(-299) - (-3897)\/39. Calculate the highest common divisor of 3150 and w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1746 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2254472874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + sqrt(200)*-1 - sqrt(200)) + -3 + -4 + -5)*-6)**2.\nAnswer: 10080*sqrt(2) + 30564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjf when three letters picked without replacement from {p: 2, j: 7, f: 4}?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c + 3*x = 5*c + 2*x + 14, 6*c + 7 = 9*c - 2*x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 202*z + 16 + 146*z.\nAnswer: -56*z + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20330743291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2110 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 40 = 4*g, -2*d + 156 = g + 145. What is the remainder when 11 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1065*k - 65934 = -757*k + 40*k for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3, -49, -3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afg when three letters picked without replacement from wgsgaufuugsu?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534 = 4*x - b - 195, -4*x + 726 = -2*b. Let l(r) = 3 - 3*r + 186*r**2 - 1 + 0*r - x*r**2. Calculate l(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 c when four letters picked without replacement from {c: 12, u: 3, h: 3}.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.1, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 15 = -0*h. Let z be 34\/6 - 4\/6. Put h, z, 4 in ascending order.\nAnswer: h, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0*n - n - 21, -3*n - 54 = 5*v. Let f be 6*(-24)\/v + -1. Solve 7 = -p - 4*d - 1, 5*p - 5*d + f = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22287246 a multiple of 771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6102525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/((k*k**(1\/2))\/k*k))*k*k\/(k*k**(-2)\/k))**(-1\/7)\/(k*(k*k**(2\/9)*k)\/k*k*k*(k*k**(2\/11)*k)\/k*k**(-5\/17)) assuming k is positive.\nAnswer: k**(-142279\/23562)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 275\/66 - (-7)\/(-42). Solve 0 = -b*k - 2*g - 3 - 5, 5*g + 20 = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*g + 77*g - 36 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -319.9 + 320.5. Which is the nearest to o? (a) 2\/11 (b) -2 (c) 2\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12287 divided by -219.\nAnswer: -12287\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3 + 8*d - 4*d**3 - 6*d**3 wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 1. Suppose -t + 4 = -v, -20 = -0*t + 5*t + 3*v. Let z be o(t). What is the greatest common divisor of 12 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/5*(-216)\/(-6156).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-14)*((f*f*f**10*f)\/f)\/f)**8 assuming f is positive.\nAnswer: f**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -1\/2*y**2 + 0*y - 1\/4*y**4 + 0*y**3 + 4. Calculate m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 18*q - 193. Let a be x(11). Solve -4*c + 4 + 9 = -5*j, -5*j - 40 = a*c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 13*t - 40. Suppose 4*k - t*v = 324, k - 6*v = -3*v + 79. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1788 + 6*h**3 - 8*h**3 + 1777 - 3564 - 24*h to the form o + u*h**3 + z*h + f*h**2 and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times 0.5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-360)\/630)\/((-5)\/((-133805)\/(-2))).\nAnswer: 2, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1365*c + 31720188 - 31720188 - 1364*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**2\/6 + 20302120*f\/3 + 206088038247200\/3 = 0.\nAnswer: -20302120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -685105.268 to the nearest one thousand.\nAnswer: -685000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1635, -3219, -4813, -6423, -8055, -9715, -11409, -13143?\nAnswer: -14923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 2*c**2 + 2*c. Suppose 0 = 33*b + 11 + 55. Let i(k) = 2*k**3 - 5*k**2 + 5*k - 1. What is b*i(s) + 5*m(s)?\nAnswer: s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -151, -304, -457?\n\"Answer: -153*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.2, 2, 24376 in increasing order.\nAnswer: 0.2, 2, 4, 24376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8*3.9\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.4 + -9.7. Let m = w + 36. What is the closest to -2 in m, 1, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 25*u + 2*j = 14, u = j + 1. Let s(g) = 3*g - 7. Let p(t) = t + 1. Determine u*p(n) + s(n).\nAnswer: 7*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -324 - -815. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-85)\/(-102))\/(-3*1\/(-6)*-2)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 92531.908 to the nearest 1000.\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3940*s - 1. Let q(t) = 7898*t - 3. Calculate -3*q(l) + 7*z(l).\nAnswer: 3886*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*m - 5*j - 42, 0 = -2*m - j + 9. Suppose 0*b = -3*b + 2*g + 4, 2*g + 2 = 4*b. Put m, b, -7, -1 in ascending order.\nAnswer: -7, b, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64362 and 1306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 256279287.00000014 - 256279293. Let u = -6 - x. What is u rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*r + 3*k, -6*r + r - 6 = 4*k. Which is the nearest to -1\/4? (a) r (b) -5 (c) 0.04 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/14447225 and 12\/265?\nAnswer: 765702925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 3. Let u be f(-7). Factor 0*i - u*i + i**2 + i.\nAnswer: i*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1970*s**3 - 2*s**2 + 2*s + 2. Let b be f(3). Round b to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b + 291*b + 167*b - 10924 - 212 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 505, 674, 945, 1324, 1817, 2430, 3169, 4040?\nAnswer: 5049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(105\/(-4))*20\/(-110)*-55.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1253*j + 1263*j + 0)*(-2*j + j**3 + 2*j) in the form h*j + v*j**3 + d*j**4 + u*j**2 + w and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -871 by 66180.\nAnswer: -871\/66180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -66.58. Let f = i - 0.551. What is f rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16438, -7, 64 in decreasing order.\nAnswer: 16438, 64, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.093 from -780728.\nAnswer: -780724.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 18*m**2 + 17*m + 1. Let t be i(-17). Suppose 0 = -16*r - 7*r. Sort t, r, -3.\nAnswer: -3, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*l + 47, 4*l + 0 = -5*t + 129. Let p = 14 + -11. Suppose 12 = m + p. What is the remainder when t is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -5, 4, -49, -1, 0 in descending order.\nAnswer: 4, 0, -1, -5, -27, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1808 divided by -4\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 86724709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, r: 1, y: 2, z: 9}. What is prob of picking 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/273 and -35\/27?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -28. Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 56 - 2 = 0. Suppose -2*l + 35 = -w. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.1 + -2. Let u = 33 + -33.04. Let s = u - -2.04. What is the nearest to -1 in s, q, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 e when three letters picked without replacement from pppppppepppppeppppp.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3055 + -9287\/3. Let x = v + 40. Let l = -136 - -141. What is the closest to x in 2\/11, l, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210 + 22000202?\nAnswer: 21221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1 - 2) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (1 - 9) + (35 - -36).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, j: 3, k: 1, p: 1, h: 3}. Give prob of picking 2 j.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**3\/2 - f**2 - 83*f. Let z(q) be the first derivative of 3*q**2\/2 + 2*q + 10. Determine 4*b(a) + 3*z(a).\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (9 - (-5 + 23 - -8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5)**35 assuming g is positive.\nAnswer: g**175","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 51 - 1155. Suppose 150 = 2*o - 5*n, 0*o - 4*o + l = -4*n. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnn. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - 22*k**2 + 20*k - 11. Let o(f) = -3*f**3 + 33*f**2 - 30*f + 17. Let b(p) = 5*o(p) + 8*v(p). Let c be b(10). Is 2*43*c\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61.5 + 0.2.\nAnswer: -61.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/7*f**4 + 1\/7*f**2 + 1\/7*f + 0 - 1\/7*f**3 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 - 2. Let o(r) = -16*r**2 + 11. Let g(b) = -11*n(b) - 2*o(b). Let y(d) be the second derivative of 25*d**3\/6 - 2*d - 30. Calculate g(y(x)).\nAnswer: -625*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1097 not equal to -3299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2706*y**2 + 1422*y - 11. Let v(u) = 903*u**2 - 474*u + 4. Let f(j) = 11*v(j) + 4*x(j). Find the second derivative of f(q) wrt q.\nAnswer: -1782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1219, 1229, 1251, 1291, 1355, 1449, 1579?\nAnswer: 1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*v = -19, 4*v + 2 + 30 = 4*p. Suppose 153 = p*r - 0*r. Let k = r - 35. Solve -4*c + 2 = -2*m, -c + 0*c - 5*m - k = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 10 = -n. Let j be (1 + n)*16\/3. Suppose -3*z - 2*z + 40 = 0. Calculate the greatest common factor of z and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*w**4 + 2*w**3 + 11199*w**2 - 2488661*w wrt w.\nAnswer: 192*w**2 + 12*w + 22398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1581, 5854, 12979, 22956, 35785?\nAnswer: 51466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 809 + -815.89. Let b = z + 7. What is b rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**5\/140 + k**4\/84 - k**3\/42 - k**2\/14 - 3*k. Factor p(u).\nAnswer: (u - 1)*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f + 3*r + 8 = 0, -5*f - 2 = -r. Let x be 19 - (0 + (-3)\/f). Suppose 7*t + x = 9*t. What is the greatest common divisor of t and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 22*r = 66577. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1372 and 10?\nAnswer: 6860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -315 - -5?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -25984420 divided by 72380\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10696.\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + -4 + sqrt(275) - ((2*sqrt(121))\/sqrt(11) + sqrt(11) - (sqrt(132) - ((sqrt(132) - -1*sqrt(132) - sqrt(132)) + sqrt(132)))\/sqrt(12))).\nAnswer: -12 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11*u**2. Let w(x) be the second derivative of -5\/24*x**4 + 0*x**3 + 3*x**2 + 0 - 20*x. Let c(a) be the first derivative of w(a). Determine c(j(p)).\nAnswer: -55*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 441, 987, 1751, 2733?\nAnswer: 3933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*p + 1. Let n = p - -9. Let o = 517 - 467. What is the highest common factor of n and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 9:20 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 279 and 7409.\nAnswer: 66681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 209\/217678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/6 + 126*n**2 - 31752*n + 2667168.\nAnswer: -(n - 252)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3298358*d + 214271?\nAnswer: 3298358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = v + 5, 2*v - 2 + 15 = -5*z. Let m = -9 - 2. Let u = -36 - m. Is v at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/280 and 103\/140?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 3*d - 2217*d**2 - 5 - 5*d + 3 + 5*d to k*d**2 + h*d + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3131*h = -3468*h - 18198 for h.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -10*u + 2228. Suppose -u = -4*c - 173. Calculate the greatest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9*y = -360. Let l = -68 - y. Let q(u) = -2*u. What are the prime factors of q(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 9*h - 16. Let f(l) = 4*l**2 + 15*l + 1. Let g be f(h). Suppose 19*d - g = 14*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0*h)**(-49)\/(h**18\/h**(-5\/4)))**(-35) assuming h is positive.\nAnswer: h**(9555\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -26. Let a = y - 16. Suppose a*h - 384 = -h. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqg when three letters picked without replacement from qaqqqaaaqqaqqgg.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 + 3.08. Let y = 39 - 41. Which is the closest to -0.1? (a) q (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9332, 9331, 9328, 9323, 9316?\nAnswer: 9307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -100100010100110?\nAnswer: -100100010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 225, 448, 671, 894, 1117?\n\"Answer: 223*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 + f + 2. Let i(d) = -4 - d + 222*d**2 - 218*d**2 + 2. Calculate -2*i(a) - 3*n(a).\nAnswer: a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 0*o + 0*o**4 - 1\/3*o**3 + 0*o**5 + 4 + o**6 + 0*o**2. What is the third derivative of i(a) wrt a?\nAnswer: 360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -38.261.\nAnswer: 7.6522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1220921?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6\/265 (b) -16\/5 (c) 0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + -2*sqrt(1008) + 4 - ((0 + sqrt(1008) + 3 - sqrt(1008)) + -4)*-4)**2*-3.\nAnswer: -12099 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 + -3124.18.\nAnswer: -3125.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, 0.5, 44?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*j - 4*i, 3*j - 5*j + 3*i = -22. Suppose j*f = 10*f. Sort f, 4, -2.\nAnswer: -2, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 31 = 9. Suppose -5*u + v = -0*u. Solve -4*y + l = -2*y, 3*l - 4 = u*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30738*w**3 + 1772*w**3 - 4484*w**3.\nAnswer: 28026*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 plus -35?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 18*i**2. Let c(v) = -1179*v - 2. Determine n(c(d)).\nAnswer: 25020738*d**2 + 84888*d + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(2\/17)\/p)*p)\/((p*(p\/p**3)\/p)\/p*p)*p\/(p\/(p*p\/(((p*p\/(p**(-2\/7)\/p))\/p)\/p*p)*p))*p**(5\/3)*p*p*p)**17 assuming p is positive.\nAnswer: p**(3664\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/2, -9.5, -284, -0.09 in descending order.\nAnswer: -0.09, -0.4, -1\/2, -9.5, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 2*j. Let d be u(0). Suppose 17*m - 54561 + 2422 = d. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 4, -4*b - 5*i = -0*b - 3. Suppose -r = x - 889, -2*r + 0*r + b*x + 1790 = 0. What are the prime factors of r?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330852067.\nAnswer: 61, 2791, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 622 + -621.206. Round a to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 3*f - 10. Let q be u(-11). Let i = -94 - q. Suppose 3*p - 4*m + 56 - 179 = 0, i*p - 4*m - 168 = 0. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*(sqrt(180)\/sqrt(5)*-4 - sqrt(36))\/(sqrt(1200) + sqrt(1200)*1 - sqrt(1200)) + 2 + -1.\nAnswer: -10*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from {f: 1, l: 1, k: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1356 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(150)*1*-2 - sqrt(150)) + sqrt(150))\/((sqrt(3) - (sqrt(192) - -3*sqrt(192))) + sqrt(3) + sqrt(3)))**2.\nAnswer: 5000\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14314123?\nAnswer: 491, 29153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*l - 8*l - 1602 = 1423 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112895 + -225789\/2. Suppose -2*c = -5*h, c = 6*c - 3*h. Factor -v*s + c - 1\/4*s**2.\nAnswer: -s*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 2*z**2 - 17137 - 17121 + 34258.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, 5, 13, 75 in descending order.\nAnswer: 75, 13, 5, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -658.02 + 658. Suppose 3*j + 22 = 3*c + 2*c, -3*j = c - 8. Put x, -0.1, j in ascending order.\nAnswer: -0.1, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 387 + 84. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 3\/7, 0, 1, 196 in descending order.\nAnswer: 196, 1, 3\/7, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80250279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 10. Let m be i(8). Let y = -0.8 + -0.2. Put y, m, -0.3 in descending order.\nAnswer: m, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3*(sqrt(1584) + 3) - (sqrt(1584) - (sqrt(1584) + 2 + sqrt(1584))*-3))*4 + 3)**2.\nAnswer: -3840*sqrt(11) + 405604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162.639 greater than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 1. Let p be 21\/6*(-8)\/(-14). Suppose 3*k + 5*g = 28, -5*k + p = 5*g - 28. Determine u(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23883.6 kilometers to micrometers.\nAnswer: 23883600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -7*s**2 - s - 1. Suppose 3*a + 2 = a. What is m(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -167, -224, -313, -440, -611, -832, -1109?\nAnswer: -1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1114*x + 603*x + 730*x - 7227 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -150535?\nAnswer: -150541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b*k*m**3 + 286499*b*m**3 + 22586*k*m**3 - 3*k*m**2 + k*m - 5*k - m**3 wrt b?\nAnswer: -3*k*m**3 + 286499*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1175*u - 1647*u - 18663 = 13735 - 7000 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 37 = c + 43, -5*c - 3*z - 22 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 19*t + 24. Let j(p) = 10*p + 11. Let h(q) = 11*j(q) - 6*v(q). Let x be h(-6). Solve 2*i + 9 - x = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, 13, 1, 9 in decreasing order.\nAnswer: 130, 13, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427761416 a multiple of 1553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -87 * -65.7\nAnswer: 5715.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7131311 (base 9) to base 12.\nAnswer: -1332b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/70)\/((-501)\/2338))\/((-12)\/(-420)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2360 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 11:38 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2066.07 + 1136859.07. Let r = -1134797.400056 + v. Let d = r - -4.4. What is d rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -57\/1962404 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, 14, 51, 122, 239?\n\"Answer: 2*j**3 - j**2 + 4*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6750*d + 6752*d - 4*j + 8, 3*d - 3*j + 9 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*b*c - 243*b*m - 2*b - 1572159*c*m - 45978*m wrt c.\nAnswer: -13*b - 1572159*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 11*j = 72. Suppose 11*n - j*n = 468. List the prime factors of n.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -2013311?\nAnswer: -2013320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 18 + 19 - u)*(u + u - u)*(2*u - 10*u - 9*u).\nAnswer: 17*u**3 - 51*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4\/11 (b) 5\/4 (c) -2 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-339*a**2 - 175 + 175)*(a**3 - 5*a + 5*a) - 2*a**5 + 3*a**5 + a**5.\nAnswer: -337*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c + 4. Let n be g(-1). Let w(p) = -p**3 - 2*p**2 + 5*p + 3. Determine w(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36849.\nAnswer: 3, 71, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 6*o - 18. Let x be p(-6). Find the common denominator of (-1356)\/x*(-12)\/(-16) and 34\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 57*d - 1256. Give q(19).\nAnswer: -895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2\/5 (c) -1\/1105 (d) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + d = 5*p - 28, -12 = -3*p + 3*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 4:38 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -17*h - 4. Let j(w) = -8*w - 2. Suppose 5*s = 4*s + 4. Suppose 0 = y + s*y. Suppose o - 3 = -y*o - 4*a, 0 = 2*o - a + 30. Give o*j(i) + 6*c(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 16 = -2*o - 2*c, 2*o = -5*c - 16. Suppose x + 2 = 0, 0 = -4*t - 5*x + o*x - 14. Let d(k) = -4*k + 1. What is d(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -867, -5, -4, -20 in increasing order.\nAnswer: -867, -20, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 6\/11 (c) 0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 167. Let x = h + 108. Sort 2\/3, 3, -5, x in decreasing order.\nAnswer: 3, x, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 6\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a meter in centimeters?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11110101110111010 (base 2) to base 10\nAnswer: -125882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 35541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 235, 958, 2159, 3838, 5995, 8630?\n\"Answer: 239*s**2 + 6*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 117531.7 minutes?\nAnswer: 7051902000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270180 and 55.\nAnswer: 2971980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:14 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 - (0 - -1) - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -9. Suppose -j*k = k. Suppose k = -a + 37 + 41. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13681232 is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 668, 1379, 2396, 3731, 5396, 7403, 9764?\nAnswer: 12491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0016 - -41.4016. Let h = 58.5 - s. Let x = h + -17. Sort 0, x, -3 in ascending order.\nAnswer: -3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 33 + 0*f**3 - 56 + 4*f**3.\nAnswer: 6*f**3 - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -81, -97, -133, -195, -289, -421, -597?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 169*p**2 + 330*p - 24. Give q(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 12) to base 4\nAnswer: -3001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4665*8.\nAnswer: 3.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -9 + (26 - 1). Suppose 0*d - 2*d = -66. Let t = d - z. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2299\/(-1463))\/((-44)\/12)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1617 and -58\/2031.\nAnswer: 1094709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 <= -5569\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/4)\/((-1)\/4). Let j be 3\/(-4) + 42\/24 + 4. Is j > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -19. Let q(a) = a**3 - 4*a**2 - 2*a - 1. Let d be q(5). Is g bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*a - 5*r + 2, 4*a - 3*r = -9. Solve 5*x + 3*x + 32 = a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1398 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 4051 in decreasing order.\nAnswer: 4051, 10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - -57470?\nAnswer: 57465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13332 - -411?\nAnswer: -12421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 11. Let l(o) = o + 10. Let x be l(-16). Let f be r(x). Is 7 a factor of f + (2 + 1 - -24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*q**2 - 361*q + 248*q - 12 + 108*q to the form g + j*q + h*q**2 and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 3*n + 5, 3*q = -2*n - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -8. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/5 - 198*a**3\/5 - 196*a**2\/5.\nAnswer: -2*a**2*(a + 1)*(a + 98)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142 + -100. Let u = s + -41.99999932. What is u rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11775 = 5*v + s, -6*v + 2*s - 11760 = -v. Let t = 4713 + v. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k**2 - 2*k - 5. Let n(b) = b**2 + 1. What is -2*n(f) - w(f)?\nAnswer: 5*f**2 + 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -139, -127, -107, -79, -43, 1, 53?\n\"Answer: 4*x**2 - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863876 is divided by 1278?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**3 + 1 + 0 - 4*z**3 + (1 - 1 + z)*(1000*z**2 - 1479*z**2 + 1188*z**2) in the form s*z**2 + u*z**3 + a + n*z and give u.\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 - 4*u**2 + 11*u - 5. Let t be w(-5). Let s = 71 - 41. What is the highest common divisor of s and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -247 - -145. Let q = c - -120. Let s(r) = -r**2 + 28*r - 12. Does 27 divide s(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -85 + -193?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 78939*w + 140933 wrt w.\nAnswer: 78939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5*-505\nAnswer: 2525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2)*1) + -1 + (((sqrt(114)*-1 - sqrt(114))*2 - sqrt(114)) + sqrt(114))\/sqrt(6).\nAnswer: -3*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -15532?\nAnswer: -15514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q**2 - 25*q**2 - 11*q**2 as t*q + j + f*q**2 and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 189, 524, 975, 1536, 2201?\n\"Answer: -c**3 + 64*c**2 + 150*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/130 + (-48)\/165.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6*3)\/((-4008)\/(-24048))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*z**2 - 19*z**2 - 18*z**2)*(-2*z**2 - 5*z + 5*z) in the form f*z**2 + c + l*z**3 + a*z + k*z**4 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*q = -12, -3*w + 28 = -w + 5*q. Solve 0*z - 8 = w*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*w**3*y + 2*w**3 - 9044*w**2*y**2 - 113*w**2 - 4*w - 8 with respect to y.\nAnswer: 5*w**3 - 18088*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b**(-7\/5)*b)\/b))\/b)\/b)\/(b*b**(2\/9)\/b)*(b\/(b*b**0*b))**(2\/171) assuming b is positive.\nAnswer: b**(142\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*s + 6*s**3 + 148*s - 60*s**3 - 70*s wrt s.\nAnswer: -324*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17695.89 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(1*2\/(-6)). Suppose 8 + 4 = t*v. Calculate the highest common divisor of v and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 50*a - 1. Suppose 3*o + 4*t + 9 = 0, -2*o - 2*t - 2 - 2 = 0. Is y(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27505438783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24\/59 - -207\/944. Let o = p - 1\/16. Sort -1, 0, o in descending order.\nAnswer: 0, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33792 + -0.2.\nAnswer: -33792.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*m - 38*m - 37*m - 396 in the form c + h*m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -0.5, -58, 9, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -20454c?\nAnswer: -204550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 + -c?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**4\/4 - 8*q**3\/3 - 6*q**2 + 11*q - 1. Suppose -119*c + 415 + 656 = 0. Calculate m(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -549, 0.04, -1, -2, 1095 in increasing order.\nAnswer: -549, -2, -1, 0.04, 1095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, d: 2, q: 1}. Give prob of sequence id.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23 + 9324 - (-2 - 3).\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-14)*(-4)\/(-2). Let m = -1.4 + 1.5. Let v be 2\/(-12) + (-3)\/(-18). What is the closest to -1 in m, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 212689, 212741, 212795, 212851?\n\"Answer: v**2 + 49*v + 212639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -28. Let c be 2*(-3)\/f*9. Let s(y) = y - 7. Determine s(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-5 - 125\/30)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -348, -173, 118, 525, 1048?\n\"Answer: 58*v**2 + v - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 + 1)*(-2*o - 3 + 3) + 0*o + o + o - 7 + 4*o + 7 + 95*o - 164 + 164 to l*o + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -276 >= -4162\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. Suppose 0*v - 5*v = -n*h + 27, 5*v = 2*h - 1. Suppose -4*b = 4*y - 20 - 28, 5*y = 2*b + 32. Calculate the remainder when h is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -372*a**3*o - 8*a**3 + 94*a**2*o + a**2 - 346*a + 2*o + 5 with respect to o.\nAnswer: -372*a**3 + 94*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533678 is divided by 1424?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 41342420 (base 6) to base 4\nAnswer: 10203313230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 - 42 - 1006*w**3 + 96 - 23 - 43*w**3 to the form k + a*w**3 + b*w**2 + v*w and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3843 is divided by 3777.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/74188 and -95\/964.\nAnswer: 17879308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 10*p + 808. Let q = 102 - p. Let o be 2\/(-8)*q - (-26635)\/140. What is o rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1799549.\nAnswer: 1799549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -251211234 + -5?\nAnswer: -251211242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u. Let t(b) be the first derivative of -5*b**2 + 25*b - 4403. What is f(t(p))?\nAnswer: 60*p - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(-2\/3)*s)\/s*s**7*s*s)**(25\/4) assuming s is positive.\nAnswer: s**(175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3075 is divided by 65.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13843692823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1862.35259 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(2 + 3\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 17*b - 21. Let x = 95 + -78. What is the remainder when v(x) is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63926847*w**2 - 31963417*w**2 - 31963433*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*y + 3*l + 35, 0 = 2*y - 2*l - 16. Suppose 5*k - 1662 = -x, 0*x + y*x = 5*k - 1677. Does 33 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 1193*a - 9.\nAnswer: 1193*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 16*p = 2153. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.36 less than -82.83813019?\nAnswer: -18.47813019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b + 158. Calculate l(-65).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128\/111 + 353\/111. Which is the biggest value? (a) h (b) 0 (c) 4 (d) -33 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - g + 1. Let c(m) = 8*m**2 - 10*m + 5. Let l(n) = -2*c(n) - 14*r(n). What are the prime factors of l(14)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419538*b**2 - 2 + 2.\nAnswer: -419538*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**2 + 665*x**3 - 674*x**3 - 2*x**2 wrt x?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (-8)\/(-4)) + 11\/5. What is the third smallest value in -0.3, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 8, 25, 60, 119, 208, 333?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -129*w**2 + 7*w - 6. Let u(h) = -64*h**2 + 4*h - 3. Let x(y) = 2*l(y) - 5*u(y). Is x(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51463003133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -721 - -800. What is the greatest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 51. What is the second smallest value in -3\/8, c, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -42, -0.04, 2 in descending order.\nAnswer: 2, -0.04, -1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -83 * 55983\nAnswer: -4646589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 20\nAnswer: -23\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -4, 0, -2, -5, -40, 3 in decreasing order.\nAnswer: 3, 0, -2, -4, -5, -19, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2518243831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 3, 5, 8 in ascending order.\nAnswer: -4, 0, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2460\/(-6)*(-463)\/(-4630).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-23)\/d**9)**16 assuming d is positive.\nAnswer: d**(-512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7.8, 130061, -0.2, -1?\nAnswer: 130061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 892845 - -0.16.\nAnswer: 892845.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.323733 litres?\nAnswer: 9323.733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -12225*o + 25. Let h be v(-3). What is h rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10885 (base 12) to base 9\nAnswer: 33142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*f = -7*t - 121, -t + 5*f - 33 = 0. Let w = t + -557. What is w rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 81*o**2 - 239*o + 9. Determine c(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 6)*(0*b + b + 2*b) to the form q + n*b and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express a**4 + 12*a**2 - 7*a**3 - 48 - 47 - 48 + 0*a**2 + 144 as d + p*a**4 + l*a + w*a**3 + h*a**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 14 + 43*i**2 - 51*i**2 + 3 + 5*i. Suppose -2*k - 26 = -4*k. Calculate the remainder when m(-9) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -504bba6 - 11?\nAnswer: -504bbb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -444, -5, 4, 2, 7826 in ascending order.\nAnswer: -444, -5, 2, 4, 5, 7826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 3.8669576106.\nAnswer: -1.1330423894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 2. Let o(q) = -4*q + 2. Let c(y) = a(y) - o(y). Let n(v) = -v + v + 5*v. Calculate n(c(w)).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.3. Let v = d - 0.2. Let x = -37\/4 + 9. Which is the nearest to -0.1? (a) -3\/4 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1773*q - 101 - 5 = 5*i - 1776*q, 0 = -q + 27 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3 - 2*o + 5 + 1.\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (5 + (1 - 1)) - (14 + 0)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - z - 29 = 0, 3*p - z - 23 = -0*p. Find the second derivative of 1 + 3 - 20 + p*w**2 + w wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*(144\/80 - 1716\/(-220))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 1 - (2 - 5). Put -1, 2, 16, h in decreasing order.\nAnswer: 16, h, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298.56744 rounded to 0 dps?\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a day in hours?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 = 3*m - 0*m, -3*m + 3*l - 9 = 0. Suppose u - 3*u + 1 = f, 2*u + 24 = 4*f. Which is the closest to m? (a) -1\/5 (b) -3\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*c**2 - 2*c - 2*c**2 + 2*c as z*c + i + q*c**2 and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 7*u + 12. Let r be n(9). Let s = -2 + r. Let w(y) = y**3 + 12*y**2 + 3*y - 9. Is w(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 660 + 5*f + 19*f + 259 + 315. Give o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50352 divided by 25176?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -24*l**3 - l**2. Let s be b(-1). Let o = s - -7. Suppose -3*g = -117 - o. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u - u - 6 + 440*u**2 - 873*u**2 + 428*u**2. Let r(q) = 4*q**2 - 4*q + 7. Calculate 5*i(z) + 4*r(z).\nAnswer: -9*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 + y**2 - y**2)*(3*y - 3*y + 2*y**2 + (0*y + 3*y - y)*(0 - 2*y + 0) - 59*y + 26*y**2 + 59*y) as z*y**3 + i*y**2 + g*y**4 + c + m*y and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8320)\/(-676))\/40*120\/96?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 84 = z - 4*z, 4*z - q - 106 = 0. Let h(v) = -9*v + 3. Let i be h(-2). Let a = z - i. Solve 0*g - a*j + 25 = 5*g, -4*j + 16 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + -3. Let i = -57 - -30. Let y = n - i. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 932.1304ns?\nAnswer: 0.0000009321304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 2*q + 2*q)*(-7*q + 24*q + 9*q + (3 - 5 + 1)*(5 - q - 5) + (-4*q + 2*q + q)*(-5 + 5 - 9) + 3*q + 0*q + 0*q) as d*q + a*q**2 + b and give a.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1193 + 2357 = -97*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 13345?\nAnswer: 427040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23705 is divided by 150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 7, -17 in descending order.\nAnswer: 7, -2\/7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*x - 1 - 3 = 0, -5*x = -4*k - 4. Let l = 7218 - 50523\/7. What is the biggest value in 1\/6, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in 3\/4, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18407 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -217 + 220. Factor 0 + 1\/4*c - 1\/4*c**2 + 1\/4*c**4 - 1\/4*c**p.\nAnswer: c*(c - 1)**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 a when three letters picked without replacement from peajuajdpdajeea.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 20*u - 56. What are the prime factors of k(20)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/16))**(5\/9)*(h**(2\/33)*h)**27)**(-49) assuming h is positive.\nAnswer: h**(-2219945\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-828)\/(-351) + 4\/(-6). Let v = 1330 + -1328. Which is bigger: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573 - ((-288)\/(-30))\/8*5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/13, -2\/3 in ascending order.\nAnswer: -2\/3, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 5*o + 3. Let n(s) = 2*s + 1. Suppose 3540 = 63*p - 53*p. Suppose 5*z = -p + 344. Calculate z*t(g) + 5*n(g).\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 380, 22 in descending order.\nAnswer: 380, 22, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (3 + 0)) + 54. What is the second derivative of 13*v - 60*v**2 + z*v**2 - 5*v wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.47 and -10.98?\nAnswer: 5.1606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -32542164700 to the nearest 1000000.\nAnswer: -32542000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331669753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/2)\/(6\/(-24) + 1). Let a be (n + 57\/12)*-4. Is 3 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.804775236 rounded to three decimal places?\nAnswer: 0.805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t - 362 + 1160 = 0. Suppose 0 = z + 5*l - 113, 4*z + 9*l - 11*l = 540. What is the highest common divisor of t and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28056.778 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1184*p**4 + 2850*p + 586*p**2 + 604*p**2 - 1190*p**2 wrt p?\nAnswer: 14208*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(0*n - 3*n + 5*n)*(-3 - 16 - 9)*(n**2 + n**2 + 0*n**2) to b + m*n**2 + l*n**3 + o*n and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*((n**2 - 1 + 1)*(1 - 3 + 0) - 3 - n**2 + 3).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 2 - (-36 - -49)) + (-11 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11049 divided by -11049\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 7 = -5*t. Suppose -5*u = -3*x - 38, -t*x = x - 20. Calculate the remainder when u is divided by 4\/14 - (-52)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36a3 (base 15) to base 8.\nAnswer: -26554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -6 - (-173)\/34. Let m be ((-10)\/4)\/((-17)\/(-4)). Let t = h + m. Find the common denominator of -67\/3 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/5 - 1472*s**2\/5 + 17132*s\/5 - 15664\/5.\nAnswer: 4*(s - 356)*(s - 11)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 47 + (214 - 250).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1958 - -1960.154. Is 1\/4 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17978436 and 1764.\nAnswer: 125849052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -391 - -390.7. What is the smallest value in -24\/5, 1\/4, g?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 272 = -4*k, k + 5*f - 2*f = 76. Let y be (-2)\/7 + k\/28. Is (-1)\/y + (-27)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23452 and 53196?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -1\/13, 0, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 5*f + 15 = 0. Let b be (4\/5)\/((-3)\/5). What is the closest to -1 in -1\/3, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/12)\/(2\/32). Let q be (g\/(-32))\/(2\/(-40)). Factor z**3 - 3\/2*z - 3\/2*z**4 + z**2 + 1\/2*z**q + 1\/2.\nAnswer: (z - 1)**4*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1917 + 1921.4. Let z = -41.8 + 38. Let s = j + z. What is the nearest to 0 in s, -2\/11, 5\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/64)\/((-3)\/(-36)). Solve 0 = 4*t - j*z - 29, -t - 2 = 4*z + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 7*w + 20)*(-34 - 3*w + 34) + (-w + 4*w - w)*(-w - w + 3*w).\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 divided by -27824?\nAnswer: 1\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 58 = -2*o, -o + 0*o = -s + 33. Let p = -34 - o. Solve -4*f + 13 = -p*f + 4*z, -3*f = -3*z - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167251 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b**2 - 6*b + 8. Let g(l) be the first derivative of 7*l**3\/3 + 5*l**2\/2 - 8*l + 365. Calculate 6*g(q) + 5*z(q).\nAnswer: 2*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + (sqrt(637) + 0 - sqrt(637))))**2 - (sqrt(13)*2 + -3 + 5)*1.\nAnswer: -2*sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 20*u = -6*u - 276 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 38 = -5*a - 10*v, a = -5*v - 51 - 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, v: 1, m: 2, p: 8, u: 2, y: 2}. What is prob of sequence qpp?\nAnswer: 112\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 - 5*s**2 - 3*s + 3. Let z be r(4). Let j = -15 + z. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 810 - 809.9721. Let w = q - -0.9521. Round w to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = r - 4 - 16, 3*h = -9. Suppose -3*k = -4*i + 10, -i + 14 = -r*k + 3. Let o be 2\/(-4) - 4\/56. What is the nearest to 5\/3 in i, -0.2, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5020877 + 0.5024. What is r rounded to five decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*n = 9, 0 = -3*y + 3*n + n - 13. What is the units digit of (-12)\/6 + 33\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 5562 - 5601 = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 d, and 1 t when four letters picked without replacement from jtjddttjdtjjjtjsdd?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4183 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*a + 2. Suppose 14 = a*r + 4. Solve -6*l = -r*l + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8 = -w, 6 = 5*r - w. Suppose 3*q = 5*d + 400, -288 = 2*q - 4*q - r*d. List the prime factors of q.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (2 + -4 + -3) - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -34. Suppose -7*t = -9*t + c. Suppose 0*v - 164 = -t*v. Solve i - 3 = p - 4, 5*p = -4*i + v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5512329472 and -5.\nAnswer: -5.5512329472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 18 + 30)*(-2*b**2 - b**2 + b**2).\nAnswer: -38*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2102 (base 4) to base 2.\nAnswer: 10010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -12*h - 20*h - 73*h**2 + 64 + 77*h**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(32) + -2)*-1 + 5.\nAnswer: -4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/m*m*m\/(m*(m\/(m**7\/m))\/m))**(1\/11) assuming m is positive.\nAnswer: m**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/11 (b) 0.051 (c) 1\/7 (d) 23\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15978617 - -0.1.\nAnswer: -15978616.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 7, -2, 2, -6 in decreasing order.\nAnswer: 62, 7, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 125, 295, 519, 797?\n\"Answer: 27*d**2 + 89*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 7*b + 7. Let p be x(-6). Let i = 61 - p. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 3 + 1 + -2 - (71 - 62)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66193.\nAnswer: 37, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 + 11*k**2 - 4*k + 9. Let r(s) = 2*s**3 - 7*s**2 + 3*s - 6. Let g(v) = 5*a(v) + 7*r(v). Calculate the smallest common multiple of 7 and g(6).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/4 + (2 - (-27)\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0075 * -1.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 794, 3199, 7208, 12815, 20014, 28799, 39164, 51103?\n\"Answer: -t**3 + 808*t**2 - 12*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 780 and 36.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -533 (base 8) in base 2?\nAnswer: -101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1591641288 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2004 = 3*f, 0*f - 5*f - 3*x + 3380 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 323 = 208. Suppose 4*g = 2*u + 18, -4*g + 14 = u - 1. Solve 0*r + g*r = -4*m - 16, -5 = 2*r + t*m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-37233)\/140*(-12)\/18. Let f = -833\/5 + t. Find the common denominator of f and 194\/(-48) + 2\/3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (4 + sqrt(1539) + -2 + sqrt(1539))*-3 + (sqrt(1539) + (3*sqrt(1539)*-2 - sqrt(1539)) - ((1*sqrt(1539)*3)**2 + sqrt(1539)))).\nAnswer: -69290 - 585*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1886.8 and -0.3.\nAnswer: 566.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 less than -5644418?\nAnswer: -5644329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 189 - 35. What are the prime factors of b?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29450564.\nAnswer: 2, 11, 13, 51487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3663145 millilitres to litres.\nAnswer: 0.0003663145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8424573 < 8424573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4989*v - 848135. Calculate y(170).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -409 - -1581\/4. What is the common denominator of (-151)\/48 - 34\/(-51) and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -45*l + 4504. Suppose 0*n - 8 = -4*n. Suppose -2*f = 0, 2*g = n*f + 2*f + 44. What is the lowest common multiple of g and i(100)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 494 = -2*k, -3*k + 120 + 249 = 3*h. Suppose -294 = -11*m + h. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 + -3 - 313117\/(-3273).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 182*l - 181*l + 4*h, -5*l + 8 = -3*h. Solve 4 = j - l*q, -j - 2*q - 2 = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**5 + 144045*b**4 + 1584093*b**3 - 1872189*b**2 - 1584096*b + 1728144 = 0.\nAnswer: -48004, -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 115028 and 4?\nAnswer: 115028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25253.032494 take away -2?\nAnswer: 25255.032494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 2*c + 66007 - 65987, -30 = -2*c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**4\/4 - g**3\/2 + g + 5. Let l(w) be the first derivative of a(w). Factor l(x).\nAnswer: -3*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-510654)\/18)\/((-8)\/24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44333 (base 7) to base 12\nAnswer: -654b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(68))**2*6 + (-1*sqrt(68) + sqrt(68))*6 + -5 + (5 + (sqrt(1377)*-1 + sqrt(17) - (sqrt(17) + -4 + sqrt(68))))**2.\nAnswer: -198*sqrt(17) + 2541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 25 + 1)*(14 - 14 + 9*s**2)*(1 + 2*s - 1) as p + z*s**2 + o*s + v*s**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*o + 2*v, -2*o - 1 = -v + 3. Let m be (-12)\/(-28) + (-18)\/(-7). Suppose -4 = 3*t - 1. Put m, t, o in decreasing order.\nAnswer: m, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 2*f - 3*s + 52, 0 = 5*f - s - 176 + 210 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1356610 >= -1356507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -19, -37, -61, -91, -127?\n\"Answer: -3*v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 16679?\nAnswer: -16677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 4*sqrt(15)\/sqrt(3))**2 - sqrt(5)*-1*-6 - ((sqrt(405)*-1)\/sqrt(9)*1)**2.\nAnswer: -6*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1629 - 29315\/18. Let h = 11\/9 - f. What is the nearest to -1\/4 in 0.4, h, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*w - 39*w + 48. Calculate the lowest common multiple of w and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504566327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4885183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -39. Let r(k) = 3*k - 57. Let c be r(v). Let t = c + 97. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1625.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-3))\/2)\/((-91)\/((-4823)\/106))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 + 457\/5. Let j = 0.13 - 7.13. Let q = 5 + j. Which is the closest to f? (a) -0.2 (b) q (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*k**2 + 53 + 27*k**2 - 6*k - 52*k**2 wrt k?\nAnswer: 4*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1068 = 3*n - 4936, -3*n + 4*o + 3904 = 0. Suppose -79*c = -71*c - n. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -580.9999888 + 581. What is u rounded to 7 dps?\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 177.89647 to zero decimal places.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**4\/24 - a**3\/2 + 3*a**2 - 1. Suppose -2*g + 6 + 2 = 0. What is the units digit of d(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - (-682)\/(-165)) + 2\/15. Let j(k) = k**3 + 8*k**2 + 7*k - 5. What is j(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8811267863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7e (base 15) to base 10.\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s + 4. Suppose -3*l + 0*l = 9. Let d = 24 - 9. What is the remainder when i(l) is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*i - 65*i - 128*i + 19*i to q + w*i and give w.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18227, 36460, 54697, 72938, 91183?\n\"Answer: 2*j**2 + 18227*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238\/(-51) + 5 + (2 - 3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (1*2 - (-85)\/34). What is the closest to -16 in 4, c, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1500 - 778. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*o - 81 - 590 - 707 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 4, -5, 3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 424*x**2. Let y(m) = -11*m**2. Calculate y(u(l)).\nAnswer: -1977536*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2720, -2761, -2804, -2849, -2896, -2945, -2996?\nAnswer: -3049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -5, 563, 2, 0.3 in descending order.\nAnswer: 563, 76, 2, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(7\/((-14)\/(-5))*-1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 42. Suppose 3*q - 7*q + 4*r = -76, -2*r = m*q - 42. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 4, 6, -4, -134, 2 in decreasing order.\nAnswer: 32, 6, 4, 2, -4, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 815492627412?\nAnswer: 815492627412.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3432 = -2*w, -1686*w - 3*g = -1684*w - 3434. Is w at most as big as 1720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85454, -85546, -85638, -85730, -85822?\nAnswer: -85914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53560617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -51. Let d(u) = 22*u - 5 - q*u - 1. What is the units digit of d(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 0*p**3 - 9*p + 0 + 0*p**2 - 1\/6*p**4. Let d(u) = 3*u**2. Calculate d(v(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Let d(x) = 1 + 5 + 3*x**2 - 2*x**j - 5*x. Is d(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 33 - 1160746*z + 1160731*z)*(0 - 4 + 6)*(0 - 2 + 1) to the form a + i*z and give a.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14016.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.067716 millilitres?\nAnswer: 0.009067716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 36 = 5*j + 53, 3*j = -3*b - 63. Let r = b + 27. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 415632454 - 25?\nAnswer: 415632426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 25 = 3*n, -4*j - n = -j - 11. Suppose 0 = 2*y + j*y - 24. Suppose -2*u - 4*u + 90 = 0. Solve -y*l + u = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -2*c - 2*p + 41, 3*p = 9. Suppose 4*d + 146 = -y, d + c = -0*d + 5*y. Is (69 - 12)*d\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81431 less than or equal to -81664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (117\/(-6))\/(4\/8). Let j = 36 + a. Let i(r) = 4*r - 3*r - r**2 - 3*r + r + 4. Calculate i(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 3 - 0\/2. Let j(b) = -b + 8. Let q be j(6). Let v be (-1)\/5 + q\/10. Solve -i*y + v*y = -6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 763928067 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3802, -3833, -3880, -3943, -4022?\n\"Answer: -8*s**2 - 7*s - 3787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 (base 11) in base 15?\nAnswer: cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*d - 19*d + 3388 = -54*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 3*f + 2*f**2 - 1\/3*f**3 + 1\/8*f**4 - 1\/120*f**6 + 0 + 1\/20*f**5. Give x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 3 - 12\/(-4). Let m be -29*(-1 - -2) + 2. Let s be 3*-3*(-6)\/m. Sort u, 4, s in ascending order.\nAnswer: s, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 1. Let a(j) = 2*j**3 - 5*j + 9. Give a(t) + 4*y(t).\nAnswer: 2*t**3 - t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1332 - 3094*h**2 + 2665 - 1333 - 232*h**2.\nAnswer: -3326*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 967*s + 969*s = -4823319, 2*d + s = 1929315. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -453*t**2. Let z(p) be the first derivative of -2*p**3\/3 + 703. Determine z(n(d)).\nAnswer: -410418*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 104904 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25636 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 210. Let p(l) = -75*l**2 - 71*l. What is i(p(j))?\nAnswer: -150*j**2 - 142*j + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*o**2*r**2 - 93*o**2 - 36*r**4 + 11 with respect to r.\nAnswer: -10*o**2*r - 144*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 477806812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-17)\/25)\/(6 - (-56)\/(-10)). Sort -0.3, u, 2.\nAnswer: u, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -142.\nAnswer: -29\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 51. Let t = b + -12.9. Are t and -15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1048\/(-480) - ((-10)\/(-6) + -2) and -65\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 735 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10\/13*q**5 + 82\/13*q**4 - 166\/13*q**3 + 0*q + 0 + 30\/13*q**2 = 0 for q.\nAnswer: 0, 1\/5, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42250 + -40810. Which is bigger: 5759\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85054017441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1195 - 1357 - 808 = 84*d for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -805 or 2\/59?\nAnswer: -805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 58*b + 46*b - 92509305. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**8\/112 - w**7\/21 - w**6\/12 + 5*w**4\/24 + w**3\/3 + 3*w**2. Let h(m) = 0. Calculate m.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/2*(516\/(-1161))\/((-835)\/(-165) - 5)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27)\/4)\/(2\/(-16)). Let g = 79 - u. Calculate the remainder when g is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1564*j + 2 - 2 + 1571*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 234\/(-18) - (1 - 4). What is the tens digit of 24*1\/(-8)*j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 4*k = 0. Sort -3, k, 3 in increasing order.\nAnswer: -3, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 4, -0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4960, 4954, 4936, 4906, 4864, 4810?\n\"Answer: -6*d**2 + 12*d + 4954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730455.\nAnswer: 3, 5, 11, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5071, -5012, -4953, -4894, -4835, -4776?\n\"Answer: 59*i - 5130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnaannnn. What is prob of sequence aan?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4 - 13937*a**3 + 48553023*a**2 + 48566961*a = 0. Calculate a.\nAnswer: -1, 0, 6969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 0*c**2 + 33 + 39\/4*c**4 + 1\/3*c**3 - 32*c. Differentiate m(l) wrt l.\nAnswer: 117*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1146 - 1163. Sort -0.2, l, 0.3, -4 in ascending order.\nAnswer: l, -4, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5*(1 + -2)*(0 + 5) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 - -48 - (-1 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3439, -6871, -10289, -13687, -17059, -20399, -23701, -26959?\nAnswer: -30167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*r + 59, r + d + 12 = 43. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36547905 divided by 36547905\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -6*b + 11. Let y be -1 + (-3 - -6) + b. Let w(c) = c**2 - 13*c + 25. Let d be w(y). Solve -u - 5*l + 26 = -3*u, -d*u + 11 = 5*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*n - 4*c + 24, c = -2*n - 18. Let r be 1*(-4)\/n*0. Suppose -4*j - 3*k + 108 = 0, j + j + 4*k - 64 = r. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 + 18*i + 2. Let d be g(-13). Suppose 3*r + 3*j - 93 = 0, 4*r - 2*j - 3*j = d. Calculate the remainder when r is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 0*h - 1\/24*h**4 - 4*h**2 + 0 + h**3. Let g be z(4). Solve 5*t = -3*j - 1, g*t = -0*t - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -15*r + 40. Solve 4*q = -0*h + h - 5, 0 = -r*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9500752883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j - 1. Determine a(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1953 and 433539221.\nAnswer: 433541174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 268.5 - 251. Are x and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*u + u - 19, -2*u - 13 = -3*r. Let f be 1\/3 - (-80)\/(-6). Let l be 6*1 - (-12 - f). Calculate the highest common divisor of r and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58531, 234139, 526819, 936571, 1463395?\n\"Answer: 58536*f**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/7, 455, -2\/5 in descending order.\nAnswer: 455, 5, -2\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.7 - -6.595. Let t = d - -0.29. Let y = t - 0.085. Which is the second biggest value? (a) y (b) 3\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800375?\nAnswer: 5, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005717255 rounded to six decimal places?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**4\/3 - c**3 - c**2. Let u(t) be the first derivative of -2*t**2 + 3*t - 4. Let j(p) = -7*u(p) - 4*v(p). Calculate j(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, 10, 1.5 in decreasing order.\nAnswer: 10, 2, 1.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 2*f - 2*f**2. Let v(z) be the third derivative of z**5\/30 + 5*z**3 + 849*z**2 + z + 1. Calculate d(v(k)).\nAnswer: -8*k**4 - 240*k**2 - 1800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265705050 by 6.\nAnswer: 44284175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -33, -552 in descending order.\nAnswer: -5, -33, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2))**47\/(m**(1\/4)*m\/(m*m*m*m**(-10)*m*m)))**(2\/41) assuming m is positive.\nAnswer: m**(-119\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 11. Determine p(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*j - 12. Suppose -15 + j = -3*x. Suppose -x*i + 36 - 12 = 0. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -0.5 (b) 5 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3794721 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 36.17, -5, -6, -10 in descending order.\nAnswer: 36.17, -5, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 181, 357, 601, 979, 1557, 2401, 3577, 5151?\n\"Answer: 11*z**3 - 32*z**2 + 195*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j**3 - 13*j**2 + 3*j + 6. Let k(i) = -20*i**3 + 38*i**2 - 8*i - 17. Give 6*k(h) + 17*l(h).\nAnswer: -h**3 + 7*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206 + 214 + (0 - 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11224 (base 5) in base 9?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 675 divide 776250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394 - 72 = 14*m. Calculate the greatest common factor of m and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 21*l**3 + 4203*l**2 + 8339*l + 4158.\nAnswer: -(l - 77)*(l + 1)**2*(l + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/5? (a) 0.5 (b) 0.05 (c) -0.2 (d) 1\/133 (e) 0.03 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000117 to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2679872 and 83\/824576.\nAnswer: 10719488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 + 4*j**4 - 16894*j**3 - 5*j**4 + 2*j**4 + 16883*j**3 + 9*j to n + k*j**4 + w*j**3 + t*j + u*j**2 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a milligram in micrograms?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 15 + 3*k - 5*k)*(-50 + 0 - 9 - 4).\nAnswer: 126*k - 1512","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*l - 2988 = 10535, 2*x = -4*l + 6794. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*w + 1324*w = 439*w + 20748 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-426)\/(-13) + (-288 - -255)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + n**2 - 2*n**2)*(-42 - 15 + 20)*(5 + 6 - 10).\nAnswer: 74*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 392, 445, 498?\n\"Answer: 53*t + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -0.4, 4\/21, -3, -1\/2 in ascending order.\nAnswer: -3, -1\/2, -0.4, 4\/21, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56366791 is divided by 913.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8203389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*n = 219*n - 5544 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -474317 divided by -2?\nAnswer: 474317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2, -0.4, -34\/9, -2, 56.1, -3?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Solve 2 = -b*n + 2*k + k, -n - 4*k - 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1243234, 1243233, 1243232, 1243231?\nAnswer: 1243230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1849.64 - 1849.6. Put t, -0.17, -3, -0.4, 0 in increasing order.\nAnswer: -3, -0.4, -0.17, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1932*j + 0*j**4 - 1909*j + j**4 - j**3 + j**2 + 4*j**2 - 3*j**4 as i*j + d*j**4 + h*j**2 + v + x*j**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 - 30. Let p = c + 2. What are the prime factors of p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -493 - -573. What are the prime factors of 1349 - 8\/(b\/30)?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06800098 + 0.068. What is a rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1379303666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 736326 and 36.\nAnswer: 1472652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 14)\/(6\/16). Find the common denominator of 143\/12 and 8\/4 + 164\/f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 10 - 2*f**2 + 298*f**3 - 2*f**2 + 3*f.\nAnswer: 298*f**3 - 3*f**2 + 3*f - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 212.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -6, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5025584 and 2900?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 7777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 - 3*p. Let v be b(7). Suppose 3*a - v = -n, -a - 37 = -3*a + 3*n. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + -7 - -21) + (9 - -6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-16) + ((-52)\/(-13) - 207\/48)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 320*r**4 + 1026*r**3 - 495170*r**2.\nAnswer: 7680*r + 6156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**4\/6 - 283*q**3\/3 - 571*q**2\/6 + 1132*q\/3 + 378 = 0.\nAnswer: -2, -1, 2, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 24 = 4*u, 77*u + 2*f = 90*u - 33 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - d + 50 = -3, 5*d + 73 = 3*n. Solve -4*q = -0*o - o - 14, 5*q = -3*o + n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 19 = -3*a, 4*s - 5*a + 17 = 24 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 4*n - 24 = s, -3*s - 27 = -3*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/7)\/v*v*v*v*v*v**(-3))\/(v**(-1))**(-32) assuming v is positive.\nAnswer: v**(-219\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggpg when four letters picked without replacement from {p: 2, g: 18}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2303\/144 + 2705\/168. Find the common denominator of -23\/48 and k.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022382 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8474*v + 14068 = 199521 + 60293 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4 - 29525*h**3 + 176995*h**2 - 147475*h = 0. What is h?\nAnswer: 0, 1, 5, 5899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*g - 28 = 2*x, x - 4*g - 20 = 0. Suppose 0 = 9*l - 126 + x. Let q be 4*(-4)\/40 + 60000004\/l. What is q rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c - 6 + 6)*(0 - 5 - 2*c + 4) + 4*c**2 - 2*c**2 - c**2 as p*c**2 + l + o*c and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-21)*18\/(-8)*-24. Let m = -99 + 274. Suppose -23*g + m = -w*g. What is the greatest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1364367 and 2345622.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 226094 <= 226094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -83623.656 and -71.\nAnswer: -83694.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 22 (b) -3 (c) 1 (d) -23 (e) -77\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4510097 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: -1396926 divided by 232821\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1683 - 1608. Put -2, f, -1 in increasing order.\nAnswer: -2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-2) + -1)*(2 - 3). Let s(v) be the third derivative of 1\/135*v**5 + 1\/540*v**6 + 0 + 0*v**m - 2*v**2 - 1\/945*v**7 + 0*v**4 + 0*v. Factor s(t).\nAnswer: -2*t**2*(t - 2)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 723 and -23192777168.3.\nAnswer: -23192776445.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50352 + 141?\nAnswer: 50513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15147826210 rounded to the nearest one million?\nAnswer: 15148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 191377 at most -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7280810\/541 or -13459?\nAnswer: -13459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c2 - 453?\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 7:59 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7362 is divided by 542?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 2, n: 1}. What is prob of sequence ddn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*i**3 + 4*i**3 - 3*i**4 + 3*i**2 - 4*i = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 11*a - 7. Let h be k(-11). Let z(c) = -4*c - 14. What is the units digit of z(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 4*m**2 - 3*m**2)*(2*m + 2*m**2 - 2*m) + 8*m**4 + 4*m**4 + 11*m**4 + (-2*m**3 + 0*m + 0*m)*(m - 2*m - m).\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*r - 35 = 0, r = 2*m - 10 - 10. What is the smallest common multiple of 200 and m + 3*7\/(-3)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12280 - -12287. Let n(f) = -8*f**3 + 3*f**2 - 4*f + 3. Let d be n(2). Let g be 2\/(-1 - 1) - d. What is the highest common factor of g and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5680*c - 66 = -5681*c - 5*i, -4*c + 2*i = 44 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 11:59 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 293, 420, 541, 656?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 33\/33*0\/25\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 15*f**2 + 11*f + 7. Is c(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 10. Suppose 0*b - 5*a = 4*b + 43, 5*b + 5*a = -50. Let v be m(b). What is the tens digit of 4*v\/(-6)*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/11 + 49\/66. Let h = -1\/1230 + -6761\/4920. Let r = h - -63\/40. Sort u, 0, r in decreasing order.\nAnswer: r, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 15 = -33. Let o(h) = h**3 + 3*h**2 - 10*h - 11. Suppose 95*w = 100*w + 20. Let y be o(w). Solve -5*t - 3*x = -b - y, -5*t + 15 = x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = v + 4*t - t, 0 = -4*v - 5*t + 53. Suppose 0 = 4*o - v, -156 = 3*f + 5*o - 1296. Suppose -593 = -8*c + f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 57*a**2 - 2*a + 1. Suppose -4 + 0 = -h. Let z = -3 + h. Let d be n(z). Calculate the highest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 10:29 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 29 + 1. Let z = g - -14. What is the lowest common multiple of z and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*8\/(-36)*98\/49.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2592 - -2592.2. Which is the closest to l? (a) -1 (b) -0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502707447.5 rounded to the nearest ten thousand?\nAnswer: 1502710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 0*t + t)*(0 - 1 + 0) - 1172*t - 440*t - 2172*t + 2*t - 2 + 2 in the form i + f*t and give f.\nAnswer: -3784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 142 - 0?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126114 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from nnxnwxnnxnxhxnnnxx.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a45 + -242?\nAnswer: -2187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-3))\/(1*-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.2, -88\/29, 2\/7, 0.2, 16, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -24. Suppose -5*j - 5 = 0, 3*q = -0*q + v*j + 18. Solve -2 = q*o - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1\/3 (c) -5\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 40*h + 372. Give r(-10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -31311310?\nAnswer: -31311300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + n - 1. Let h(s) = 8*s - 8. Let z(c) = h(c) - 2*q(c). Calculate the lowest common multiple of z(-5) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1967 rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 1)*(-1)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.018 * 199\nAnswer: 3.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207762*d**2 - 207754*d**2 - 207759*d**2 + 1038792*d**2 - 33*d - 207759*d**2 - 207760*d**2.\nAnswer: -2*d**2 - 33*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 3:38 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157289 is divided by 4251.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42690 + -31669. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-14) + 1386792\/31724?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-9) + (-4)\/(-1). Let g(v) be the first derivative of -1 - 2*v - v**2 + 2*v**2 - 2*v. What is g(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/(-360)*2*33\/2*(-5)\/(-3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + n = -182, -62*n + 50 = 3*i - 60*n for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 225 - 145. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x. Let s be a(1). Suppose -3*r = -3*o - 57, -r + o = s*o - 19. Let c = -13 + r. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22936*x - 26310*x + 3393*x.\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 10:23 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*-2*(-1)\/2. Suppose -z + 11 = 4*w. What is the remainder when 3 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3242003 (base 7) to base 14.\nAnswer: a48aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15243317.22 rounded to the nearest one thousand?\nAnswer: 15243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0 - 1. Let b = 128 - 114. Let y(n) = -3*n + 47. What is the smallest common multiple of k and y(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**5\/20 + u**2 + 5*u + 6. Give s(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/112097760 and -81\/39701290.\nAnswer: 1905661920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*n. Suppose b = -n - 6. Let i(g) = -10*g**3 + 13. Let j(a) = 5*a**3 - 6. Suppose -13*z + 32 = 201. Determine b*i(s) + z*j(s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -1141030?\nAnswer: 1141021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**4\/4 + 7*n**3\/3 - 9*n**2\/2 - 4*n + 33. What are the prime factors of r(-7)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 0.08, 2, 19?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1427659 + 25.\nAnswer: 1427684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/((-3)\/15*-5). Suppose -n*i + 362 - 78 = 0. What are the prime factors of i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -712167, -712169, -712171, -712173, -712175?\n\"Answer: -2*o - 712165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -17. Let n = q + 4.5. Let d = -77\/2 - -39. Which is the second biggest value? (a) n (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850702?\nAnswer: 2, 31, 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.05 (b) 2\/7 (c) -67988\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120135.\nAnswer: 3, 5, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 8:10 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 521885 divided by 259.\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(6\/69*1). Let k = a + 123. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 b when three letters picked without replacement from {z: 8, b: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1486 and -31.\nAnswer: 46066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1177225515 rounded to the nearest one million?\nAnswer: -1177000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3204)\/90 + 34)\/(-28)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1402 + 1.1202. What is the closest to s in 5, -0.17, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {b: 3, m: 4, a: 5, h: 1, l: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18477038 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 787 - 821. Let w = -14 + -17. Let v = w - d. Solve -4*r = 1 + v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 50*g**2 - 222*g - 159. Determine z(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 9*o**2 - 6*o + 5. Let u be ((-84)\/(-24))\/(2\/4). What are the prime factors of a(u)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -395 divided by -4?\nAnswer: 395\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 4*v**2 + 7*v - 7. Let u be s(5). Suppose -4*a + u*f = 872, -3*a + 4*f - f - 654 = 0. Let r = -155 - a. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94955 and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 5*c**5\/12 - 11*c**3\/3 + 20*c**2. Let m(w) = 12*w**2 - 11. Let h(r) = -7*m(r) + 4*z(r). Differentiate h(u) wrt u.\nAnswer: 32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14349.\nAnswer: 3, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 9:06 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/6)*j)\/((j*(j\/j**(-5\/4))\/j)\/j))**22 assuming j is positive.\nAnswer: j**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186147\/1778 + -5\/254. Let l = y + 105. Suppose 2*x = 5*i - 12, 2*x - 7*x + 20 = 0. What is the second smallest value in l, 0, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -47*u**4\/4 - u**3\/3 - u**2\/2 - u - 3. Let y be w(-1). Calculate the highest common factor of y and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m)**(-11)\/((m*m\/m**(-5))\/(m*(m**(-2\/7)*m)\/m))*m**5\/m**5*(m*m*m**(-2\/3))**11 assuming m is positive.\nAnswer: m**(176\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/91 (b) -4\/15 (c) -3 (d) 0.714 (e) -2 (f) 5\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 27359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1718 - 21 = -85*w - 115*w + 97 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11862\/967 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - 2*sqrt(8)*6)\/(-5*sqrt(8)\/sqrt(2)) - ((sqrt(10) - sqrt(30)\/(sqrt(6)\/sqrt(2))) + sqrt(10))\/((sqrt(40) + sqrt(40)*-2)\/sqrt(8)))**2.\nAnswer: 512\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 12. Suppose -11 - 5 = -o*t. Suppose -5*j - 2*z = -34, 3*j - 3*z - 2*z = 8. Solve -2*q + g = -q - 2, t*g = -3*q + j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1936*h*m**6 + 1221*h*m**2 + 2*m**6 wrt m?\nAnswer: 232320*h*m**3 + 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/2)\/(3\/6)*(-28)\/308\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**5 + 24*v**4 - 18*v**3 - 120*v**2 - 75*v = 0. What is v?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 h when four letters picked without replacement from ffhfffhhfhfhffff.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + 30\/(-4) + 3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*(-84 - -176). Calculate the greatest common divisor of 12 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 4*y + 5*y)*(-6*y**3 + 4*y**3 - 4*y**3).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 21\/(-14) - 33\/(-30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -50 - 0 - (45 - 40) - 2\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2. Let t(q) be the third derivative of -q**8\/10080 - 7*q**5\/20 - 2*q**2. Let d(x) be the third derivative of t(x). Calculate s(d(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sads. What is prob of picking 1 a and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 12474945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 1, v: 2, o: 1, a: 1}. What is prob of sequence iv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5409*w + 554632 + 1200176 = 7494*w for w.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(931)*-3*-5*5)**2*6 + -2.\nAnswer: 188527498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p + 7. Let j(n) = 4*n + 6. Let m(d) = -7*j(d) + 6*r(d). Let z(o) = 2 + 3*o + 2 + 8*o + 0 - 6*o. Calculate z(m(c)).\nAnswer: 10*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f - 2. Let s(o) = -o. Let j(p) = -i(p) + 4*s(p). Let b be 2\/(-2) - (0 + -3). Calculate the remainder when 28 is divided by j(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152 times 3677\nAnswer: -558904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 7*h**6\/60 - 11*h**4\/24 - 12*h**2. Find the second derivative of r(g) wrt g.\nAnswer: 84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, -6, -2, -17, -0.4, 4, 1 in decreasing order.\nAnswer: 4, 1, -2\/25, -0.4, -2, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -79, -107, -181, -325, -563?\n\"Answer: -4*j**3 + j**2 - 3*j - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 412*x - 20075. Calculate v(127).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2337 - -46741\/20. Which is greater: j or -38?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v**2 + 14*v**2 - 5*v**2. Let s(k) be the second derivative of -k**3\/6 + k. Give s(i(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -1567?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3767043, 3767039, 3767035, 3767031?\n\"Answer: -4*n + 3767047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -3\/2 (c) -0.093\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7556196 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 782855*d + 782364*d - 2347600*d + 782373*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150*h**3*o**4 - h**3*o**2 + 65*h**3 - 2*h*o wrt o.\nAnswer: -1800*h**3*o**2 - 2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*v - 2*w, -v - 5*w - 248 = -269 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1428509.99 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3496 - -3657. What is the greatest common divisor of s and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/65 and 37\/949.\nAnswer: 4745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4 + 448*x**3 + 23761*x**2 + 23312*x = 0?\nAnswer: -47, -1, 0, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - -372.9.\nAnswer: 387.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 8 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 9:20 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o - 38*o - 35*o - 18*o + 9*o.\nAnswer: -67*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + s - 2. Let x be p(-2). Let o(u) = u**2 - 1. Determine o(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/1192 in -4, 23, 5, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47\/660 + 45869\/4620. Solve -l*x**2 + 0 + 18\/7*x + 78\/7*x**3 - 3*x**4 - 6\/7*x**5 = 0.\nAnswer: -6, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 3*n**2 + 3*n + 19. Let i(c) be the third derivative of c**4\/6 + 3*c**3\/2 - 16*c**2. Let k be i(-1). Is 7 a factor of r(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.8 + 36.53. Let g = d + 0.27. Which is smaller: g or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 + 36*f - 54. Let h be x(-17). Let j = 516 - h. Which is greater: j or -0.03?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 320*c. Let d(a) = 35*a**2. Determine d(t(p)).\nAnswer: 3584000*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117\/(-468)*(-2)\/3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240412176 and 2224.\nAnswer: 240412176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*w**3 - 3 + 1 + 23*w + 579*w**3.\nAnswer: 194*w**3 + 23*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 125 + 3046033?\nAnswer: 3046160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 13*v**2 + v - 18. Determine i(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**4 + 6521*f - 10084.\nAnswer: -8*f**3 + 6521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*o + 53. Let y(z) = z**2 + 1. Let q be y(-1). Suppose 0 = -q*g - 4*p + 5*p + 33, 2 = 2*p. Calculate the greatest common divisor of o and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -406561 (base 8) in base 4?\nAnswer: -200311301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04 and 6192.\nAnswer: 6191.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 10. Let v be k(10). Let x(r) = -2 - 10 - r**2 + v*r + 12*r + 0. What is the units digit of x(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -25*m - 147. Let x be k(-22). Let q = x - -86. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/1367 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 12:30 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61.3 + -450.3. Let o = d + 388.5. Put o, -3\/2, 0, 47 in descending order.\nAnswer: 47, 0, o, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -338, 1, -16, -13 in decreasing order.\nAnswer: 1, -13, -16, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12760619\/1560 + -1587241\/65. Let d = -16243 - j. Calculate the common denominator of d and -69\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 281 - 155. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2.6 (b) 1\/4 (c) -0.3 (d) 2 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = u + g, 4*g - 4 = 4*u - 24. Suppose -3*i + u*i - 2*o = 335, 4*i - 268 = 4*o. What is the remainder when i is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -18. Let c be (4\/r)\/(6\/9). Let h be 6\/21 - (-4)\/(-14). What is the third biggest value in c, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -970 (c) 0 (d) -3 (e) 4 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-40)\/(-90))\/((-28 + 39)*(-2)\/(-22)). Factor g - 2\/3*s + 2\/9*s**2.\nAnswer: 2*(s - 2)*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -2\/87, 2, 3\/2, 5 in ascending order.\nAnswer: -2\/87, 0.09, 3\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -16*(-5)\/(-4)*(-4)\/(-10). Let s be w\/(-28) + (-5112)\/56. What is the nearest to -0.1 in 1, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 + 188*t**2 + 389*t + 1886. Calculate s(-92).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((186\/62)\/24)\/(2*51\/48)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 + -2)*4\/12. Suppose 0 = -4*i - 10*i + 294. Suppose 3*h + 4*s = 21, -4*h = 2*s - i + x. Solve h*t + 4*r - 10 = 11, 2*r = -3*t + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = -0. Suppose -2*b - 9 = k, -2*b - 9*k + 21 = -14*k. Sort b, z, 6.\nAnswer: b, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p + 179. Let n be o(-36). Let d = 7.9 + -53.7. Let t = 46 + d. Which is the closest to n? (a) t (b) 9\/4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0*u + 0*u**4 + 0*u**3 + 2*u**2 - 2\/15*u**5 + 0*u**7 + 1\/56*u**8 + 0*u**6 + 0. What is the third derivative of s(a) wrt a?\nAnswer: 360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*s - 4*p, -5*s + 4*s = 4*p + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/15 + ((-72)\/15)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/746 and 91\/76.\nAnswer: 28348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7 - 5*a - 3*a + 10*a. Give u(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -t + 27, 3*w - t + 22 = 7*w. Suppose -62 + 458 = 12*q. Suppose -12 = -15*h + q. Calculate the highest common factor of h and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 10:09 PM?\nAnswer: 177","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**4*r - b**4 + 10*b**3*r + 318*b**3 + 46*b**2*r - 43*b**2 wrt b.\nAnswer: -48*b*r - 24*b + 60*r + 1908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -740*j**4 - 1893*j**3 + 100497714.\nAnswer: -2960*j**3 - 5679*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 521.307 seconds in hours?\nAnswer: 0.1448075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 10*u**2 + 6*u - 6. Let v(n) = n**3 - 9*n**2 + 5*n - 5. Let j = 62 - 60. Let r be j + 0 - (-17 - -24). Calculate r*m(t) + 6*v(t).\nAnswer: t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-6))\/((-12)\/8)*(105\/35)\/501.\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -b42 (base 14) in base 4?\nAnswer: -202212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -2, -4, 5, -1 in increasing order.\nAnswer: -46, -4, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxznxlknhhx. What is prob of sequence xzk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u - 8. Let g be a(-4). Suppose 3*p - g = 2*p. Suppose -j = 2*j - 4*c - 15, p = 4*j + 2*c. Solve -3 = j*i - 2*z, 0 = -z - 1 + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3523 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 + 119*w**2\/5 - 50*w - 968\/5.\nAnswer: (w - 4)*(w + 2)*(w + 121)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {q: 6, g: 3, r: 2, m: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 20 - 249*u - 17 + 12. What are the prime factors of g(-4)?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3810 - 1220?\nAnswer: -5030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -10608*l**2. Let g(q) = -32855471 + 32855471 - q**2. Calculate g(k(m)).\nAnswer: -112529664*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5236\/5 + 1047. Let q = -6 + 5. Let r = 0 - q. What is the closest to r in v, -1, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 11:49 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*104\/65*(-5)\/(-140)*-10.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:20 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 711191229 and 749?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/6)\/((-8)\/(-6896)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 18 = 8*x. Solve x - 2 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/23)\/r)**(-41) assuming r is positive.\nAnswer: r**(902\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(2\/17)*m*m*m**(2\/13) assuming m is positive.\nAnswer: m**(723\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727758?\nAnswer: 2, 3, 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 5862.\nAnswer: 64482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, u: 3, y: 2, a: 4, j: 5}. What is prob of sequence njn?\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 1\/3, 15\/7, -18, -0.142 in descending order.\nAnswer: 15\/7, 1\/3, -0.142, -18, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*n - 1 + 1)*(-36 + 29 + 25) + 173 - 174 + 11*n + 3*n)*(0*n**2 - 3 - n**2 + 0) to the form x*n**3 + k*n + l + h*n**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s - 4*s + 312. Suppose s = 129*x - 125*x. Calculate the remainder when (14\/(-6))\/((-4)\/60) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/(b\/((b*(b\/b**(-2))\/b)\/b)))**(2\/109)*((b**0\/b)**(-4\/13))**(7\/5) assuming b is positive.\nAnswer: b**(2792\/7085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15180, 61287, 138156, 245787?\nAnswer: 384180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129667 is divided by 4695?\nAnswer: 2902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 - 108. What is the remainder when 29 is divided by y\/28 - (2 + 49\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 3 - (7 + -12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6944 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13826 and 1115.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(627)\/(sqrt(22)\/sqrt(2)))\/sqrt(3) + -3 + sqrt(1539) + 0 - (sqrt(76)\/sqrt(4)*4*3 - (1*sqrt(171))\/sqrt(9)*-2))**2.\nAnswer: 24*sqrt(19) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11207400 and 50700.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 21 = -3*x. Let s be 0\/3*(14\/(-4) + x). Suppose -3*g - 132 + 390 = s. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 3. Let b be r(4). Solve 4*o + b = n, 2*o = -3*n - 10 - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -19654?\nAnswer: 9\/19654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -63, -120, -179, -240, -303, -368?\n\"Answer: -y**2 - 54*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n + 11952 + 11*n + n**2 - 11936 to t + p*n**2 + l*n and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1901.2 or -1\/16?\nAnswer: 1901.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1)\/k**(-10\/9)*(k\/(k\/k**3)*k)\/k**(1\/7) assuming k is positive.\nAnswer: k**(250\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**0)\/(z\/(z\/(z\/((z**(-2\/37)*z)\/z)))))**(-1\/3) assuming z is positive.\nAnswer: z**(2\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2 + 6. Solve y = q*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1\/c**(-13))**21\/((c**2)**(-18)*(c**(-3)*c)\/c*c**(4\/5)) assuming c is positive.\nAnswer: c**(1661\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*(sqrt(95) + -1*sqrt(95)) + sqrt(95)))\/(-4*sqrt(320)*4).\nAnswer: sqrt(19)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 3*i = -59, -2*u - 2849*i + 2850*i = 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17912673*a**2*q**2 + 206235*a**2*q + 8*q wrt q.\nAnswer: -35825346*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + 0.4. Let q = -0.08 - -4.08. Which is the closest to -0.1? (a) q (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 3*y + 4 - 15)*(0*y**2 + 2*y**2 - 4*y**2) - y**3 + 2*y - 4*y + 0*y**3 to h*y + f + v*y**2 + g*y**3 and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -915722158405080 - -915722147963201.70000006. Let x = -10441877.3 - z. Let n = 1 - x. Round n to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (22 + -23 - -11 - (13 + 0))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1543308 or -6?\nAnswer: 1543308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.4, -0.18, 29?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 e when three letters picked without replacement from {e: 1, a: 1, o: 5, b: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -40.6. Let p = -6 + 4. Which is the nearest to -0.1? (a) p (b) u (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3351 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, f: 2}. What is prob of picking 4 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - u - 260. Let h be b(0). Calculate the remainder when 2\/1 + -3 + h\/(-4) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1900)*1 + -1*sqrt(1900)*1)**2 + (-1*sqrt(1900)*-6*2)**2*1.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -0*s - 14*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -27, 12, -0.302, -2\/3 in ascending order.\nAnswer: -27, -4, -2\/3, -0.302, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 52)*69\/92. Suppose i*x + 464 - 1517 = 0. What is the lowest common multiple of 30 and x?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5 + 14. What is the third derivative of -2*o**3 - l*o**3 + 7*o**2 - 2*o**2 wrt o?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*b = -16, d + 2*b - 7 = 3. What is the highest common divisor of d and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**5*d*d)\/(d**(-13)*d))\/((d*d**(2\/67)*d)\/(d**(4\/19)*d)) assuming d is positive.\nAnswer: d**(12960\/1273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92 + -90. Suppose -5 = -2*m + 5*m - 4*f, -2*m = -4*f + 2. Let x be 0 + m\/15*0. Solve -2*c + b*y + 8 = 0, -2*c + 4*y + 8 = -x*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**5\/60 + 5*k**4\/12 + k**3 - k**2. Let q = 11 + 6. Calculate the remainder when q is divided by o(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.2883.\nAnswer: -0.2883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7809748 divided by -4\nAnswer: 1952437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 29888 - 1008 = 5*q, -5*q - 77225 = -5*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/(-510)*(-3762)\/11)\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-18))\/(152\/32).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -14 + 29*u - u**2 - 26 + 3. Is a(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/8 (b) 3 (c) -5 (d) -1.3 (e) -20.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -y - 4. Find the first derivative of -3 + 4*i**3 - 4*i**3 + 0*i**y + i**4 wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 k, 1 o, and 1 m when four letters picked without replacement from ompppmdpoppk.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 20*o - 17. Let s(x) = -14*x + 12. Let h(v) = 7*v - 6. Let k(z) = -13*h(z) - 6*s(z). Let w = -15 - 2. What is w*k(p) - 6*g(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1660*f + 4626*f + 1498*f)*(f - f - f**2) - 4*f**3 + 2*f**3 - 2 + 0*f**2 + f**2 in the form o*f**2 + j*f + r + g*f**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 632862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7814*s + 4. Let z be r(1). What is z rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b + 18*b - b**3 - b**2 - 27*b + 97. Let h(p) = -p**2 + 5*p - 4. Let x be h(4). What is the units digit of y(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 + 1)*(-3 - 3*w + 3) - 2*w + 3*w + w)*(-11128 + 11128 + 93*w) to the form t + s*w + y*w**2 and give y.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yynn when four letters picked without replacement from {r: 3, e: 2, n: 2, y: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2)*r*r*r)\/r)**(-4\/5)\/(r*r**(-12\/5)*r**9*r))**(-30) assuming r is positive.\nAnswer: r**282","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + i + 1. Let v(x) = x**2. What is -2*g(t) - v(t)?\nAnswer: t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 18. Let a be 15*(-26)\/91*(196\/12)\/(-7). Solve -s*k - 1 - a = -2*u, -3*k = 3*u - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4826*t - 3 - 6282*t)*(0 + 0 + 3*t).\nAnswer: -4368*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 59 times 0.31\nAnswer: 18.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 43*a + 2. Factor 125*r + r**a - 131*r + 0*r**2 - 7.\nAnswer: (r - 7)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 789 = b. Let h = -323 - -155. Let r = h - b. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 2)*-4 - 0. Let s(n) = -n**3 - 2*n**2 + 4*n - 1. Let a be s(-3). Let w = a - p. Solve 1 = d - w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 3:37 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Sort s, -5, 3 in descending order.\nAnswer: 3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2483 - 2483. Solve -11*m - 18*m + 174 = u for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -1\/11 (b) -32 (c) -3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 154 - 0 - 13\/(104\/(-8)). Find x, given that -x**4 - 21*x - 670*x**3 + 585*x**3 + 9*x**4 + a*x**2 - 3*x**4 - 54*x = 0.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970 is divided by 62.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2590 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 3, -n = -5*x + 10. Suppose 3*w - 157 = n*f + 80, f = -3. What are the prime factors of w?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*l**2 + 886*c*l - 1603*l**2 wrt c.\nAnswer: 2*l**2 + 886*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umwcpem. Give prob of sequence cmp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 339, 640, 943, 1248, 1555?\nAnswer: 1864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/8748)\/(6\/(-54))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v + 2. Let k(p) = -1. Let j(g) = i(g) + 2*k(g). Let b(w) = 4*w**2. Give j(b(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/246 and (-165)\/(-6)*(-15)\/135.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5412304866 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**5\/3 + 31*d**4 - 148*d**3\/3 - 52*d**2 + 80*d\/3 = 0.\nAnswer: -20, -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2502061339 and 2623?\nAnswer: 2623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68675 + 1304485\/19. Is b less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3663749163?\nAnswer: 3, 6911, 176711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from ccrcrve?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (322\/(-4))\/((-1)\/(-56)*-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (786 - 802) + (8 - -1) - (-2 - -33)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 4*j**2 - 4*j**3 - 4 - j + 3*j**3. Let l be t(-5). Is 3\/4 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 at least 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7))**(2\/7)*(o**(-2)*o*o)**(-2\/31)*o**(-3\/4)\/((((o*o**(-1))\/o)\/o)\/o*o)*o**(-2)\/o*(o**6\/o)\/o assuming o is positive.\nAnswer: o**(425\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168036 by 66.\nAnswer: 2546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 955 - -5.4?\nAnswer: 960.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/30 and 53\/732?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 1\/10*g**5 + 0*g**3 + 0 + 0*g + 3\/8*g**4 + 4*g**2 - 1\/120*g**6. Let u be q(7). What is the highest common factor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*l + 24*l - 272*l = -5584 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2047.1 - 2047. Which is the nearest to -0.1? (a) -3\/5 (b) 6 (c) 8 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1093477702*g + 299078742 wrt g.\nAnswer: -1093477702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/600 and -121\/160.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 449 + -447 + 0 + (-13 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 12, 1, -26, -75, -152?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -x + 30. Suppose w - x*j = 682, w = -4*j + 676 - 18. List the prime factors of w.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**3 + 5. Let r(i) = -i**3. Give -6*r(c) - y(c).\nAnswer: -c**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2052 divided by 76\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p - 4. Let t be x(-3). What is the units digit of t\/((3\/(-1))\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 13*d + 8. Give s(10).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 35. Suppose q*g + 12 = -4*d, 5 + 2 = -3*g - 5*d. Let p(v) = -27*v - 2. Let z be p(g). What is z rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*j - 140 - 52 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585336 to the power of 1\/2, to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610036 = -338*s + 366*s. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**5\/20 - 3*u**4\/4 - 4*u**3\/3 + 7*u**2\/2 - 284*u. Calculate m(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 60775145722294.\nAnswer: -60775145722298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slsl when four letters picked without replacement from lllllllllssllllsllll.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -111985 and 746851.\nAnswer: 634866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -1d?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1142034 (base 5) to base 2.\nAnswer: 101010000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 5, v: 2, y: 1, b: 2, i: 2}. What is prob of sequence vbw?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 + o**2 + 0*o**2 - 1 - 2*o**2 - o**2 to the form z*o**3 + i*o + j + d*o**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 0 (c) 5.06 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + g)*(-5 + 0 + 1 + (-1 + 0 + 0)*(0 - 2 + 0) - 6 - 2 + 1)*(-3 + 3 + 6*g**2).\nAnswer: -54*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 3*a + 1. Give x(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/61 and -11\/529846.\nAnswer: 529846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 56*q + 53*q - 109*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n\/n**(-5\/4))))**(12\/5)\/(n*n**(-6)\/n*n*(n\/(n\/(n**(-6\/19)\/n)))\/n))**(-28) assuming n is positive.\nAnswer: n**(-5488\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/2, 0.5, -3, 1.246, -0.1, 0.2, 15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324 and 469692?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r**2 - 3*r. Let u(f) = 33*f**2 - 12*f + 4. Let b(t) = 4*q(t) - u(t). Let c(i) = -i**2 - i - 1. Give -b(l) + 6*c(l).\nAnswer: -l**2 - 6*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 > 268\/6657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**2 + y**2 + y**2)*(-4 + y + 4) + 25*y**3 - 59*y**3 - 40*y**3 to the form h*y + q + g*y**2 + l*y**3 and give l.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-10))\/(((-3132)\/120)\/(-29))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 648 + -363. Let p = u - 197. Is 19 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 6*f - 15. Suppose 3*d = -4*t + 1187, f*d = 3*t + 980 + 950. Suppose 4*a + 440 = 5*g + a, -4*g = 5*a - d. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/1021 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/4 - (-14)\/4 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9986 and 11659?\nAnswer: 116426774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258678 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*h + 50, 0 = -4*z + 24 - 4. What is the nearest to 0.1 in -0.1, 4, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.21, 1, -0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 o, and 1 z when four letters picked without replacement from {u: 2, z: 7, o: 2}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 10. Suppose -3*g + 10 = -2. Suppose 0 = g*m - 71 - n. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6500 + 6499.7. Which is the smallest value? (a) 1\/4 (b) 4 (c) j (d) 1\/5 (e) 138\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -11 - 14, 5*q + 2475 = -i. Let d = 962 + q. Does 28 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7550*n**2 + n + 1. Let r(a) = -2*a + 9259. Calculate r(u(h)).\nAnswer: -15100*h**2 - 2*h + 9257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-861)\/(-369))\/(115\/138).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 2*a + 3. Let s(x) = 5*x**3 + 236*x**2 + 3375*x + 12. Let h(r) = -s(r) + 4*w(r). What is the second derivative of h(y) wrt y?\nAnswer: -30*y - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17322 + 1417678.\nAnswer: 1417677.82678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7063 - -4148. Is h a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 7571810 = -397508 + 227646. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1733 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 8*l**2 + 6*l - 7. Let d be z(7). Let v be (7 - 21)*4\/d. Suppose -1 = -v*p + 31. What is the greatest common factor of 64 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -191*h**2 + 9*h. Let s be b(-4). Let p = s - -4827. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/4 + 867*h\/2 + 162800 = 0. Calculate h.\nAnswer: -1184, -550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 11*y - 67515 = -17232, -3*y = -t + 10041. Is t a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Let x(s) be the third derivative of s**4\/3 + 520*s**2. Calculate -6*q(c) + 3*x(c).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*719231.\nAnswer: 1438462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-141)\/15 - -13)\/((-6)\/(-20)). Let s(a) = 21*a - 222. Calculate the remainder when 117 is divided by s(i).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 23 = -5*t. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s. Let k(x) = -2*x. Let w(r) = -2*r. Let b(a) = a. Let h(c) = -9*b(c) - 4*w(c). Let f(l) = 4*h(l) - 3*k(l). Give f(d(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12282 and 12371.\nAnswer: 1707198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 12:06 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2809 (b) -2\/9 (c) 0.5 (d) -3\/8 (e) 48\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24173, -48345, -72517, -96689?\nAnswer: -120861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:59 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, a: 11, i: 2}. What is prob of picking 1 l and 3 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 6\/((-2)\/(3 - 2)). Suppose 0 = j + o*b - 9, 0 = j - 5*b + 5 - 0. Let n(y) = y**3 - 6*y**2 + y + 4. Determine n(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 10*o + 10. Give h(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12929 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 4\/(6\/6). Sort p, -7, 2, 3.\nAnswer: -7, 2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 25*h + 723. Let k be n(42). Which is smaller: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 6*p**2 - 18. Let a be g(6). Let w be 5 + a + 64\/8. Put -1, 11, w in increasing order.\nAnswer: w, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 229*z**4 + 0 + 2 + 3*z - z**2 - 228*z**4 - 27*z**3 in the form i + a*z**2 + h*z**4 + c*z**3 + q*z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 14 = -3*u + 24, v - 5 = -u. Solve -v*p - w = 16, 4*w = 2*p - 4 + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + 0*a**2 + 0*a**2 + (0*a - 2*a + 0*a)*(4*a**2 - 4*a**2 - a**2) - 2*a**3 + 0*a**3 + a**3 + 2*a**3 + 9*a**3 - 4*a**3)*(-380 - 797 + 272).\nAnswer: -9050*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**3 - 4*c**2 + 4*c - 4. Suppose -8712*b + 8727*b = -60. Let r(u) = -9*u + 4 + 15*u**2 - 15*u**3 - 6*u**2 + 5. What is b*r(z) - 9*w(z)?\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -1 - 5. Suppose 21*c = 20*c + 2*t + 20, 5*c + 2*t = -8. Solve -c*u + 3*y = 3, -s*y = -y - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-44)\/(-8)*16\/64?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -4, 22, 68, 140, 244, 386, 572?\n\"Answer: a**3 + a**2 + 2*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1066 and 234?\nAnswer: 9594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tll when three letters picked without replacement from {l: 3, t: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*a + 4*o = 106*a - 240*a - 68, 0 = -2*a - o - 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18480.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x*x*(x**(3\/7)\/x)\/x*x))*x**0*x**(1\/12)\/x*x**2*x assuming x is positive.\nAnswer: x**(295\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**3 - 1048*r**2 + 1398*r - 16671. Calculate o(-211).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 114 = 12*y. Solve 3*k - 15 = y*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/12)\/(6\/(-9)))\/9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2400 and 320?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 5*t**3\/3 - 11*t**2\/2 - 39*t - 94. Calculate the remainder when z(-3) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 5*l**2 - l + 1. Suppose -x = 4 - 0. Let u = -7 - x. Is o(u) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 4*a**5\/5 + a**4 - 2*a**3\/3 - 27*a - 1. Factor k(p).\nAnswer: 4*p*(p + 1)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -123*c - 391. What is the hundreds digit of s(-29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 57. Suppose o = 4*b + 306, 310 = o - q*b + b. Suppose 2*t - 5*j = 3*t - 175, o = 2*t + j. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/29, 2\/33, 1538, 37?\nAnswer: 1538","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 7220*y - 7189*y. Let i(u) be the first derivative of 13\/5*u**5 + 10*u + 0*u**y + 0*u**2 + 0*u**3 - 26. Differentiate i(w) with respect to w.\nAnswer: 52*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r**2 + 0*r + (r + 5*r - 5*r)*(-r + 1 - 1))*(-548217 - 31940*r**3 + 548217).\nAnswer: 95820*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**4\/42 + q**3\/7 + 2*q**2\/7 - 2*q - 8. Let g(s) be the first derivative of f(s). Find b, given that g(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-168)\/(-42))\/((-8)\/(-3134)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l - 25. Suppose -22 = -l*o + 68. Let k = o + -11. What is the greatest common divisor of 77 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 35*f - 4257. What are the prime factors of k(-101)?\nAnswer: 9479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 35 = -4*c - 33, -o = -4*c + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - (79 + -29)) + (-1 - -28).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2. Let g = -111660 + 203191. Let l(o) = -4*o**2 + g*o - 91531*o. Give l(i(t)).\nAnswer: -100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 868747*s**5 - 7117364*s wrt s?\nAnswer: 17374940*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**5 - 25629*d**2*w**3 - 33*d*w**2 - 288*d*w + 6*w**3 wrt d?\nAnswer: -120*d**3 - 51258*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 26. Let z(c) = -4 - 6*c + 5*c + f. Let p(d) = -4*d. Calculate p(z(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1322 or -1219?\nAnswer: -1322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*d = -3*d - 30, 3*k - 38 = 2*d. Suppose 0 = k*c - 12*c - 112. What is the highest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 5*s**2 + 4*s - 17. Let j be x(4). Suppose 3*u = 3*z - 15, 0*u - 26 = -4*z - 2*u. Calculate the greatest common divisor of z and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5335900 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5278062527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*j - 51, 5*a + 64 = 3*j + 3*a. Suppose -3*m + 762 = 3*r + j, -r + 4*m + 243 = 0. List the prime factors of r.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 + 78*y**2 - 219*y + 286. What is i(23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111010011 + -10100111?\nAnswer: -10000001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 5\/4, -2, -11.\nAnswer: -11, -2, -2\/13, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 3*x**2 - 4*x**2)*(-116*x**2 - x + 0*x + 113*x**2).\nAnswer: 6*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 905\/7 + -129. Let g = -9 - -8. Let k be (-336)\/(-280)*((-216)\/64 - -4). What is the closest to r in g, -0.03, k?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 84 = 2*k + 2*k, 4*b + 150 = 5*k. Calculate the remainder when k is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-16)\/(-10))\/(-4) + (-4949)\/(-210) and 63\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 12*l**2. Suppose -3*p + 5*w + 133 = 0, -p - w + 175 = 4*p. Let b(o) = 75*o**2 - p*o**2 - 40*o**2. What is b(c(f))?\nAnswer: -144*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-3) + 27\/4)*4\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 3*m**2 - 3*m + 3. Let d(g) = g**2 + 8*g + 10. Let t(i) = -5*i**2 - 2. Let u be t(1). Let b be d(u). Calculate k(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 17. What is the smallest common multiple of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6991657 - -0.7\nAnswer: 6991657.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4217597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17510*n + 17315*n + 3900 = 0 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d. Let p(z) be the first derivative of -161 + 0*z + 1\/3*z**3 + 0*z**2. What is m(p(q))?\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -365, -754, -1195, -1712, -2329, -3070, -3959?\n\"Answer: -4*t**3 - 2*t**2 - 355*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*a - 3 = -49*l - 6*a, 3*a - 9 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 46*w**2 - 6*w + 6. Let d(n) = -45*n**2 + 5*n - 7. Let l(m) = 6*d(m) + 5*z(m). What is the derivative of l(y) wrt y?\nAnswer: -80*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*u + 0*u + 0*u + u + 30*u + 3*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5398 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 11461*r + 680399. Calculate z(-60).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4, -30, -66, -112, -168, -234?\n\"Answer: -5*r**2 - 11*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 19 = -3*u, -5*q = -10*q + 3*u - 107. Sort q, -3, -5 in increasing order.\nAnswer: q, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*c, -5*c - 8 = 5*q - 2*c. Which is bigger: q or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000034024564 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + 46. What is the highest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 106, -22, 3\/7, 0.2 in increasing order.\nAnswer: -22, 0.2, 3\/7, 4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -53 + -2*(-1)\/(-2). Let q = t + 49. What is the second biggest value in 3\/2, 1, 15, q?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, i: 4, h: 3, z: 2, m: 2, n: 2}. Give prob of sequence hzyn.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93020.\nAnswer: 2, 5, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47b97d + -5?\nAnswer: 47b978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1845558 and 43\/396?\nAnswer: 3691116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmbbmmbmmmmbbmbm. What is prob of sequence mbbm?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 24*h**2 - 970*h + 3666. Give k(36).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3414 - 302?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5454625 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5999 + 1246. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71033, -142101, -213207, -284357, -355557, -426813?\nAnswer: -498131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 94884180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 25*t - 1\/20*t**5 + 0 - 7\/2*t**2 - 1\/2*t**3 - 1\/2*t**4. Give n(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b - 4*b + 3*b + b**2.\nAnswer: b**2 + 20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 19. Let w(s) = 11*s**2 - 5*s + 20. Let b(u) = -5*u**2 + 2*u - 8. Let m(o) = 5*b(o) + 2*w(o). Calculate m(h(n)).\nAnswer: -12*n**2 + 228*n - 1083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 297 and 48?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 6*d + 2. Let f be r(5). Let p(q) = q + 7. Let j be p(f). Suppose 0*t = -c + t + j, -5*c - 3*t = -78. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8624727 and 220409690.\nAnswer: 1983687210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g. Let m(n) = n. Calculate 6*m(p) + u(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 3376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-6 - ((-10 - 5) + -11 - -15))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**4\/7 + 506*t**3\/7 + 64513*t**2\/7 + 18216*t + 9072 = 0?\nAnswer: -252, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 51*c. Let g(j) = 3*j. What is g(r(a))?\nAnswer: 153*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*w - 173844 = 2058*w + 2475*w for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 850*c + 3. Let b(a) = -a**2 - 849*a + 2. Determine 3*b(s) - 2*u(s).\nAnswer: s**2 - 847*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -95*g + 1296. Calculate a(13).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h + 9*h + 8*h - 11*h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -16*z + 197. Determine f(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12640000 to the nearest 100000.\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -32897296900 to the nearest one million.\nAnswer: -32897000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - -2 - (-2 + 1) - (6633 + -6646).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*j - 13 = 0, -5*y = -2*y + 3*j - 9. Let t = -34 + 31. Let z be y - -3*(-2)\/t. Let n(v) = v**2 + v - 4. What is n(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6554.\nAnswer: 2, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine fifths of a gram?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 308 - (9\/3)\/6*0. What is the greatest common factor of 12 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 12:35 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -16*g**2 + 4*g. Let w(t) = -t**2 + t. Let b(i) = -q(i) + 8*w(i). Let f(u) = -16*u**2 - 7*u. Determine 7*b(j) + 4*f(j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + -2.95. Let m be (-6)\/(264\/(-140)) - 3. Which is the nearest to 3? (a) m (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32243 - -404?\nAnswer: -31435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 16*r - 5. Let x be g(-7). Suppose 13*p - 56 = x*p. What is the remainder when 67 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*i = 5 - 39, -5*i = 10. Let k(a) = a + 4*a**2 + 4 + a**3 - 10 - l*a. Let r be k(-5). Solve -r = g - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 15*n**2 + 23*n - 16. Let h be y(-13). Is 0 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (154 - 352 + 1816)*(-1 + 2 + 1)*(-1 + 1 - t) + (-3*t + 5*t + 0*t)*(4 - 2 + 0) + 5*t - 3*t - 3*t to r + m*t and give m.\nAnswer: -3233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19022, 18795, 18568, 18341, 18114?\n\"Answer: -227*c + 19249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 2 + (7 - (-2 + 7)) + -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 + 1102. Let n = -5702 + 5706. What is the least common multiple of ((-2)\/5)\/((-3)\/i) and n?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -899*o**2 + 2679*o - 56. Give a(3).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -190*k - 100. Let s(i) = -21*i - 11. Let m(f) = 6*o(f) - 55*s(f). Let p be m(13). What is p rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/858 and -70\/429?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(33\/4))\/(10\/5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 546*x + 1391*x + 712*x to the form f*x + k and give f.\nAnswer: 1557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 - 3.3. Suppose -5 = 5*z - 3*r - 2*r, 0 = -5*z - 2*r + 30. Suppose -z*y - 16 = -3*k, -5*y - 1 = -k + 2*k. What is the closest to j in k, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w + 25*w + 2*w)*(10*w**2 - 3*w - 8*w**2 - 10*w) + 0*w**3 - w**3 + 7*w**3.\nAnswer: 76*w**3 - 455*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 6*s + 4. Let u be n(-5). Let b = 132 - 131. Let j be (-19)\/(-20) - b - (-23)\/(-92). Are u and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 16. Sort -3\/4, b, -2 in ascending order.\nAnswer: b, -2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/31? (a) -4 (b) -5 (c) -20\/13 (d) -1\/3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 + 1 - 16*u**3.\nAnswer: -16*u**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - t + 66, s + 4*s - 171 = -t. Calculate the least common multiple of 4 and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1127, 1188, 1249?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 505736 + -282099. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(459) + (sqrt(459) - sqrt(459)*1) - sqrt(459))\/sqrt(9) + sqrt(51) + (sqrt(5100) - sqrt(5100)*-2 - sqrt(5100)))\/(-4*sqrt(147)*-5).\nAnswer: 3*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + i - 5. Let a(k) = -2*k**2 + k - 4. Let c(s) = 5*a(s) - 4*y(s). Let g be c(2). What is the units digit of (2\/5)\/(g\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(-29 + 29 + 6*m) - m + 0*m + 2*m)*(-4 - 2 + 1).\nAnswer: -65*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (3 + -3 - 2). Let o be 6\/(3\/p + 4). Suppose -4*n - 4*g = o - 50, n - 26 = -4*g. Let d(j) = j**3 - 6*j**2 + j + 4. Determine d(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5189284*q**5 + 41322920*q**4 - 107445912*q**3 + 89402832*q**2 + 3407292*q + 31752 = 0 for q.\nAnswer: -21\/1139, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 - h - 1. Let y(s) = -8*s**3 - 3*s**2 + 2*s + 2. Give 2*w(g) + y(g).\nAnswer: -4*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8086?\nAnswer: 2, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -429 in 411, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 5*g - 121. List the prime factors of g.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*h + 60*h. Let w = 2 - 0. Put h, w, 4 in ascending order.\nAnswer: h, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15293331*t**3 + t**2 + 15293354*t**3 - t**2.\nAnswer: 23*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 10:38 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1.62. Let h = 0.1 - t. Round h to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 24 - (-21 - (-41 - -16)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37322*x**2 + 31642*x.\nAnswer: -74644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*w + w. Suppose y = w - 10. Solve a - y = -z, -2*a + 2*z + 5 = 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36933781.5110722050087 - -28.6110740050087. Let t = 36933746 + c. Let o = -6.9 - t. What is o rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51775 + 6081 = 11*j - 420497. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6401 - 6401.12. Let l(j) = -j - 9. Let p be l(-8). Put p, -2, g in ascending order.\nAnswer: -2, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -918 by -22.\nAnswer: 459\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/112 and -3\/98.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*v + 112*v = -3. Which is the closest to -2? (a) -1\/6 (b) -112 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333 and 93351?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 455759 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 181 - 133. Suppose 21 = -a*i + 55*i. Solve 3*s = i*x, -x = -5*x - 4*s - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 8*z - 6*z - 3.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i + 20. Suppose -25*d = i + 96. What is the closest to -5\/7 in d, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68627?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-35)\/15)\/(3\/(-27) + 0). Solve 4*l + a + a - 22 = 0, 0 = -4*l - a + o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 1626 + 1626.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21395678303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -13 + 17. Is 6 a factor of ((-5)\/(-10))\/(x\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(1377) + ((1 + sqrt(1377))*1 - sqrt(1377)))**2.\nAnswer: 126*sqrt(17) + 1426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 9) to base 6\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*c + 16, -d + 6 - 10 = -4*c. Suppose 0 = -2*z + 3*s - 7*s - 10, c = 3*z + 3*s + 3. Solve 0 = 4*x + 3*a + 5, -z*x + 5*a - 20 = 4*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1 + 1 - 3*m**2 to the form z*m**2 + u*m + s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-290)\/(-6) + 1912\/(-1434). Put y, 1, -5, 37 in ascending order.\nAnswer: -5, 1, 37, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 2. Let l be g(4). What is the derivative of 2 + 2*y**2 + 2*y**2 - 2*y**2 + y**l wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysm when three letters picked without replacement from {s: 2, h: 1, y: 1, d: 1, v: 2, m: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s - 1. Let x(v) = 87 + 5*v + 80 - 169. Let c be x(1). Determine y(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 19*i - 72. Let r be z(4). Solve -g + r*l - 3 = 16, 0 = 4*l - 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137 - -194. What is the remainder when g is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56012 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 18*a + 18. Let x be z(-9). Is 18 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 228. Let v(s) = -11396*s. Give m(v(z)).\nAnswer: 259737632*z**2 - 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187220, 187224, 187224, 187220?\nAnswer: 187212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 6*w**2 + w - 7. Let n be m(6). Let r = -0.35505 + 0.05505. Which is the fourth biggest value? (a) -0.7 (b) -2\/21 (c) n (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b = 35*b - 18284. List the prime factors of b.\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1479*b - 1085*b + 148*b - 63*b to m*b + w and give m.\nAnswer: -2479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert fafc (base 16) to base 13.\nAnswer: 23326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331 = 38*h + 11 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 805586315 to the power of 1\/2, to the nearest integer?\nAnswer: 28383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = -z + 1, 0 = 2*p + z + 8. Which is the closest to p? (a) 0.4 (b) 3 (c) 1\/2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-21)*6*((-22)\/12 - -2)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/72)\/((-204)\/3910) + 1\/(-1) + -7?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 61. Let h = p - -49. Let z = h - -3.999976. What is z rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 11\/6*g**3 - g - 1\/2*g**2 + 0. Is l(2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4179\/(-995)*(-2 + (-32)\/(-6))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - l = 18, -w - 2*l = -0*w + 1. Let g = 5792 - 5773. Suppose a - 42 = -z + g, a - w*z = 31. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -282, -445, -608?\n\"Answer: -163*y - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwcccywcccscwwsycccs. What is prob of sequence cs?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 15 = 6. Suppose -t*v**2 - 4*v**4 + 18*v**3 - v**3 - 11*v**2 + 7*v**3 = 0. What is v?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 960 + -1088. What is the third biggest value in -2\/3, 3, p, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15 - (-4 - 1185\/(-75)). Let -3\/5*z**2 + c - 47\/5*z = 0. What is z?\nAnswer: -16, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204758781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m - 132. Let l be g(-34). Solve l*x + 5*o = 15, 2*o - 5 = 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 154799613?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - p = 2*q + 14, 2*q + 2*p - 26 = 0. Determine o so that 13*o + q*o**4 - 12*o**3 + 3*o**5 - 6 - 9*o**4 - 4*o + 6*o**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + 2 + sqrt(3)))**2.\nAnswer: 160*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -28. Let t = 2\/41 - 139\/328. What is the closest to 2 in -3, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 - y + y + (y - 3*y + 0*y)*(4*y**2 + 0*y**2 - 2*y**2) + y**2 + 2*y - 4*y**2 + y**3 + 2*y**2.\nAnswer: -5*y**3 - y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114.18913 + -0.27913. Round g to 0 dps.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52263\/4 - -5487263\/420. What is the common denominator of p and 37\/16650*8565 - 16?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -17542*w - 87823. Give k(-5).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 6) to base 12\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1*u)\/(u\/u**6))**(2\/43) assuming u is positive.\nAnswer: u**(14\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 = -3*j. Suppose 0 = -2*g - j, g + 74 = 3*y - g. Let o be (y\/(-10))\/(3\/(-10)). Solve -2*r = -z + 2 + 1, 0 = 2*z - 2*r - o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738903?\nAnswer: 1738903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.934751 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6608925 = -5*s - 5*l, -5 = 2*l - 1. Suppose -5043566 = -2*c - 0*c. Let n = c + s. What is n rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1445, -1, 11, -5 in descending order.\nAnswer: 1445, 11, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - o - 2)*(141*o**4 + 1679*o**3 - 1046*o**4 - 1679*o**3).\nAnswer: 905*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157714*d**4*h**2 + 35*d**2*h**2 + 4*d**2 + d - 18*h**2 wrt d.\nAnswer: 3785136*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 24*i + 14. Let x be t(25). Let w(a) = -7*a**3 + 2*a**2 + 2*a - 2. Let p(v) = -36*v**3 + 11*v**2 + 11*v - 11. Determine x*w(c) + 2*p(c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 12. Let d be h(-6). List the prime factors of ((-396)\/d)\/(-2*2\/8).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(36\/1752)*(283 + 1)\/(-2) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*k + 9, 3*z = -k - 0 + 7. What is the remainder when (z + (-4)\/(-8))*2 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2 + 81206530*c - 1648625128660225 = 0 for c.\nAnswer: 40603265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/12)\/(165\/88).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0)\/(m**(-1\/2)*m))\/((m\/m**2)\/m*m*m*m**(-8)) assuming m is positive.\nAnswer: m**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -104*l + 251 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3344*s - 484 = -6672*s + 3350*s for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o - 33066 + 1206873. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -107, -29, 81, 223, 397, 603?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -19.79\nAnswer: 19.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367487?\nAnswer: 179, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36215, 36216, 36217, 36218, 36219, 36220?\nAnswer: 36221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -61433464?\nAnswer: -61433466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**3 - 2*q**2 - 7*q - 6. Let s be (6\/21)\/((-1)\/(-7)). Suppose 6 = -4*f + s. Let i(x) = x**3 - x - 1. Let a(y) = f*t(y) + 5*i(y). What is a(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10260 + 122993\/12. Let o = -512651\/56 + 9153. What is the common denominator of o and f?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47995999306705 + 6390379331801084403\/133144. Let j = r - 9018\/11. Let n = -296557\/108936 + j. Calculate the common denominator of -41\/16 and n.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5*y**3 - 38*y**2 - 11*y**4 + 20*y**4 + 6*y**4 + 0 + 6*y**3 as c*y**2 + v*y**3 + g + i*y**4 + n*y and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 579 = -3*a, 0 = 2*f - 4*a + 542 - 138. Let u = 46 - f. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.4 - -10.6. Let k = m - 32.85. What is the closest to -2\/5 in 0.4, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 263 or 13375\/51?\nAnswer: 13375\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a = -4*y - 12, -139*a - 5*y - 15 = -135*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2\/2 + 858*x - 5121\/2 = 0. What is x?\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*x, -4*z - 4*x + 62 = -5*x. Suppose -4205 = -5*o - 5*m, z - 1 = 3*m. Suppose 4*f + 0*f - o = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 1, j: 3, f: 1, k: 3, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*x - 4. Let m = 5.9 - 6. Which is the biggest value? (a) x (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/35668410 and -44\/24967887.\nAnswer: 249678870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(3\/(-18))\/(2\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3*g*h - d**3*g - 4*d**3 - 721199*d*g*h + 25*d + 9*h - 467 with respect to g.\nAnswer: -2*d**3*h - d**3 - 721199*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**7\/420 - 7*l**6\/120 - 53*l**5\/120 - 5*l**4\/6 + 1732*l**2. Factor x(u).\nAnswer: -u*(u + 1)*(u + 5)*(u + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (40\/50)\/((-2)\/(-45))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 3:37 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 113?\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - u**2 - 7*u - 5. Let d(z) = z**3 - 7*z**2 + 5*z + 12. Let b be d(6). Is w(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/5*(1170\/(-12))\/3. Let x = i - -28. Suppose -3*m + x*w = -1, 5*m + 2*w - 14 = 3*m. Solve 0 = q - 2, m*n + 0*n + 3*q = 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85086 and 1389738?\nAnswer: 4169214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 6. Suppose 0 = 3*o - 26 - 1. Suppose 4*n - n = o. Let r be x(n). Solve 3*k + 3*j - r = 0, 0 = -4*k + j + 4*j + 31 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -25. Let i be (-4 - (2 + c))*-5. Let a be (0 + 4\/(-5))*-5. Which is smaller: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.105 - -0.242. Let r = 0.029 - z. Round r to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**5 - 3*f**4 - 48*f**3 - 60*f**2.\nAnswer: 3*f**2*(f - 5)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.19 and -3858051.855?\nAnswer: 3858051.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 16*x**2 + 27*x + 75. Let d = -140 + 121. What are the prime factors of k(d)?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -1986*r**3 + 6480. Let x(k) = k**2. Determine s(x(q)).\nAnswer: -5958*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.46 plus 2.63?\nAnswer: -62.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a**2 + 103*a + 29. What is r(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2833911881.681 and 21.\nAnswer: -2833911860.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 t when three letters picked without replacement from {g: 4, s: 2, t: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22448499 greater than 22448502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 9) to base 2.\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = v - 2*t, -8*t - 17 = -2*v - 7*t. Solve 0 = -v*s - 13 - 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9807898?\nAnswer: 2, 4903949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + -5*(-4 + sqrt(208) + 5 + (sqrt(208) + 5)*3)*3)**2.\nAnswer: 118560*sqrt(13) + 809809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - w**2 + 13*w + 5. Let d be t(-4). Let i(n) = -3*n. Let o(l) = l - 1. Give d*o(a) - i(a).\nAnswer: 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 5. Let y be (n\/(-16))\/(2\/16). Let t be (-172)\/(-22) - y\/(-11). What is the greatest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 2*m + 4*m)*(3*m - 3*m + 7*m) + (m**2 - 5*m**2 + 2*m**2)*(4 - 4 - 1).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z**2. Let a(l) = 36*l**2. Let p(s) = -3*a(s) - 16*k(s). Let d(o) = -3*o**2. Give p(d(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 1. Let g(h) = -2*h - 3. Let t(j) = -2 - j + 0 - 3 + 4*j. Let z be t(4). Give z*k(f) + 3*g(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-54)\/(-36)*500\/3. Let j(y) = 5 + 87*y + 78*y + 86*y - t*y. What is j(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 divided by 4764?\nAnswer: -241\/4764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42264, 42263, 42262, 42261?\nAnswer: 42260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184160, -736584, -1657296, -2946296, -4603584?\nAnswer: -6629160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**2 - 12*i**2 - 9*i**2 as c + k*i + z*i**2 and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4018289603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 - 8341\/(-38). Let m = 218 - f. Which is the third biggest value? (a) -0.3 (b) m (c) 72\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2 + 5 = 0. Does 17 divide -2 + 2 - -83*(0 + i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302716476 smaller than 302716474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 9775880466767\nAnswer: -9775880466772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (45 + -39)\/((-12)\/(-8)). Solve -t + n + 1 = 0, -t - v*n - 17 = n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1021*x + 1139*x - 1139*x)*(-5*x + 0*x + x).\nAnswer: 4084*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 4. Let b = -6 + o. Solve -2*n = 2*n + 2*m + 10, -b*n - 2 = -2*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5878 - 5860 - 5*r + 123*r**2 + 0*r. Let w(s) = 123*s**2 - 6*s + 20. Let q(g) = -6*v(g) + 5*w(g). Find the first derivative of q(l) wrt l.\nAnswer: -246*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3295 - -0.8295. Which is the nearest to u? (a) 3\/4 (b) -46 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*h - 91 = -3*f - 117*h, 0 = 5*f - 14*h - 69 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k + 69 = -3*o, -5*k = -3*o + 107. Let h = k - -31. Let s(w) = w**2 + 2*w. Calculate the remainder when h is divided by s(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*i - 35. Let c = i + 3. Let m(x) = 3*x + 6. Let h(k) = k + 3. Let l(o) = c*m(o) + 9*h(o). Find the first derivative of l(y) wrt y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(20\/(-12)))\/1. Let g be 1\/(-2)*(-9)\/s. Put 1, g, -1 in increasing order.\nAnswer: -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2904 + 2966. Calculate the least common multiple of 8 and r.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-34)\/51*(-274)\/(-8) and 143\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*2\/(1 - 5). Suppose 254 = 3*d + 2*n, -2*d + 0*n = i*n - 171. Does 14 divide (3 + (-3)\/2)*d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.09 plus 15183.70863?\nAnswer: 15181.61863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, -4\/5, 2, -47, 24, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -30330272?\nAnswer: -30330274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 2*f + 3. Determine h(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 71342.\nAnswer: 142684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/(sqrt(16)\/sqrt(2) + sqrt(8)) + 3*(-4 + sqrt(5) + -2 + sqrt(5)))*-4)**2.\nAnswer: -4320*sqrt(5) + 9684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5599 + 239. What is k rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = i - 27. Suppose i + 34 = 5*k. Suppose 4*l - 32 = 4*q - 4, -k = -4*l. What is the closest to q in 0.2, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 + 4*a**2 - 2*a. Let n(i) = -i**2 - i + 1. Calculate j(v) - 2*n(v).\nAnswer: -3*v**3 + 6*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22010021 (base 3) to base 16.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1482985 in -4, -2, 2, -6, -0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 20*l**2 - 6*l + 9. Determine j(2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38229, 38394, 38663, 39042, 39537, 40154, 40899?\nAnswer: 41778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 6:32 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 18*p + 18. Is 6 a factor of i(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*t = -85 - 240, -5*d + t + 409 = 0. Suppose 29*s = d + 5. Which is smaller: s or 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 12:03 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26511 + 13269 = 20*y. What are the prime factors of y?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77876.46 litres to millilitres.\nAnswer: 77876460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7326 or 7324?\nAnswer: 7326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -410?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)*1 + sqrt(189))\/(sqrt(70)\/sqrt(160)).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 0 + 0)*(-671*h**2 - 43*h - 387*h - 662*h**2 + 1367*h**2).\nAnswer: 68*h**4 - 860*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*f + 7103 - 94270 = 0. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-11)*6*196\/6762\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*(-1510)\/1057\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6281024.\nAnswer: 2, 17, 23, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178708, 178712, 178716, 178720?\nAnswer: 178724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/18 - -4) + (-2)\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -425 + 404.3. Let c = s + 25.7. Let q = -6 + 7. Sort q, -1, 1\/3, c in descending order.\nAnswer: c, q, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154 a factor of 142529386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85 + 22*t + 33 + 2*t**2 + 3 wrt t.\nAnswer: 4*t + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*z**2 - 186*z**2 - 364*z + 26*z**2 + 2 + 60*z wrt z.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 12 = -8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v, 5*y - 3*v + 1 = -9. Let w be (2*y)\/8*6. Sort w, -2, 3.\nAnswer: w, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5537126 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.11 (b) 318 (c) -0.5 (d) -0.219\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277431840 divided by 137615.\nAnswer: -2016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236605540 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(2 + 0 + 3)*(2*c - 1 + 1).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-175 - 11*f**2 + 175)*(-4*f + f + 0*f).\nAnswer: 33*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 228?\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11173817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632 = -c + 995. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*s = -112*s - 31. Solve -59*u = -58*u + s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -274 + 274. Suppose l = 12*f - 7*f - 2120. List the prime factors of f.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*v + s - 1, 0 = 2*v - 4*s + 16. What is the third derivative of 6*h**4 - 3*h**v + h**4 - 8*h**2 - 7*h**2 wrt h?\nAnswer: 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71*-12.8\nAnswer: -908.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/54)\/(126\/(-14)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2373392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10}. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -343*z**6\/2 + 588*z**5 + 1071*z**4\/4 - 706*z**3 + 354*z**2 - 72*z - 25. Determine q so that u(q) = 0.\nAnswer: -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 5.8. Let h = 0 - -0.4. Let i = h + -0.3. What is the nearest to i in w, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1284*n = -1312*n - 336 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k + 3. Let l(j) be the second derivative of 0 + 0*j**2 + 1\/6*j**4 - 5*j + 0*j**3. Calculate l(y(s)).\nAnswer: 50*s**2 - 60*s + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**3 + 8*x**3 - 38*x**3.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 66 = -0*l. What is the tens digit of (-137)\/(-2) - (-11)\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2943*z + 2287*z - 5791*z as m*z + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, c: 5}. Give prob of picking 4 d.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 17*m**2 - 4. Let n(i) = i**2. What is k(n(s))?\nAnswer: 17*s**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 - (-39 - -121) - 108?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 2, -21\/29?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(-95944*j + 49781*j + 53971*j).\nAnswer: -15616*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-8))**(29\/3)*j**(1\/2)\/(j\/(j*j*j**7\/j)) assuming j is positive.\nAnswer: j**(189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 18*j**2. Let a(s) = -2112*s**2. Calculate a(f(n)).\nAnswer: -684288*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = -5*a, -3 = -4*a + 3*a + i. Sort 2, a, -2 in descending order.\nAnswer: 2, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1182200 to the nearest 10000.\nAnswer: -1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -2 + 10 - (3 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 5*r**2 + 6*r - 1. Let a be (-16)\/10 + (-4)\/10. Let p be 1 - (10 + -1) - a. Let f be b(p). Are -2\/3 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 213 - 211. Let g(j) = -z + 8 + j**2 - 157*j + 153*j. Suppose -5*r = -0*r - 20. Determine g(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1021201010220 (base 3) to base 2\nAnswer: 10100110110010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6846 (base 14) to base 8\nAnswer: 43256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 7)*(2 + 12\/(-5))\/(23394\/2785)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (60 - (77 + -29)) + (-2 - 8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 186 = 2*t + 12*h, -400 = -4*t + h. Let p = 307 - t. Calculate the remainder when p is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197099?\nAnswer: 7, 37, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3.5. Let q = -0.4 + 0.3. What is the nearest to q in -1, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.2164233 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzuuuzuhhhuuzuuu?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 2*w**3 + 5*w**2 + 3*w**3 - 4*w**3. Let f be t(-2). Let n = -4 + f. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22002 (base 3) to base 9.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 2*k**3 + 7 + 6*k - 7\/2*k**2 - 9\/4*k**4. Let i(j) = -8*j**3 + 5*j**2 - 6*j + 5. Give 7*i(o) - 6*p(o).\nAnswer: -2*o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 1 - 1)*(-148 - 21*j + 148 + 0 + 0 - 2*j + (j + 1 - 1)*(-3 - 2 + 3)) in the form k*j + x*j**2 + a and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 + -125. Suppose x + 3*d + 1 + 14 = 0, r*d + 20 = 0. Solve x = 2*v + l, 0*l + 10 = -v - 3*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 15. Let x(k) = k**3 + 8*k**2 + 8*k - 2. Let l be x(a). Let c = -2 - l. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 361\/(-38) - -2*4) + (-230)\/540?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 - 13*i**2 - 5*i + 11. Let x = -3 - 3. Let w be o(x). Let z = 0.3 - 1.3. Put z, 0.5, w in decreasing order.\nAnswer: w, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.017 - 32. Let w = 0.02 - z. Round w to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37727339 and 533.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a century in months?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(539) + -1 + sqrt(539) - sqrt(539)) + 1 + 1 + sqrt(539))**2*-5 + -4)*1.\nAnswer: -24264 - 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*z - 49 = 66*z. Let h(v) = 3*v**3 - 3*v**2 - 17*v + 4. Does 56 divide h(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**3 - 2163*q**2 - 179238*q - 518328 = 0. What is q?\nAnswer: -626, -92, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 5*c**3 - c + 0*c**3 + 7*c**3 + (2*c**3 - 2*c + 2*c)*(2 - 1 + 0).\nAnswer: 4*c**3 - c + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -214*d**2 + 2*d - 1. Let s(j) = 427*j**2 - 3*j + 1. Let z(g) = -4*s(g) - 9*x(g). What is the hundreds digit of z(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.3 (b) 0.3 (c) -1\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598 is divided by ((-420)\/63)\/((-12)\/45)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 1) + -16 + 1. What is the common denominator of (-268)\/54*h\/(-8) and -23\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 5*d + 31, 10*d = 13*d - 4*f + 25 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 4*x - 1080, -3*x + 12 = -3. Let g = 331 + k. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 2*v - 5. Let g be z(-4). Let r = g + 26. Suppose 3*l + 5*a = -16, 4*l + 3*a = -2*a - r. Solve l*w + 5 = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -13*i + 9 + i**2 - 12*i + 3*i**2 + 0*i**2. Let p be y(6). Find the first derivative of 12*o**3 - 67 + 17*o**p - 12*o**3 + 46 wrt o.\nAnswer: 51*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004534 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -12*z**2 - 86*z + 3. Let r be f(-5). What is the highest common divisor of r and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*k + 21 + 9, -3*v + k = -12. Suppose 0*y + v*y = 3*l + 384, l = -4*y + 314. Is 26 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4893 + 2452 + 0*c**2 + 2443 - 349*c + 98*c - 2*c**3 + 5*c**2 to u*c + a + p*c**2 + j*c**3 and give u.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4 = 5. Let l = -0.3 + 0.2. Which is greater: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -5, 1, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 a factor of 45750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/6 (b) 20 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41627\/6094 - 7\/554. Is 6 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 439 + -441.19. Let o = -1226.81 - -1226. Let d = o + x. What is the nearest to 1 in 4, d, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 15. Suppose 0 = -4*z - 4*x + 28, z + u*x = -4*z + 23. Suppose 0 = z*j + 2*j. Solve -f - 2*f - 2*a - 6 = j, 0 = 4*f + 3*a + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9203555?\nAnswer: 5, 1840711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-1 - -4 - (-2 + 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + (sqrt(39)\/sqrt(75) - sqrt(13)))**2.\nAnswer: 8*sqrt(13) + 808\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3307?\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-291)\/45 + 4\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:25 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35589 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 327? (a) -4 (b) -2\/13 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 5*b**2 + 2*b + 7. Determine q(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.02, -1\/3, 14?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 689.3326 kilograms?\nAnswer: 689332.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**20)\/s)\/s)\/s)**(2\/19) assuming s is positive.\nAnswer: s**(-44\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1209 + 29107\/24. Find the common denominator of (34\/(-14))\/(8\/(-10)) and k.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 7:01 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -118. Let p = 118 - d. Let f(b) = 2*b + 12. Determine f(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75021 divided by -8\nAnswer: -75021\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*w - 7, -3*j = w + 10. Let h(v) = 33*v**3 + 4*v. Let g(y) = -8*y**3 - y. Let r(k) = j*h(k) - 9*g(k). What is the second derivative of r(s) wrt s?\nAnswer: 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.131*1.0476.\nAnswer: -0.1372356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 4:30 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367878 is divided by 11866?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 748497, 748632, 748767, 748902, 749037?\nAnswer: 749172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88922, 178277, 267634, 356993, 446354, 535717?\nAnswer: 625082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4144315 - 1155?\nAnswer: -4145503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -4304316?\nAnswer: -4304316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 5*j**4\/12 - 5*j**3\/3 + 4*j**2. Let x be m(8). Suppose -h - 4*h = -x. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/5))**7*j*j*j**0*j*j**(1\/3))\/((j*j**3*j*j)\/((j\/((j*j*j\/(j**(-8)*j*j)*j*j)\/j)*j)\/j)*j**(-8)\/j**(-2\/9)) assuming j is positive.\nAnswer: j**(-112\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 4*a = 13*q - 14465, 0 = -2*q + 4*a + 9610. What are the prime factors of q?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 5*r**2 - 5*r + 3. Suppose -14 = -5*o + 16. Is c(o) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1346*b**2 + 48*b + 29. Let w(m) = -449*m**2 + 16*m + 10. Let u(f) = -3*v(f) + 8*w(f). Find the second derivative of u(c) wrt c.\nAnswer: 892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 38. Factor 4*a**2 - 5 + j - 3.\nAnswer: 4*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1.975. Let t = 0.575 + j. What is t rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wol when three letters picked without replacement from {o: 1, w: 1, n: 3, k: 2, l: 3}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600 + 38 = -37*a - 472 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 306.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -312*v. Let d(c) = -3*c**2. Calculate s(d(n)).\nAnswer: 936*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 4*l = -11*a - 300, -a + 3*l = -49. What is the greatest common factor of 432 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/6)\/(355\/142))\/50?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 4*f**2 - 5*f - 20. Determine l(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.003, -1.4, -2.\nAnswer: -2, -1.4, -0.003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 45 = -8*p. What is the greatest common factor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -12. Let m be (-28)\/((-86296)\/115)*8\/(-10). Which is greater: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7113937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4402, 8832, 13250, 17650, 22026?\n\"Answer: -w**3 + 4437*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 4*y**2 + 14*y + 5. Let j be -3 - (-4 + 11 - 0). Let u be f(j). Suppose -9*x + 14*x - u = 0. Does 31 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0\/3 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 22269553*r\/3 - 989758.\nAnswer: (r + 1484637)*(15*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 18 = -5*p + 2, 47*p - 48*p = 3*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -384, -575, -766?\nAnswer: -957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 277466, 278102, 278738, 279374, 280010, 280646?\n\"Answer: 636*h + 276830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 + 112*l. Determine m(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486540 is divided by 1954?\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 894880421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -495496107*y**6 - 30*y**2 - 311100*y + 2 wrt y.\nAnswer: -59459532840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**5 + 40*i**4 - 125*i**3 + 190*i**2 - 140*i + 40.\nAnswer: -5*(i - 2)**3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51434186*g**2*u - 324*g - 918*u - 1 wrt g?\nAnswer: 102868372*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/200211566 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48540*x**2 + 95417*x**2 + 11*x**3 - 46877*x**2.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + 1115*g**2 - 1785*g + 10. Let l(v) = 2*v**3 - 1113*v**2 + 1783*v - 8. Let w(c) = -5*l(c) - 4*p(c). Find the second derivative of w(s) wrt s.\nAnswer: -12*s + 2210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7708, -442, -4 in increasing order.\nAnswer: -7708, -442, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -14*(-4 - 10\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 7)*(-5 + 1 + 1)*(2*t - 4*t - 31 + 38) to h + p*t and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -1\/2 (c) 1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 - -79. Suppose 4*q - m - x = 0, 0 = -0*q - 2*q - 4*m + 16. Let j be (-192000010)\/(-40) + (-2)\/q. Round j to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 17. Let q be p(6). Suppose -q - 27 = -s. Let m = -48 + s. Let c(u) = -u**3 + 3*u**2 - u. Give c(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:40 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107\/((-35524)\/1494)*-4*1\/(-477).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1057 - 1058. Which is the nearest to j? (a) -3\/4 (b) -5 (c) -2 (d) 182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 5. Let n(y) = y + 1. Let q(p) = -a(p) - 2*n(p). Let r be 6\/(-10)*1940\/(-194). What is q(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*2524\/6310\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n. Let v(c) = -c + 0*c + 2*c. Let q(i) = -26*i + 8*i + 11*i + 9*i. Let o(p) = -q(p) + 5*v(p). What is r(o(t))?\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -16 - (9 - 7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1210 and 18392.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s, -124 = 3*k - 7*k + 2*s. Are k and 34 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41788653 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1810438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**2 - 2*c**2 - 2*c**2 + (-c + 4*c - 4*c)*(2 - 2 - 3*c) - 890 + 890 - 29*c**2.\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -540*l - 10801. Let b be p(-20). Let d = -0.2 - -0.1. What is the second biggest value in d, 0.5, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l + k + 15 = 0, -l + 5*k = -12. Suppose s = 9 + l. What is the smallest common multiple of 8 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8144.59779ms to weeks.\nAnswer: 0.000013466596875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/15 and 82\/4095.\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32053.491359 and -0.043.\nAnswer: -32053.534359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 5*h - 6*h)*(3*h - 3 + 3)*(-11 - 3 - 1 - 2*h)*(3*h + 2*h - 3*h).\nAnswer: -24*h**4 - 180*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 53*m**2. Let s(f) = 107*f**2. Calculate -6*s(u) + 13*x(u).\nAnswer: 47*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28, 32, 36, 40?\n\"Answer: 4*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -2*(4 + -2). Let w(m) = m**2 + m + 1. Determine w(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/7145 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22260, -89057, -200406, -356325, -556832, -801945, -1091682?\n\"Answer: -3*s**3 - 22258*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189 + 44 - 4*z**4 + 69)*(2*z - 7*z + 4*z).\nAnswer: 4*z**5 + 76*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(102) - sqrt(102))\/((sqrt(48)\/sqrt(2))\/sqrt(4)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-22)\/(-8) - 6\/8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + v**3 - 2 + (3 - 5 + 1)*(-99*v**3 + 2038*v - 2038*v) + (3*v + v - 3*v)*(0*v**2 - 5*v**2 + 4*v**2) to p*v + s + k*v**3 + x*v**2 and give k.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w = 3*u - 27, 0 = -u - 2*w + 7. Calculate the greatest common divisor of 33 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3038, -6124, -9296, -12590, -16042, -19688, -23564, -27706?\n\"Answer: -6*i**3 - 7*i**2 - 3023*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2 (b) -89 (c) 0.3 (d) 3\/7 (e) -1 (f) -696\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49 and 0.1?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 996878.5 litres in millilitres?\nAnswer: 996878500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(((w**(2\/9)\/w)\/w)\/w)\/w*w)**(7\/8)\/(w**(2\/9)*w**13\/w))**10)**2 assuming w is positive.\nAnswer: w**(-2480\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2\/11 (c) -0.546\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 229*h**3*j**3*k*n + h**3*j**2 - h*j**3*k*n - h*n - j**2*n - 2*j**2 + 8*k wrt j?\nAnswer: 1374*h**3*k*n - 6*h*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47482*c**2 + 44277?\nAnswer: 94964*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, i: 2, f: 6, k: 3, n: 3}. Give prob of sequence pn.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8041294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 69 - 41. Let k(j) = -2*j - 10. Let a(v) = v - 6. Let q(z) = -2*a(z) - 2*k(z). Let y be q(-28). Which is smaller: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/(-18)*(-1 - 1). Suppose 2*b - 5*t = 25, 3*t - 5 = k*b + 4*t. Solve b = x + x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 11*b + 43*b)*(0 - 2 + 1)*(6*b - 8*b + 10*b).\nAnswer: -432*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**2 - 56*d + 56*d - 5*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r - 8 = 0. Let l = 32 - 29. Suppose -3*m = 5*g - 4 + l, 9 = -3*m. Solve 0*y - 2 = r*y - 2*o, -2*y - 2 = g*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*z - 20. Let h = z - 20. Suppose h + 8 = -4*l. Put -4, 5, l, -12 in decreasing order.\nAnswer: 5, l, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -11 + 22 + -18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -202011 (base 3) in base 4?\nAnswer: -20200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 17*s**2 + 11 + 15*s - 6*s - 9*s - 10*s + s**3. Let r be o(-18). Which is smaller: -2\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5157951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or 6566\/163?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 53.2?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*d + 50*d + 92. Let p = d + 131. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-9)*z*(z**5*z)\/z)**(30\/7) assuming z is positive.\nAnswer: z**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*((-18)\/(-60))\/(45\/(-420)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*h, -2*z + 2*h = -0*z - 120. Is z\/7 - 30\/105 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 15360?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 367*j - 354*j. Solve 0 = j*f + 2*k - 30, 2*f - 7*k + 3*k = -12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*t**4 - 65811133*t**3 + 1104377934 wrt t?\nAnswer: 16*t**3 - 197433399*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2 - 9*l + 4. Suppose 5*q - 6 = 19. Let o(u) = 6*u**2 + u - 2. Let c(h) = 17*h**2 + 4*h - 6. Let s(b) = -4*c(b) + 11*o(b). Give q*s(n) - 3*j(n).\nAnswer: 2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 9*t**2 - 21*t + 18. Let l be p(-11). Solve -l*v + 5*v - 10 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96273 and 23313.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 34. Let u(a) = -a**2 + 4 - 5*a**2 + 6*a**k + 4 - 5*a**3. Let z(g) = 2*g**2 - 3. Calculate 3*u(b) + 8*z(b).\nAnswer: 3*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303662 is divided by 163.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 14 + 35 - 2*z**2 + (1 - 1 - z)*(-4*z + 3*z + 5*z) - z**2 + 2*z**2 - 2*z**2.\nAnswer: -7*z**2 + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*h - 13*h + 19*h)*(h**4 - h**4 - h**4) - 8*h**3 + 8*h**3 + 3*h**5.\nAnswer: -16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (32\/(-6))\/((-4)\/6). Suppose -s = -6*o + 2*o. Suppose -7 - 9 = 4*y, 0 = -2*x + o*y + 38. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-1))\/((-5)\/15). Suppose -s = 5*b + u, 0*b = 4*s + 3*b - 5. Solve 0 = 3*q - 3*v, -4*q + s*v - 4 = -0*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqq. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oxxxxxoxxxo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 15*w - 5. Suppose 2*h + 4 = l - 7, 2*l - 20 = 2*h. Let b(a) = -a**3 + 9*a**2 + a - 5. Let c be b(l). Is g(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -36, -77, -134, -207?\n\"Answer: -8*a**2 - a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10357331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (42\/3 + -11))*(1 - 6). Solve -4*a - 6 = -5*m - 17, 0 = -s*m - 4*a - 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*k - 20 = 80*k - h, 2*k = 4*h + 18 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 20*g**2 - 5021*g + 289961. Give w(161).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59575\/6 - -9929. Put b, 0.1178, -1 in decreasing order.\nAnswer: 0.1178, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 - 17*u**2 - 5*u + 5*u.\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 1 = 0, 2*t - 4*t - 7 = b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*s - 412 = 0, s = 4*a + 6*s + 556. Let v = -103 - a. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1220\/63 - 173\/9. What is the closest to 0.1 in -3.4, -2\/19, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**3 + 1228. Let o(r) be the second derivative of -3*r**4\/4 + r. What is o(j(y))?\nAnswer: -81*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-360)\/32)\/((-1)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 19, 1244, 0, -1 in decreasing order.\nAnswer: 1244, 19, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**2 - 772*m - 22306. What is j(-116)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -8 - (-5 - (7 - 4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s*s\/(((((s\/s**(2\/5))\/s)\/s)\/s)\/s)))*s**(-32) assuming s is positive.\nAnswer: s**(-133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 22 - (25 - 13).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 21, 0.229?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2372*w + 18979. What is the remainder when (-18)\/4*(-10)\/3 is divided by k(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178515.6 rounded to the nearest 1000?\nAnswer: 179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - x + 3*u + 3, 1 = -3*x + 4*u. Suppose 1 = -x*p + 6. Let h be (p - 2)*(0 - -2). Let z(q) = -q**3 + 3*q + 2. Give z(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3479 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5 - 1747*w**4 + 5247*w**3 - 5249*w**2 + 1750*w.\nAnswer: -w*(w - 1)**3*(w + 1750)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2 times 0.088?\nAnswer: 0.6336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-21)\/(-14))\/((-3)\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998*r - 553*r + 45778 + 22140 = 791*r for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4674461 hours in microseconds?\nAnswer: 1682805960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20989*f**2 + 10478*f**2 + 10508*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2039, 4, 3 in increasing order.\nAnswer: 3, 4, 2039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 216456257 or 216456256?\nAnswer: 216456256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, 6, -80 in ascending order.\nAnswer: -80, 2, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*x - 3*y + 6, 5*x - 60 = 2*y. Let h(o) = -6*o + x*o - 32*o. Let a(k) = -2*k. What is h(a(f))?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 1:11 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 128365047 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00588505 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 4:07 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*h = -2*m - 400, 5*m + 4*h + 630 = 0. Is 17 a factor of 195\/m*3808\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-15))\/(94\/987). Which is the closest to -2\/11? (a) -4 (b) 7\/3 (c) 4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2116009810 or 2116009809?\nAnswer: 2116009810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 3*s - 2. Let k be l(2). Suppose k*i + i - 1 = 0. Is -2\/11 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f = -9. Suppose f*l = 95574 + 57426. Round l to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11 (b) -70 (c) 5 (d) -0.1 (e) -0.075\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80661046.\nAnswer: 2, 23, 593, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*n - 4, -5*y + 11 = -5*n - y. Let g(f) = 7*f - 2. What is the units digit of g(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 661606179*m*r**3 - 240426622*r**3 wrt m?\nAnswer: 661606179*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s**3 + s)*(-3*s**2 + 4*s**2 + s**2 - 5).\nAnswer: 2*s**5 - 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/18 + (-94)\/(-18). Suppose -o = l - 6*l. Suppose w - l - 2 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + -10. Let b = 20227\/10 - 2017. Calculate the common denominator of b and (-158)\/o*8\/(-18).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + (84\/(-15) - 0))\/(204*6\/(-60))?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2358 and 270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-1*-3)\/((sqrt(20) + (sqrt(20) - (sqrt(20) - sqrt(180))))\/sqrt(5)) + 0)*-4.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -35*u + 3653. Determine s(102).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*l - 319*l - 172*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -134, 6, -183 in decreasing order.\nAnswer: 6, -7, -134, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2128\/1989 + -40\/221. Suppose 2\/9*v**2 + s + 10\/9*v = 0. What is v?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 300*p**2 - 10912*p - 10912. Give d(-1).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616783163?\nAnswer: 3, 538927721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*x**2 + 0*x + 9\/4*x**4 - 3\/4*x**5 + 0 - 9\/4*x**3.\nAnswer: -3*x**2*(x - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0882588 - 0.2241?\nAnswer: -0.3123588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 75, -1, 4, 632?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 10*r**2 + r - 2. Let c(s) = -3*s**3 - 7*s**2 + 4*s - 10. Let o be c(0). What is z(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -81, -240, -545, -1044?\nAnswer: -1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.0893 - -1.0893. Which is smaller: -0.1254 or r?\nAnswer: -0.1254","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(1 + -4 - 0) - -2. Let h be (r - 6014\/6) + 2\/6. Let u = -712 - h. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r + 26 - 2. Suppose 0 = 4*w + 5*n + 37, 4*n + 10 = -10. Sort 3, r, w in decreasing order.\nAnswer: 3, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0474, -7\/5, 2, -243?\nAnswer: 0.0474","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 216 = 645. Let c = 147 - q. Calculate the highest common factor of 456 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/3 + 3988*g**2\/3 + 3074579*g\/3 + 3070592\/3 = 0.\nAnswer: -2944, -1043, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*o + 7*j + 177, 2*o - 5*j = 91. Let u(q) = -q**2 - 15*q + 10. Let g be u(-7). Suppose g = m - o. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4869471 is divided by 656.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(10) - (6*sqrt(100) + sqrt(100))\/sqrt(10)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3101, -0.3, 5, 2\/15 in descending order.\nAnswer: 5, 2\/15, -4\/3101, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) -25 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**6 - 84*q**5 + 36*q**2 - 11*q wrt q.\nAnswer: -120*q**3 - 5040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 718 + -411. Calculate the remainder when c is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + m = -2*m - 1, 0 = -4*c - 5*m + 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -292 - -295. Calculate the highest common divisor of 33 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.516443609 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.778327 - 0.202075. Let y = d - -1.98. Round y to five dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 + 78. Let k(l) be the second derivative of 0 + 2*l + 1\/36*l**f + 0*l**2 + 0*l**3. Find x such that k(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26086 is divided by 1372?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*m + 52. Let k = 18 + m. Suppose k*p - 4*p + 11 = 0. What is the least common multiple of p and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + -1*sqrt(130))*-6)\/(sqrt(50)\/(sqrt(25)\/sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2645, -3073, -3787, -4787, -6073, -7645?\n\"Answer: -143*w**2 + w - 2503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohhohfffffhh. Give prob of sequence foh.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**4 + 3*f**3 - 114*f**2 - 108*f + 216 = 0.\nAnswer: -6, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5.93 (b) 2\/17 (c) -6 (d) -12 (e) 5 (f) 4 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(231\/(-54)) - 4\/(-2). Which is the third biggest value? (a) u (b) -1.9 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**4\/8 + 65571*y**3\/4 + 2098875*y**2\/8 + 3607725*y\/4 = 0.\nAnswer: -11, -5, 0, 43730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 10. Calculate the remainder when 15 is divided by t(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*b - 354*b = 39*b + 521*b - 27984 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50399*x**2 + x + 51442*x**2 - 99412*x**2 - 3321*x**6 wrt x?\nAnswer: -398520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/5))**(-47)*f**(-4\/13)*f**1\/f assuming f is positive.\nAnswer: f**(-4297\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*l**3 - 11*b**3*l**2*r - 2*b**3*r + 2252*b**2*l**3*r - 10*b**2*l - 20*b**2 - b*l**2*r wrt l.\nAnswer: -12*b**3 + 13512*b**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5878 - 6120 = -13*r - 3782. Which is greater: 629 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(28)\/sqrt(4)*-4) + (-1*(sqrt(325) + 4 + sqrt(13)))**2.\nAnswer: 191*sqrt(13)\/4 + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -8*q + 8. Calculate the lowest common multiple of 18 + 1 + q + -1 and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483 - 8579 = -736*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 5\/17, 9\/23.\nAnswer: 2\/11, 5\/17, 9\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16804906267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**5\/60 + 5*k**4\/24 + 7*k**3\/6 - 5*k**2. Let c(s) = -3*s - 4. Determine -5*c(a) - 3*p(a).\nAnswer: 3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 6*v**2 - 2*v + 6. Let a be t(-6). Let l = 44 - a. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = -8. Suppose -21 = -5*u - t*f + f, 5*f = u - 25. Calculate the greatest common divisor of u and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -3882.2?\nAnswer: 3884.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*5\/30*(-56)\/(-616).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4113944.1 rounded to the nearest 1000?\nAnswer: 4114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2471*l - 17 = -2474*l, 2*l + 19 = 11*t + 61 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (69136\/96)\/29) + (-1)\/6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 3*a - 3*a)*((4*a - 4*a - 2*a)*(-3 + 0 + 4) - 1 + 1 - a)*(-218*a**2 + 533*a**2 + 20*a**2) as v*a**3 + g*a**2 + i*a + m*a**4 + x and give m.\nAnswer: -1005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1172554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 150933114 a multiple of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 60427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -47642679 and 48726029.\nAnswer: 1083350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4013144 (base 5) to base 15.\nAnswer: 13c69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**4\/7 - 33*p**3\/7 - 3*p**2\/7 + 33*p\/7 = 0.\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -177410 (base 8) to base 6\nAnswer: -1222132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1969*-3\nAnswer: -5907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 98989157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + -121031?\nAnswer: -120333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 - -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(1539) + sqrt(1539) - -5*(-2*-1*sqrt(19) - sqrt(19)))**2.\nAnswer: 31939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 385, 14460 in increasing order.\nAnswer: 2, 385, 14460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7128283 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h. Let u(d) = -3*d + 9. Let t(k) = 14*k + 3. Let p(o) = 5*o + 1. Let w(a) = 17*p(a) - 6*t(a). Let c(g) = -u(g) - 9*w(g). Calculate c(n(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46003325371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**10\/30240 + t**9\/15120 + t**4\/8 - 2*t**2. Let m(d) be the second derivative of n(d). What is q in m(q) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 2*q**3 - 2*q**3)*((1 + 5 - 5)*(-3 + 4 - 4) + 1 - 5 + 2)*(-4 + 1 + 2).\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*a - 352*a - 2961 = 0. What is the smallest common multiple of a and 705?\nAnswer: 4935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1010331 - -4?\nAnswer: 1010340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 310582 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-483)\/4025)\/((-3)\/(-10)). Which is the third biggest value? (a) v (b) -1 (c) 6\/5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 + 4*c**3 - 2*c**3 + (2 - 2 + 2*c**2)*(3 - 3 - 2*c) - 4 + 2*c**3 + 4 - 3*c**3 + c**3 + 3*c**3 + (4 + 2 - 5)*(c**3 + 0*c**2 + 0*c**2).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/12)\/((-2)\/(-1074)). Suppose -5*v + l = 64. Calculate the remainder when v is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 139?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875326119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 <= 466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = i - 8 - 124, -3*w - 4*i + 86 = 0. Let v = 30 + -18. Let p = -3 + v. Solve w = -5*g + p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 12. Let j = 8 + d. Put 0.2, j, -2\/7 in increasing order.\nAnswer: -2\/7, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 16 = -h - 3*h, -6 = -3*h - 3*s. Calculate the lowest common multiple of h and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 689720.9 litres?\nAnswer: 689720900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2880 + 2941. Calculate the remainder when 1091 is divided by t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98.2 + 98.7. Let g = -0.2 - 0. Which is the third smallest value? (a) 1.2 (b) g (c) p (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2) + (-51)\/(-34). Solve -j*p + 3 = -6*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -272\/227 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-nine quarters of a litre?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12004963 to the nearest integer?\nAnswer: 3465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1398 minus 0.08?\nAnswer: -1398.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 108\nAnswer: -7\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2903, 11231, 24949, 44051, 68531, 98383, 133601, 174179?\nAnswer: 220111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-55)\/15)\/((-2)\/(-3600000)). What is o rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q - 9. Let m be l(6). Let h(o) = -2*o**2 + 0*o**2 - o**3 - o + 5*o**3 - 2*o**m - 1. Determine h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 + -4.4. Let b = -7.624 + 0.734. Let z = b - u. What is z rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 573, 578, 587, 600, 617, 638, 663?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-216333)\/(-26) + 4\/8.\nAnswer: 53, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 s when four letters picked without replacement from fffsfffffsffsffssff.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*d - 0*d, -3*d = -12. Suppose -5*m = t*i + i - 1600, -5*i - m = -1612. Let w(b) = i*b - 323*b - b**2. Let q(r) = -8*r**2. Calculate w(q(s)).\nAnswer: -64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + -995551?\nAnswer: -995563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvv when three letters picked without replacement from {d: 1, v: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4088366, -4088356, -4088346?\n\"Answer: 10*i - 4088376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 6 = 21*a. Let o = -3928 - -3928. What is the nearest to -2\/9 in a, o, 2, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-375)\/150 + 1\/((-2)\/(-6)). Which is the closest to d? (a) 0.3 (b) 3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 452 - 424. Suppose -58*n - v = -62*n. Solve q = 5*a - 20, -2*q - 15 = -n*q + 2*a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-1 - 3) + -6 + 11 + -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.26 - 0.06. Let o = a - -1.32. Is o <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**6\/240 - q**4\/6 + 7*q**2. Let f(m) be the second derivative of g(m). Give f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 40. Suppose 16 + 10 = -2*j. Let v = -8 - j. Solve r*c + 5*s = v*c - 14, -2 = 3*c - s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39db + -2a?\nAnswer: -3a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85400\/(-5712) + 15 + 1\/(-6).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(80\/56) - 125\/50\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - (6 - 4\/(-12)))*-15. Is 23687 - 16\/(20\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*y + 1132, 3*y - 4*h + 1071 = 208. Let b = y - -586. What are the prime factors of b?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 - 3*f**2 - 2*f - 3. Let g(i) = -4*i**3 - 5*i**2 - 4*i - 5. Let l = 12 + -12. Suppose -6*c + 9 - 27 = l. Determine c*g(u) + 5*p(u).\nAnswer: 2*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34862 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from civvvevvvvcvwvcvwv. Give prob of sequence ww.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) - (sqrt(108) + 2 + sqrt(108)) - sqrt(3))) + (sqrt(3) + 2)**2 + 2 + 3.\nAnswer: 14 + 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sysssssssy. Give prob of picking 3 s.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/598 and 61\/692926?\nAnswer: 15937298","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -91*x + 18 + 57 = -96*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 3, 1\/3, 17.09, -0.3 in descending order.\nAnswer: 17.09, 3, 1\/3, 2\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*n, 0 = 3*f + 2*n - 8*n + n + 5 - 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7814 + 8)*2\/4. Suppose -4*m = -n - 3121, 5*m - 5*n = -7*n + w. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4845 + 3*(3 + -2). Let b = -38849\/8 + p. Calculate the common denominator of -32\/3 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + i**2 - 54 + 23*i**3 + 60 - 2*i**4 - 4*i - 3*i**2 - 2*i**2 in the form q*i**2 + l*i + x*i**4 + d + c*i**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:20 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 - -1) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = 0, -2*h - 19 = 2*s - 91. Suppose -n + 21 = 4*g, 0 = -3*n + g + 2*g + h. What is the highest common factor of n and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39322, 13, -4, -11.\nAnswer: -39322, -11, -4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/15, -0.2, 1\/53?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 35 + 49 = 0. Suppose -5*z + 45 = -4*q, 27 = 6*z - 3*z - q. Let d(a) = 2*a - z*a - a**3 + 6*a**2 + 0*a**3 + h + 12*a. Calculate d(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 16) + (-45 - -64). Let x be (2\/(-1))\/(1\/(-8)). Solve -m*s - s = -x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 - -174. Let r be 3\/9 + 862\/b. Let w = r + -69\/5. Calculate the common denominator of 15\/2 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/9872 and -59\/14808.\nAnswer: 29616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/29 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 15. Let k(b) = 12*b + 18. Let w(n) = -n**2 - 6*n - 2. Let v be w(-6). Let r(d) = 3*d + 4. Let g(t) = v*k(t) + 9*r(t). Determine g(i(p)).\nAnswer: -6*p - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, -9, 2\/17, -0.2, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-31 - -43 - (3 - -4) - 4) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (11\/90)\/((-3)\/(-6)) and 5920\/(-370) + 5284\/330.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 4. Let d be q(3). Suppose 2*j - 6 + 2 = 0. Find m such that -m**j - 1 - m - 2*m + d*m**4 + 8*m**5 - 2*m + 17*m**3 = 0.\nAnswer: -1, -1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, e: 2, n: 4}. What is prob of sequence ntt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y + 278268 = 37*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1800*(-195)\/48*4. What is the greatest common factor of r and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 60. Suppose -5*o = f - 415, 5*f + 7 = -c. What is the greatest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1350 - -4?\nAnswer: -1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 6. Let z be n(22). Let p be 6\/4*(z\/3)\/(-4). Suppose -5*x - p*s + 0 = -5, -x + 1 = 2*s. Is 16\/9 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 101745970*i.\nAnswer: 2*i*(i - 50872985)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26030085585*c - 9*c**2 - 26030085585*c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/4 - 735*n**4\/4 - 11949*n**3 + 852016*n**2 + 3545592*n + 3590460 = 0.\nAnswer: -654, -122, -2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u + 3*h + 91 = 0, 4*h + 92 = 4*u. Let m(j) = -5*j + 1. Let r be m(-1). Suppose -2*x - r = -u. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 18 - 8) + -2 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/8, -1.93, -3\/2, 0.2, -2\/5 in ascending order.\nAnswer: -1.93, -3\/2, -2\/5, 0.2, 15\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 10 = -2. What is the tens digit of a\/(3\/33*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -2\/15, -0.2, -0.351?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 497.2 + -449. Let o = 48.7 - w. Put -2.1, 0.3, o, 0 in descending order.\nAnswer: o, 0.3, 0, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722479029 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2172 = -3*z - 2*o, 2*z - 4*o - 1468 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*i**3 - 47266*g**2*i + 994*g**2 - 2*g*i - 103376970*i**5 wrt i.\nAnswer: -6*g**2*i - 2067539400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.3 (c) -0.3 (d) 5 (e) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1427079217 to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11425 is divided by 74.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pocppocpppoccpcop. What is prob of sequence cpp?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -197 + 202. Suppose -5*x - b + 126 = -329, -d*x = -2*b - 470. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 16*v**2 - 44*v - 4. Let h be q(12). Let p = 51 - h. Solve 0 = -p*t + 5*t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and 156477.\nAnswer: 3286017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35.2 - 35.2000999. Round n to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-35)\/7 + 3\/(6\/998)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1662, -3355, -5048, -6741, -8434?\nAnswer: -10127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 223976 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/25069 and 19\/2537.\nAnswer: 1479071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/((-42)\/20))\/1)\/(20\/(-72)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -2, 1113251.\nAnswer: -2, 1.2, 1113251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6 - 9 = -2*x, 0 = -4*m + 12. Suppose 9*f - x*f + 3 = 0. What is the third smallest value in f, 0.2, 2\/97?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 20, -236*a + 231*a - 5*i = 1145475. Round a to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*w**2 - 124*w**2 - 115*w**2 + 18*w**2 - 74*w**2.\nAnswer: -400*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + c + 40 - 110 = 0, 5*p = 5*c + 110. Suppose -50*x + p*x = -4752. Calculate the highest common factor of 33 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 730637\/36 + -20294. What is the common denominator of p and 137\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 6*n - 2. Let a be z(5). Let h(i) be the first derivative of -4 + 1\/2*i**4 + 2\/3*i**a + 0*i - 2*i**2. Factor h(w).\nAnswer: 2*w*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7354 + -7354.2. Let i = 0 + -0.1. What is the nearest to g in i, 0.5, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3 + 4) - -25. Suppose 4*n - 9 = -0*n + t, 0 = -2*n - 5*t - h. Let j(d) = -6*d**3 + 1. Determine j(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8436295 rounded to the nearest 10000?\nAnswer: -8440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3169, 13582, 31237, 56140, 88297, 127714, 174397, 228352?\nAnswer: 289585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -19.9 (b) 4\/11 (c) 4\/9 (d) 4 (e) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4444396ml to litres.\nAnswer: 0.0004444396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f*f\/(f\/(f*f**(-1\/9)))*f))\/f))\/((f\/(f*f\/(f\/(f\/(f*f**(-1\/2)))*f*f)))\/f))**48 assuming f is positive.\nAnswer: f**(488\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 147\/2521 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - g**4 + 4 + (-2*g + 3 - 3)*(-g + g + 2*g**3) - g**4 + 3*g**4 - 4*g**4.\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2867 - 2786. Calculate the remainder when 112 is divided by l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-90)\/(-8) - 8\/32. Let c(a) = -72*a**2 - 6*a - 1. Let l(u) = 215*u**2 + 17*u + 3. Let z(h) = t*c(h) + 4*l(h). Is z(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20548546 to the nearest integer?\nAnswer: 4533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*u - 22 = 0, 0 = -3*u + 3 + 3. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.69238 meters?\nAnswer: 7692380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5817 or 5580?\nAnswer: 5580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 262 - 182 = -4*x, -2*f = -4*x + 448. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u. Let x(y) = -4*y - 6. Let g(n) = -5*n - 7. Let l(h) = -6*g(h) + 7*x(h). Calculate l(s(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1792*j - 90 + 18 + 24 + 32 - j**2 + 17 to p*j**2 + n*j + g and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 5:01 PM?\nAnswer: 449","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12075013, 24150028, 36225043, 48300058?\n\"Answer: 12075015*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4823, 3, -19, 48, -2 in decreasing order.\nAnswer: 48, 3, -2, -19, -4823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1724*i - 1727*i + 4*s = 16, 3*i - s + 4 = 0. Sort -5, -316, i, -4.\nAnswer: -316, -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26351?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -902432 - 17701*s**3 + 902432 + 17700*s**3 - 13*s.\nAnswer: -s**3 - 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -4122?\nAnswer: -4121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 23*h**5\/5 - 35*h**3\/3 + 1. What is the third derivative of s(p) wrt p?\nAnswer: 552*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and 0.1459?\nAnswer: 0.10213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 294398*i**3 - i**2 - 94*i - 103 wrt i.\nAnswer: 1766388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1607, 1601, 1597, 1595?\nAnswer: 1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**2*b*w - 300*a**2*w**3 + 84*a**2*w - 2*a*b - 6*b*w**3 wrt w?\nAnswer: -1800*a**2*w - 36*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 10 = -3*w, -w - 13 = -5*h + 7. Solve 2*g - h = 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -84*b**2. Let g(p) = 10*p. Determine g(m(n)).\nAnswer: -840*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x + 2*y - 0*y, x + 4*y = 17. What is u in 18\/7*u**x + 44\/7*u**3 + 48\/7*u**4 + 16\/7*u**2 + 0 + 2\/7*u = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 + 14*t + 1. Let l be y(8). Let c be ((-9)\/(-27))\/(2\/42). Is 14 a factor of c*(-1 - l\/(-35))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -233795, -233799, -233803?\n\"Answer: -4*n - 233791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**4\/8 - 11*m**2. Let l(q) = -4*q + 56*q**2 - 50*q**2 + 4*q. What is x(l(t))?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 283041 + (-15 - -17 - -6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y - 2. Let d = -2 + 4. Let q be i(d). Let r be q\/12 - 2\/6. Let c(b) = 6*b**2 + 1. What is c(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1100) - (sqrt(1100) + -1)) + sqrt(1100) + 2 + (-5*(sqrt(132)*-2 + sqrt(132)))\/((sqrt(12) - -1*sqrt(1452) - sqrt(12)) + sqrt(12)).\nAnswer: 3 + 125*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 57*z + 658. Does 11 divide p(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - c**2 - c + 7. Let d be x(0). Let p(h) = h**3 - 7*h**2 + 4*h - 8. What is p(d)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**4*s + 2793*a**4 - 165*a**3*s - a**2*s + 37*a**2 + 3*a*s - 3*a + 7 wrt a?\nAnswer: 336*a*s + 67032*a - 990*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 38 + 8 = 0. Let o(y) = -y**3 + 3*y**2 + 3*y + 7. Let i be o(l). Suppose -5*v - m + 513 = -0*m, 2*m = 3*v - i. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 17, 28, 37, 44?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 16 = -4*j, -26 = -3*o + 4*o + 5*j - 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 9 = -21. Let l be -8 + 4 + (v - -4). Which is smaller: l or -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**4\/4 + 7*j - 4. Let d(o) be the first derivative of y(o). Let z(h) = -7*h. Determine d(z(m)).\nAnswer: 147*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8099402 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -40*k + 35*k - 3200715, -2*k = 2*x - 2133826. Round x to the nearest 10000.\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 5*u + 6. Let n be g(-4). What is the common denominator of n\/(-6) - 4440\/(-144) and 24\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -267*b + 1 + 199*b - 124*b + 639*b as r + h*b and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - (-1 + 9 + -13 + -2)) + -8?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.24 in -0.1, 2\/3, 0.5, 3, 0.51, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 14 = 446. Calculate the greatest common divisor of c and 486.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -12 (c) 3\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 56 = -5*a, -g + 2 = a - 10. Calculate the least common multiple of 9 and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -6. Suppose -g*l + 12 = -13. What is the first derivative of -3*m - 2*m - m + l + 3*m wrt m?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/72*1)\/(149 - 120 - 968\/32).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a + q = 3, -a = 5*q - 15. Solve 5*l - 2*t + 4*t - 29 = a, -5*t + 10 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 27. Let l be x(19). Suppose -l*p - 2*p + 220 = 0. Find h, given that -p*h**3 + h**5 + 2*h**4 - 285 + 16*h + 6*h**2 + 5*h**5 + 277 = 0.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707167?\nAnswer: 181, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 8. Let c(w) = -3*w + 24. Calculate -4*c(z) - 11*r(z).\nAnswer: z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*w + 3*k, 2*w - 20 = -2*w - 4*k. Suppose 5*h + 0*h = w. Calculate the highest common divisor of h and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 71. List the prime factors of c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c - 16. Determine d(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 18*p**3 + 9*p**2 - 2*p + 9. Let n(c) = 2*c**3 + c**2 + 1. Let a(h) = 7*n(h) - r(h). Let k(v) = -v**2 + v - 1. Calculate a(z) - 2*k(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 259*f**2*g**2*r - 2*f**2*g*r - 2*f**2*r - 12*f**2 - f*g*r + 6*f*r + 6*g**3*r + 545*g**2*r - 245*g*r - 3 wrt g.\nAnswer: 518*f**2*r + 36*g*r + 1090*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12846 + -7981. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*-5)\/(sqrt(5) + sqrt(25)\/(sqrt(35)\/sqrt(7))).\nAnswer: -15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -215\/4 + 3217\/60. Sort q, 5, 0.02 in decreasing order.\nAnswer: 5, 0.02, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86*2.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 531.37 - 1502951.2922?\nAnswer: -1502419.9222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*n = 13, -5*w + 21 = 5*n - n. Suppose -1 - 8 = -y. Let s be 364\/(-400) - y\/(-12). Which is bigger: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5836 = 592*s - 12247 - 15447 - 6558 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/77 - -83\/231. Let v = 3 + 2. Put -1\/9, v, p in increasing order.\nAnswer: -1\/9, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -20. Suppose -s = -w - 3, -b*s + 2*w + 14 = -s. Solve -h + 1 = -s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.06967 + 0.2359?\nAnswer: -1.83377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3536 = 2*o - 2*r, -12*r + 15*r - 8848 = -5*o. List the prime factors of o.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0 - 14 = -3*b, 12 = 2*p + 4*b. Suppose 8*s = 4*s. Solve s = l + p*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -19*h + 5*h + 13*h. Let d(t) = 10*t**2. Determine l(d(g)).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 43. Let s = 14 + -9. Solve -p*k - s = 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19966635, -39933261, -59899887, -79866513?\nAnswer: -99833139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-38*m + 8 - 8)*(-2 + 30 - 6) + 3*m - 4*m + 3*m)*(3*m - 3*m + 2*m)*(4 - 2 - 1 + 2 - 1 + 1 + (5 - 4 + 1)*(0 + 3 - 1) - 2 + 1 + 0).\nAnswer: -10008*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4448, -8903, -13362, -17825, -22292?\n\"Answer: -2*d**2 - 4449*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82779611*s + 60449635.\nAnswer: -82779611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-5))\/((-8)\/16). Suppose -4*o = 8, -3*z + o = -3*o - 8. Factor z*m**2 + 0 - u*m + 2\/5*m**3.\nAnswer: 2*m*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 6:57 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630 and 2009322.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4457 + -4464. Which is the fifth biggest value? (a) 1\/3 (b) 0.1 (c) j (d) -2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21005*h**3 + 10599*h**3 + 10404*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = 5*g. Solve 4 - g = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - c + 29 = 0, -m + 36 = 2*c + 34. Solve 4*q = -z - m, q + 4 = 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100020100 - -20020?\nAnswer: 100110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01 - 0.11. Is -3 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 12*n + 16. Let w be v(-13). Suppose -4*i = -5*i. Suppose s + i*s = -1. Put s, w, 4 in decreasing order.\nAnswer: 4, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*m, -m + 0 = g + 1. Suppose -20 = -z + h + 4*h, 5*z + 2*h - 73 = 0. Suppose -291 - 78 = -123*v. Solve -m*l = z - v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*a = 4*g - 99, 3*a = 0. Let i(x) = 87*x. Let u(f) = -11*f. Let r(v) = g*u(v) + 4*i(v). Let t(h) = h**2. Calculate t(r(m)).\nAnswer: 225*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1246857+9609807\nAnswer: 9609807.1246857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/42 and 730\/924 - (1 + (1 - 1)).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*n + 3575, 811 = 4*n - 4*o - 2041. Calculate the greatest common divisor of n and 408.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 95136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -333513, -669687, -1005861?\nAnswer: -1342035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, 20 in descending order.\nAnswer: 20, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 9*d - 23. Let z be q(-11). Sort 19, 0, z in descending order.\nAnswer: 19, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 2200?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 796.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1345299347.\nAnswer: 7, 89, 991, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-1) + (-8)\/(-4) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8517967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3\/5)*f*f*f)\/f*f*f\/(f*f\/(f\/(f\/((f*f**(-7))\/f))*f)))**(-18\/5) assuming f is positive.\nAnswer: f**(324\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*l - 31 - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 629*p - 5051. Calculate m(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 4 (c) 2 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t - 2 = -62 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 337*q - 338*q - 1. Which is the third biggest value? (a) q (b) -346 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-44)*28\/273?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*(-3)\/24*2. Suppose 6 = -j + y*j. Let q be (j\/(-9))\/((-3)\/27). Solve q*f - 7*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 0*o - 6 + 17*o - 8*o - 7*o. Let x be (1 - (-1 - 1)) + 1. Determine y(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**4 + 8*s**4 - 2*s**4 + 11*s**2 - s - 49*s**2 - s**3 as q*s**2 + f + w*s**3 + y*s**4 + c*s and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 326.8244l in millilitres?\nAnswer: 326824.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10211 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1\/9)*b))**30\/((b**(-3\/2)\/b*b)\/(b**(-2\/53)*b)) assuming b is positive.\nAnswer: b**(1843\/318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**6\/15 - 17*s**5\/4 - 923*s**4\/12 - 133*s**3\/2 + 441*s**2\/2 + 2*s - 379. Determine x so that d(x) = 0.\nAnswer: -21, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3. Suppose -3*d + 10 = -5*t, -4*t + 0*t - d - 8 = 0. Let m(r) = r**3 + r**2 + 4. What is t*m(p) - 3*z(p)?\nAnswer: -2*p**3 - 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3 + 3*o**2 - 10*o + 3. What is r(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1111 + -1106. Let k be (1\/2)\/(1\/84). Suppose 2*u - 5*u = -k. What is the remainder when u is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (9 + (-68 + 60 - (-3 + (11 - 1))))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.21001 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.7497323 to one decimal place.\nAnswer: -46.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11118 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1570, -12, 0, 1 in increasing order.\nAnswer: -12, 0, 1, 1570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*n*p**2 + n*p + 1603424*n - 80359401*p**2 wrt n.\nAnswer: -6*p**2 + p + 1603424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0*9\/(-81))\/(-11 - -3). Solve j = -55*o + 59*o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/120813750 and 16\/495.\nAnswer: 1328951250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/160 and -71\/360.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35843?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*i - 0. Let s be ((-1)\/2)\/(1\/i). Let c = -2 + s. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001100 (base 2) to base 5.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-6))\/(2\/6). Let b be (-2)\/h*14\/4. Solve 0 = 4*w - 9 - b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 12. Let a(w) = w**3 - 11*w**2 + 11*w - 8. Let j be a(i). Let h be -2*(36\/8 - j). Is -1\/3 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -123\/4, 1\/2, 2\/3, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 10 - 0. Suppose b*m - 16 = -38. Let l(y) = 7*y**2 + 2*y. Let w(h) = 6774 - 6774 - 4*h - 13*h**2. Give m*l(p) - 6*w(p).\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111903 = 25*f - 70272. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16610437, 33220878, 49831319, 66441760, 83052201, 99662642?\nAnswer: 116273083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90479746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 370 or 804?\nAnswer: 370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 24. Suppose -20*l + 605 = -9*l. Calculate the highest common divisor of o and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlkqadddd. Give prob of sequence ak.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16424961.\nAnswer: 3, 7, 782141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**6\/360 + 7*y**5\/120 + 7*y**4\/24 - 11*y**2. Let s(p) be the second derivative of g(p). Calculate s(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8182 - 4084 - 2*i - 4098.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/13)\/(x*x**(6\/11)\/x*x))\/(x\/(x*x*x\/x**(2\/7)*x))**33 assuming x is positive.\nAnswer: x**(87960\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13178844*z**3 + 2018278*z**2 - 3*z.\nAnswer: 79073064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77281652?\nAnswer: 2, 7, 929, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465902?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 24 + 4 = -5*v, -2*v - 1 = -k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**3 + 21*o**2 + 24*o + 6. Let j(c) = c**3 + 4*c**2 + 5*c + 1. Let b(k) = -17*k**2 + 561*k + 11. Let w be b(33). Give w*j(z) - 2*r(z).\nAnswer: -z**3 + 2*z**2 + 7*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 2*n. Let h be w(-3). Suppose -4*q = -h*q. Let d be q\/(-4 - 0 - -2). Solve 3*z - 4*t + 1 = 0, 5*t + d*t + 4 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -133*j**3 - 2525*j**2 + 51*j + 260. What is c(-19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171 + -175. What is the fourth smallest value in a, 4, 3, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84516127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3478975366 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 27\/5*m**2 - 54\/5*m - 1\/15*m**6 - 13 - 13\/5*m**4 + 12\/5*m**3 + 18\/25*m**5. Solve d(w) = 0 for w.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 4*p + 3. Let g be z(-2). Suppose 4*o = g*o + 2. Let j = 0 - 0. Solve j*h + 2*h = -o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/22 and 67\/15538?\nAnswer: 170918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o - 66. Let k be a(-12). Solve 0 = -n + k*n + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 + 81.7. What is the closest to s in -2, 5, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 25. Calculate m(-20).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 237, 315, 373, 417?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -51. Let g = 77 + u. Suppose 5*t + 129 = 4*j, -5*j + 3*t - 4*t = -125. Calculate the highest common factor of j and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -78\/6523?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1090 + -586. Let d = o + 31892\/19. Let i = 435\/76 + d. Calculate the common denominator of 87\/8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 1, f: 1, o: 1, s: 2, z: 1}. Give prob of picking 1 t, 1 z, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -862, -695, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -2983 = -2983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, -1, -27, -46 in descending order.\nAnswer: 2, -1, -12, -27, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/231140 and -95\/16?\nAnswer: 924560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 7. Let p be d(7). Suppose -64 = -4*v - p*v. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r. Let a(i) = -32*i. What is a(u(p))?\nAnswer: -160*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2 + j**2 + 2*j + 3*j**2 - j**3 - 6. Let k be t(4). Factor k - 2 + q**2 + 11*q - 8*q.\nAnswer: (q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z. Let a(l) = -3*l**2 + 14. What is a(g(x))?\nAnswer: -108*x**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -3)\/(1 - 0). Suppose j = -2*o - 1. Let v(w) = w**2 + 5*w + 1. Determine v(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 24\/10*(-400)\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**5\/150 + c**4\/10 - 3*c**3\/5 + 3*c**2. Factor k(i).\nAnswer: -2*(i - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -51. Solve 2*y + 3*r = -8, r + 3 - 5 = h*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1737400 and 4\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163670 (base 9) to base 16.\nAnswer: 18b1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(147) + 3)**2 - (((sqrt(30) + sqrt(30)*-3)*5)\/sqrt(10))**2.\nAnswer: -144 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9972?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/(144\/(-90)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41460\/(-11056)*3\/((-15)\/28).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*a**3 + 1284*a**3 - 498*a**3 - 522*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -173 + 234. Suppose -851 - c = -3*d. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(210) - sqrt(210)*2 - sqrt(210))\/sqrt(6))\/(sqrt(15)\/sqrt(3)*6))**2 + -6*(-3 + 1 + sqrt(700))**2 + -2.\nAnswer: -12671\/3 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008416584 to six decimal places.\nAnswer: 0.000842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**9\/v*v**(-13))\/(v**(1\/10)*v\/(v\/v**(2\/5))))**(-42) assuming v is positive.\nAnswer: v**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 12. Suppose -5*a + 210 = n, -5*n - a = -2*a - 972. What is the smallest common multiple of 13\/(n\/(-42))*-5 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 + 0*i**2 + 4*i**2 + i**2 + 8*i**3 - 7*i**2.\nAnswer: 2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14325 = -5*h - 4*f - f, 0 = 5*h + 4*f - 14327. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -37.596149.\nAnswer: 41.596149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-332)\/(-14))\/(2 - (-9 - 836\/(-77))). What is the greatest common factor of 17098 and a?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 334914 - 144028 = -2*s, -478938 = -2*s - 4*n. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) + 6\/390. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 0 + 0*h**3 + 7*h**2 + h**3 + 1 + 11 + 6*h. What is the units digit of x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2446\/12 + 1\/6. Let v be 3\/2*g\/18. Let l = -14 + v. Solve -r = l*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (3 - 9 - 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 616498 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 87 - 63)*(5 - 3*i**5 - 5).\nAnswer: 345*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4120150*w**3 - 12001927.\nAnswer: -12360450*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -632, -3, 33, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/(m\/m**(-5)))\/((m**(-3)\/m)\/((m\/((m**(-1\/5)\/m)\/m))\/m)) assuming m is positive.\nAnswer: m**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 0, 6*v = -5*w + 2*v + 300. What is the greatest common divisor of 48 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1068359?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.825405 millennia in months?\nAnswer: 45904.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1181, 5326, 12235, 21908, 34345, 49546, 67511?\nAnswer: 88240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*g + 79170 = -41961, 4*g = 4*j - 121136. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3376 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2) - 2*1. Suppose -12 = -3*v + 7*v. Let s be (v\/5)\/(7\/(-35)). Put l, s, 1 in decreasing order.\nAnswer: s, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 4*i**2 - 2*i + 1. List the prime factors of c(-5).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 150 = 9*v. Is (-12)\/v + 10694\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3831, 7664, 11497, 15330, 19163, 22996?\nAnswer: 26829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15693397277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06211 and -27.\nAnswer: -26.93789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times -19221.7?\nAnswer: -480542.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**9\/756 - k**5\/24 + k**3\/3 - 2*k**2. Let h(b) be the first derivative of z(b). Find the second derivative of h(d) wrt d.\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 8*h**2 + 2*h + 26. Let v be m(-8). Calculate the greatest common divisor of v and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*x + x + 18, 2*i - 8 = 3*x. Calculate the remainder when 52 is divided by (45\/(-6) + x)\/(1\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.45, -137, 0.91, -0.05 in decreasing order.\nAnswer: 0.91, -0.05, -0.45, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3\/((h\/(h**4*h))\/h))\/(h*h**3*(h*h**(2\/13))\/h) assuming h is positive.\nAnswer: h**(50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -321.496 rounded to 0 dps?\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - ((6*-2*sqrt(78) - sqrt(78)) + sqrt(78) + sqrt(78)) - -5*sqrt(78)*5)\/((sqrt(72)\/(1*sqrt(2)))\/(sqrt(6)*1*-4)).\nAnswer: -148*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 254 = 2*t - t, 3*h - 244 = 4*t. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.2, 609\/4, 2\/7, -0.02, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10264 - 1775 = -396*q - 8112 + 2345 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 35*c**2 - 407*c + 1573.\nAnswer: -(c - 13)*(c - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + p + 3 + 2 = 0, -2*l = -p + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0546696506 to five decimal places.\nAnswer: 0.05467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffft when four letters picked without replacement from {l: 5, f: 6, t: 6}.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2435436 and 15221475.\nAnswer: 60885900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 3*w - 6*w + w**3 + 21 + 18*w**2. Let u be 4 - (-546)\/168*4*1. What is the units digit of c(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -241522?\nAnswer: 241518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((4 - 7) + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9*l*l*l*l**(2\/47))**(2\/39) assuming l is positive.\nAnswer: l**(1132\/1833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.1, 78, 1\/1764 in descending order.\nAnswer: 78, 6, 0.1, 1\/1764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1442475 to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 102 - 98 = -5*w, -3*o + 97 = 2*w. Suppose 0 = -w*x + 38*x + 288. Let g = -90 + x. Solve -3*j = -g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 12*d - 6. Suppose 9 = -9*r + 12*r. Suppose -13 = 5*b - r, -4*w + b = -14. Let j be (2 - 2)*w\/6 - 8. Let z(t) = -4*t + 2. Calculate j*z(s) - 3*a(s).\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -146\/95 + 7913\/760. Which is smaller: 10 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = 2*w - 3*w, p = -3*w + 3. Is ((-210)\/(-28))\/(w\/8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-8)*(-16)\/10. Let f(r) = -r**2 + 5*r - 4. Let t be f(o). Let b = 113 - 113. Is t < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440530890.\nAnswer: 2, 3, 5, 541, 27143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154\/3 - 51. Let f = -0.19 + -0.01. Which is the closest to -0.2? (a) 1\/5 (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1718 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 9:00 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -653 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (17\/4 - -1) + -5. Factor z*s**2 + 3\/4*s - 1.\nAnswer: (s - 1)*(s + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 510*o + 24624.\nAnswer: (o - 456)*(o - 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 1128 - 36. Let v = l + -258. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27786046.\nAnswer: 2, 13893023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -878517 minus 0.44444?\nAnswer: -878517.44444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55242, -55244, -55246, -55248, -55250?\n\"Answer: -2*p - 55240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-64)\/80 - (-312)\/15. Calculate the greatest common factor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222210 - -120?\nAnswer: 2000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 17 = 5*m, 5*n - 14 = 5*m - 19 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 42 + -11 + 37 + -12.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 2:49 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5283, 10568, 15853, 21138?\nAnswer: 26423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbuye. What is prob of sequence ebuy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 45, 26, -11, -72?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 6*n**2 + 6. Let w be f(-6). Suppose -27*u = -25*u - w. Solve 7\/4*k**2 - 1\/4*k**u - 3\/4*k**4 + 0*k - 1 + 1\/4*k**5 = 0 for k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12157)\/(-5) + (-688)\/1720 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 23*p - 29 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**33)\/(((j*j**(15\/8)*j*j)\/j)\/j)*j\/(j*j*j**30\/j)*j**37)**(1\/29) assuming j is positive.\nAnswer: j**(-223\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2901639.4 rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a millimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1152)\/(-20))\/12 + 1\/5 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*k - 7*k. Suppose -2*j = k*c - 12, 0*j = -3*j - 2*c + 28. Suppose 0 = 3*t + 2*t - 90. Calculate the highest common divisor of t and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w + 27. Let i(j) = j + 9. Let q(t) = -2*c(t) + 7*i(t). Let v be q(5). Suppose -v*l + 12 = -0*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.86 - -574.86. Let t = i - 1018. Let z = -448.999817 - t. Round z to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627 a factor of 17196342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0*(-3)\/(-9). Suppose -c = -9 + 4. Suppose -2*x = -3*l + c, 4*x = 3*l - 5 + 4. Solve 0 = -x*i - 3 + b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4455\/7 - -58167\/91. Factor 0 + 22\/13*s**2 - 2\/13*s**3 - l*s.\nAnswer: -2*s*(s - 9)*(s - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000587 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v**2 + 2*v + 47. Let w(m) = -30*m**2 + 9*m + 235. Let b(s) = -11*p(s) + 2*w(s). What is the hundreds digit of b(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17, -2, -166, -10, -14 in ascending order.\nAnswer: -166, -17, -14, -10, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82*p**6 - 26*p**3 - p**2 + 23*p + 4 wrt p?\nAnswer: 9840*p**3 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2880885 and 4795.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3762 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152 + -102.2. Let z = -50 + r. Which is the closest to -2? (a) 3 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4500)\/13 - (1 + 1). Let n = w - -348. Suppose 4 - 70 = 26*l + 7*l. What is the third biggest value in -1\/2, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 27172, 56102, 85044, 114004, 142988, 172002, 201052, 230144?\n\"Answer: b**3 + 28923*b - 1752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-3)*(-870)\/25?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*-1*(-1)\/(-2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 15. Let x be (2 - m)*(-2)\/12. What is the nearest to x in -2, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 37199, -0.3, -4?\nAnswer: 37199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008783118 rounded to 4 decimal places?\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13650.\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3384\/(-16))\/((-1)\/2048). Suppose 3*i - 124836 = q. Suppose -4*f - f = 5*t + 465010, 2*f - 2*t + i = 0. Round f to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + x - 2. Suppose -1 = -4*m + 111. Let q = m - 11. Let h = -15 + q. What is d(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26702 and -0.48.\nAnswer: -12816.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122648997?\nAnswer: 3, 241, 169639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k - 26*k**2 + 36*k.\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 25*c - 13. Calculate the smallest common multiple of 133 and t(-26).\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 45*w**2 - 22*w - 87. What are the prime factors of c(44)?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201931, 201960, 202009, 202078?\nAnswer: 202167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -21*j**2 - 43*j + 1\/3*j**3 - 244. Factor p(d).\nAnswer: (d - 43)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 - (3 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25565, -102324, -230283, -409436, -639777, -921300, -1253999, -1637868?\n\"Answer: q**3 - 25606*q**2 + 52*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/125*10\/(-12)*3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9742021403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/2*(13 + -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + 432. Suppose -3*z = y - 0*z - a, 5*z + 1412 = 3*y. Find the third derivative of -12*p**2 + y*p - 474*p + 8*p**3 wrt p.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.013 times 8.6107\nAnswer: -0.1119391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(34) + (1*sqrt(204))\/sqrt(6) + sqrt(34) + (2*sqrt(408))\/sqrt(12))\/((sqrt(352)*-5 - sqrt(22))\/sqrt(11)) + 1.\nAnswer: -3 - 5*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 83*j**3 - 1827*j**2 + 62*j - 844. Determine t(22).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 6) to base 16\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -886*f + 132. Let p(q) = 127*q - 19. Determine 4*a(l) + 27*p(l).\nAnswer: -115*l + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 422295?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z - 7. Suppose b = 1, -3*g + b = -4*g + 3. Suppose g*r = 7 + 1. Calculate the remainder when z is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/27072 and 91\/648?\nAnswer: 243648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 59.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110922, 443677, 998254, 1774647, 2772850, 3992857, 5434662?\nAnswer: 7098259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2860702272 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -373ed (base 15) in base 8?\nAnswer: -530416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154548.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -550026.\nAnswer: -1\/275013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 - (4 - -4))*(-807 - -1). Let c = -3673 - x. What is c rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 658, 492, -842, -3974, -9534, -18152?\nAnswer: -30458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 5*u - 5. Sort 2, -4, u, 4 in ascending order.\nAnswer: u, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 522 - 74475.1.\nAnswer: -73953.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 160271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-18)\/27*266\/(-56))\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 0, -23904, 703.\nAnswer: -23904, -1, 0, 5, 703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in 0, 3, -1, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 - (2 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 849 = 177. Let y(i) = -33*i + o*i + 2 - 33*i - 29*i. Give y(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/10)*y**(-1\/3))**(-20\/11)*((y**(-1\/12)*y)\/y*y**(4\/3))**6 assuming y is positive.\nAnswer: y**(523\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 + 1852*l\/5 + 147488\/5.\nAnswer: 2*(l + 88)*(l + 838)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 765097953 to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 4*d - 2. Let v be g(-4). Let n be (-96)\/(-8) + (-1 - v). Solve a + k = 3, 0 = -4*a + 7*a + 5*k - n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-256)\/(-14) - 8\/28. Suppose 2*v = -0*v - 4*p + c, 4*p - 12 = 0. Let x(r) = r**3 - 2*r - 1. What is the remainder when 38 is divided by x(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32856128 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59.6 + 57.6. Suppose 7 = -4*z + 19. Which is the fourth smallest value? (a) -0.4 (b) g (c) z (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2929*t**2. Let z(h) = -29*h**2. Let v(s) = 2*b(s) + 203*z(s). Let m(a) = 5*a. Determine v(m(d)).\nAnswer: -725*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or -336332?\nAnswer: -336332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*k**5 + 24*k**4 - 9*k**3 + 25654*k wrt k.\nAnswer: -400*k**3 + 288*k**2 - 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -3*l + 93. Suppose 35 + 25 = 3*x + 3*u, -4*x + 2*u = -l. Solve 5*v = -0*z - z - 26, 0 = -4*v - 5*z - x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -6 (c) 0.3 (d) 0.03 (e) 4 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**3 + 2*b**2 - 116*b - 85. Let i(h) = 3*h**3 - h**2 + 59*h + 45. Let v(g) = 7*i(g) + 4*r(g). Calculate v(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - c - 4*c)*(-2*c**2 - 3*c**2 + 4*c**2) + (-4*c + 4*c - 5*c)*(c**2 + 0*c**2 + c**2).\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c + 1. Let a be o(2). Let z = a - -10. Suppose -g - 4*y - 16 = 0, -g + 9 = -4*y + 3*y. Which is greater: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2533 and -2934021?\nAnswer: 2931488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(12)\/sqrt(6)))\/(sqrt(176)\/sqrt(4) + sqrt(44)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2029 - -2034.93. Which is smaller: -2\/11 or a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 12*m**2 - 52*m + 374. What is x(10)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/(13\/26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -16*b + 500. Let v be m(31). Let a be (-3)\/2*-2 - -14. Suppose -a = 3*c + 4*g - 3, c = 3*g + 17. Solve v*w + 19 = p, 7*p = -3*w + c*p - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1254 and 35\/264.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 73*u + 23. Let b be a(-5). Let o be b\/(-66) + 2\/(-11). Suppose 5*l + 675 = o*d, 3*d + 2*l - 1 = 404. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/24)\/(-25*10\/150)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3536996604?\nAnswer: 2, 3, 19, 15513143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 9:37 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2. Let n be 861\/12 - (-5)\/20. Suppose x - 7*x = -n. Let d(c) = -10*c - x*c + 20*c. Give d(w(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.1011?\nAnswer: -0.5055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkvkjvwvbvovvkk. What is prob of sequence ko?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*((-11)\/(-561))\/(64\/544).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 2*v + 1. Let t(m) = 63*m**2 + 2*m + 25. Let i(z) = j(z) + t(z). Differentiate i(y) wrt y.\nAnswer: 124*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3974, 15887, 35742, 63539, 99278?\n\"Answer: 3971*r**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 16 = 2*o, 48*o = -4*a + 53*o + 44 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-192)\/(-84) - (9\/7 + -1). Solve 0 = -h*m + 5*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in six fifths of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35890000 rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*j - 17 = -2*i, 4*i - 2*j - 54 = 0. Solve 2*l + 2*l = -i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 2\/13 (c) 5 (d) 0 (e) -20 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 divided by -21?\nAnswer: -120\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 - 119 = 2*w. Let c = w - -336. Calculate the remainder when c is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (6 + -9) - 2) + -30 + 131?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3670 and 496918.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 - 39 = 10*t + 19 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32.2849 times 1.7\nAnswer: 54.88433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 7*l - 7. Let u be v(3). Let i be -5 - (u + -2 + -14). Solve 2*p - i*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) -6 (c) 0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2899 + 8711 - 2906 - 527*x**2 + 1760*x**2 - 2906.\nAnswer: 1233*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a - 9. Let t be d(6). Let w(y) = y**2 - 22*y + 42. Let j be w(20). Solve -6 = j*n, -3*u - 4*n = 18 - t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (3 - -50))*422. Round z to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*y - 6736 + 3916 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1. Suppose 796*w - 808*w = -3792. Let f be (-2)\/(-3) - (w\/(-12) + q). Calculate the highest common divisor of 208 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 2*k**2 - 2*k)*(-k - 326 - 59 + 695) to the form n*k**2 + i*k**3 + x*k + s and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/3 + 5386*z\/3 - 3646048\/3 = 0.\nAnswer: 794, 4592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 48*o**2 + 50*o + 103. Let j be n(-2). Calculate the highest common divisor of 156 and j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 14 - 11) + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -330?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*q = -57*q + 32*q - 252784. Sort -5, q, 5.\nAnswer: q, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.078 * -0.01\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nslljpllppjpgjpjnnls. Give prob of sequence gspp.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95872 + 86093041\/898. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -17. Suppose 0 = -u*a - 0*a + 4*t + 24, 3*t = -3*a + 36. Let z = 2 + a. Solve z = -h + 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8237 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*d + 1. Let w be 2 - (9\/(-1))\/d. Let l be 418\/11 - ((-6 - -3) + -3). Calculate the highest common divisor of l and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b1 + 8c?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 186851 and -20.349.\nAnswer: 186830.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 2 - 7*j + 0*j + j - 3*j + (-2 - 3 + 3)*(-1 + 1 + j))*(639*j + 30*j - 265*j).\nAnswer: -4444*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7700271, -7700269, -7700267?\n\"Answer: 2*q - 7700273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 40 (c) 2\/189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(272)*1*-5 + -3 + 2 + (sqrt(136)\/sqrt(4) - sqrt(34))\/sqrt(2))*-4.\nAnswer: 16 + 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = -54 - 44. Let i be (u - 1491\/(-28)) + (-2)\/8. Let b be i\/52 - (0 - -1). What is the third biggest value in 5, -0.3, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*(sqrt(448) + 2))**2 - (1 + (sqrt(448) - (sqrt(448) + 4 + -3 + sqrt(448))))) + -4 + -1.\nAnswer: 136*sqrt(7) + 1803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3, 6\/559 in descending order.\nAnswer: 6\/559, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - l - 5)*(-7*l**3 + 3*l**3 - 13*l**3)*(0 + 2 + 0)*(l - 4*l + 2*l).\nAnswer: -34*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 21. Suppose 3*c - 83 = -5*g - 0*g, -q*c + 4*g = -89. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-393)\/(2\/4 - 2). Suppose 4*h = -h - 4*u + 448, 3*h = u + a. Does 27 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 6\/5, -11, 0.3, 0.2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12043, 24079, 36113, 48145, 60175?\nAnswer: 72203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-4 - -1) + 8. Let k be o\/10 - 0\/2. Let p = -0.35 + 0.05. What is the closest to k in 1, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -a + 176, -103*j - 5*a + 364 = -99*j. Calculate the greatest common divisor of j and 1978.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v + 6 = 0. Let h(f) = 1 - 3*f**2 + 5*f + 1 + 2*f**v + f**3 - 5*f**2. Let x be 10\/(-1)*(-2)\/4. Determine h(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -564*o + 245. Is u(-30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (5 + 45\/(-9) + 11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -956*y - 1949 = -22025 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qggqgggggb. What is prob of picking 1 q and 1 g?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*((q*q\/(q*q*q**(-14)))\/q)\/q)\/q*q*q*q**2*q*q)\/(q**(2\/5))**(2\/49))**30 assuming q is positive.\nAnswer: q**(26436\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w - 10. Let y be r(5). Suppose 0 = 2*k - 4*o - y - 50, 0 = 2*k + 3*o - 49. Let g = k + -2. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26861 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -222?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*r - 69, s - r + 9 = 3*r. Let o be (-12)\/(-2) - (3 + -1). Suppose -o*c + 1 = -s. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87684*q - 4*i = 87689*q - 34, 4*q - 19 = 5*i for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p + 20. Let z be k(0). Suppose 2*s = -3*s + z. Let f = 280 - 279.9. Put -2, -0.03, f, s in descending order.\nAnswer: s, f, -0.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 11:51 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.5 (b) -2\/3 (c) 1\/6 (d) -43.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 13. Suppose -x = 5*w - 2*w - 50, 5*w - f*x = 110. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o**2. Let g(h) = -1210*h. Give z(g(m)).\nAnswer: -10248700*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yudrduqp. What is prob of picking 1 u, 1 q, and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*u = -76*u + 2760. Is u a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 464256.\nAnswer: 928512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 29, 76, 131, 188?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 5744200.3.\nAnswer: 574420.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4366 and 4602.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*w - 5*w + 38*w - 806 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -3*g + 3, -11*d - 5 = -5*g - 13*d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -24*b - 4. Let v be n(-12). List the prime factors of v*(-1 + 20\/16).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -944*n - 476*n + 286*n - 848*n - 879*n in the form m + q*n and give q.\nAnswer: -2861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*g**2\/3 + 1940*g\/3 + 3040\/3.\nAnswer: 5*(g + 76)*(5*g + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - -399?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1719755*l**5 - 4*l**4 - 7498302*l**2 wrt l?\nAnswer: 103185300*l**2 - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9991.986 weeks in nanoseconds?\nAnswer: 6043153132800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 + 70*h + 370. Determine f(-11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q + 41*q = 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.09 + -27.1. Let w = 0.01 + n. What is the second smallest value in w, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 682 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -26*t + 73. Let r be z(-7). What is the highest common divisor of 68 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 734\/223?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(36)\/sqrt(4))*-2 + -2*sqrt(44)*2 - (-4 + 1*sqrt(11)*4 + (sqrt(11) - sqrt(110)\/(sqrt(20)\/sqrt(2)) - 1*sqrt(44)))**2.\nAnswer: -60 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 44.1 * -143\nAnswer: -6306.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3301 + cd?\nAnswer: -3234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190010, -379936, -569858, -759776, -949690, -1139600?\nAnswer: -1329506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 57, 68, 83, 102?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16871197 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -4)\/(0 + (-8)\/(-12)). Let j be 0 + v - -4 - -256. Suppose x = j + 545. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 4:28 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 1.3. Let f = -6.233 + -246.067. Let z = -252 - f. Which is smaller: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 102?\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/12 at least 0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 598 - -3319536662?\nAnswer: 3319537260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*g**2*t**3 + 7*g**2*t**2 - g**2*t - 897*g**2 - 2056*g*t**3 + 5*t**3 + t**2 wrt t?\nAnswer: 174*g**2 - 12336*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/1 + (-48)\/(-9). What is the second smallest value in m, -2, 4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19626\/2)\/(15 + (-17 - (-46)\/20))?\nAnswer: 2, 5, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z - 59*z + 11*z + 15*z + 14*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110562 (base 9) to base 6.\nAnswer: -1225515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31395, -62685, -93975, -125265?\n\"Answer: -31290*y - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + m = f - 3, 0 = -14*m + 98 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84007373, -168014747, -252022121, -336029495, -420036869, -504044243?\nAnswer: -588051617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1395284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, w: 7}. What is prob of picking 3 w?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 12 = j, -23 = -3*u - 359501*j + 359497*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4514, -4513, -4506, -4493?\n\"Answer: 3*u**2 - 8*u - 4509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44608\/20910*(-30)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j - 12 = -4*m, 0 = -2*j - 4. Let c = 2 - m. Solve -t - 2 = 4*d - 0, 2*d + 2 = c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*v + 4*v + 5*z, 3*z + 124 = -5*v. Let o(a) = -12917*a - 91. Let p be o(v). What is p rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrwrrwrrrrwrrr. Give prob of sequence rrr.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v**2. Let n(f) = 4*f - 2. Calculate n(h(a)).\nAnswer: 40*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*v + 148, -4*l - 27 = -v - 7. Suppose 2*m - v = -2*i + 5*i, 10 = -5*i. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 22. Calculate the remainder when 17 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 607 = -4*r + 16*l, 5*r + l - 770 = 0. Calculate the remainder when r is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-6)*((-50640)\/2)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u - 55 - 4*u + 56. Is 17 a factor of l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -322 in ascending order.\nAnswer: -322, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 111*g - 11 = 109*g, 2*t - 5 = g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89573689 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + 15. What is the smallest value in 0.5, 3\/2, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, w: 1, l: 1, n: 4, t: 1}. Give prob of sequence lws.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -393*g. Let a(f) = 700*f**2. What is a(v(u))?\nAnswer: 108114300*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -41. Let b = i + 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.14 * 1.1.\nAnswer: -2.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/19 (b) 3\/10 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 2:43 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 8670 = 2*k, 0 = k + 3*k. What are the prime factors of ((-27)\/(-81))\/(2\/x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1750 + 1751.279. Let a = k - 0.029. Let d = a + -1.37. What is d rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/10 and 63\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 14*q**3 + 2*q**2 + 14*q. Let x = -812 - -801. Let j(y) = 5*y**3 + y**2 + 5*y. Calculate x*j(u) + 4*n(u).\nAnswer: u**3 - 3*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2 - 1 - 2 + 44*p. Suppose 963*g + 1269 = -683*g + 377*g. Calculate d(g).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 6*l - 3*l + 7, 2*l + n + 3 = 0. Is (-6650 - (0 - l) - 5)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2614 and -53\/4.\nAnswer: 5228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-32)*-2*112\/(-504). Let f(x) be the first derivative of 1\/6*x**4 - 5\/12*x**2 + 3 - 1\/9*x**3 + 2\/15*x**5 + r*x**6 - 1\/3*x. Factor f(z).\nAnswer: (z - 1)*(z + 1)**3*(z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 370\/70 - (-2)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134 - -114. Let p be (6\/(-4))\/(15\/s + 0). Solve 3 = 5*h - p, 3*h = -3*y + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*r + 24, 9 = -5*x + 4*x - 4*r. Solve -5 = x*p + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27813136 divided by 133717.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 445*o**5\/4 - o**4\/2 - 223*o**3\/3 - 4825*o. What is the third derivative of i(v) wrt v?\nAnswer: 13350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 51 and 0.212.\nAnswer: 51.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-78)\/72 + 1 - (-2)\/(-8). What is the second smallest value in -3\/5, d, 1, 29?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19363 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let p(l) = 10*l + 6*l + z - 14*l + 2. Give p(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 3*x**2 + 1 - 3*x**2 - 5*x**2 + 10*x as w + c*x**2 + f*x and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 867 and 14546526?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150 - 82. Suppose -g = -3*i + i + s, -4 = -g. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 5 (c) -2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 918 and 45.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2812\/2574 - (-42)\/(-126)) + (-12)\/27 and -49\/1287.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k + 9. Let o be x(-8). Suppose 3*a + 3 = c + 2, -5*c = 3*a - o. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3782100 to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021865895 rounded to 4 dps?\nAnswer: 0.0219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 8 + 2. Let p = o - 7. Let c(h) = h + 4. Let d(b) = -2*b - 5. Give p*d(i) - 3*c(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**(-17)\/(g**(-4\/13)*((g\/(g*g**(-1\/11)*g))\/g)\/g) assuming g is positive.\nAnswer: g**(3351\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6858\/(-1524)*((-64)\/(-6))\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -25. Suppose -n = 2*o - 31. Solve -3*b = -2*j - o, -3*j + 0*j + 15 = 3*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 9. Suppose 66*o - 56 = 70*o. Let l be b(o). Solve 4*m - 17 = l*k, 0 = -4*k + k - 2*m - 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 5230004?\nAnswer: 5230001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -t + 2, 3*b - 2*t - 1 = 0. Which is bigger: -1\/712 or b?\nAnswer: -1\/712","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 12 - 12 = 0. Let i = w - -6. What is the derivative of i*f**2 + 2*f**2 + 3 + 0*f**2 - 5 wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 205021 and 3.\nAnswer: 205024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**3 + 0*g**3 + 137 - 346. Let z(c) be the third derivative of -11*c**5\/60 + c**2. Determine h(z(b)).\nAnswer: -363*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p. Let c(u) = -3*u. Let y(s) = -s**3 + 7*s**2 + s - 4. Let v = -11 + 18. Let i be y(v). Let q be (-10)\/(-6)*i\/(-1). Calculate q*k(f) + 3*c(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3928 divided by -4\nAnswer: -982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 + 6*u - 15 + 3*u**2 + u**2. Suppose -168*a - 40 = 5*w - 171*a, 3*w + 24 = -3*a. Let j be k(w). Solve 0 = -d - 0*d - j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (1 + -2)*68\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*t - 4, -l + 130 = -2*t. Is 23 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*f = -32, 3*f - 14 = -3*p - f. Suppose -2*j + 4*w = -0*w + 8, 4*w - p = j. Suppose -b = 2*n - 6, j*b + 2*n + 2 = 3*b. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1364351, 2728699, 4093047, 5457395, 6821743?\n\"Answer: 1364348*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 104643 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -5, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 227?\nAnswer: -22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1*sqrt(120))\/sqrt(6))\/(sqrt(4) + sqrt(4) + sqrt(36)\/(sqrt(9) + sqrt(225)) + sqrt(4))*-5*-6.\nAnswer: -180*sqrt(5)\/19 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 4*t - 15, -4 = d + t - 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**2*t**3 + 46*p**2*t**2 - p**2*t - 127*p - 2*t**3 wrt t?\nAnswer: -12*p**2*t + 92*p**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((152\/(-36))\/2)\/((-189)\/(-1701)) + 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9236621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let n = -58 + 101. Let a(g) = -n + 43 - 12*g. Give a(f(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3086354?\nAnswer: 2, 29, 127, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2124)\/(-2))\/((-1)\/1 - -3). Calculate the greatest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7053 + 13939. What are the prime factors of k?\nAnswer: 2, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.419469 to three dps.\nAnswer: 7.419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 1219*s + 1445*s + 608*s - 295*s.\nAnswer: 2973*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3155 by 5.\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0727 - 0.0294. What is s rounded to 3 decimal places?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 65 = 4*a, -3*m - m = 3*a - 41. Suppose a = -5*x, 0 = 4*k - 3*x + 12 - 33. Suppose -2*s - 2*s + 3*l = -k, -2*s + 5*l + 5 = 0. Are 1 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5 + 24*t**4 - 103*t**3 + 156*t**2 - 76*t = 0?\nAnswer: 0, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 4*w - 278*w**2 + 9*w**4 + 279*w**2 - 2*w as p*w**4 + h*w**2 + n + l*w + c*w**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004862057 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-438)\/6 - (-1 + 1). Calculate the greatest common factor of 133 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -13 + -5 + 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 76908 = -9*m + 398*m. Solve -202*i + 16 = -m*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 375606*z + 375606*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*l - 18. Let p = l + 4. Solve 3 - 1 = -p*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1161780 and 88392095.\nAnswer: 1060705140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 7, -709*s - 3036986 = -5*x - 706*s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 4*p + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o - 5*o + 8*o - 2*o. Let f(c) = -2*c. Determine f(b(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 9:55 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 460301429 or 0.1?\nAnswer: 460301429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.56 - 5.4. Let n = 0.16 - s. Which is the smallest value? (a) n (b) 7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26*(1 - (1 - 2)). Let a = h - -288. Find the common denominator of 44\/55 + (-797)\/a and 59\/6.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-30))\/(24\/3380*26)\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + y + 4)*(4*y - 2*y + 0*y)*((-10*y - 4*y - 16*y)*(-1 + 3*y + 1) + 2*y**2 + 0 + 0) to the form g*y**3 + i*y**4 + k*y + x*y**2 + h and give i.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 377 by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 75148471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 28*h + 87. Let s be v(-30). Suppose -s*b = -17*b - 550. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*j + 2*j - 22, 0 = -5*f + 5*j + 10. Suppose f*l - 2*k - 166 = k, -5*k + 15 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2, 580, -15, -7 in decreasing order.\nAnswer: 580, 2, -2\/9, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q - 1142 - 609 - 8*q + 14*q.\nAnswer: -3*q - 1751","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*a = 18279 - 16613 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r**3 + 49 - 48 + 3*r**3.\nAnswer: -12*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125\/3 - 497\/12. Which is the closest to m? (a) -9 (b) 3 (c) -4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*148\/333*(-6)\/(-28)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 137 = 3*c, -5*y + 4*c - 2*c = 326. Let t = y - -70. Suppose -t*k = -548 + 74. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1902.3, -3\/8, -43.31?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/1 + -3)\/2. Let z = 4 - 2. Suppose t + z*t = d. Solve t*b - b + 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 243053*i**2*p + 6*i**2 - 8624*i with respect to p.\nAnswer: 243053*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drdrlldr. Give prob of picking 2 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**4\/6 - r. Let k(t) = -t. Let w(f) = f. Let u(c) = 4*k(c) + 3*w(c). Determine u(p(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 16) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047161 take away 2?\nAnswer: -1.952839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41.52 - -41. Let f = 0.48 - u. Is f greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -41. Suppose -4*z = -z - i. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0*k**4 + 0 - 11*k**2 + 0*k - 3\/10*k**5 - 5\/6*k**3. What is the derivative of c(p) wrt p?\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4871 or -5865?\nAnswer: -5865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1331247 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 653 = -721. Let y = k - -153. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7427631 to the power of 1\/2, to the nearest integer?\nAnswer: 2725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33202144?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -231 + 112. Is -3*(26\/(-39) - y\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 327.\nAnswer: -1, 0, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 2. Let c be (-4)\/26 + 54\/13. Give i(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3121282841.\nAnswer: 17, 59, 1153, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -h - 3*l, 2*h + 4*l = 66 + 6. What is the lowest common multiple of 348 and h?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 8:08 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 88311 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 3, i: 1}. Give prob of picking 1 i, 2 f, and 1 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 + 50*q + 9271\/4.\nAnswer: (q + 73)*(q + 127)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 163000 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 175164 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-35))\/((-4)\/(-14)). Suppose 6 = u*n - 50. Suppose -5*y = -22 - n. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k**3 - k - 1. Let j be q(-1). Let n be (-6)\/j*(-24)\/9. Suppose 0 = n*z + 1 + 3, -3*z - 262 = -4*h. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -8.5 (b) 1\/3 (c) 2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/81 + (-14)\/(-18). Let t be 0 + 24\/(c - -3). Solve y = -3*o - 0*y - 10, 3*y = t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 783 = -95*q + 96*q + w, -2*q - 4*w = -1560. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/910 and 67\/182.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141591946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 + 2254*c - 911*c - 1344*c.\nAnswer: 3*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84\/57641 or -1?\nAnswer: -84\/57641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + a - 4*a)*(-5*a - 9*a + 3*a)*(-109 + 112 - 92)*(-a + 2*a + a) in the form n + d*a**3 + c*a**2 + r*a and give d.\nAnswer: -1958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5\/7 + 20*b**4\/7 + 46*b**3\/7 - 480*b**2\/7 - 1152*b\/7.\nAnswer: -2*b*(b - 8)**2*(b + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 7:27 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 1\/3 (c) -5 (d) 13.82 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*k = 14, 5*r = 2*k - 15 + 154. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3622 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 129, 198, 251, 282, 285, 254?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*b + 374, -47*d - 386 = -44*d - b. Is d at least -136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*y - 2*k, 2*y = 2*k - 4*k + 4. Let q(w) = 29*w**2 - 25*w + 7. Is q(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**3 + 44780*t**2 - 7*t - 1789?\nAnswer: -6*t + 89560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8774.232 millimeters?\nAnswer: 8774232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**3 - 5*q**2 - 5*q + 4. Suppose 5*j + 21 + 4 = 0. Let x be (-3)\/(-5) - 4\/(-10). Let f(o) = -o**2 - 23 - o + 42 - o**3 - 18. Give j*f(n) + x*d(n).\nAnswer: n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 + 9. Let g = -42 - i. What is the smallest common multiple of 14 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 47. Suppose -5*g + 3*g - 6 = 0. What is the second biggest value in -0.5, y, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**2*d + 8505*c**2 - 1082*c*d - 16*c - 23*d wrt d.\nAnswer: c**2 - 1082*c - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 27*s + 0*s**2 + 1\/6*s**3 + 0. Let o(n) = -5*n + 1. Suppose 3*v - 3 + 10 = -4*p, 0 = 5*v - 3*p + 2. What is v*o(h) - 4*b(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10) - (-23)\/5. Suppose m*l - 40 = 4*k, 0 = l - 2*l - k - 1. Suppose 4 + 0 = l*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.18 + -0.82. Sort 4, x, -0.3.\nAnswer: x, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 21080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 6839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 17*k**2 - 29*k + 2. What are the prime factors of m(15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(76)\/(sqrt(12)\/sqrt(3)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 - 6*t. Let d be y(-4). Let f = -0.04059 - -4.04059. Let h be (-2)\/4 - 1\/(-2). Which is the closest to h? (a) f (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + 4 + -1*(sqrt(128) + sqrt(128) + (sqrt(128) - (sqrt(128) + -1)))*3*-5 + -1)*-3)**2.\nAnswer: -6236406 - 440640*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013428 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 q when four letters picked without replacement from mroqmqqq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2. Let w(k) be the third derivative of -k**7\/504 - 23*k**4\/24 + 21*k**2. Let r(v) be the second derivative of w(v). What is f(r(j))?\nAnswer: -125*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 - j**2 + 5*j**2 + (3 + 0 - 5)*(-j + j - j**2) + 0*j + 3*j**2 + 0*j + (4 - 4 + 2*j)*(2*j + 11 - 11) as n + f*j + p*j**2 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 943932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 4*p - 5. Let u be d(5). Suppose -2*h = -3*h. Solve h = -u*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17805 and 1579897.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2326849*w + 9307391. Calculate k(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2862.1 - 2987. Let d = c + 125. Let k be 1\/((-2)\/36*2). Which is smaller: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 1.8, 3\/5, -1.3, 0.2, 0.06?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*m**2 - 1979*m + 38*m**2 + 1944*m - m**3 = 0. Calculate m.\nAnswer: -7, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 624?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/3 + 13*q**4\/3 - 427*q**3 - 23801*q**2\/3 - 43712*q\/3 - 7068 = 0. What is q?\nAnswer: -31, -18, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j**(-2\/37)*j)\/j*j)\/j)\/j**(2\/57) assuming j is positive.\nAnswer: j**(1921\/2109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 54597.35cm in nanometers?\nAnswer: 545973500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b3 + a?\nAnswer: 2bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 751893 and 914725.\nAnswer: 1666618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2459217423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -189765*m**2*n**2 - 97*m**2*n - 23*m*n**2 - 47*m*n - 26*n**2 - 253 wrt m.\nAnswer: -379530*n**2 - 194*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*n**4 + 0*n + 0*n**2 + 0 - 1\/9*n**5 + 4\/9*n**3 = 0. Calculate n.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -6. Let n be 9 - ((7 - 3) + z). Let j be ((-5)\/(40\/n))\/3. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 727 (base 8) to base 7.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - q**2 + 1. Suppose -2*z - 110 = 5*p - 6*z, p = 4*z - 38. Let x(r) = -8*r**3 + 9*r**2 - 10. Suppose -4 = -3*f - 10. Calculate f*x(n) + p*m(n).\nAnswer: -2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24242142 (base 8) to base 11.\nAnswer: 3008498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 13*w**2 - 13*w - 15. Let d be n(-12). Let r be 1*(-3 + 0 - d). Let b be 15 - (r - 3\/3). Solve -4*z = b, -5 = -g + 2*z + 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94829176?\nAnswer: 2, 13, 911819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7733.\nAnswer: 11, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.118 + 11.718. What is the third biggest value in r, 1538, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 12, 89*i - 2*a = 84*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 146\/(-265) - (-16)\/40. Let n = 1958\/371 - a. Find the common denominator of n and -21\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -47*a**2 - 131*a - 1. Calculate k(-2).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.25 from -3132.\nAnswer: -3131.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 - 310. Let t = i - -193.000099. What is t rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -8. Let w = -1 - k. Differentiate w*o**2 + 0 - o**2 + 1 with respect to o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256635091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 64*z - 32. Let m be x(-31). Find the second derivative of 4*d + 4*d - 22*d**5 - m + 7*d**5 + 25 wrt d.\nAnswer: -300*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/6 + 8042*r**3\/3 - 10909513*r**2 + 3149705594*r\/3 - 153395205649\/6.\nAnswer: -(r - 7993)**2*(r - 49)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123913*n - 2880 = 123958*n for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000108407 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2. Let x be j(-1). Suppose -5*t - 1 - 15 = 2*f, -3*f = -5*t - 26. Sort t, x, 2 in decreasing order.\nAnswer: x, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - z**2 + 9*z + 4. Determine u(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15*((-1728)\/120)\/8\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000302 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkmm when four letters picked without replacement from {k: 1, j: 4, m: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 335*n**3 + 2682*n**2 - 16064*n - 96.\nAnswer: (n - 4)*(n + 12)*(335*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -214, -116235 in increasing order.\nAnswer: -116235, -214, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 n when three letters picked without replacement from {x: 2, n: 10, y: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 102*l**2 + 3*l**4 - 497*l**3 - 319*l**3 - 216*l + 927*l**3 = 0.\nAnswer: -36, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 8:25 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2\/13, -334?\nAnswer: -334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1203 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrdrrrl. Give prob of sequence lldr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9711 + 9721. What is the nearest to 2\/5 in -1\/3, -2\/21, -2\/17, o?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 - 3.7. Which is the nearest to 0? (a) -0.5 (b) 2\/9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2400 and 384?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 1548 = -283. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**3 - 12*i**2 + 391*i. Calculate k(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/40 - 1\/(-4). Let c be ((-2)\/(-6))\/((-4)\/(-3)). Let v = 71 + -67. Sort c, v, f in decreasing order.\nAnswer: v, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**2 - 8*j**2 - 3*j**4 - 3*j**4 wrt j.\nAnswer: -144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 + 1. Let i be r(1). Suppose 0 = i*h + 5*j + 66, 3*j - 4*j + 26 = -2*h. What is the tens digit of 4\/h - 605\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11 + (-156)\/(-60))*-226. Is 1897 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 905 + 887 - 1792 + 2*i**2 + 0*i**2 - 15*i**3.\nAnswer: -15*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6355396 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from eubmmmmamaummuuuum.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 2*b - 12 = 4*w, 4*b = 2*w + 12. Let s be b*(1 - 0) - -60. Let v be 16\/s - 703\/(-4). What is the highest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2783, 2779, 2775?\nAnswer: 2771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 61. Let t be 316\/(-790) + (-162)\/(-5). Let j = t + x. Which is smaller: 8\/11 or j?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4759*l**2 + 29073*l**2 + 701*l**2.\nAnswer: 25015*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 12 - (327523\/21)\/((-10)\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 764.2298l?\nAnswer: 764229.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -649, -762, -853, -910, -921, -874?\n\"Answer: 2*p**3 - p**2 - 124*p - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89359\/2 - 44666. Let -3\/8*y**2 + 9\/2*y - t = 0. What is y?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23, -15, -5, 7, 21, 37?\n\"Answer: l**2 + 5*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.8.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 29. Suppose -4*h - 72 = -4*k, -h - u = -k + h. What is the remainder when 130 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10 - (13\/(2002\/44) - 3501\/1890).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 2*a**2 - 2*a - a**2)*(-2 + 2 - 2*a).\nAnswer: -4*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**2 + 9. Let x(f) = 2*f**2 - 4. Let i(u) = -4*h(u) - 9*x(u). Let r(o) = -o**2. Calculate r(i(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 4*d**2 + 4*d - 3. Let t = -1 - 4. Let o be p(t). What is the third derivative of -q**o - 2*q**5 + 3*q**5 + 0*q**5 wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6*k**2 - 8*k - 28. Let d(s) = 4*s**2 + 5*s + 19. Suppose 4*a - y = 33 - 3, 3*a - y - 22 = 0. Determine a*d(u) + 5*f(u).\nAnswer: 2*u**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/(4\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 l, and 1 d when three letters picked without replacement from {d: 6, n: 1, l: 2, m: 4, t: 7}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + 7*o - 7. Let w be l(-5). Let h be (-4)\/w - (-27)\/6. What is the remainder when 13 is divided by (35\/h)\/(-5)*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.94, 0.3, 1 in descending order.\nAnswer: 1, 0.94, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/18)\/(33\/36)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02286 + 4.02286. Sort -2, 0.5, f, 0.05 in ascending order.\nAnswer: -2, 0.05, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 2, 1\/2, -20.8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + f**2 - f + 18. Give d(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9308 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4653 divided by -11.\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 234492770, 234492766, 234492760, 234492752, 234492742, 234492730, 234492716?\n\"Answer: -d**2 - d + 234492772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) - 24\/9. Let w(p) = p + 1. Let x be w(m). Let g = -7 + 118\/17. Is g at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -545\/612 + -15\/68. Suppose 2*o = 6, -o = 4*x + 2*o - 5. Which is smaller: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 267?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1249202 is divided by 3123.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1785815005 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000538 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 141*i**2 + 4595*i + 43263.\nAnswer: (i + 19)*(i + 23)*(i + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*o - 172. Let i = o + -20. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2.4. Let d = t + -1. What is the closest to -2 in 0.5, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7033.\nAnswer: 13, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 36 = -22*o + 26*o, -4*s = -2*o + 24. Solve -2*m = 14 - o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 - 200*m + 4. Let a(w) = w**2 - 99*w + 2. Give 5*a(q) - 2*s(q).\nAnswer: -q**2 - 95*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 34 - 2*h - 34 + 5*h. Let n(w) be the second derivative of -w**3\/6 + w. Determine n(s(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51.2 in 2, -15\/8, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73? (a) -26 (b) -0.5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2094)\/(-15))\/((-2)\/(-6 + -4)) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 k, and 1 l when four letters picked without replacement from kckmmkkcummcmmlc.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2. Let h(z) = z**3 + 3*z**2 + 2*z. Let t be h(-2). Let a(x) be the second derivative of -1\/3*x**3 + 0 + t*x**2 - x. Determine a(c(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 4.3. Sort 0.1, v, -2 in descending order.\nAnswer: 0.1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, x: 1, a: 4, b: 1, j: 2, v: 1}. What is prob of picking 2 l and 1 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 296?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -0.5 (c) 1\/4 (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40 - -cc?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628099106 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (351 + 6*f - 371 + 0*f)*(1 - 2 + 2).\nAnswer: 6*f - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -224 != -901\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 + 67*h**2 + 105*h + 3. Let l be z(35). Solve 3*f - d = 5, 3*f - 25 = -l*d + 8*d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846492.\nAnswer: 2, 3, 23, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3825.49 to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -468 + 459.8. Let o = -5.2 - x. What is the closest to 1 in o, -3\/22, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120442?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + -0.002. Round s to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 98625362?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4499.2 and -11.9.\nAnswer: 53540.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1265 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w - 50. Let y be z(8). Let f(h) = -2*h**2 - 21*h - 9. Let t be f(y). Is t smaller than -6\/397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 651*u**4 - 926*u**3 - 6270*u**2 - 41.\nAnswer: 15624*u - 5556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -7 + 13 + (-4 - -3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/3*1\/2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2175181\/4670 - -2329\/5. What is the common denominator of q and 19\/6?\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 11:16 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298993012 is divided by 65814.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**5\/60 + l**3\/3 - l**2 + 1355*l. Let y(r) = 2*r**2 - 4. Let j(d) = -d**2 + d - 14. Let x be j(0). Give x*q(a) - 6*y(a).\nAnswer: 2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + 2*y - 3*y)*(1 + 2 - 6 + 2*y)*(-1 - 1 - 3) to the form j*y**2 + d + s*y and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 17*l**3 - 2*l**2 + 1. Let d be y(1). Let t = d - 56. Let f = 37 - t. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/2)\/(13 + 120\/(-9))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 302793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2277 - -873. Is d a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3658302750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -239120.6?\nAnswer: 143472.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1300464202 to the nearest 100000.\nAnswer: -1300500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*j = 0, 4*i + j = 8 + 4. Let v(p) = -5*p + 11*p + i - 2 - 7*p. What is v(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-four fifths of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 700141081369.\nAnswer: 700141081367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 6. Let k = -29 + i. Let v = -7 - k. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 39*z**2 + 8*z + 2. What is the lowest common multiple of 16 and r(-2)?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2404524022 to the nearest one hundred thousand.\nAnswer: -2404500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -93764*f - 2344141. Give q(-25).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*4\/4*-85*38\/(-52972).\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -7 - (0 + 0) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.7 - -5. Suppose 5 = 5*g - 0. Let s(n) = 3*n**2 - 23*n - 3. Let d be s(8). What is the closest to g in d, 1\/6, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24168 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 26 = 2*u - 4*p, 5*u + 54 = -p. Let y be 477\/1113 + (-57)\/84. Which is the closest to 0? (a) u (b) 1\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -312, -3\/8, -2\/7621, -1\/27?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine fifths of a decade?\nAnswer: 1416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42, -281, -928, -2187, -4262?\n\"Answer: -34*r**3 - r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12669\/57128 - 53\/386. What is the common denominator of x and 69\/2?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g. Suppose -4*r + 2*r + 8 = -4*y, 2*r - 5*y - 7 = g. What is the remainder when 22 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 19. Let j be t(-14). Suppose 3*y - s - j = 2*s, 2*y + s = 10. Calculate the remainder when 12 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, d: 3, a: 1, o: 6}. Give prob of sequence auu.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 197028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36 - 210*h - 352*h**2 - 342*h**3 + 632*h**3 - 418*h**3.\nAnswer: -2*(h + 2)*(8*h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68884 and 18615.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -556467 <= -556854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 882004 and 882002 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 18.99858. What is y rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085089691.\nAnswer: 7, 89, 271, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 - 2*i + 4. Let q be g(3). Let p = -3 - -8. Suppose -177 = -p*h + q. Find the common denominator of h and -51\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236966909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1581534 divided by 12858\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -23155*m - 23163*m + 46317*m - 1 + 11. Let l = -19 - -28. Determine u(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -3\/5 (c) -2190 (d) 3\/8 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 5:58 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/8 and -41\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:39 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:17 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 11*m**2 - 2. Give g(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 666 + -706.1. Let h = c - -40. What is the biggest value in 4, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25 - -21)*3\/2 - (-10 - -1). Solve f - 19*z = -21*z - 5, t*z = 3*f - 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 27269, 4, 3 in decreasing order.\nAnswer: 27269, 4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*n + 795 = 0, -n = 4*a + 2*n - 1062. Suppose 0 = 264*p - a*p + 8169. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1086449, 2172834, 3259223, 4345616?\n\"Answer: 2*j**2 + 1086379*j + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 200\/56 + (-3)\/(-7). Suppose 0 = -d*k - 5 + 9. Solve -k = 4*b - 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4062939 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 27.46532?\nAnswer: -29.46532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1161*g - 368 + 3158 = 1006*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5452 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, c: 3, i: 6, h: 4, u: 2, d: 3}. What is prob of picking 1 n, 2 u, and 1 c?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -940 divided by 5.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.31, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37429627.\nAnswer: 37429627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -354, -564, -992, -1716, -2814?\nAnswer: -4364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1666.139 days?\nAnswer: 143954409600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-7) - 10\/(-35). Which is smaller: -1\/12 or y?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = u - 19. What is u rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (125\/(-15))\/(2\/(-18)). Let g = -80 + u. Let v be 4\/g + (-8)\/(-30). Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 - 36 = 2*h. What is the highest common factor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-3 - -1) + -30 + 16\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s + s**2 - 6*s**2 + 2*s**2 in the form k + v*s**2 + b*s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -261 + 267. List the prime factors of m\/((-563)\/(-283) - 2).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -3*u + 0*u**2 - 1\/3*u**3 + 0. Let i(p) = 0*p - 19*p**2 - 3*p + 3*p. Give i(q(h)).\nAnswer: -76*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -284, -687, -1434, -2639, -4416?\nAnswer: -6879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 8 + 1 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11206759?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 5*t + t)*(-3*t + 0*t + t)*(2 - 4 - 2) + 0*t**2 + t**2 + 3*t**2.\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 13 = 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.0376*-2.\nAnswer: 2.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -179 * 236.06\nAnswer: -42254.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49400?\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - 52 = -4*o, -3*o - 1 = -2*t. Suppose -11*b + t + 25 = 0. Solve -2*p = 3*l + 6, -3*p + b*l = 7*l + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -85779, -171526, -257263, -342984, -428683, -514354?\n\"Answer: i**3 - i**2 - 85751*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.2 - -15. What is the closest to m in 0.2, -2, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177463653 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 135844 divided by 158\nAnswer: 67922\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 6\/13, 27 in decreasing order.\nAnswer: 27, 6\/13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*q - 36 - 66, 0 = -3*z - 4*q + 316. Solve 0 = -26*o - o - z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30 or -1541?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11227 - -20110?\nAnswer: 6661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 11:14 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1, 4098, -3, 6 in ascending order.\nAnswer: -3, -1, 0, 1, 6, 4098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12 = -0*z. Suppose -3*t - 40 = -52. Suppose -i + t*n - 14 = i, -4*i - 4*n = -20. What is the remainder when z is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -9*u**7\/70 - u**6\/30 + 3*u**5\/10 + u**4\/12 + 256*u**2. What is the third derivative of f(k) wrt k?\nAnswer: -648*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 7, -133 in ascending order.\nAnswer: -133, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/8)\/(2\/18). Let k = -69 - x. Let l be (2 + 0)*k\/(-4). What is the greatest common factor of 42 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (-33)\/4*(-20 + 24). Let c = s + 32. Let i(t) = 2*t**2 - t + 3. Let b be i(-3). Calculate the highest common factor of c and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y**2 + 11*y**2 + 3 - 7 - 3. What is the tens digit of a(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1)**(-3\/2)*z**(-2\/5)\/z*z*(z*z**(-1\/4))\/z*(((z**(2\/15)\/z)\/z*z)\/z**(-2\/3))**(-44) assuming z is positive.\nAnswer: z**(103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = 6. Let f = d - -23. Calculate the remainder when 67 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3*c**2*v + 33*b**3*c - 2*b**2*c**3 - 7*b*c**3 + 774*c**3*v wrt v?\nAnswer: -2*b**3*c**2 + 774*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -13*l + 46 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen quarters of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 378*h**2 - 6 + 31 - 16 to i*h**2 + l + z*h and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 + 5*p**2 - p**2 - 3*p**2 - 40 to the form s*p + l + u*p**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 21. Let q = o + -1.85. What is q rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = z - 10. Let w be (3 - 3)\/(2*z\/4). Solve 0 = 5*y - 2*o + 2, 0*y + 4*y - 2*o = w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2976 - -3216. Calculate the highest common divisor of 1380 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 91 = -f + 3*l, 5*f + 5*l = 800. Suppose 4*t - 2*t = 664. Let n = t - f. What are the prime factors of n?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten sevenths of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/18 and -131\/4626.\nAnswer: 4626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 127. Let g = -28 - n. Solve 0 = 2*m - 6*m + g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (320 + 257 + 450)*(-2*w**4 - w**4 - w**4) + (0*w**2 + w**2 - 2*w**2)*(w**2 - w + w) in the form c*w + u*w**2 + b*w**4 + n + z*w**3 and give b.\nAnswer: -4109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631 = -j + 18*v, 5*j + 61*v + 12277 = 56*v + 12447 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -474551*c**6 - c**3*h**3 + 9*c**2*h**3 + 7*c**2*h - 2*c*h**3 + h**3 + 1681 wrt c.\nAnswer: -56946120*c**3 - 6*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/8, -0.0247, 5?\nAnswer: -0.0247","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 4, -126, 30, -2 in descending order.\nAnswer: 30, 4, -2, -4, -5, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 + 11 + 43)*(12*a**2 - a**3 - a**3 - 11*a**2)*(a + 2*a - 5*a) as r*a**4 + l*a**3 + i*a**2 + y*a + q and give r.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -5\/3, 0.027, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -25?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102245, -102253, -102263, -102275, -102289, -102305, -102323?\nAnswer: -102343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 + -22?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8397 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(1*sqrt(110) + sqrt(110)) - -4*sqrt(110)*1)\/(sqrt(10) + sqrt(100)\/(1*sqrt(10)) + (sqrt(80)*1 - sqrt(80))\/sqrt(8)))**2*3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 89499160.\nAnswer: -89499160.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -61*q. Let z(b) = 306*b. Let o(k) = 24*v(k) + 5*z(k). Let p(x) be the third derivative of x**5\/60 - 932*x**2. Give p(o(w)).\nAnswer: 4356*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -3. Let y = -4.93 + 0.93. Let n = -1.5 - -1. Which is the biggest value? (a) n (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 2*v**2 - 6*v + 1. Let b be n(-5). Let g = 65 + b. Suppose -4*x + g = -15. What is the least common multiple of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378 + 30 = 49*a + 286 + 52 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvlmgvllnglmmhm. What is prob of sequence nv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -138, -151, -180, -231, -310, -423, -576, -775?\n\"Answer: -h**3 - 2*h**2 - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsstttttts. Give prob of picking 2 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 24\/5558599?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 122.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, 24, 88, 188, 330, 520, 764?\n\"Answer: x**3 + 9*x**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.224.\nAnswer: -0.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 4*x + 35, -5*x + 4*r - 21 = 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (9 - 4 - 7 - 8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5604270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 611, 609, 599, 575, 531?\n\"Answer: -n**3 + 2*n**2 - n + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 43*c**4\/4 + c**3\/3 - c**2\/2 - c - 1836. Calculate o(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 + 168. Suppose -346 = 78*b - s*b. What are the prime factors of b?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 23. Give p(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-5)\/(-3))\/((-12)\/18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24611 + -24267. Calculate the greatest common factor of 43 and h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 304*k**3 - 301*k**3 - 305*k**3 + 5*k**2 + 909*k**3 - 6*k**2. Let c(b) = 2*b**3 - 7*b**2 - 6*b + 4. Determine 6*a(h) - c(h).\nAnswer: -8*h**3 + h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.4667 - -5.396. What is w rounded to three decimal places?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -51. Suppose 2*m + 6 = -2*a, 0 = z*a + 3*m + 4 + 5. Let p(x) = x + 86. Calculate the remainder when p(a) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 32*m**3 - m - 2. Let z(q) = -64*q**3 + 3*q + 5. Give 5*f(p) + 2*z(p).\nAnswer: 32*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 3715*i**2 + 753872*i + 39359708.\nAnswer: (i + 106)**2*(i + 3503)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -p. Suppose 0 = p*u - 2*u. Solve c - 3 + u = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -911*y**2 + 3953*y**2 + 17*y**2 + 3 - 3.\nAnswer: 3059*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*n - 14. Put -2\/3, n, 0.8 in ascending order.\nAnswer: n, -2\/3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + sqrt(125) + -4 + ((-2 + 1*sqrt(125) + sqrt(125))*2)**2 + 4.\nAnswer: -155*sqrt(5) + 2014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**2\/2 + 6*p + 4. Suppose 3*w + 12 = -2*o, -5*w - 10 - 14 = 2*o. What is a(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - s - 2*s)*(0 + 0 + 2) + 19027*s + 361 - 19024*s - 65.\nAnswer: 7*s + 296","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 3, 44, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 1 + 1)*(-1 - r + 1).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from lolloleleeloe?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -4)*1506289\/(-116) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 8*q**2 - 10*q - 6. Let j be h(-9). Which is the nearest to -8? (a) 2\/3 (b) -2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14347 + 5?\nAnswer: 14353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5010*f - 5012*f + 15033*f - 5007*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 8, -3*d + 4*c + 8 = -2*d. Suppose -3*b + 6*b - 51 = d. What is the remainder when b is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 8\/(-3))*(-180)\/(-24). Solve a*r + 3 = 17*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 201 and 5025.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 6*i + 15. Let s(o) = 19*o**2 + 2*o + 10*o - 41*o**2 - 14 + 11*o**2 - o**3. Let m be s(-12). Is q(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*q = -641, 33*p - 211 = 32*p + q. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.026*-4.67\nAnswer: 0.12142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 11*y + 14. Suppose -48 = -3*v - 9. Let h be j(v). Is h < -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 237 - 97. Let h = x - 209. Let t be (-2000)\/(1 + 75\/h). What is t rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 996 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1872) - ((-2*sqrt(1872))**2 + 3)) + sqrt(1872) + 1 + -4) - ((sqrt(1872) + -2*sqrt(1872) + 3)**2*-1 + 0).\nAnswer: -13107 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let t(r) = -r**2 + 4*r - 15. Let y(d) = 4*h(d) - t(d). Let p be y(6). Let i(g) = g**2 - 2*g + 3. Calculate i(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*a - 73*a + 55198 = 0. List the prime factors of a.\nAnswer: 2, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 - (78 - -9) - (-22 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 530287709 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.8861 millilitres in litres?\nAnswer: 0.0418861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 301736 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1272 and 23\/10494.\nAnswer: 41976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 5*j**2 + 6*j - 5. Let i be q(4). Find the third derivative of 2*g**2 + i*g**6 - 7*g**6 + 0*g**2 wrt g.\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3880 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 2*n - 4. Let q be w(-4). Find the common denominator of q\/(-45)*(-39 - -4) and (4\/(-28))\/((-2)\/4).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**4 - 44*b**3 - 35*b**3 + 88*b**3 + 2*b**2 + 4*b as p + a*b**3 + r*b**4 + d*b**2 + j*b and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10150 - 10150 + 5601*u + (3*u + 3*u - 4*u)*(0 - 1 + 3) + 2*u - 4*u + 0*u to i*u + a and give i.\nAnswer: 5603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 z when four letters picked without replacement from szszzzllzzszzzz?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3 and -97755138 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/9*(9 - (7056\/(-65))\/(-12)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 5\/14*p**7 - 6*p**2 - 4 - 13\/4*p**4 + 17\/10*p**6 + 7*p - 8*p**3 + 33\/20*p**5. Solve b(m) = 0 for m.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1817*m**3 + 8 + 198*m**2 - 23 - 149*m**2 + 220*m**2 + 5 wrt m?\nAnswer: 10902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2152.75, -0.1, -44, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*k. Suppose 2*m - 3*m + 8 = k. Calculate the lowest common multiple of 20 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-3)*f*f\/(f**(1\/2)\/f)*f**(2\/15)*f**(-4) assuming f is positive.\nAnswer: f**(79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -244, -408, -560, -694, -804, -884, -928, -930?\n\"Answer: n**3 - 171*n - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2837282593?\nAnswer: 13883, 204371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7150 and 0.201.\nAnswer: -1437.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68 - 23*s**2 + 21 + 38*s**2 + 20*s - 20 - 13*s**2 to the form m*s + f*s**2 + v and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -376451 divided by -46?\nAnswer: 376451\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -d + 1586, 4*d = 21*q - 23*q - 630. Let h = q + 637\/2. Factor -h*f**2 + 9\/2 + 3*f.\nAnswer: -3*(f - 3)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 12) to base 10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 6*p + 8. Let i be o(-6). Let g = -2 + i. Suppose -3*q - 45 = -g*q. Solve -w = 4*w + q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981188 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -3*n**2 + 0*n**6 + 0*n + 0*n**4 + 0*n**7 + 0 + 7\/60*n**5 + 0*n**3 + 1\/42*n**8. What is the third derivative of p(b) wrt b?\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5325\/150)\/(((-2)\/10*1)\/((-40)\/(-100)))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 - -3.88. Let g = -3 + j. Which is smaller: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.53 less than 162?\nAnswer: 165.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvvr when four letters picked without replacement from {v: 2, i: 1, r: 13, t: 3}?\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -24?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*z + 2223, -3707 = -14*z + 9*z + q. Let y = 22 + -14. Suppose x - y*x + z = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -14. Let q(c) = -2. Let z(p) be the first derivative of -p**2\/2 + 3*p - 2. Let j(n) = i*q(n) + 4*z(n). What is j(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 486\/108 - (-9)\/(-6). Let u(i) = -4*i - 16. Let s be u(-5). Solve a*l + 5 = -2*x + s*x, x = -l - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + sqrt(19)) - (sqrt(152)*-1)\/sqrt(8) - (sqrt(76)*1 - sqrt(38)\/(sqrt(72) - sqrt(2))))**2.\nAnswer: 512*sqrt(19)\/5 + 11264\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1544, 1550, 1562, 1580, 1604?\n\"Answer: 3*v**2 - 3*v + 1544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k - 14 + 53 = -6*k, -20*k - 32 = 4*u for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31, -17, -3, 11, 25?\n\"Answer: 14*p - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35088 or -274?\nAnswer: -274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5858 times 0.92?\nAnswer: -5389.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, -16 in descending order.\nAnswer: 7, 3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sos when three letters picked without replacement from oooosssossooossoosso?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1 = 5*j, 2*g - 38 = -g - 4*j. Suppose 31 = 3*w + 13. Suppose -2*q - 168 = -w*q. Calculate the highest common divisor of g and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 843.9837 tonnes?\nAnswer: 843983700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 1488809778?\nAnswer: -1488809777.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 5*o**4\/24 + o**3\/3 + 12*o**2. Let r be m(-1). Let t(i) = i**2 + 3*i - 3. Calculate t(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*y + 3*s - 3, -3*y = -3*s + 15. Let v = -2 - y. Calculate the common denominator of 15\/14 and (v + 114)*5\/220.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.2 (b) 49 (c) -0.1 (d) -4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 260*z**2 - 4*z - 1 wrt z.\nAnswer: 520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 5346.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - q**3 - 3*q**3)*((0*q**2 - 2*q**2 + 3*q**2)*(1 - 3 + 1) - 1 - 2*q**2 + 1 + 553*q**2 + 732*q**2 - 468*q**2).\nAnswer: -4884*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6821961.6620641 + 6821962. Let b = 0.3377 - a. Round b to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 7*z + 24*z**3 - 9*z + 5*z + 1022*z**3 + 285*z**3.\nAnswer: 1331*z**3 + 2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Let q(w) = -4*w**2 + 3*w + 3. Let t(g) = 7*g**2 - 6*g - 6. Let k(s) = m*t(s) + 5*q(s). Give k(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 5*c - c**3 + 3*c**3 - 2*c**3 - 4*c**3 + (0*c - 4*c + 2*c)*(c**2 - 3*c**2 + c**2))*(-c**2 - 3*c + 3*c).\nAnswer: 2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o. Suppose 15 = -3*u, d + 3*u + 6 + 12 = 0. Let w = o - d. Solve 4 - 1 = w*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143 + -70. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((sqrt(1900)*6 - sqrt(1900)) + -3 - sqrt(1900)) - (5 + (sqrt(1900) - (4 + sqrt(1900))*4)))*6)**2.\nAnswer: -438480*sqrt(19) + 30194676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 332 + -330. Suppose b*c = 5*p - 8*p + 19, 3*p - 9 = 3*c. Solve 0 = -p*l + 6*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22075.\nAnswer: 5, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlfflrff. What is prob of picking 2 r and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 30*v + 200. Let s be r(-6). Solve 4 - s = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {s: 1, x: 1, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x + 4. Suppose -132 = -x*v - 2*v. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10375\/2 < -5189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3579499 and 1595.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -2 + 3 + 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 342 and 2052.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 728 - 1680*s - 1450 + 724 in the form p*s + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 18*u + 56. Let k be m(14). Suppose k = -2*t + 3*t - 5*d - 879, -15 = -3*d. Is 57 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -49*g**3\/3 - 725*g. Let m(s) = -3*s. What is v(m(w))?\nAnswer: 294*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621.42653 take away 0.1?\nAnswer: 2621.32653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 4, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -986 (base 12) to base 6.\nAnswer: -10250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 3*r - 30. Suppose -2*h + f + 17 = 7, 5*f = 0. Suppose 3*a - h*a = -r. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 847042.4kg to milligrams.\nAnswer: 847042400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1 = 3*m - 2*a, -m - 5*a = -13. Find the third derivative of 6*n**3 + 11*n**2 - 17*n**m - 6*n**2 wrt n.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 4:07 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 4. Let r = q + 34. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 90*g - 88.\nAnswer: -2*(g + 1)*(g + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/8))**(-27)\/((z\/z**2)\/z*z*z\/z**0) assuming z is positive.\nAnswer: z**(-81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**8\/20160 + q**7\/2520 - q**5\/60 + 4*q**2. Let f(u) be the third derivative of x(u). Factor f(v).\nAnswer: -v*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 263 (base 11) to base 12\nAnswer: 21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - 468*w**3 + 463*w**3 - 2*w - w - w - w**4 to the form x + j*w**3 + v*w**2 + d*w + q*w**4 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, r: 2}. Give prob of sequence rm.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 685\/15*(0 - (-54)\/(-12)). Does m = -206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(2*a**2 - 5*a**2 + 2*a**2) + 1 + a**2 - 1 - 5*a**2 + 3*a**2 + 3*a**2 + (-42 + 42 - 10*a)*(35 + 23*a - 35).\nAnswer: -227*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1374450216?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 - -104.00000119. What is h rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 - 10\/(-3). Suppose -2*q + g*q = 12. Solve -2*m = -5*m - q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (14 - (26 - 8) - -96 - -13)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -281*n - 2. Let j(u) = 4*u. Give j(f(k)).\nAnswer: -1124*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9907 - 30985 = -3*p + m, -21084 = -3*p + 3*m. Suppose p = 5*g - 4*f, -5*f = 2*g - 0*g - 2843. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -308*-227\nAnswer: 69916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1796\/(-14368)*((-3)\/2)\/(2\/(-8)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3731, 4962, 7021, 9914, 13647, 18226, 23657?\n\"Answer: h**3 + 408*h**2 + 3322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*-2*((-42900)\/60)\/(-55).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -7 - -5) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -v + 94. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 0 + 1\/6*w**4 - 1\/20*w**5 + 1\/2*w**2 + 9*w + 1\/3*w**3. Calculate the remainder when p(-2) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -235\/7. Let w = 6.48 + 0.52. Let t = -12 + w. Put -1, m, t in decreasing order.\nAnswer: m, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 166 = 268. What is the remainder when 26 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**3 - 92*i**2 - 160*i + 3618. Determine t(31).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-2) + -15 + 19 + -6. Let v(k) = -56*k**2 - 22*k. Let b(h) = 19*h**2 + 7*h. Let i(s) = u*b(s) - 3*v(s). Let g(q) = 2*q. Calculate g(i(y)).\nAnswer: 32*y**2 + 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 o when three letters picked without replacement from kookkkk?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -9. Which is the smallest value? (a) w (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -456 divided by 152.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.467756 meters in millimeters?\nAnswer: 5467.756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c4369 (base 15) to base 16\nAnswer: -97cce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7030 (base 9) to base 11\nAnswer: -3944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 990 = -y. Is 3 a factor of 13*((-8)\/10 - y\/(-50))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111363*d**2 + 334021*d**2 - 111292*d**2 - 111361*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 73.36588 hours?\nAnswer: 264117168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(448) + sqrt(448)*3 + sqrt(448) + sqrt(448) - sqrt(448))) + 2)**2.\nAnswer: -156*sqrt(7) + 10651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 - 26 = 2*o, r = -4. Let m = -19.3 - -19. Let h = -7 + 11. Which is the closest to 1? (a) m (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**2 - 56*c + 6. Let m(o) = -o**2 - 11*o + 1. Let y(i) = 11*m(i) - 2*r(i). Let x be (-40)\/(-110) - (-736)\/(-88). What is y(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5169.2 - 47.2. Let q = x - 5124.587. Let g = 0.743 - q. What is g rounded to one dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -2\/3, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Let x be ((-8)\/((-192)\/(-342)))\/(-3) - 5. Which is the nearest to 0.2? (a) n (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u - 4*u + 0*u)*(1 - 3 + 0)*(3 + 1 - 2)*(-2*u - u - 2*u) as r + p*u + k*u**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000284 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1865559742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 25.6 + -183.678\nAnswer: -158.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 1, y: 3, k: 4, j: 1, d: 6}. What is prob of sequence jx?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 smaller than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((0 - (-1 + 0)) + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 78 = -10*w. Solve 2*l = 2 - w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxge when four letters picked without replacement from {g: 1, k: 2, e: 1, x: 2, p: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (11 - (11 + -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2750568040 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 1, r: 1}. Give prob of sequence vx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 702.911*0.13\nAnswer: 91.37843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78 - 21*l**3 - 2*l**3 + 4*l**3 - 30*l**2 + 17*l**3 - 7*l - 39*l.\nAnswer: -2*(l - 1)*(l + 3)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + (sqrt(171)*3 - sqrt(19)) - (2*sqrt(19) + -1)) + -2 + 3)**2.\nAnswer: 28*sqrt(19) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -17*l**2 + 119*l + 1. Suppose 2535 = 22*h + 2381. What is f(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwfwfwwfwfwwwwfwwww. What is prob of sequence wfww?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**2\/k)\/k**(5\/4)*(k\/(k\/k**5))\/(((k*k**0*k)\/k*k)\/k))**(47\/5))**(2\/9) assuming k is positive.\nAnswer: k**(1081\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3 + 48*t**2 + 16*t - 960 = 0. Calculate t.\nAnswer: -4, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 9002 (b) 6\/7 (c) 0.5 (d) 14 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1312 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -2*v**3\/3 + 34. Let a(z) = z**2 + 5*z**2 - 3*z**2 + 5*z**2. Calculate b(a(d)).\nAnswer: -128*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-1932))\/(116\/116*((-20)\/(-14))\/(-1))?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) 9 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 108*k - 404. What is the smallest common multiple of s(5) and 5?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9210?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 1 - 0)*4. Solve -s*u + 8*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692775 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**(-3)*y)\/y))\/y*y*y**1)\/(y*y**(-2\/5)*y)**(1\/37)*(y*y**(2\/15)*y**(-4))**28 assuming y is positive.\nAnswer: y**(-41797\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2110 + -130?\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -22*b + 15 - 8*b + 7*b + 9 + 2*b**2. Let a be g(10). Let r(d) = d**3 + 5*d**2 - 8*d - 1. Calculate r(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179031, 358102, 537207, 716346, 895519, 1074726, 1253967?\nAnswer: 1433242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/4 + 43*a**3\/4 + 603*a**2\/4 + 2873*a\/4 + 578.\nAnswer: (a + 1)*(a + 8)*(a + 17)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**2*h)**(-1\/52))**(2\/89))**4 assuming h is positive.\nAnswer: h**(-6\/1157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 40 + 224 = 0. Let g(n) = -n**3 - 30*n**2 - 28*n + 40. Let m be g(-29). What is the greatest common factor of m and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 188840\/57 + -3313. Find the common denominator of 116\/176 + (-3)\/4 and m.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/9 - 6224*z\/9 + 4842272\/9 = 0?\nAnswer: 1556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from {i: 4, e: 1, m: 1, z: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -377.\nAnswer: 113.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 267 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41924 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 4*z. What is the common denominator of -9\/11 and 2612\/120 - z\/(-5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 - 18 = -3*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by -4722633.\nAnswer: 1\/152343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11730 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2043632*m**3*t + 2*m**2*t**2 + 24*t**2 - 4345*t - 6 with respect to m.\nAnswer: 6130896*m**2*t + 4*m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366435 plus -0.2?\nAnswer: 1366434.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/37)*(j**1\/j)\/j)\/(j\/((j*((j*j\/((j**(-2\/3)\/j)\/j))\/j)\/j)\/j))**18 assuming j is positive.\nAnswer: j**(1075\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5*sqrt(3) + -1) - ((3 + (4 + sqrt(75) - sqrt(75)))**2 - sqrt(75))) + 3.\nAnswer: -52 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 1 = -z + 2, -4*m = z + 6. Let l = 2.2 + -2. Sort l, 2, z.\nAnswer: z, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2366 - 7587 = i, -4*i - r - 39784 = 0. What is the common denominator of 2\/(-7) - i\/1904 and ((-32)\/192)\/(2\/170)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -923 + 3822 - 963 - 971 - 967. Let d(t) be the third derivative of t**4\/24 + t**3\/6 + t**2. What is -6*d(z) - 3*x(z)?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10658 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 12 + 13 = 4*r, -4*x + 4 = -4*r. Which is the nearest to 231? (a) r (b) 3 (c) 0.5 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/4 + 3\/36*-82 and 19\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((j\/(j*(j*j**(1\/4))\/j*j))\/j)\/j*j)\/j)\/j**(1\/10))\/(j**(3\/10)*j**23))**(3\/17) assuming j is positive.\nAnswer: j**(-1599\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209 bigger than 8\/2167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 463971697*v**2 - 303941958*v?\nAnswer: 927943394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 v when three letters picked without replacement from {u: 1, y: 1, i: 1, e: 5, w: 3, v: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*s + 139 = 0, -2*d = d + 3*s - 372. Let v = d + -1. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllxxl. What is prob of sequence lllx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -8*p**3 + 3*p**2 - 3. Let v(b) = -7*b**3 + 4*b**2 - 4. What is 3*v(l) - 4*x(l)?\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.1, 51, 5, 0.028 in descending order.\nAnswer: 51, 5, 0.028, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2940776 and -0.5.\nAnswer: -2940776.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one quarters of a millennium?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**5\/30 - 8*o**2. Let v(s) = 3*s**2. Give r(v(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 153 = -x + 3*g, -5*g + 5 = 0. Calculate the remainder when x is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/2 + 4*f**2 + 1550*f - 21112 = 0.\nAnswer: -58, 14, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8301100 and 152.\nAnswer: 16602200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 - 4*z**5 + 3*z**5 - 15 + 15 - 16*z**5 + z**5 - z**5 + z**5 + (z**3 - z**3 - 2*z**3)*(-1 + 1 - z**2).\nAnswer: -14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.6? (a) -0.5 (b) -4 (c) 1689 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*i*v**6 + i*v**5 + 3801*i*v**2 - 2*i*v + 2*v**3 wrt v?\nAnswer: -4320*i*v**3 + 60*i*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 157, 2\/35, -1, 0.5, -2?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Let w(d) = 2*d + 2. Let i(k) = -14*k - 4. Let t(o) = -3*i(o) - 6*w(o). Calculate y(t(f)).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 185?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**5 + 2980*u**4 + 559468*u**3 + 1651692*u**2 = 0. Calculate u.\nAnswer: -371, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 8 (c) 2 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-1 - (13 + -3)). Let u = f + -2. Solve -u*k + 11 = 2*j, -5*j + 4 = -2*k - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11072 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-21) - 2\/(-6). Let t = -0.82162 + -4.17838. What is the closest to 63 in d, t, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221033113 (base 5) to base 7\nAnswer: 11056306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/8*6*1. Let z be (-3)\/21*(1 + j). Put 0.02, z, 2\/5 in decreasing order.\nAnswer: 2\/5, z, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -17*q**3 - 14*q**2 - 36*q - 1. Calculate s(-3).\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 71. What are the prime factors of b?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32026 (base 15) to base 16.\nAnswer: -26bc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 5*j = 15, 3*x + 745*j - 746*j = -5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -793, -1587, -2379, -3169?\nAnswer: -3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1 + sqrt(2448) + 2*sqrt(2448)*-1)**2 + -1*sqrt(2448)*-5*-4)*-6.\nAnswer: -14694 + 1296*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggggggggygyggggg. What is prob of sequence gyy?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 2 - 5*v**3 - 6.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 9801?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164.4 + 157.4. Put 11, -11, r in increasing order.\nAnswer: -11, r, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 98, 207, 308, 401?\n\"Answer: -4*j**2 + 121*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9559 - 9503. Let m = 158 - 104. Let o = n - m. Which is the second biggest value? (a) 1\/8 (b) 3\/2 (c) 4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14 and 3.887.\nAnswer: 0.54418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(((-6)\/(-15))\/((-1)\/5)). Suppose 2*c - 44 = -3*w + 6*c, 70 = 5*w - 5*c. Calculate the greatest common divisor of r and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*n - 0 + 20, -3*n - 5*i + 25 = 0. Let s be n - 4 - (-1 + -39). Let t be s\/123*((-35)\/10 + 3). Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0.4, 0.3, 0.0553 in descending order.\nAnswer: 10, 0.4, 0.3, 0.0553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2739940009 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*p - 49*p + p**2 + 94*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2621 + -28837\/11. What is the closest to -2\/5 in 2\/5, q, -1, -3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -53. What is the highest common factor of 36 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - 1)\/(((-132)\/376)\/11)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 4 + (9 - 4) - 0. Suppose d*u + 11*u - 345 = 0. Solve -n - 5*g = u, 0 = 3*n + 2*g - g + 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 take away 4?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1715958 and 972.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -12, -10, -4, 1 in decreasing order.\nAnswer: 1, -4, -10, -12, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 18*f**3 + 6396*f**2 + 12963*f + 6495. Let q(r) = -5*r**3 - 1598*r**2 - 3241*r - 1624. Let c(b) = -4*p(b) - 15*q(b). Factor c(z).\nAnswer: 3*(z - 540)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 47*z**2 + 103*z - 2180. Calculate b(-50).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:21 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 5*u**2 + 4. Let q be w(-4). Solve -3*p - q = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 749570 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/(2\/(-4)). What are the prime factors of (5 + 28)*(-1)\/p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 43*n**2 + 569*n + 412. Calculate u(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -155, -156, -157, -158?\n\"Answer: -m - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*s + 779 + 4824, -5*h + 9365 = 5*s. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4296220 divided by -4?\nAnswer: -1074055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = w + 3*w. Calculate the highest common factor of 27 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1192 = 8*x - 1232 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8318676 by 2.\nAnswer: 4159338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92300335.\nAnswer: 5, 569, 32443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 13 + -2 - -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 8*t**2 - 22*t - 5. Give p(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 143*m + 8649. Calculate h(-66).\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1785\/5100)\/(2\/(-12)*1*300\/400)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*k*z - 32*d**2*z - 3*d**2 + 2*d*k*z + 5*d*k + 2*k*z wrt d.\nAnswer: -4*k*z - 64*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = j + 5, -48*j = -49*j - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 13. Let u be b(5). Suppose 0 = 4*c + 3*j - 1624, -4*c + u*c + 5*j + 838 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2287*i**3 + 304*i**2?\nAnswer: -13722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28984757041.25159 - 28997102726.69158969. Let l = j - -12345695.44. Let z = l - 10. What is z rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29812 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.086573 and 0.1?\nAnswer: -0.4086573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = 21*n - 38*n + 106 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/((((g\/g**1)\/g)\/g)\/g))\/g)**(15\/8)*(g**(-10)*g)\/g*g\/g**(-1\/11) assuming g is positive.\nAnswer: g**(41\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, p: 4, k: 1, v: 2}. Give prob of picking 1 p and 1 v.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 1022?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-22)*(-5)\/(700\/16)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 6. Let q = 2 - 2.5. What is the second smallest value in q, z, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3035?\nAnswer: 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93265 is divided by 3451?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**2 + 3*d**2 - 3*d**2)*(-d + 0 + 0)*(-87 + 1710 + 2502 - 845)*(3 - 4 - 2) to m*d**3 + p*d**2 + w*d + x and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 1, l: 1, w: 1, s: 2, h: 1}. Give prob of picking 1 w and 1 s.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -68, -666, -2332, -5612, -11052, -19198, -30596, -45792?\n\"Answer: -91*t**3 + 12*t**2 + 3*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*m - 6 = -56*m. Sort 5, 4, m.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1\/3 (b) 52 (c) 3.5 (d) -379\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.12 + 0.02. Let k = d + 2. Let n = 1.77 - 0.57. What is the third biggest value in n, k, 1\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166010898*f**3 - 120069*f + 88?\nAnswer: -996065388*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + 4 + (-535)\/20 + 4 and (-4)\/(-16) + 518\/72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)\/(b*b*b**9*b*b))\/(((b*b**(2\/11))\/b)\/(b\/(b\/b**(-1\/10)*b))) assuming b is positive.\nAnswer: b**(-10777\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -0.5, -1519, -0.8, -1\/3, -2\/5?\nAnswer: -1519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 147 = 2*p, 2*o - p + 6*p + 98 = 0. Let i = -19 - o. Factor i*y**2 + 49 - 149 + 13*y**2 - 60*y - 4*y**3 - 7*y**2.\nAnswer: -4*(y - 5)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15\/17 + 107\/102. Let n(s) = -2*s. Let f be n(1). Let z = 11 + -8. Put z, f, -0.1, w in descending order.\nAnswer: z, w, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.216337 decades to centuries.\nAnswer: 0.3216337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/3 - 526*j**3\/3 + 47992*j**2\/3 - 1703480*j\/3 + 5476000 = 0. Calculate j.\nAnswer: 15, 74, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/1 - (-22 - -23). Let d(i) = -2*i**2 + 6*i + 12. Let r(a) = 8*a**2 - 23*a - 47. Let t(j) = -9*d(j) - 2*r(j). What is the units digit of t(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(50))**2*-5*-5 + 1 - ((2*(sqrt(8) - 1*sqrt(8)) + sqrt(8))\/(sqrt(640)\/sqrt(10)))**2.\nAnswer: -500*sqrt(2) + 10807\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1758 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15 - 9) + -26 - -7) + (9 - 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b**3 + 1014971*b - 1014971*b - 7*b**3.\nAnswer: 23*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i + 30. Give n(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -32. Let m = k + -36. Suppose 3*g + 3*r + 18 = 0, 2*g - 4*g = 3*r + 7. Which is smaller: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (1*sqrt(832) + -5)) + -6*4*sqrt(832) + 2*(sqrt(832) - (0 + sqrt(832)) - sqrt(832))**2 + ((sqrt(832) - 1*sqrt(832))*-1)**2 + -3.\nAnswer: -192*sqrt(13) + 1666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3 (b) 0.009 (c) 26 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -261998.\nAnswer: -261998.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3))**(-3\/25)\/(n**(1\/11)\/n*n)**(-35) assuming n is positive.\nAnswer: n**(864\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 833, 1612, 2401, 3200?\nAnswer: 4009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 1.3. Let r = 2 - 1.9. What is the nearest to n in 0, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5203221\/15 + 8\/(-20). Let m = o + -56881. What is m rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/389820 and -41\/7884?\nAnswer: 3508380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -261 + -11?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 3, j: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 - 5*o**3 + 9*o**2 + 13*o**3 - 6*o + 0*o.\nAnswer: 9*o**3 + 9*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11123 - 11049. Which is greater: h or 62?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 14 = -163. What is the remainder when a is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -10702?\nAnswer: -10701.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.94 + -1.94. Which is smaller: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753219.\nAnswer: 3, 17, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/2656 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -2\/3, -3, -0.8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/3)*p*p)\/(p\/(p*p**7))*p**(2\/17)\/p**(2\/17) assuming p is positive.\nAnswer: p**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 2117, -3, 0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y + 22*y = 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37905142*h**2 - h*z - 325501246*z with respect to h.\nAnswer: 75810284*h - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 3*b**2 - 6*b + 22. Let n be h(9). Let g = n - 88. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (2*sqrt(60) - sqrt(60))\/sqrt(12)) + sqrt(5) + sqrt(605) + 1 + 4.\nAnswer: 5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -698 divided by 2?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Let y(b) = -1 - 16*b**2 + 2*b - 3*b + 50*b**z. Is y(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93320203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 11*f**2 + 0*f**5 + 0*f + 11\/3*f**3 + 0 + 17\/210*f**7 + 0*f**6 + 0*f**4. Find the first derivative of b(z) wrt z.\nAnswer: 68*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -0.5, 39, -0.136, 4?\nAnswer: -0.136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -19. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, -25, -2\/23, -1\/7, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 8*a - 2. Let l = 1062 - 1064. Let v(d) = -4*d**2 - 25*d + 7. Calculate l*v(s) - 7*n(s).\nAnswer: s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 125106*p + 3. Let g(q) = -2*q. Determine k(g(b)).\nAnswer: 8*b**2 + 250212*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 207 + -51. Let q = r + -82. Is 37 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/133619 and -53\/6518?\nAnswer: 267238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14.841603 * 4\nAnswer: -59.366412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20625824, -41251664, -61877504?\nAnswer: -82503344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-25))\/(1\/(-5))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4736 and 14.\nAnswer: 33152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267\/16 bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -124808 or -124788?\nAnswer: -124788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 5:42 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - m + 310 = 4*t, -416 = -4*t - 2*m. Let y be 34\/7*(-5418)\/(-172). Calculate the greatest common factor of t and y.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*(-5*q + 9*q - q + (-q - 2 + 2)*(-3 + 5 + 0)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3\/2 - 26133*b**2 + 418512*b = 0. What is b?\nAnswer: -17438, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - v + 5 = -0, -20 = 3*t - 4*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46776264?\nAnswer: 2, 3, 61, 89, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (0 - (-10 + 5))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6*2*-3. Let a = u + -12. Let r(q) = 2*q**2 + 10*q + 5. Is r(a) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0*p**3 + 0 + 0*p**5 + 1\/40*p**6 + 0*p + 5\/12*p**4 - 4*p**2. Find the second derivative of d(w) wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*v**2 - 2*d**3*v + 2324*d**2 + 2873*d*v - 32*v**2 wrt d?\nAnswer: 12*d*v**2 - 12*d*v + 4648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703344 to the power of 1\/2, to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1091 is divided by 118.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -15*g**2 + 0*g**2 + 0*g**2. Let y(j) = 7*j - 6. Let n(d) = 20*d - 17. Let u(a) = -6*n(a) + 17*y(a). Calculate u(m(r)).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9, -21, -33?\n\"Answer: -12*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 970 - 969. Which is the closest to d? (a) 1 (b) -1\/4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 953 - 626. Let a = -327 + r. Find d, given that -4\/7*d**4 - 2\/7*d**5 + 0 + 0*d**2 - 2\/7*d**3 + a*d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 920, 1516, 2100, 2672?\nAnswer: 3232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {k: 5, n: 5, g: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -7*j**3 - 5. Let x(v) = -v**2. Determine x(q(a)).\nAnswer: -441*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -154, -243, -344, -457, -582?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54786 is divided by 2651.\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:04 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**2 - 3*d**2 + 2*d**2)*(-4 + 2 + 0) + 320*d**2 + 0 - 2*d - 1 - 648*d**2 to the form n + o*d + a*d**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 1. Let f(q) = 4*q**2 - 3*q + 5. Let t(u) = f(u) - 3*r(u). What is t(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01355 + 3.01355. What is the smallest value in -5, -0.5, i, 13, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 315, 1095, 2613, 5115, 8847, 14055?\nAnswer: 20985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((5 - 4) + -5 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/5*23*108\/(-108).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 y when three letters picked without replacement from yyyyemeeeem.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w. Let c(a) = a**3 + 5*a**2 - a - 3. Let k be c(-5). Let u(r) = -34 + 34 - 9*r**k. Calculate u(j(s)).\nAnswer: -81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -154*((-20)\/8)\/5. Suppose -d - 167 = -w - 4*w, -2*w - 3*d + n = 0. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (13 + 498\/(-36))*(-476)\/35.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 - z**3 + 2*z**2 - z**2 - z + 9 - z**3. What are the prime factors of a(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81.009 + -5.009. What is the biggest value in -5, 1\/7, y, -0.1, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10437313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 11. Let s be u(-5). Suppose -2*n - 2*a + 79 - 1 = 0, 0 = 3*a - s. Let v = 55 - n. What is the highest common divisor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38573305*b**3 - 7*b**2 - 1461367691 with respect to b.\nAnswer: 115719915*b**2 - 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/4)\/(1\/8). Let w(c) = 2*c + 3. Let t be w(o). Solve 0*k + t = -5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123879500.\nAnswer: 2, 5, 247759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 13*q - 16. Let x = 113 - 127. Calculate l(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11253215 (base 6) in base 15?\nAnswer: 6d7a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 3*k**2. Let p be n(2). Let w = p + 1. Suppose w*z + 5 - 10 = 0, z - 16 = -5*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 4*j**2 + 2*j - 4. Suppose -4*q = -20 + 4. Give d(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 486 and 1998.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (796\/(-48) + 0). Let l = w + -55\/3. Which is the nearest to l? (a) 0.4 (b) -0.3 (c) 3\/5 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 + 77. Suppose 4*n + 18 = s*n. Solve -n*z = -7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 0*r**2 - 13\/3*r**3 + 3*r - 5. What is the first derivative of f(s) wrt s?\nAnswer: -26*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6 = -2*r. Suppose 4*z - 4 = -3*t + 1, 3*z + 3*t = r. Let n(v) = 10*v**2 - 68 + 69 - v**2. Give n(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.09381 + 0.21981. Let x = t - -0.174. Let y = -25 - x. What is y rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**6\/90 + n**5\/20 - n**4\/36 - n**3\/6 + n**2\/3 - 11*n + 2. Let o(m) = 0. What is m?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(117)*-1.\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3)\/(m\/m**2))**(-5\/11) assuming m is positive.\nAnswer: m**(-5\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**1*x)\/x*x\/(x*x*x\/(x\/x**3)*x))\/((x*x\/x**(-3))\/((x**8\/x)\/x)) assuming x is positive.\nAnswer: x**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-141)*(-6)\/4. Let c(p) = p**3 - 15*p**2 - 90*p + 953. Let f be c(17). Is l less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 - 105. Suppose 6*i + 4 + t - 31 - 5*i**2 + 14*i = 0. What is i?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -730 + 760. What is the common denominator of (83\/q)\/(736\/460) and 1\/14?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**6\/120 + k**4\/24 + 4*k**3\/3 + 421*k**2. Suppose -4*v = -0*v. What is the units digit of p(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(((-48)\/54)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 15*g**2 + 9. Let x(a) = -7*a**2 - 4. Let r(u) = 2*w(u) + 5*x(u). Let j(q) = q**2. Calculate 4*j(b) + r(b).\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 17*h**3 + 1. Let x(d) = d - 5. Let f be x(6). List the prime factors of j(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**5\/15 + 8*g**3\/3 - 5*g**2. Let k(z) = 0. Calculate z.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.3 and 7.8.\nAnswer: 17.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1442857008 to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099?\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -3, -1, -4, 1.\nAnswer: -4, -3, -1, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 278, 280, 282, 284?\n\"Answer: 2*k + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5103265698 to the nearest integer?\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/990856 and -5\/29?\nAnswer: 28734824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 12*k - r = -38093, 12697 = 2*k + r. What are the prime factors of k?\nAnswer: 7, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-236)\/30)\/(16307\/244605)\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25317121, 25317122, 25317123, 25317124, 25317125?\nAnswer: 25317126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, h: 1}. What is prob of sequence hqq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d. Let m be g(1). Let k(o) = 2*o**2 - o + 1. Calculate the smallest common multiple of k(m) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z + z - 2 + 0. Let c(o) = o + 2. Suppose 5 = -4*f - 3*g - 0, -17 = -2*f + 5*g. Suppose 9 = -2*s + f. What is s*c(y) - 3*w(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, -64, -306, -780, -1564, -2736, -4374, -6556?\nAnswer: -9360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -65829\/2 and -32916 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - y - 6. Let j be i(0). Let b be (-4)\/j + (-56)\/3. Calculate the common denominator of 39\/8 and (-135)\/b*(-28)\/138.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and -3*(-4)\/(60\/55).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + -1518621?\nAnswer: -1518642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -739*c - 43888. Calculate j(-58).\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -255*b**2 - 427*b + 6. Let y(s) = -768*s**2 - 1280*s + 16. Let d(c) = 8*j(c) - 3*y(c). Find the second derivative of d(z) wrt z.\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 63 = -65. Sort o, -3, 2, 5.\nAnswer: -3, o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + b. Let c be x(-5). Let r be c\/8*(15 + -7). Suppose 0*d + d = 2*g - r, -g + 3*d + 40 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 - 81. Let m be (1 + t\/(-4))*24. Suppose 0 = -m*a + 13*a + 115. Calculate the remainder when a is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*m + 61*m + 3 = 5*v, -2*m = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 89*p**3 - p - 2. Let o(y) = y + 1. Let w(r) = -i(r) - 3*o(r). Let l be w(-1). What is l rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 329 + 133. Suppose 0 = -29*m + 32*m - n. List the prime factors of m.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -14, 4.\nAnswer: -14, -4, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*t**2\/7 - 3681*t\/7 - 270\/7 = 0 for t.\nAnswer: -3\/41, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 3. Which is the smallest value? (a) -2\/13 (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*s**5*x - 3*s**5 - s**3*x + s**2 + 45*s*x wrt s?\nAnswer: 420*s**2*x - 180*s**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 237b (base 16) to base 2\nAnswer: 10001101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (7 + -20)) + (-1 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viri when four letters picked without replacement from vrrvrvirrrivrvv.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-5) + 9)\/(3\/15). Let z be 4\/(-5)*(2 - r\/8). Factor -5\/6*w**3 - 5\/6*w**4 + 0*w**z + 0*w + 0.\nAnswer: -5*w**3*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/10*(-165)\/594.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 369, 577, 817, 1101, 1441?\nAnswer: 1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 5\/3 (c) 0.9 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(352\/50)*((-160)\/50)\/8.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282770?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44.6? (a) 6 (b) 2\/11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -156*b**2. Let s(x) = -60965*x**2. Determine o(s(q)).\nAnswer: -579810071100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 246709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1936 and 73\/12?\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/9)\/((-1)\/(-3)). Let h = 0 + 0.7. Let j = h + -1.2. Which is the biggest value? (a) -4 (b) f (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 11, y: 8, g: 1}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 x when three letters picked without replacement from {x: 2, i: 2, r: 8}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1 = -5*o + 12, -3*o = -3*s - 3. Suppose y - 6 = o*l, 18*y - 16*y - l = 3. Which is the closest to y? (a) 13 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 124?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**2. Let a(x) = -402*x + 60. Let n(y) = 404*y - 48. Let c(s) = 4*a(s) + 5*n(s). Give m(c(k)).\nAnswer: 848720*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16136482799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(5 - 4 - 2) + (8 - 21 + 6)*(2 - 1 + 0))*(-6*g + g + g)*(-3*g**2 + 2*g**2 - g**2).\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = j + 86 + 10, 5*m + 3*j + 241 = 0. Let v = m - -47. Solve -3*c = h - 11, 2*h + 3 + 5 = v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -167 + 167.154. Let g = -10.254 + r. Let h = g - -25.1. Which is the fourth biggest value? (a) 0 (b) h (c) -3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288103906?\nAnswer: 2, 5813, 24781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*n + 2, 5*s - 8 = -4*n - 7. Let k(r) = 12*r. Calculate k(s).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4 - -7) + 0)*2 + -4. Let l = 7 - s. Suppose 0 = -2*h - 2*i - 7 + 105, -2*i = -l*h + 224. Calculate the remainder when h is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -24. Let v(c) = c**2 - 3 + c + 3*c**2 + c**3 + w - 3. What are the prime factors of v(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -534?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 8*q = 4. What are the prime factors of 134*q*(-16)\/(-32)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 6 - 0. Suppose -37 = h*w - 1. Find the common denominator of -43\/6 and ((-206)\/w)\/(4\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/35*(-14)\/4. Suppose 2*m - 14 = -2*i, m - i = t*i - 13. Solve 4*p - m - 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200668 and 5487498?\nAnswer: 142674948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 85353.13 meters?\nAnswer: 85.35313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 56555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1242a (base 16) to base 12\nAnswer: -3734a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 1. Suppose -6*u = -u + 5*c - 40, -2*c + 22 = 3*u. Let v be (9\/u)\/(y\/(-8)). Solve 3*r + 11 = -v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 5. Let x = -0.00572 - 0.09428. What is the nearest to x in 4, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*g - 333 - 24*g + 16*g + 184 + 171 as p*g + m and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(2560\/(-48)))\/(78\/4)*10.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 0, -592248, 5.\nAnswer: -592248, -25, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -785 times 258\nAnswer: -202530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 293 - 865\/3. What is the common denominator of (-2)\/(18\/(-75)) + (-1 - -2) and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(3*k - 4*k - k) + 2*k - 5*k + 2*k + 2*k + 0*k + 0*k)*(-1152*k - 292 - 291 + 583).\nAnswer: -5760*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -188.2 - -220360\nAnswer: 220171.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.3 in -0.1, -1.3, 1\/2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-41)\/82 + 5\/162 and 131\/96.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24, 38, 58, 84, 116, 154, 198?\n\"Answer: 3*t**2 + 5*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318237090 divided by 1?\nAnswer: 318237090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjxjjxjjjjj?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -386, -392, -402, -416, -434?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + k = -0*k + 72, 4*k = 8. Suppose -7*s - 5*s = 3*s. Let v(n) = n**3 + n**2 - n - 2. Let c be v(2). Solve -c = t + 5*y - w, s = 4*y - 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.229 plus -5?\nAnswer: -3.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-1 - -6 - 4) - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 885*r - 1000*r + 932*r + 599*r - 49560 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-2 - (-6 - 4)) - -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-8)))**(-21) assuming s is positive.\nAnswer: s**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u - 7. Let g(h) = -5*h + 6. Let l(y) = -3*g(y) - 4*z(y). Let p be l(5). Let -r**p + r**3 + r**5 - r**5 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7 and 0.0075918.\nAnswer: 0.7075918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45102655 and 1960985.\nAnswer: 45102655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 21 = 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -51656 to the nearest one hundred.\nAnswer: -51700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvtdddrrrtvd. What is prob of picking 1 d and 1 v?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-5 - -49)\/(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qppqqqppqqq. What is prob of picking 3 q?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 - 1 = -2*b, -4*k + 4 = 2*b. Suppose k = 2*y - 0 - 6. Suppose -3*j = y*w + j - 74, -3*j = -6. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 1. Suppose 0 = -5*g + 5. Let l be m(g). Let r = 1 - l. Sort r, 3, -4.\nAnswer: -4, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.4. Which is the biggest value? (a) w (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 574*i + 11491. What is j(-20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 100 = 108. Solve 5 = -4*a + 3*a + z, -x*a = 4*z - 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 260\/129 - (64\/8 - 6). Let i be (1\/2)\/(13\/26). Is u equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*((0 - 1 + 2)*(-4 + 4 - 2) - 3 - 2 + 4 + 3 - 4 + 2)*(1 + 1 + 0)*(-132*z + 13*z - 85*z).\nAnswer: 816*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319674164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3825739ms?\nAnswer: 382573.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 0*g**3 + 0*g**6 - 1\/6*g**4 + 0 + 0*g**5 + 1\/210*g**7 + 0*g + g**2. What is the second derivative of u(i) wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*s - 3*j + 2, 10*s + 3*j - 17 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + f**2 + 4*f + 17. Is g(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -780 divided by -6?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**5*s*s*s)**30 assuming s is positive.\nAnswer: s**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8)\/(t\/t**(-9)*t)*(t**(-9)*t)\/t**(-2\/47))**33)**(-4\/17) assuming t is positive.\nAnswer: t**(167244\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9031*x - 4518*x - x**2 - 4515*x + 7*x**2.\nAnswer: 6*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134182 is divided by 338?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -155439 divided by 171?\nAnswer: -909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 0 + 0*y**5 - 2\/3*y**3 + 1\/3*y**4 + 34*y - 1\/5*y**6 - 11\/2*y**2. Find the second derivative of f(w) wrt w.\nAnswer: -72*w**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1918*h**2 - h - 3. Let t be g(-2). Let f = t - -138019\/18. What is the common denominator of f and 87\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6832 is divided by 217?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1990, 1989, 1988, 1987, 1986?\n\"Answer: -j + 1991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -567 divided by -24.\nAnswer: 189\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 - 327*x\/2 - 504.\nAnswer: 3*(x - 112)*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16435511 + 475.\nAnswer: 16435986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a milligram in micrograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563*i + 562170 - 570052 = 0 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 3*j**2 - j - 4. Let n be w(3). Let f = 0 - n. Suppose -i + 17 = f. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in 1.91, -0.4, 4\/9, 2, 464?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttb when three letters picked without replacement from bbbbbbttb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 51\/136 + 45\/10*(-35)\/(-60). Solve c - n = -9 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f - 50 = 2*q, 3*f + q - 35 = 0. What is the remainder when 23 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.032? (a) 0.1 (b) 2 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*z + 53*z = 15. Let o(l) = 9*l + 18. What is the units digit of o(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 1. What is g(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 1 - g + 8*g**3 - 12*g**3. Let p be t(-1). Suppose 8 = p*v - 2*z + z, -3*v - 9 = 3*z. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -57974699 + 57974699 + 2037*q. Let t(m) = -m**2. Determine t(x(g)).\nAnswer: -4149369*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1158, -10057, -24846, -45525, -72094, -104553?\nAnswer: -142902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.1 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 52*h - 219. Calculate n(-35).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25573653*c + 40001779 wrt c?\nAnswer: 25573653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -5\/7, -2\/787, -4\/7, 0.18, 2\/9, -3?\nAnswer: -2\/787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -287583 by 25.\nAnswer: -287583\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 10*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) -1\/3 (c) 1332 (d) -2\/7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2966603 divided by 19?\nAnswer: -156137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/242289 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 36. Let m be u(0). Does 12 divide (50\/6)\/5*m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2)*(-241 + 241 - 2*b**3)*(2*b**2 - 2*b**2 + 3*b**2).\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - 0. Suppose -4*p + 0*p = -5*l - 21, -p = 2*l - 2. What is the closest to -0.2 in -4, r, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4414 + -4415. Sort -5, 19, v in decreasing order.\nAnswer: 19, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/420 + (-224)\/210.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -140. Suppose p + 5*y = -0*p + w, -4*y + 152 = 2*p. Suppose h = -h + p. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1120 and 820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4588 is divided by 1109.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*v**2 - 98*v**2 - 5*v**3 - 78*v**2 in the form a*v**2 + i*v**3 + g + x*v and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/110*(-32460)\/(-3246).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - l + 1. Let w(q) = -3*q**3 + 10*q**2 - 46. Let c(d) = w(d) + 4*y(d). Let z be c(-10). Put 6, z, 0 in increasing order.\nAnswer: z, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 10455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f. Let k(i) = 26*i**2 + 281*i + 2. Determine k(v(l)).\nAnswer: 104*l**2 - 562*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*s = -66*s - 20, 4*b + 5*s + 21 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = 98*f - 103*f - 2*k, 2*f - 14*k + 92 = 16 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 40. Let d = a + -4. Suppose 27 = 4*o + 3*p, o = 2*o + 5*p - 28. Solve -o*c + u + 11 = 0, 2*c + u = d + 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 2*i - i. Let k(a) = a. Let y(r) = 5*r. Let n = -33 + 31. Let f(s) = n*k(s) + y(s). Determine f(c(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, e: 2, n: 4, f: 4, q: 1, i: 1}. What is prob of picking 1 s, 1 f, and 1 i?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -77 + 742115?\nAnswer: 742049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 40\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3698.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (7 + -10 - (-10 + 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.7685 rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*d = -21, -4*d + 66 = 6*t - 4*t. Suppose 4*m - v - t = 0, -5*m - v - 4*v + 40 = 0. What is the third derivative of m - 7 + 2*o**4 + 2*o**2 wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - (6*(sqrt(110) - -1*sqrt(110)) + sqrt(110))) + sqrt(110) + sqrt(110))\/sqrt(10) + (sqrt(44)\/sqrt(36) - 1*sqrt(99)))**2.\nAnswer: 15884\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 8 = -2*j, j + 2*l + 2*l = 9. Solve 4*a - j = -17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9604957504 take away 0.02?\nAnswer: 9604957503.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 0. Let u(v) = -v + 4 - v**3 + 2*v**2 + 0*v**2 - 3*v**2. What is the remainder when f is divided by u(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 7*y - 16, 4*o = 3*y - 12. Factor -1\/4*t - 1\/4*t**2 + o.\nAnswer: -t*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3687807, -7375600, -11063393, -14751186, -18438979?\nAnswer: -22126772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -18759 > -14521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/375111 and 119\/4210?\nAnswer: 3751110","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Factor -96 + 4*l - 4*l**2 - 4*l**3 + 4*l**4 + 96.\nAnswer: 4*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1705.3 - 1778. Let a = 111.8 + p. Let y = a + -39. What is the third smallest value in 5\/2, y, 0?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 70.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1940 + -9703\/5. What is the third biggest value in i, -1\/4, 222?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61\/3 of a year?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 - 3452*p**3 + 746492*p**2 - 743044*p.\nAnswer: 4*p*(p - 431)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36*(-54)\/3888*-26?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i**20\/i)\/i)\/i)\/(i*i**(7\/3)) assuming i is positive.\nAnswer: i**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + ((sqrt(325)*2*-6)**2 - (sqrt(325) + sqrt(325) + -1 + -1)**2) + -4 + -5.\nAnswer: 40*sqrt(13) + 45495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 - 125. Suppose -7*r + y = 68. Let q(x) = x**2 + 6*x - 3. Give q(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7597)\/(-22)*15\/(-1). Let a = b + 5175. Calculate the common denominator of a and 297\/12*(-6)\/(-45).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 429*v - 2968. What is r(7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2820*b**3*r**2 - 2*b**3*r + 7*b**3 + 3*b**2 - 3219*b*r**2 wrt b.\nAnswer: -16920*r**2 - 12*r + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 495*m**2 - 9030*m - 6616. Calculate h(476).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11939, 11941, 11943, 11945, 11947, 11949?\nAnswer: 11951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -32.75. Which is the third biggest value? (a) o (b) -0.1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12217220*k**3 - 45384470*k**2.\nAnswer: 73303320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 7*m - 4. Let w be q(-8). Suppose g - w = 2. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 42 + 6 = 0. Find the second derivative of -35*d**g + 5*d + 4*d - 7*d - 4*d wrt d.\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/4))**22*(t*t\/t**(-4))\/t**7)**(-29))**(-27) assuming t is positive.\nAnswer: t**(7047\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0076697 rounded to 4 dps?\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 12.0705544?\nAnswer: 24.1411088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 8 + 2 = -1580*u + 1575*u, -7*y - 17*u = -21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/16)\/(3 + -4). Suppose 42 = 5*g + t + 49, 0 = g + 4*t + 9. Which is bigger: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.5433 to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 9 + 6*x**2 - 4*x + 6*x + 5*x + 2*x**3 + 8*x - 17*x**2. What is the tens digit of o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 40, 50, 60, 70?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50470 divided by 515?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k = 39. Let o(a) = a**2 - 14*a + 16. Let t be o(k). Factor 1\/5*x**t + 1\/5 - 1\/5*x - 1\/5*x**2.\nAnswer: (x - 1)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(343) + 5))**2 - (-5*(0 + sqrt(343)))**2.\nAnswer: -5263 + 630*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 2:35 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 999713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/11 + 1148*k\/11 - 164738\/11 = 0 for k.\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, j: 3}. What is prob of sequence juu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -315*v**3 - 5*v**2 + 8*v**2 + 317*v**3 + 7*v**2 to g*v**2 + i*v**3 + n*v + a and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4302*r - 61. List the prime factors of p(-7).\nAnswer: 41, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60324 and 264.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*l - 7. Let a be (7 + l)\/(2\/5). Solve 0 = -2*u + 2*m - 4, -10 + 0 = -a*u - 5*m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39323 * 3509\nAnswer: -137984407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -1)\/(1 + 8) + (-16)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -231102 + -2020?\nAnswer: -233122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/241836 and 5\/523978.\nAnswer: 3143868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) + (sqrt(121) + 2*sqrt(121) - sqrt(121) - sqrt(121)) - sqrt(121)) + sqrt(121))*-4 + sqrt(121) + sqrt(121))\/(-2*sqrt(176) + sqrt(176)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 29, 39, 2 in ascending order.\nAnswer: 0, 1, 2, 29, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*p - 115*p = g + 7, -5*g - 4*p - 35 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -25. Suppose -10 = n*u, 4*u - 170 = -t + 2*u. Let i = t + -112. Calculate the greatest common divisor of 93 and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-28))\/((3\/(-10))\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from {a: 3, t: 5, q: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 175, 676, 1503, 2650, 4111, 5880?\n\"Answer: -m**3 + 169*m**2 + m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1558)\/(-20)*344\/(-3268)\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*21.3.\nAnswer: 10.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 251189 and 717?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-3))**(-1\/14))**(1\/55))**50 assuming f is positive.\nAnswer: f**(15\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + u**2 - 4*u**2)*(0 + 0 - 2*u) + 28 + 24*u**3 - 54 - 30.\nAnswer: 26*u**3 - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 44\/33 - 6\/(-9). Find the third derivative of -n*t**2 - 2*t + 65*t**3 + 75*t**3 + 2*t + 265*t**2 wrt t.\nAnswer: 840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*r - 56, -r = 5*y + 3 - 58. Let p be ((-8)\/6)\/(2\/(-36)). Calculate the greatest common factor of y and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.88\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 2\/5 (c) -1\/2 (d) 5\/29 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b. Let a(f) = 6*f + 2. Let d be a(-4). Let g(p) = p + 12. Let q be g(-10). Let h be (q - 1)*(5 + -1). Let w(v) = 16*v. Calculate d*o(x) + h*w(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52309 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -55, -41, -27, -13, 1?\n\"Answer: 14*g - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ab9e1 + 3?\nAnswer: ab9e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -2*g - p, 2*p = g - 13. Let i(w) = 3*w**2 - 17*w + 57. Is 12 a factor of i(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v**2 - 2*v + 1. Let d(c) = c**3 - 74*c**2 + 24*c - 42. Let w(f) = -d(f) - 8*x(f). Determine w(10).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0957464 to 4 decimal places.\nAnswer: 0.0957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c = -20. Suppose 0 = -3*a + 3*b, c + 10 = 3*a + 4*b. Suppose -a = -2*d, 5*t = 3*d + 103 - 16. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 9. Determine s(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -98, -5959, 1, 4, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose -3*x = -s + 19, -s - 3*x + 4*x + 9 = 0. Suppose z = -s*z + f, -2*z = -4*f. Which is the nearest to z? (a) 0.1 (b) v (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/4)\/((-25)\/(-50)). Let u(x) = x**3 - 6*x**2 + 6*x + 1. Calculate u(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37689 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 6*b + 0*b - 7*b + 12*b.\nAnswer: -b + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -19. Let s = h + -2. What is the remainder when 4 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 76 - 444*a**2 - 418*a**2 + 864*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from ccccxchhph.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44394, 44412, 44430, 44448?\nAnswer: 44466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4859259 + -13692.\nAnswer: -13694.4859259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 + 1216\/40)\/(8\/10). Which is greater: o or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u - 4*t = -12, -t + 23 = 5*u. Calculate the common denominator of -59\/10 and 218\/(-36) + (-5)\/u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 17. Let a(n) = n**3 + 4*n**2. Suppose -3*v - 5*m = 22, 3*m + 7 = -2*v - 7. Let z be a(v). Is l(z) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -0*j - 4*j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2) - (-36)\/8. Suppose 3*q + 2 = w*q. Suppose q*f = 3 + 3. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3286, 6565, 9840, 13111, 16378?\nAnswer: 19641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-30))\/(20\/(-25))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t**3 - 42*t**2 + 4*t - 115. Let z(a) = 7*a**3 - 28*a**2 + 3*a - 74. Let o(m) = 5*f(m) - 8*z(m). Determine o(14).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3803\/1624 + 450\/203. What is the nearest to 2 in 1\/3, 1.9, -1\/4, z?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - -112672?\nAnswer: 112671.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.5434*-1.4.\nAnswer: 14.76076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, m: 1, t: 1, s: 2, z: 2}. Give prob of sequence gzg.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 6573*y + 13158.\nAnswer: -3*(y - 2)*(y + 2193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Let x(j) = 57*j**2 + 9250. Determine p(x(c)).\nAnswer: -57*c**2 - 9250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 3 - -4) + -13. Let r(h) = 3*h**2 - 2*h + 2. Let x(z) = -16*z**2 + 11*z - 11. Calculate v*r(p) - 2*x(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-3))\/(60\/4 - (35\/(-6) - -18))\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j - 2. Suppose 6 + 6 = -4*a. Let o(b) = b. Let r = 5 + -6. Let w(u) = a*o(u) + r*k(u). What is the first derivative of w(y) wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -755 + 6219.\nAnswer: 5464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 2*t**2 + t**2 - 740 + 743 - 5*t**2 + 5*t. What is u(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*d + 15 = 53*d. Factor -1\/4*t**4 - 1\/4*t + 1\/4*t**d + 1\/4*t**2 + 0.\nAnswer: -t*(t - 1)**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 52298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 9*g - 9. Let p be d(7). Let r be ((-6)\/p)\/((-4)\/(-10)). Is 0 - (-7 - r - 3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 109*x - 1284. Give p(21).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - k**2 + 7*k + 9. Calculate the least common multiple of 11 and v(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 433*f - 359*f - 444. Solve z - 2*u + 1 = 0, 7*u - 10*u - f = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487 + 135 = 2*g. What is the common denominator of 298\/g + (-10)\/55 and -89\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z + 50. Let t be h(13). Let p be 2\/t - 186\/(-45) - -2. Is p < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 51. Let p(y) = 2*y**3 - y**2 - 3*y + 2. Let s be p(2). Let t = s - 4. Solve 0 = k*w - 0*w + t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from {d: 4, p: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/23, -5, 2\/17, 11, 2\/9887?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 338, 325, 312, 299, 286, 273?\n\"Answer: -13*d + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2132 (base 7) to base 11\nAnswer: 62a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3092 + 3101. Solve -1 = 2*x + 2*u - l, 0 = 5*x + 3*u - 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-8 - -4 - -5). Does 28 divide (o + -4)*615\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**6\/48 - f**5\/40 + f**4\/32 + f**3\/24 + 10. Factor z(y).\nAnswer: -y**2*(y - 1)*(y + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuugguxxggu. What is prob of picking 1 u and 1 g?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47*u**2\/6 - 5*u.\nAnswer: -u*(47*u + 30)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 120412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k**2 - 1458*k + 4257. Determine b(-246).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -4, -2, -59, 2 in descending order.\nAnswer: 15, 2, -2, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from ffftdffkfgdgqtd?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1 = -41. Let w = 33 + t. Let v = w + -30. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(-3*b + 5*b + 0*b) + 2*b - b - 3*b - 3*b - 2*b + 4*b + b - 3*b + 0*b + 5 - 5 + 2*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -20 + 0 + (16 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/3 + 3760*v\/3 - 1767200\/3 = 0. Calculate v.\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**3 - p**2. Let o be u(1). Let f = o + 12. What is the first derivative of -f*l**4 + 4 - l**3 + l**3 wrt l?\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 631 = -5*q + 751, 3*r = -4*q + 75 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuuu when four letters picked without replacement from tuttuuuuuuu.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 1636*a**2 - 8242*a + 9876.\nAnswer: 2*(a - 823)*(a - 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -8032, -2\/19, 60.46?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28, -86, -270, -518, -824?\n\"Answer: g**3 - 41*g**2 + 2*g + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610667 is divided by 1101?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13203243 (base 6) to base 15.\nAnswer: -893a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -2400\/2663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/7 - 192*s\/7 + 4608\/7 = 0 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4712 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -6. Let x(z) be the second derivative of -1\/12*z**4 + 1\/30*z**g + 0*z**3 + 0 + 0*z**5 + 0*z**2 - z. What is the third derivative of x(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjvjjjjvyvjjyyjyv. Give prob of sequence vjj.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301113 (base 4) to base 15.\nAnswer: -e09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 59*w**2 + 117*w - 130. Give o(57).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 0 - 3 - 3*t + 0*t. Let j be n(3). Is ((-47)\/(-4))\/((-3)\/j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26056 + 16211 = -579*y for y.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**3 + 52*d**2 + 241*d + 158. What is g(-5)?\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - 2*r**2 + r**2 + (-r + 2 - 2)*(-4 + r + 4) - 3*r**2 + 2*r**2 + 2*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x. Let l(w) = 2*w - 6. Let b be l(4). Let m(y) = -y + 4*y**b + y. Calculate m(g(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -1 (c) -2 (d) 1\/719 (e) 5 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1008 and 504?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnxnxnnx. Give prob of picking 1 n and 1 x.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26620 + -14524. Is 108 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -1\/3*l**4 + 7\/6*l**3 - 3\/20*l**5 + 13*l - 7\/2*l**2 + 0. Let m(q) = 2*q**3 + 3*q**2 - 5*q + 5. What is -5*k(z) - 7*m(z)?\nAnswer: z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Let r = -3.3 + o. Let g = 5 - 10. Which is the biggest value? (a) 4 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1188245235?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 26. Suppose 34*k + 4*c = 32*k + 18, -2*c - 6 = -4*k. Solve k*y = 6, 17 - 3 = -o*m - 3*y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2712 = 243. Let q = 3714 - p. Is (q\/(-3))\/(1 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 14*s + 6. Let p be x(15). Let l(m) = -m**3 - 10*m**2 - 8*m + 9. Let f be l(p). Solve 0 = 2*w - f*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/5, -11, 0.1, 1, 129 in decreasing order.\nAnswer: 129, 2, 1, 2\/5, 0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.03 = -382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-320))\/((-4)\/(-50))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.2 in 19.1, -2\/5, -0.09, 659?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 5*n. Suppose -f = -n*f - 1654000. Suppose f = -4*l - 706000. Round l to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-0.0184\nAnswer: -5.0184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.9 and -3518921072.55?\nAnswer: 3518921069.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -7) + 218 - 9. What is the highest common divisor of v and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 30 = 2*x, -2*x = 4*f - 16 + 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = -0*c. Suppose -2*b = 4*p + 16, -5*p + 5*b + 4 = -c*p. Is ((-260)\/(-8) + p)*10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2077\/119 + -123\/7. Let d = -6 - -5.87. Which is the closest to d? (a) 2 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) 5 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2\/3 + 16974550*z\/3 + 72033836925625\/3 = 0?\nAnswer: -8487275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1749*u + 1356*u = 500*u + 158905 for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-359)\/6 - (-492750)\/(-40500).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 2)*3\/(-6). Let j(z) = 10*z + 42. Let f be j(-4). Solve m = -i + f*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8901829l to millilitres.\nAnswer: 890.1829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1\/((((c*c**(-6\/11))\/c)\/c)\/c*c)*c**0\/(c\/c**1) assuming c is positive.\nAnswer: c**(28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 1. Let h = 0.37 + 0.03. Suppose -l - 4 = 0, -3*l - 4 - 7 = -w. What is the nearest to f in w, h, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8123452.00081 + 8123542. Let c = w + -90. What is c rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1320 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/8 and -145\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/12821, 3\/5, 2\/13?\nAnswer: -2\/12821","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**3\/6 + 431*a**2\/2 - 42*a + 3. Let x(m) = 2*m**2. Calculate d(x(i)).\nAnswer: -2*i**2 + 431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 152*w + 320.\nAnswer: -4*(w - 2)*(w + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5750.415mm?\nAnswer: 5.750415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 170996950.1 to the nearest one hundred thousand.\nAnswer: 171000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.0187036ns?\nAnswer: 0.000000000000023364625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(72)))**2 - (-4 + sqrt(72)*4 + sqrt(72))**2 - ((-1*2*sqrt(72))**2 + sqrt(72) + (sqrt(72) + 2)**2 + 5).\nAnswer: -969 + 594*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/(-10)*8\/(-6). Suppose z = b*z. Find q such that -5*q**4 + 0 + 5*q**5 + 5*q**2 + z - 4*q**3 - q**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(36\/(-8)) - -2. Let c(g) = g**2 - 16*g - 12. Let x be c(17). Let f = 437 - 437. Sort d, x, f in ascending order.\nAnswer: f, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -21, -18111 in descending order.\nAnswer: 9, -21, -18111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 - w - 4. Let s(k) = -9*k**2 + 3*k + 9. Let r(c) = -c**2. Let i(h) = 3*r(h) - s(h). Give -2*i(p) + 5*m(p).\nAnswer: 3*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*b = -b + 136, 4*b + 20 = 0. Let f be p\/2*(-8)\/(-12). Suppose -5*m = f - 97. What is the remainder when 33 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -282890, -282946, -283002, -283058, -283114?\n\"Answer: -56*w - 282834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51473548061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -429350, -429377, -429404, -429431, -429458?\n\"Answer: -27*j - 429323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 200*s**2 + 418*s**2 - 1573*s**2. Let n(q) = -q. Determine n(y(d)).\nAnswer: 955*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-3*(-13)\/(-3). Let v = -9 - f. Suppose h = v*h. Solve h*k + k = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133315?\nAnswer: 5, 7, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366975 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -929 divided by 1262.\nAnswer: -929\/1262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 6, p: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 348656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 263.1631ug in milligrams?\nAnswer: 0.2631631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2)*p*p*p**(1\/61)\/p)**(-6))**(-37) assuming p is positive.\nAnswer: p**(6993\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 14 = i, -4*d = -5*i + 1 - 3. Suppose -2*r = -r - i. Solve -6 = 4*g - r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.241822845 to 3 decimal places.\nAnswer: -0.242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -11538 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-2 - (-16)\/6). Let y(g) = -5*g**3 - 3*g**2. Let l(t) be the first derivative of 17 + 0*t**2 + 7\/2*t**4 + 0*t + 8\/3*t**3. Determine x*l(r) + 8*y(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i. Let u(k) = -3*k**2 + 6. Give y(u(h)).\nAnswer: 9*h**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37772556007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2174 and 21\/22.\nAnswer: 23914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132 - -156. What is the third derivative of -28*x**4 + 21*x**2 + 9*x**2 + k*x**2 wrt x?\nAnswer: -672*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**2*p**3*w + 3*g**2*p**2 + g**2*p*w + 38781489*g*p**3*w + 47*g*p**2*w - 4*g*p*w - 10*g*w - 4*g - 11*w wrt p?\nAnswer: 12*g**2*w + 232688934*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 869*c**2 + 869*c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49894 is divided by 24816.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20102 + 12202?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21020 + -10?\nAnswer: 21010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/32, -0.1, 2\/7?\nAnswer: 7\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*l**3 + 22*l**3 + 17*l**3 + (0*l + 0*l - l)*(-2*l**2 + 3*l**2 - 3*l**2) - 3*l**3 + 2*l**3 + 0*l**3 as m*l**2 + z + r*l**3 + o*l and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 9) + 13 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-5)*x)\/x))**(-1\/9)*x**12\/x*x**(-1\/16) assuming x is positive.\nAnswer: x**(493\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/405 and -19\/6676911.\nAnswer: 33384555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -535.9999517 - -536. Round g to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 461725 + 49745. Suppose 5*o - 64260 - y = -3*m, -5*m = 3*o - 249175. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -675*j. Let k(t) = -64*t**2. What is k(o(q))?\nAnswer: -29160000*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14720867?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (149 - 142)*3301\/1?\nAnswer: 7, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4507 is divided by 196?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g = 41 - 173 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1598*g + 727*g**4 + 1598*g + (-g**3 - g**3 + g**3)*(-2 + 2 + g) + g + 2*g**4 - g to the form x*g**4 + w*g**2 + a*g + v + y*g**3 and give x.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -244, -3, -4, 0 in decreasing order.\nAnswer: 5, 0, -2, -3, -4, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 + 9*h - 2. Calculate i(6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -240*i**3*s - 547*i**3 - i**2*s - 5*i**2 + 343*i*s - 6*i + 8*s wrt i.\nAnswer: -1440*s - 3282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + a - 5. Let o(k) = -158*k**2 + 4*k - 20. Give -12*f(s) + 3*o(s).\nAnswer: -486*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 1017 - 1016 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s + s + s + 2. Let v be u(3). Let x = -5 - v. Which is the smallest value? (a) -1 (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = 0, 4*y = -3*c - 0*c + 389. List the prime factors of c.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227605 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29\/5 - (-2 - 56\/(-20)). Let p = -9 + 19. Let s(j) = -5*j + p*j + 2*j + o*j. Let b(u) = u**2. Calculate b(s(k)).\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1189\/5*h - 1\/5*h**3 - 596\/5*h**2 - 594\/5.\nAnswer: -(h + 1)**2*(h + 594)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10455404 divided by -2613851.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 + u**3 - 10*u + 11*u**2 + 0*u**3 - 2. Let c(i) = i**3 + 7*i**2 + 4*i - 2. Let o be c(-6). Let g be b(o). Which is greater: g or -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Suppose -o*a + 430 = 7*a. What is the remainder when a is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -16, -41, -84, -151, -248?\n\"Answer: -o**3 - 6*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 108154*d**2 + 6 + 36055*d**2 - 13 + 36053*d**2 + 36054*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5413 - -5429. Calculate the remainder when 6991 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 + -1115\/7. Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23825916 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b - 2. Let s(m) = 2*m - 1. Suppose -z + 15 = 18. Let w(a) = z*i(a) + 5*s(a). Let c(v) = -v**3 - 9*v**2 + 11*v + 3. Let o be c(-10). Determine w(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 75*w**2 - 336*w - 1764.\nAnswer: -3*(w - 14)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 + 4*r**2 - 119*r + 268. Calculate m(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**4\/7 - 2020*x**3\/7 + 1475966*x**2\/7 + 8942056*x\/7 - 1488000 = 0?\nAnswer: -1500, -7, 1, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 565 - -8127?\nAnswer: 8703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6)*((-6)\/4 - 3). Which is the second smallest value? (a) -5 (b) 0.1 (c) i (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -523 + 521. What is the nearest to k in 0.4, -3\/7, -2\/5, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8565 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -13.99933. What is f rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3100000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*a**4 - 144*a**3 + 132*a**2 - 35*a + 3.\nAnswer: -(a + 3)*(4*a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 127*h - 37*h - 36*h - 44*h. Let u(w) = 22*w. Calculate b(u(y)).\nAnswer: 220*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 20*o**2 + 10*o + 193. Give g(7).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5810097 * 0.1\nAnswer: 581009.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**3*j**(-1))**(-1\/22) assuming j is positive.\nAnswer: j**(-3\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06442, 1.9, 4?\nAnswer: 0.06442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.018 and -0.09.\nAnswer: -0.54162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/2*-1 - (-567 - 2). Suppose -4098 = -2*h - w. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120*o + 245 - 32*o + 40 - 92*o wrt o.\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 86 = 3*t, -3*t - 75 - 31 = -s. Which is greater: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22160 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-2))*i*i**(3\/2))\/(i**(-7)\/(i*i**(-3\/4)))*((i\/(i*i*i**3*i))\/i)\/(i*i*i*i**(2\/3)*i*i)*i**(1\/10)\/i**(-2\/23) assuming i is positive.\nAnswer: i**(-5147\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32131*l**3*z**2 + l**3*z - 2*l*z + 38665*z wrt z?\nAnswer: -64262*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7717340.\nAnswer: 2, 5, 83, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 8*y. Let q(b) be the first derivative of b**3\/3 - b**2\/2 + 90*b - 25. What is the units digit of q(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2940.4 to the nearest ten.\nAnswer: -2940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 529.18218 and 0.5.\nAnswer: 264.59109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10791*h + 414. What are the prime factors of q(-6)?\nAnswer: 2, 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from ksieekemiseo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 197 = 5*k + 52, 2*u = -2*k + 42. What is the remainder when 44 is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.081 (b) -65 (c) -2 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 676 = -244. What is the smallest common multiple of 15 and l?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(91)*-1)\/(sqrt(7) - sqrt(448)*2)*3.\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q + 3. Let o(b) = 5665*b + 7725. Give -2575*h(p) + o(p).\nAnswer: 515*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - a - 3. Let h be x(0). Let c be 3 + h - -3 - -17. Suppose -247*o = -320*o + 7300. What is the greatest common divisor of c and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/986153 and -16\/36487661?\nAnswer: 36487661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -12193.227479531?\nAnswer: -12186.227479531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h - 6. Determine y(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*v + 17 = -41*v - q, v = -2*q + 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 110976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-60)*10\/(-4))\/((-1)\/5).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05872388793 to 5 decimal places.\nAnswer: 0.05872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 24*h. Let r(c) = -1172*c + 12. Give x(r(w)).\nAnswer: -1373584*w**2 + 56256*w - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 j when three letters picked without replacement from {v: 7, j: 5}.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z**2 - 21*z**2 - 100*z**2 + (2 + 1 - 4)*(-2*z**2 + 0*z**2 + z**2))*(-z**2 + 2*z**2 - 3*z**2).\nAnswer: 222*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5 - 294*m**4 + 101052*m**3 - 7663996*m**2 + 221316678*m - 2192562270 = 0 for m.\nAnswer: -335, 27, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/91884 and -17\/321594.\nAnswer: 643188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/5)\/((-2)\/10). Let q be (-20)\/(-90) + 0\/2. Let -2\/9*f**r + 0 + 0*f - q*f**3 + 0*f**2 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 1156827332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2030555 is divided by 135370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -45165 divided by 690?\nAnswer: -3011\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12\/49 (b) 2\/37 (c) -2\/13 (d) -0.1 (e) -6\/7 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (2 - 0) - 1. Suppose -9*b - 24 = -177. Calculate the remainder when b is divided by (1 + w)*(-36)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1607 - 3310 + 1703 + 4042*i**2.\nAnswer: 4042*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 546161*j**5*s - j**3*s**3 + j**2*s**3 + 129*j**2*s**2 + 332*j**2*s - 2*j wrt j.\nAnswer: 32769660*j**2*s - 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6*f - 7*f - 66 = 0, 10 = u + 3*f. Let h = u + -11. Suppose -9 = h*o + 1. Is o >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (18\/120)\/(36\/150*-5).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 5, -3245 in descending order.\nAnswer: 13, 5, -3245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079207 is divided by 2685.\nAnswer: 2522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 1947 - 1881 = 6*c, 0 = -2*c + 6*c - 2*s - 30 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r - 4, 0 = -4*z - 2*r - 8. Let u(f) = -f + 2. Let x be u(2). Put x, z, 4 in decreasing order.\nAnswer: 4, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbv when three letters picked without replacement from bvbvbvv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 163520 to the power of 1\/2, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*4*sqrt(2299) + (-5*(sqrt(1539) - 1*(-5 + sqrt(1539))))**2.\nAnswer: 625 + 660*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -667422, -667426, -667432, -667440, -667450?\n\"Answer: -y**2 - y - 667420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -133*r**2 - 35*r - 8. Let m be g(8). What is m rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/45*2*10\/8*74.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 7*c**2 + 2*c - 11. Let k be f(-6). Suppose p + 3*n = 6*n - 21, -n = -2*p - 17. Let u = p - -11. Solve -k = 2*m - q, -4*m = u*q - 12 + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 2*i - 37 + 5, -2*i - 3*q + 32 = 0 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3238 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 e when four letters picked without replacement from {s: 1, n: 2, e: 3, r: 1, p: 2, v: 6}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 1. Let m(h) = -5*h**2 + 2. Let z(i) = 2*b(i) + m(i). Let o(s) = 14*s. Calculate z(o(g)).\nAnswer: -588*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**5 - 365*z**4 - 8735*z**3 - 73515*z**2 - 151380*z = 0.\nAnswer: -29, -12, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-428)\/(-52) - (11 - (8 + -5)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Suppose 40 = h*g - 38. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 70\/((-8)\/(-4))*1. Let o be (8\/10)\/(14\/k). Sort -1, o, -2 in ascending order.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -2108637.\nAnswer: 1\/234293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 52*h**2 + 573*h + 5587. What is b(-10)?\nAnswer: 5057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2.8. Let v = s - -0.1. Let p = -36 + 33. Which is the nearest to v? (a) 0.2 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -7. Let d be ((-58)\/j + -2)*8800. Round d to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b - 30*b + 3*j + 30 = 0, 0 = 128*b - 129*b + 4*j + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzannyyyznzy. Give prob of sequence aaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122\/115 - -6\/23. What is the closest to 2\/7 in -5, p, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*k + 11*k - 320*k as l + p*k and give p.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 11 - 4 - (-1 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1176037*v + 185. Let d be n(-5). Round d to the nearest 100000.\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 1. Let l be x(-3). Suppose -76 = l*p - 0*p. Suppose 20*r = 4435 - 4795. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 8*p**2 + 21*p**2 - p - 15*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.55206 hours in minutes?\nAnswer: 3033.1236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78418519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 161?\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5778 - 5779 - 2*p**3 + 11*p**2 - 43*p**2)*(4 - 6 + 3).\nAnswer: -2*p**3 - 32*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 925*u - 925*u + u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004334571 rounded to six dps?\nAnswer: -0.000433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 27. Is m bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 4.6. Let y = -6.7 - -7.55. Let f = -2.15 - y. Which is the nearest to -0.1? (a) q (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -526 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - 3 + 3 + (0*g + g + 0*g)*(4*g + 0*g - 2*g) + g**2 + 3*g**2 - 5*g**2 + (-8*g - 4*g + 0*g)*(14 - g - 14).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001529421 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 580520 and 92345.\nAnswer: 466157560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 44 = 4*z - 0*z, 5*z - 96 = -4*o. Suppose -4 + z = 4*l. Suppose 0 = -3*r + l*a + 51, -3*r + 2*a - 44 = -7*r. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -586 + 588.99. Let z = 0.01 + u. Which is the second smallest value? (a) z (b) -2\/11 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**3 + 2*j**2 - 5. Suppose 2*b = 5*i + 14, 0*b - 7 = -3*b + 4*i. Let v(q) = 2*q**3 + q**2 - 4. What is b*t(s) + 4*v(s)?\nAnswer: -s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 12 = 4*x - 7*f, 3*f - 10 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513342993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, 227, 784, 1555, 2534?\nAnswer: 3715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 + 5*g**2 - 5*g - 6. Let q(w) = -5*w**3 - 14*w**2 + 14*w + 17. Let z(d) = 3*q(d) + 8*r(d). What is the least common multiple of 20 and z(3)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 8*k + 11. Let n(a) = a + 38. Let t be n(-16). Suppose -13 = -q - 4*i, 7*i = -q + 10*i - t. Let l be z(q). Solve l*m + m = -5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67320 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 1\/116, -4, -10, 2 in increasing order.\nAnswer: -10, -4, -3, -2, 1\/116, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 569251471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1. Let y(o) = -13 + 246 - 10 + 53*o - 28 - 36. Calculate -159*x(n) + y(n).\nAnswer: 53*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 617261, 617181, 617033, 616805, 616485?\n\"Answer: -2*c**3 - 22*c**2 + 617285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 3753*q - 383724 = 0 for q.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0 (c) 7\/5 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307872283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, t: 4, w: 6, n: 3, a: 1}. What is prob of sequence natj?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = 2*p, -5*p - x - x + 14 = 0. Let b(w) = -w**3 + w**2 + w + 2. Let o be b(p). Suppose o = 4*i - 2*i - 6. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -4\/5, 2, 0.814, 1?\nAnswer: 0.814","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 3. Let y(p) = -5*p - 5 + p + 0. Let w(q) = -5*l(q) + 3*y(q). Calculate w(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5545, 5534, 5523, 5512, 5501?\n\"Answer: -11*k + 5556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 15 - 42*x**2 - 32 - 5*x**2.\nAnswer: -47*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*(3 + (sqrt(243) + -1 - sqrt(243))*-1 + sqrt(243) + 1) + 2)**2.\nAnswer: 288*sqrt(3) + 1036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 1. Let j = -83 + 86. Let k be g(j). What is the tens digit of (-1 - -176) + k + 10 + -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*r + 26*r + 16*r in the form m*r + l and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**2 + 6*q + 7. Let w(m) = -m**2 + 2*m**2 + 4*m - 2*m**2 - 14*m + 9*m - 1. Let t = 9 + -5. Determine t*w(v) + y(v).\nAnswer: v**2 + 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -335706*h**2. Let q(s) = -651*s. Calculate g(q(i)).\nAnswer: -142272538506*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1157442\/815 or -1420?\nAnswer: -1420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165 by -55.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 907 = 2*g, -m = g + m - 449. Suppose g = -4*z + 11*z. Suppose -7 = i - z. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143 + -225. Let o = -70 - b. Suppose 0 = -o*z - 7 + 19. Does z = -21\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236637 - 158187 = -64*m + 431928. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 61*k**2 + 490*k - 1. Give r(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.645 + -0.115. Let o = 0.83 - u. Let g = -9.1 - o. What is the biggest value in g, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80367 + 80370. Factor 972*i - 162*i**2 + 0 - 126*i**y - 50\/3*i**4 - 2\/3*i**5.\nAnswer: -2*i*(i - 2)*(i + 9)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23762 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 886*o = 863*o - 184 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 398063 to the power of 1\/2, to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15391*h**4 + 2*h**2*s - 7*h + 5*s + 957515 with respect to h.\nAnswer: -61564*h**3 + 4*h*s - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 180\/25267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1100 and 18?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 - 4*j**3 + 6*j**3)*(3868 - 6242 - 2392 - 6590).\nAnswer: 11356*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756885231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -2\/3*a**4 + 0 - 2\/3*a**3 - 3*a + 0*a**2. Find w, given that r(w) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/1008*(-1)\/(-3)*-9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(8\/(-96) + (-2)\/(-6)). Let r(i) = -51*i**3 - 3*i**2 + 2*i - 5. Is r(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 39*u + 40*u - 2*u**2 - 2*u**2.\nAnswer: -3*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 + 60. Suppose s*w - 14 = -2. Solve -5*g - 13 - 13 = -3*u, -u - 2*g - w = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2\/5, 44, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 28*f**2 - 144*f - 532. Determine z(21).\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -9. Suppose x*t - 24 = 24. Solve 0*z - t = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 0 + (6 - (8 - 1)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 168*u**2 - u - 164. Let t(m) = -42*m**2 + 41. Let n(h) = 2*d(h) + 9*t(h). Find the second derivative of n(k) wrt k.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 22*s - 60. Let f be h(-17). Solve -5*y - 10 = -5*r + 15, 0 = 5*r - 3*y - f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*d + 2*y + 70 = -43*d, 4*y + 169 = -5*d. Let b(l) = -19*l - 544. Determine b(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 + 4*x**2 + 3*x + 6*x**2 + 142*x**3 - 7*x**2 - 2 to g*x + h + y*x**3 + f*x**2 and give y.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x + 0 + 24*x**2 + 0*x**7 + 7\/12*x**4 + 47\/336*x**8 + 0*x**6 + 0*x**3 + 0*x**5. Find the second derivative of h(o) wrt o.\nAnswer: 940*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -13431851416 and 1.006.\nAnswer: -13431851414.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i*i*i\/i**(1\/4)*i)))\/i)\/i)\/i*i**(-1\/11))**(7\/9) assuming i is positive.\nAnswer: i**(203\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 2*l - 2. Let g(f) = -f - 25. Let u be g(-22). Let x be y(u). Let j(r) = 6 + 1 - 15 + r + 4*r**2 + r**3 + x. What is j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/7)*n**5)\/(((n\/(n\/n**(-1\/9)))\/n)\/n**(2\/9)) assuming n is positive.\nAnswer: n**(130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 281509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1488*h - 1325*h = -4075 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**4 + 4*b**4 - 6*b**4 + (4*b - 2*b - b)*(-4*b**3 - 2*b**3 + 5*b**3) + b**2 - 4*b**4 - b**2 as o*b**2 + q*b**4 + i*b**3 + v + a*b and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -2. Let m = t - 3. Suppose 0 = 11*y + 77 - 121. What is the remainder when y is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*o - 5*m, -3*m - 6 = -0*o - o. Suppose 2*g = -5*a - 21, a + o = -g + 3*g. Differentiate g + 2 + 0*v + 2*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 l, and 1 j when four letters picked without replacement from {a: 5, j: 1, c: 6, y: 1, l: 1}.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 365 + -1827\/5. Let d be 2\/(-7) + 4\/7. Suppose -2*y - 6 = -0*y. What is the nearest to i in y, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v. Let z(a) = -a + 51. Let x(o) = -26. Let k(h) = -5*x(h) - 3*z(h). Give r(k(p)).\nAnswer: -3*p + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-32)*-3*12\/27.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(2\/7))**36)**(-44))**(-2\/5) assuming y is positive.\nAnswer: y**(50688\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, q: 6}. What is prob of sequence nqq?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-476)\/(-35) + 2 + (-26)\/10. Suppose 0 = -s + g*l - 15*l + 25, 2*s = -5*l + 54. Calculate the highest common divisor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2878089371.\nAnswer: 2878089371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i*n*x**3 + i*n*x**2 - 2*i*u - i*x**3 - i*x**2 - 14*n*u + 2*n - 63*u*x**3 wrt x?\nAnswer: 18*i*n - 6*i - 378*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 704 and 2655488?\nAnswer: 2655488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**4 - 48*z**3 - 61*z**2 + 31*z + 5. Let t(b) = -3*b**4 + 27*b**3 + 30*b**2 - 15*b - 3. Let n(s) = 3*r(s) + 5*t(s). Find a, given that n(a) = 0.\nAnswer: -2, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7046012 is divided by 153.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 64, 106, 168, 256?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (6 - (-5 - -10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -37. Which is the second smallest value? (a) -1 (b) 2\/17 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - 1.02. Let s = -0.1 + 0.1. Let u = 5 - s. Which is the nearest to t? (a) u (b) -0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(2*sqrt(12)) - ((sqrt(5) + -1 - sqrt(5)) + -5))**2 + 4.\nAnswer: 6*sqrt(5) + 165\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4*i + 0*i)*(-11*i**2 + 17*i**2 + 2*i - 7*i**2 - 3).\nAnswer: -i**3 + 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 8*g - 7. Let k be 1 - 0 - (10 - 0). Let o be (-2)\/9 - 56\/k. Let i = o - 1. What is n(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + -89. Let u be -8*((-51)\/r + 4) - -3. Factor -4 - 2*p - 7*p**2 + 5*p + 3*p**2 + u*p.\nAnswer: -4*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 3*h - 3, j + 5 = -4*j + 5*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 1\/4*l**2 + 3*l - 12 + 1\/72*l**4 - 1\/9*l**3. Let i(q) be the first derivative of c(q). Factor i(y).\nAnswer: (y - 3)*(y - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 31108 = -2*k, 48724 = -3*k - t + 2041. Round k to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-63) + 2\/(-7). Suppose 0 = 4*v - 12, 2*x + 3*v = -2*v + 23. Solve d + q = -x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccckcccccckcccccccc. What is prob of picking 2 k and 1 c?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 213 - 185. Let m be (240\/o)\/((-28)\/686). Which is smaller: -211 or m?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*d - 2*d - 6*d - 1 + 2*d + 1 + d + 2*d - d + (3 - 2 + 1)*(-4 + d + 4) - 3*d - d + 6*d - 3*d + 0*d + 2*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 9:05 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 3\/7 (c) 2 (d) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 57 = 3*j - 0*j, 3*d = -5*j + 55. Suppose 205 = 5*a - 2*f, 4*f - j - 68 = -2*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -55, 134, -6 in descending order.\nAnswer: 134, -5, -6, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (2*sqrt(117) + sqrt(117))*1)\/(sqrt(144)*4).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -318456356, -636912712, -955369068, -1273825424, -1592281780, -1910738136?\n\"Answer: -318456356*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17247150 (base 8) to base 13.\nAnswer: -aa89a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*r + 5, 2*r - 6*r = -x - 21. Suppose h - 4*h - 5*k + 187 = 0, r*h - 323 = 3*k. Suppose 866 + h = 6*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 5*j - 3. Let u be l(5). Let s = -2962 + 2962.4. Put u, 37, s in decreasing order.\nAnswer: 37, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -3392.\nAnswer: 1\/1696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/12*2*4. Suppose 0 = 4*s - q*s - 44. What is the lowest common multiple of s and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5231 < 444564\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2937 - -20596\/7. What is the common denominator of 53\/9 and i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2028\/5 or 406?\nAnswer: 406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = -2*v, -2*m - 2*m + 4 = -2*v. Let n be (-11)\/v + 2\/8. Suppose -5*r - 94 = -n*o, -38 = -o - r + 4*r. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64898 by 839.\nAnswer: 64898\/839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 114143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {z: 2, e: 3, v: 5, n: 1, s: 7, a: 2}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 2*v**2 + 0*v**4 + 1\/6*v**5 + 0*v + 0 + 7\/6*v**3. Differentiate d(w) with respect to w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5750d (base 15) in base 10?\nAnswer: 277888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2 + 18*z + 4. Let v(s) = -4*s**2 - 17*s - 3. Let y(c) = -5*r(c) - 6*v(c). List the prime factors of y(5).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4938*s - 376170 = -167826 + 155399 + 115243 for s.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - i + 7, -12*l + 15*l + 4*i - 13 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/6085 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2928 divide 296544912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(44) + 1 + 3.\nAnswer: 3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 78, 169, 296, 459, 658, 893?\n\"Answer: 18*s**2 + s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -12. Suppose 170 = 6*v + 38. Is k\/v + (-57414)\/(-154) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5*(sqrt(8) - (sqrt(8) + sqrt(24)\/(sqrt(9)\/sqrt(3)))))\/(((sqrt(396) + (sqrt(396)*1 - sqrt(396)))\/sqrt(11))\/sqrt(9)))**2.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*x**3 - 2*x**3 - 2*x**3 + (3*x**2 - 3*x**2 + 2*x**2)*(-3 - x + 3) + (2*x - 4*x - x)*(-2*x**2 + 3*x**2 + 0*x**2) + 5 - 2*x**3 - 5.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0.4, -0.052?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 2:23 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + m - 1. Let f(a) = 2*a**3 - 7*a**2 - 3*a - 7. Let r(q) = -3*q**3 + 8*q**2 + 4*q + 8. Let p(k) = -6*f(k) - 5*r(k). Give -p(b) - 2*y(b).\nAnswer: -b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -32*t**4 - 5*t**3 - 15*t**2. Let l(j) = 48*j**4 + 7*j**3 + 22*j**2. Let g(m) = 5*l(m) + 7*u(m). What is the third derivative of g(d) wrt d?\nAnswer: 384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 6, -752 = -2*h - 3*h + 4*x. Let d = h + 253. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -15*n + 2. Let h(t) = t**3 - 2*t**2 - 79*t + 15. Calculate the remainder when y(-2) is divided by h(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818886.6kg to nanograms.\nAnswer: 818886600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33264 and 36.\nAnswer: 33264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/509 (b) -0.0929 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/41 + -64\/123. Suppose -6*g + 5*g = 4. Sort g, n, 2\/9.\nAnswer: g, n, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 385 - 385.1. Let h = 137.5 - 138. What is the closest to u in h, 0.7, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v + 2*v - 3*v + (-5*v + 4*v + 3*v)*(-1 - 1 + 3).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 10*i - 170 = 2*b, 4*i - 2*b - 230 = 0. Calculate the greatest common divisor of i and 2960.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = 2. Let x = y - -2. Suppose -6*z + 15 = -x*z. Solve 0 = 2*o - 5*l + 2, z = -5*o - 0*l - 2*l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168532534 take away 0.12?\nAnswer: -168532534.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6547*t - 2679*t - 539*t - 2543*t + 558*t in the form m*t + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 9. Let a = -20 + 25. Suppose -2*q = -c - 3*c - 28, -2*q = -a*c - 30. Calculate d(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 6*w**2 - 4*w - 2. Let b be 4 - (-3 + 1 - -1). Let z be u(b). Suppose -4*c + 18 = 5*i, -3*c + z*i + i + 29 = 0. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k - 7*k**2 + 0*k**3 + k**3 - 2*k**3 - 4. Let i be y(-6). Solve -2*h - i*h = -20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**4 + 1140*m**3 - 8*m**2 + 32615.\nAnswer: -8*m**3 + 3420*m**2 - 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 37\/3 (c) -32988\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**7\/42 - 19*a**4\/24 + a**3 + 17*a. Let g(p) be the second derivative of y(p). Differentiate g(l) with respect to l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2235075 (base 10) to base 14\nAnswer: 422763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 2919?\nAnswer: 17514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*(sqrt(704) + -2)**2 + -4)*-6.\nAnswer: -384*sqrt(11) + 8508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:59 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -830\/7*n - 412\/7*n**2 - 416\/7 + 2\/7*n**3.\nAnswer: 2*(n - 208)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*y = 2000 + 4878, -4*n + 6873 = 3*y. Let t = n - 634309\/369. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 + 2.5. Let k = b - 1. Let p = -5.66 + 5.66. What is the closest to 2\/3 in k, p, 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2505)\/30)\/((-5)\/(-6) - 1)?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 3*k)*(-26 - 17 + 14) to m*k + u and give m.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*f - 104*f + 42 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-414)\/(-230))\/((-4)\/(-10))*(-6)\/720?\nAnswer: -3\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67435153 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289946533 to the nearest integer?\nAnswer: 17028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 5*y + 5. Let p = 12 - 7. Let c(w) = -w + 10. Let k be c(4). Let v(i) = 7*i**2 + 6*i - i**2 + 8*i**2 - k - 13*i**2. What is p*v(d) + 6*o(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16281052 divided by -4070263?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12788?\nAnswer: 2, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*l**2 - 179*l**2 + 437*l**2 - 189*l**2.\nAnswer: -31*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658 + 1442?\nAnswer: 3100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8+101835\nAnswer: 101843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 4:16 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 0.4, -28\/9, 19, 0, -6\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 3. Let r = -3 - -7. Calculate the least common multiple of u and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -9. Let b(h) = -h**3 + 3*h**2 - 3*h + 1. Calculate b(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6331577l?\nAnswer: 633.1577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (0 - (-8 - -10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microsecond in nanoseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 319 = 55. What is the least common multiple of v and 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10016.4 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -5\/2, 6, 2\/5, -3\/5, 0.03 in increasing order.\nAnswer: -5\/2, -3\/5, 0.03, 2\/5, 6, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**2)**(-4\/15)\/((y**5*y*y)\/(y\/(y*y\/y**(-1\/5)))))\/((y\/y**3)\/(y\/(y\/y**(3\/2)))*(y\/y**(-5\/2)*y)\/y*y*y\/y**(-4\/9)) assuming y is positive.\nAnswer: y**(-103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 5*g - 40*g**4 + 5*g + 41*g**4 + 6*g**3 to w*g**3 + i + x*g + j*g**2 + s*g**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.34 * -315031\nAnswer: -107110.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -65, -137, -201, -251, -281, -285, -257, -191?\n\"Answer: z**3 - 2*z**2 - 73*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17227 and -0.401.\nAnswer: 0.06908027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a century in decades?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*r + 0*r - 8*r)*(-1 - 7 - 1)*(0 - 4 + 2) in the form b + m*r and give m.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 4*a**2 - 4*a - 1. Let x be z(-4). Let n(c) = 19427*c + 15. Let l be n(x). Let r = 1851420 - l. Round r to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 405 - 616. Let x = l + 211.5. What is the nearest to 2\/5 in -1.9, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20761862 and 490501?\nAnswer: 8041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) - 9\/(-2). Suppose 0 = -3*c + i*r - 4 - 0, -3*r = 4*c - 28. What is the third derivative of 0*m**4 - m**2 - 3*m**c + 2*m**2 wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 7. Let n be p(4). Sort -2, n, 0 in descending order.\nAnswer: n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 13 = 5*z, -27 = 4*a - a + 3*z. Let r = -161 + 149. Let x be 2\/a*(-6 - r). Sort x, 2, -4 in descending order.\nAnswer: 2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + -0.1. Let r = j - -0.02. Let k = -34363\/15 - -2291. Is r less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (-3 - -1*2). Suppose f*i = -3 - 12. What is the units digit of 12*1*i\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0387 + 3.9087. What is b rounded to one dp?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-5)\/(-2)) - 377\/(-455).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + v + 7. Let u be o(-4). Suppose 5*k - 481 = u. Let q = -1418 - -1452. Calculate the remainder when k is divided by q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rllbbltrtlb. What is prob of sequence tb?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -602 or -3017\/5?\nAnswer: -3017\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2020798 = 4*d - 2*w, 2*d - 5*w - 1010401 = -2*w. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/6 - 5\/15. Find the second derivative of -2*c**2 + m*c**2 - 4*c + 3*c**3 - 7*c**3 wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((26320\/84)\/(-47))\/4.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 21342950 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 204 + (-193 - 32) - (33 + -1)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.14, 2, -2\/5, 0.3352, 83.\nAnswer: -2\/5, 0, 0.14, 0.3352, 2, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + h**2 + 0*h**2. Let v be g(1). Let b = 2 - 1.7. What is the closest to v in b, -2\/5, 2\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*a + 14657 = 3681. Calculate the smallest common multiple of 6400 and a.\nAnswer: 44800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 203\/2049?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 305*f - 105610.\nAnswer: 5*(f - 118)*(f + 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:35 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1728702 and 486.\nAnswer: 1728702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*z + 5*x, 5*z - 15*x = -13*x + 104. What is the remainder when z is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + (1 - 0 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 13*v**4\/6 - v**3\/6 - v**2\/2 + 17*v. List the prime factors of i(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1263376*i**5 + 3794624*i**4 - 11356892*i**3 + 6276428*i**2 + 22444*i + 20 = 0 for i.\nAnswer: -5, -1\/562, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a + 33. Let c be g(-6). Let j be (12148\/(-12) + 4)\/(c\/360). What is j rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -162827.524 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - 2*v**2 + 4*v**2 + 4*v**2 - 9 + 9 + (-4 - 1 + 6)*(3*v**2 - 4*v**2 + 2*v**2) - 5*v**2 - 4*v**2 - 4*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1747004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122610177 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*s**3 - 20*s**3 + 50*s**3 + 48*s**3 + 2*s**3.\nAnswer: 107*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**5 - 21*h**4*l**2 + 3*h**4 - h**2*l**2 + 3*h**2 + 184*h*l wrt h?\nAnswer: 120*h**2 - 504*h*l**2 + 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*u + 10522 = -4042 - 1624 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 91*b + 6. Let l be z(-4). Is l\/(-3) - 3\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 172\/(-22) + 6*7\/(-231). Let u(g) = -3*g - 21. Let w be u(s). Which is smaller: 7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 176 - 163 - (0 + -1 - (2 + -18))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 5*b**6\/24 + 53*b**5\/20 + 3*b**4\/16 - 245*b**3\/12 + 61*b**2\/2 - 15*b + 442. Determine t, given that s(t) = 0.\nAnswer: -10, -3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25976 divided by -190?\nAnswer: 12988\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1896166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 5, -6*q = 6*q - 3*t + 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**5\/20 - w**4\/2 - w**3\/3 + 3*w**2\/2 - 2*w. Let r be h(-6). Solve 3 = -2*n - 2*l + l, 0 = -3*l + r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -1\/7, -0.3, -0.1, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090523558.\nAnswer: 2, 307, 1776097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -13.\nAnswer: -13.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2557 - 2557.4. Let p = 0 + 0. Which is the closest to p? (a) g (b) 2\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 6 - 1 - (2 - (-3 - -3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19352?\nAnswer: 2, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -444626?\nAnswer: -444632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -24 + -4 + 16 + -4 + (-1 - 61).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5054 + -1344. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1668068?\nAnswer: 1\/1668068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -2*b**3\/3 - b**2 + b - 21. Suppose 44*l - 40*l - 12 = 0. Let c(w) = -w + 2*w**2 - w - 2 + 5*w. Determine l*j(o) + 2*c(o).\nAnswer: -2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 1, m: 1, b: 1, w: 1, r: 2}. Give prob of sequence bm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -60862 at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312 and 72.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4245 divided by -3.\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*q + 7*q - 14*q + 2*q**2 + 34*q.\nAnswer: 2*q**2 + 174*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 27*l**3 - 5*l**2 + 2*l + 2. Let g(x) = 14*x**3 - 3*x**2 + x + 1. What is 3*a(q) - 5*g(q)?\nAnswer: 11*q**3 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n - 6. What is s(5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/142 and -45\/244?\nAnswer: 17324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2402*l - 602. Let p be v(1). Suppose 17 = -5*m + 4*a, 0 = -2*m - 2*m + a - 7. Is 3\/3 + m - (-1 - p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 - -55. Suppose -2*j + 2*p = j - 172, 0 = 2*j - 4*p - r. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-25) + 12\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1231170375 by 6675.\nAnswer: 184445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 22346287982.\nAnswer: -22346287982.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + h**2 - 1. Let k be (3 - 1) + -4 + 3. Let y be m(k). Solve y = 2*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*sqrt(44) + -1*(sqrt(11) + 1)**2 + 1 + ((sqrt(550) - sqrt(550)*-1)\/(sqrt(2) - (sqrt(2) - (sqrt(2) - sqrt(8))*5 - sqrt(2))))**2*6.\nAnswer: 6*sqrt(11) + 797\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -146*w + 14004. Give x(96).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppoopppopooo. What is prob of sequence opo?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 8*f + 11. Let r be j(6). Let t(m) = -m**2 + m. Let s(u) = u + 10. Let k be s(-8). Let q(v) = -8*v**k + 10*v - 27 + 27. Give r*q(z) + 10*t(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-2 - 14\/(-8)). Suppose 2*h + 0 = 24. Suppose 5*i + 7*f - 7 = 3*f, 0 = 2*i - 3*f - h. Which is the second biggest value? (a) -0.3 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 14 + 11 = 0, 319 = 4*n + c. What is the remainder when n is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s*s\/(s*s*s*s*s*s*(s**(-2\/41)\/s)\/s*s)*s))\/s**(5\/2))\/(s\/(s**(2\/55)\/s)*((s*s\/(s**(1\/17)\/s))\/s)\/s))**(-1\/2) assuming s is positive.\nAnswer: s**(111447\/153340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 10*j - 3)*(4 + 0 - 2 + (-1 - 2 + 1)*(-5 + 3 + 0)).\nAnswer: 60*j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 841*l*x**4 + 3*l*x**2 + 157*l*x - 2*l - 5616*x**6 - x**2 - 308*x wrt x?\nAnswer: 20184*l*x - 673920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3*(-126)\/(-28). Which is the smallest value? (a) w (b) 1\/2 (c) -4 (d) -44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**1*g*g)\/g*g)**(-49)*(g\/(g\/(g*g\/((g*g**(2\/3))\/g)))*g)**(-1\/9) assuming g is positive.\nAnswer: g**(-5299\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -480c - -13?\nAnswer: -47d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -j - 60. Suppose j = 2*m - 10. Suppose 0 = v + 4*q - m + 1, -2*v + 2 = -q. Solve -2*o + 5 = -3*o, -15 = -5*x - v*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b - 38*b**2 + 17*b**2 + 19*b**2 + 3*b + 33*b**4 - 2*b**3 - 6*b as z*b + d*b**4 + h*b**3 + c*b**2 + g and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/p**11))\/p)\/p*p*p**(-1\/4)*p*p**5\/(p\/p**14*p) assuming p is positive.\nAnswer: p**(107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13236, 26407, 39578, 52749, 65920, 79091?\n\"Answer: 13171*h + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 6) in base 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17044106?\nAnswer: 2, 947, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*-3 - (sqrt(25)*4)\/sqrt(5)*-3)**2.\nAnswer: 8820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*u + 372 + 129 + 192 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3466126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1275 - 1647 - 3611 = -250*s + 9217 for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*j**2 + 75*j**2 + 57*j**2 + 20*j**2 in the form f*j**2 + z + o*j and give f.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/24)\/((-51)\/(-136)). Let y = -2.2 - -2. Let h = -215 - -217. What is the closest to s in y, 4, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 202, 195, 186, 175, 162?\n\"Answer: -z**2 - 4*z + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 3*g + 2. Let t = -5 + 1. Let u be t\/22 - 31\/11. Determine k(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(8\/12) - -4. Let u = 5 - w. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 31 = -2*r + 7*r, 4*h = -16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/394 greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 + 0*k**3 - k**3)*(-6*k - 4 + 4).\nAnswer: -24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 173*o + 6823. Let p be i(-37). Solve 421*q + 5 = p*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 + 7*u - 502. What is the units digit of z(24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4360850 rounded to the nearest 100000?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in ninety-five halves of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 + w - 4 - 2*w**2 - 4*w. Let x(u) = u**3 - 9*u**2 - 10*u. Let b be x(10). Suppose b = 3*p - 13 - 2. What is c(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**4\/17 + 356290*p**3\/17 - 7935424342*p**2\/17 + 67431601296*p\/17 - 138816931680\/17 = 0.\nAnswer: 7\/2, 5, 44532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**2 - 5 + 5 - 22*s**2.\nAnswer: -37*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 + 2*g**2 + 0*g**2 + (2*g + 0 + 0)*(-571*g - 343*g + 756*g) + (-6*g + 6*g - 5*g**2)*(3 + 1 - 5).\nAnswer: -313*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-1 + (-7)\/(-4)). Suppose -122 = -r*i - 30. Calculate the remainder when 90 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(100)\/sqrt(10)*1)\/((sqrt(180) + sqrt(180)*5 + sqrt(180))*5) + -4.\nAnswer: -4 + 2*sqrt(2)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*h - 74 = 2*h, -68 = z + 13*h. Solve -863*d + z = -868*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -3 + 3 + -35. Let u = l + -444. What is u rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3805 = -5*p - 5*c, -305*p + 301*p - c = -3059. What is the remainder when p is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5\/3 + 3194*u**4\/3 - 4298*u**3 - 137738*u**2\/3 - 83108*u\/3 + 76848 = 0.\nAnswer: -1601, -4, -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 0, 160, 17, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38901.\nAnswer: 3, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -52055*d**4 - 69112 wrt d?\nAnswer: -208220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 4*q**2 + 5*q + 1. Let t(r) = -2*r + 5. Let b be t(5). Let k be o(b). What is the tens digit of k\/(-2) - (-189)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c = 24, 2*q + 0*q - 2*c - 22 = 3*q + 6*q - 4*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 127034322 and -1.297.\nAnswer: 127034320.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*f + 1069162 - 1069162 + 24*f**2 - 89*f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941129926 a multiple of 1901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 4. Let s be ((-2)\/(-4))\/(i\/(-22)). Let n(z) = 35*z**2 + 2*z - 1. Let h be n(s). Calculate the highest common factor of 24 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + (0\/2)\/(-2). Is ((-36)\/(-90))\/(2\/(i*50)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-24)\/(-8)*20\/30). Let o = 2107\/19 - 111. What is the closest to w in -2\/7, o, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 + 1 - 12\/(-4). Let a be 1 + 1 + 0\/n. Let h be 1 + -1 - (-1 + -2). Solve 5 - h = a*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 5*l, 11*c - 10*c + 4*l = -13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m = -25, 3*b = -2*m - 7. Let p be (0 - 0)\/(-2 + b). Is -11 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222134 (base 6) in base 15?\nAnswer: -57c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -53. Let g(u) = u**3 + 5*u**2 + 3*u - 4. Let n be g(-3). Suppose -2*a = -n*a + d. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 15*o**2 - 19*o - 14. Let l(v) = 2*v**3 - 30*v**2 - 37*v - 25. Let q(f) = 3*l(f) - 5*m(f). Suppose -2*t - 13*t = -240. What is q(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 429 - 428 + 10*b**2 + b**4 + b**3 - 3*b + 37*b**2 + 0*b**4 + 19*b**2 to m*b**2 + u*b**3 + p + d*b + n*b**4 and give m.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3*h - 8*h + 4 + 2*h.\nAnswer: -9*h + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 45\/2. Let k = 252930 + -2785499\/11. Let q = 297 + k. Put x, q, -5 in ascending order.\nAnswer: -5, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-348909.8\nAnswer: 6978.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**5\/30 - r**2 + 103*r. Let p(a) = 71*a. Calculate p(h(v)).\nAnswer: 142*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 10*z + 6*z**3 + 1 + 3*z**2 - 2*z**2 + 9. Let y be m(-1). Let t(h) = 2*h + 2. Determine t(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 210?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 876708 divided by 147\nAnswer: 5964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 305257.3ml?\nAnswer: 305.2573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1282*g - 9168. Is 117 a factor of p(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*g*o**4 + 20*g*o**3 + 26*g + 1 wrt o?\nAnswer: -52*g*o**3 + 60*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.2? (a) 2 (b) 2\/3 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48467465 is divided by 19302?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-36)*p**25 assuming p is positive.\nAnswer: p**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15445480.\nAnswer: 2, 5, 19, 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -283 or -81372\/289?\nAnswer: -283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -2)\/(4\/662). Let r = g + -1661\/5. Which is the biggest value? (a) r (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 6:14 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -515376895*s**3 + 454245014 wrt s.\nAnswer: -1546130685*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + -1*sqrt(11).\nAnswer: -8 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 6 = 13*p + 3*z, 5*z + 14 = 3*p. Solve -4*d - 2\/5 - 32\/5*d**4 - 66\/5*d**2 - 16*d**p = 0 for d.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 641?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + s**2 + s**2)*(2 + 0 - 1)*(-1372*s**3 + 2224*s**3 + 1547*s**3).\nAnswer: 4798*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apepp. What is prob of picking 2 p and 1 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 3*t**2 - 7*t + 1. Suppose -3*w + 0*c = -3*c + 12, 4*c - 16 = w. Suppose 0 = -l + 5 - w. What is the tens digit of s(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -5. Suppose 4329 = 3*r + p*b - 32596, -4*b + 61520 = 5*r. Round r to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -127, 4 in descending order.\nAnswer: 4, 2, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = 0. Suppose t = -2*k + 106 + 272. Suppose -3*s + 22 = -41. What is the highest common factor of k and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen halves of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19896464 to the nearest integer?\nAnswer: 4461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 32842820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/13 - 68*t\/13 - 70\/13 = 0.\nAnswer: -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10 = o, d - 20 = -3*o - 3*d. Let k(j) = 130*j + 7. Is k(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95680 and 360.\nAnswer: 861120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36144 and 31356?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + g. Let k be y(-3). Let x = 5 - k. Calculate the remainder when 33 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5335ba - -16?\nAnswer: 533614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(8\/13)*b\/(((b\/(((b\/(b*b**(-6\/5)))\/b)\/b))\/b*b)\/b))\/(((b\/(b*(b\/b**(25\/4))\/b))\/b)\/(b\/(b**24*b))) assuming b is positive.\nAnswer: b**(-7133\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10415 - -7043?\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 33*b + 27. Let n be a(-32). Sort 1\/4, n, -4355.\nAnswer: -4355, n, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35, 48, 51, 38, 3, -60, -157?\n\"Answer: -c**3 + c**2 + 17*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -31\/3*x**3 + 3 + 29\/2*x**2 + 0*x. What is the second derivative of k(p) wrt p?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 157924505 divided by -31584901\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -124, -104, -110, -154, -248, -404, -634, -950?\n\"Answer: -2*m**3 - m**2 + 37*m - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 90 - 3*c**2 - 4424*c + 1100*c + 1109*c + 1098*c + 1105*c as r*c**2 + n*c + z and give z.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 21. Let k = -3.18 + z. Is 0 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (22 + (7 - -12 - 4) - 5)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 15 + -28 - -10) + (-3 - (-2 - -133))?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3129782944 to the power of 1\/3, to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(((-4*sqrt(135))\/sqrt(5))\/sqrt(9) + (-2*sqrt(5808))**2).\nAnswer: -20*sqrt(3) + 116165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 + -4)*160443\/45 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:53 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 12*b - 24*b**2 - 23*b**2 + 46*b**2 + 3. Let o be p(13). Put o, -5, 1\/3 in ascending order.\nAnswer: o, -5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2693*r - 7. Let o(j) = -5345*j + 13. What is -6*o(y) - 11*s(y)?\nAnswer: 2447*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18361 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, u: 3}. Give prob of picking 2 x and 2 u.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*c - 24, 57 - 33 = -4*f + 4*c. Suppose 0 = g + 1 - 6. Solve f = 3*n + 2*w - g, -3*n + 0 + 7 = w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56806*f**2*t**3 - 225*f - 165*t**3 wrt f?\nAnswer: 113612*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141*o*v**4 + o*v**3 + 433*o*v**2 - v**4 + 120*v**3 + 61*v**2 - 2*v wrt v.\nAnswer: -3384*o*v + 6*o - 24*v + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 13. Is 14 a factor of 6\/(-15) - (-614)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -376*a**2 + 124 + 142*a**2 - 410 wrt a.\nAnswer: -468*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6270 and 23826.\nAnswer: 119130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*d + d - 6888 = -52*d for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 34 (b) 13\/3 (c) 0.2 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 105, 5 in ascending order.\nAnswer: -1, 5, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587317?\nAnswer: 19, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 0.03 (c) 12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -1660943?\nAnswer: -1660943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1751368\/1743 or -1004?\nAnswer: -1004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -x + 4*a, x - 4*a = -3*x + 1108. Suppose 0 = 2*u + 3*u - x. Let w be (8 - 0)\/(16\/u). Round w to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3))**(40\/7)\/(u**(-2\/9)\/((u**(-1)\/u*u)\/u)) assuming u is positive.\nAnswer: u**(128\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a6a8 - 27a2?\nAnswer: -ce4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) 4\/7 (c) -0.5 (d) -2 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-1)\/((6\/5)\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q + 105*q + 27*q + (2 - 2 + 1)*(2*q + 0*q + 0*q).\nAnswer: 127*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3 = 3*l. Find the third derivative of -6*o**3 - l*o**2 + 2*o**2 - 3*o**3 + o**3 wrt o.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p**3*w**2 - 18480*p**2*w - 1164*p*w**2 + 2*p wrt p.\nAnswer: -24*p*w**2 - 36960*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8029883 to the power of 1\/2, to the nearest integer?\nAnswer: 2834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qiiw when four letters picked without replacement from didvddtqivww?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2. Let n(p) = 11182*p**2. What is n(j(q))?\nAnswer: 44728*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaagaaa. What is prob of sequence ag?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 + -80. Let u = v + -37.999838. What is u rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 3*n + 17. Let t be h(-6). Let z be (-7)\/4 + -2 + (2 - -2). What is the second biggest value in 3, z, t, -9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 6028?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13529066426 and 3.4.\nAnswer: -13529066422.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 14*q = 10*q + 18, 2*d - 4*q + 24 = 0. Put 4, 69, d in decreasing order.\nAnswer: 69, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 348 or 490?\nAnswer: 348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + 120. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -6\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-797)\/2391*4\/6*6\/34\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.033 times -490435\nAnswer: -16184.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w + 375. Let i = -44 + w. Let c = i - 21. Calculate the remainder when c is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = -812. Let v = 1329 + -594. Let u = v + r. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 125.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4.1 times -21706\nAnswer: 88994.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jua when three letters picked without replacement from {u: 7, m: 1, a: 8, j: 2, z: 2}?\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -27949.5072 rounded to the nearest 100?\nAnswer: -27900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 8:05 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 770.36 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/21 - (-20)\/(-70). What is the second biggest value in 8\/7, k, 2, -4?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, -1421, 52 in decreasing order.\nAnswer: 52, -98, -1421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 14039 and -7525 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 218.\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 197ab0 - -3?\nAnswer: 197ab3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101 + -1?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 2*j**2 + 2*j + 2. Let k be h(-3). Let w(f) be the first derivative of 7053*f - 3526*f + 255 - f**2 - 3529*f. Give w(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536742.9 litres in millilitres?\nAnswer: 536742900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -251 - -257. Solve -8*v - r = 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4\/7, -3, -15, 839 in decreasing order.\nAnswer: 839, -4\/7, -1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 11*i**2 - 4*i - 2. Let b be n(-11). Suppose -u + y + 7 = 4*y, 3*u + 2*y = b. What is the lowest common multiple of u and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 209960.3 kilograms?\nAnswer: 209960300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/340 less than -1605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 0)*-5 + sqrt(720) + 4 + -1.\nAnswer: -48*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 514 - 512. Sort 7, 3, n in descending order.\nAnswer: 7, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -0*l - l, s - l - 9 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1062, 2174, 3286?\n\"Answer: 1112*i - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 - 15*k - 5. Let r be (-16)\/(-2)*(-10)\/4. Is c(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -4*r - n - 29, 0 = -2*r - n - 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - 2100\/(4 + -104)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2973*g - 55456 = 16837*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4*sqrt(12))**2 + -4 + sqrt(192))*5.\nAnswer: 40*sqrt(3) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15067 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 281746 and 23449.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2736) + sqrt(2736) + (sqrt(2736) - -2*sqrt(2736) - sqrt(2736) - sqrt(2736)) + -1))**2.\nAnswer: -1800*sqrt(19) + 615625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a**3 + 123*a**2 - 307*a - 158. What is q(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60.892 + 0.108. Let l = n - 52. Let b = -20.3 + l. Round b to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -5. Let f(r) = -r**2 - 9*r - 6. Let v be f(p). Let m be v\/7*(-1)\/4. Is m != -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/150*(((-13)\/(-18))\/(-1) + 1).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1\/2, 1\/5, 0.53, 9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4571*w**4*x + w**2*x + 366*w*x + 4*x wrt w.\nAnswer: 109704*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from neewnrbenbnbn.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/11136 and -109\/129456.\nAnswer: 1035648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -191380068.\nAnswer: 191380071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -594 + 600. Let t be 2\/(-4) + 1928\/(-80). Let f = 25 + t. Which is the smallest value? (a) 0 (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/8 of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 5*z**2 - 6*z + 3. Let c be w(6). Suppose -3*a + 31 = 2*y, 6*y - c*y + a = 57. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174)\/(-203) + ((-394)\/(-4))\/((-294)\/(-84))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65 + w**2 - 22 - 77 as u + o*w + v*w**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/5415)\/(51\/15 + -3).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1574 + 5211. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from ltlmlmlmttm?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/779760 and -117\/320.\nAnswer: 3119040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56.856 + -0.144. Let r = -56.8 - x. Let k = -0.67 - -0.07. Put r, k, -1 in descending order.\nAnswer: r, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 3 - 1 + 2*x - 3*x - 3*x + 4*x + (0*x + 2*x - 4*x)*(4 + 3 - 5) - 5 - 3*x + 5.\nAnswer: -7*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z + 17*z - 7*z + 4. Let y(t) = t**2 - 34*t + 276. Let n be y(13). Let v(q) = -1. What is n*v(h) + w(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 12:54 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 241, 5, -4, -2, 3, -5.\nAnswer: -5, -4, -2, 3, 5, 24, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 360 = -437 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, a: 8}. Give prob of sequence oa.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 4 (c) -60 (d) -2\/9 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*a - 365 + 106 = 128 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 3*w**3 - 2*w**3)*(-15*w**2 + 28*w**2 - 92*w - 15*w**2).\nAnswer: 2*w**5 + 92*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k + 120. Let a be j(-20). Suppose 308 = 2*v - 4*l, -a*l + 15*l + 10 = 0. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1923 is divided by ((-175)\/30 - -8)*294.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5054 times 5.446?\nAnswer: 27524.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -75*p**3 - 5*p**2 + 5*p + 16. Let f(r) = -38*r**3 - 3*r**2 + 3*r + 8. Calculate 3*d(a) - 5*f(a).\nAnswer: -35*a**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/18)\/((384\/288)\/(-1*12)). Factor -15\/2*h + 7\/2 + 9\/2*h**c - 1\/2*h**3.\nAnswer: -(h - 7)*(h - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.044427*173.85.\nAnswer: -7.72363395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3672\/(-60))\/(-18) + 0 + -3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4730\/33 + (-1)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1\/32, -0.2, -743, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 4 - 1)*(-12 + 5 - 12) + 3 - 6 + 2)*(2*j + 2*j - 2*j).\nAnswer: 226*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 4\/9, -0.04, 14 in decreasing order.\nAnswer: 14, 4\/9, -0.04, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 80?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-5)\/(-2))*100\/30?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 232, 0.25, -3\/14, 0.2, 0 in increasing order.\nAnswer: -3\/14, 0, 0.2, 0.25, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**2 + 5*d + 58. Let u(o) = 7*o**2 - 17*o - 58. Let a(j) = 3*u(j) + 4*v(j). Find b, given that a(b) = 0.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03477 - 0.16523. Let f = 3\/44 + 61\/396. What is the second smallest value in -25, f, h, 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31474?\nAnswer: 2, 15737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 91724, 91730, 91738, 91748, 91760, 91774, 91790?\n\"Answer: d**2 + 3*d + 91720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8350 (base 10) to base 7.\nAnswer: -33226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -12. Is -3\/4 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 5*m - 2. Let h be z(6). Solve 0 = h*n - 4 - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 268341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 344315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14254 is divided by 637.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -20. Which is the second biggest value? (a) -1\/2 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -8*b + 11*b. Solve 4 = 3*z + 2*d - b, -3*z + 4*d = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211884265*n**3 - 482233536*n.\nAnswer: -1271305590*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -35*x + 2282. Give l(65).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 divided by 282244?\nAnswer: -93\/282244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 3*n - 91*h + 86*h, n = 3*h + 78. Suppose -3*q - 2*q = -550. Calculate the highest common factor of q and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*y = 167*y - 1185. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 13. Let d be s(0). Suppose 5*w - 127 - d = 0. Suppose q - w = -q. Calculate the least common multiple of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + k - 1. Let t(q) = 16*q**2 - 2*q - 40. Let y(o) = -2*a(o) - t(o). Differentiate y(g) with respect to g.\nAnswer: -28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (-29 + 50 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -50. Suppose 3*z + k = 1, -5*z + 3*z - 4 = -i*k. Calculate the remainder when 25 is divided by (z - (1 + 0))*(18 - 25).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111237, -111240, -111245, -111252, -111261?\nAnswer: -111272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + -10 + 15 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409614977?\nAnswer: 19, 4243, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 378\/(58 - 31)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvkvkvkkkkvvvvkvkv. Give prob of sequence zv.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8 = -2. Let z(g) = -g**4 + 2*g**2 - 3. Let p(y) = 2*y**4 - 3*y**2 + 4. Let d(i) = x*p(i) - 4*z(i). Find the third derivative of d(r) wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1128.45 * 1039\nAnswer: -1172459.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -3) + (-4 - -2) - 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + 9. Suppose i - 1 + z = 0. Let q = 57 + i. Calculate the greatest common factor of 24 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*(-2*sqrt(76) + -4 + sqrt(76)*-2*-5) + -3.\nAnswer: -80*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*sqrt(1573))**2 + 3 - (-1 + ((sqrt(1573) - (sqrt(1573) + 1))**2 - sqrt(1573) - sqrt(1573)) - sqrt(1573) - (0 + sqrt(1573) + -4)).\nAnswer: 44*sqrt(13) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (546\/(-10))\/((-9)\/45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000186293 rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 21098*h**2 + 98*h + 31. Is u(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (216 + 0)*15\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55608 and 4914?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 21*j + 164. Give x(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwwx when four letters picked without replacement from jawjxvjjjaxwwaj?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1538.7 - 1538. Sort 3, 2\/13, -12, d.\nAnswer: -12, 2\/13, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 2*c**5\/15 - c**4\/8 + 7*c**3\/2 - c**2. Let f(l) = 3*l**2 + 19 - l - 68 + 56. Let i(h) = -11*f(h) + 4*r(h). What is i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3 - 1 + 707*p + 2 - 703*p. Let l(v) = v - 1. Give l(s) - z(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1218 and -0.5.\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1276672 and 896?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202718448 to the power of 1\/3, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 221*p + 659. What is g(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 25*p - 50. Let f be s(-2). Suppose 2*q - q = -5*z + 4, -3*q + 2*z = -29. What is the tens digit of (5 - q) + f\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86 + 29 + 9)*(-3 + 3 + 2)*(a + 0*a - 2*a)*(2*a**2 + 5*a**2 - 3*a**2).\nAnswer: 384*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10022 (base 3) to base 10\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 105*q**2 + 159*q + 2719. Is r(-44) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -911*i**5 + i**4 + 11190*i**2.\nAnswer: -54660*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 - 18*y. Let x be (-7 + -7)\/(-7) + 4. Give t(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87342.8 times -120\nAnswer: 10481136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4057 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13453 or 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 10) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 203 = 2*a, 0*a + 2*a + 4*i - 168 = 0. Let k be (-136 + 1)*(-28)\/(-70). Let z be (-12)\/k + a\/(-18). Let j(s) = -s - 5. Give j(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 10. Calculate the greatest common divisor of y and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 17*g + 2. Let b(r) = r**2 + 3*r - 68. Let q be b(-10). Let t(m) = -17*m - 2. Let z(h) = q*t(h) + 3*l(h). Find the first derivative of z(w) wrt w.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4556?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -192 + 190.26. Let x = k + -0.26. What is the closest to 1 in x, -1\/6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/(946\/(-264))*(-154)\/(-693)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19700 and 180?\nAnswer: 177300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-279)\/(-217)*-1*(-14)\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccmmccccmcccccc. Give prob of picking 2 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 942 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 1 + 1. Let i(u) be the third derivative of u**7\/1260 - u**5\/12 + 13*u**2. Let w(k) be the third derivative of i(k). Give w(d(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 14*c + 4. Let o be w(-14). Suppose o*q = 170 - 30. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1190 and 9421230?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7176 divided by 69?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*s - 50*s - 36. Let r = s + -13. Solve -r*l - 32 = 4*u, 2*u = 2*l + l + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -926194*o**2 + 119920*o wrt o.\nAnswer: -1852388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 11763*d**2 - 11188125*d + 676496691.\nAnswer: -3*(d - 57)*(d + 1989)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n*q*w - 20*n*w**2 - n*w + 160*q*w**2 wrt q?\nAnswer: -2*n*w + 160*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/3 - -2)*((-353456496)\/32)\/(-83)?\nAnswer: 3, 29573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 25.7864829 and 0.103.\nAnswer: 25.8894829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*j**4 - 15 + 12*j - 12*j wrt j.\nAnswer: -44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48246, -48244, -48242, -48240, -48238?\nAnswer: -48236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 9 + 31)*(-s**5 + 0*s**5 + 2*s**5)*(-512 + 267 + 199).\nAnswer: -184*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10534.999995067 + -10535. Round l to 7 decimal places.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*q - 24 = 0, 0 = 2*z - 2*q - 2*q + 17770 - 17736 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 + 9*d**2 - 12*d - 2. Let a be w(-8). Put 5, 3, a in descending order.\nAnswer: 5, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*2)\/(213\/(-71))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-6)\/(-27))\/((-26)\/6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1248 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((2\/(-3))\/((-434)\/(-93)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven halves of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 866111.4 nanometers?\nAnswer: 0.0008661114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -533232 = -16*h - 14400. Suppose -h = -12*v + 3*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088896 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - ((-2)\/(-5) - (-107)\/(-5)). Let t = c + -12. What is the highest common divisor of 128 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 3 + -5 + 7 + -5. Let j = -31 + 31.1. What is the nearest to j in 0.1, d, -0.18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5777 + 9896. What are the prime factors of o?\nAnswer: 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708452167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00525537 rounded to 6 decimal places?\nAnswer: -0.005255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-7 + 5)) + (-2258)\/(-2760). Let p = -13\/1035 + j. What is the common denominator of p and 27\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 225*q**2 + 10678*q - 132. Calculate i(68).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -5158.\nAnswer: 3\/5158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.3. Let t = -88.5 - -89. Sort c, -3, t.\nAnswer: -3, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20807?\nAnswer: 20807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114632 by 18.\nAnswer: -57316\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y - 4. Let r(k) = -21*k + 11. Let c(l) = -11*p(l) - 4*r(l). Let a(n) be the first derivative of n**3\/3 + 1. Calculate a(c(s)).\nAnswer: 49*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + ((-286)\/(-104) - (-1 + 3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(176) + (sqrt(55)\/sqrt(5))**2*6 + 1 + ((sqrt(11) + -1)*-5 - (sqrt(11) - (0 + sqrt(891)))**2)).\nAnswer: -1896 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9\/11)\/(a\/(a\/(a\/a**7)*a)*a))\/(a**(-7)\/(a*(a\/(a\/((a**(-19)\/a)\/a))*a)\/a*a)))**(-1\/13) assuming a is positive.\nAnswer: a**(75\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**2\/11 + 1214*o\/11 + 12340\/11 = 0.\nAnswer: -10, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 11.351.\nAnswer: 16.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 70925 and 0.09?\nAnswer: 6383.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -305331, -1220755, -2746461, -4882449, -7628719?\n\"Answer: -305141*y**2 - y - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w - 19. Suppose 6*o + 14 = 4*o. Let r be x(o). Solve 4 = r*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 17*i**2 - 7. Let t be x(18). Suppose -6*o - t = -3*l - o, 2*l = 3*o + 212. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163570 to the power of 1\/2, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7379\/480 - -123\/8. Let b(o) be the third derivative of 0*o**5 + 0 + 0*o + 0*o**3 - 5*o**2 + 0*o**4 + r*o**6 + 1\/840*o**7. Let b(t) = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 23*u**3 + 162*u**2 + 360*u.\nAnswer: u*(u + 5)*(u + 6)*(u + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 11 - 6*y**3 - 3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huhu when four letters picked without replacement from ulqhholu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 0 + 1\/3*x**3 + 5*x - 11\/2*x**2. Let u be n(13). Solve 4*c - 7*c = -u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5184 and 205443.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7686 - -7889. Solve 0 = -3*t - 185 + l for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.68 + -80.89. Let l = w - -52. Let v = -0.21018 - l. Round v to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -219.869 + 220. Let n = j - 0.129. Let l = n - 2.602. Is -3\/4 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*d + 21*d - 128. Calculate the remainder when 55 is divided by (d\/10 + -3)*95.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/3*-3 + -2. Let i be (-155)\/q - (-2)\/(-8). Let o(x) = -x**3 - 8*x**2 - x + 6. What is the tens digit of o(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1)*u**9*u*u**(-2\/9)*u**(-5) assuming u is positive.\nAnswer: u**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 58 - (-4038 + 4038)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 181 = -47. Suppose 4*w + 27 = t. Let r be (0 - -2)*10\/4. Solve 2*c - r*s - 4 = 0, 9*c - 4*s = 4*c + w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -127 - (-1 - (-2)\/(-2)). Let w = s - -180. What is the greatest common factor of w and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 2. Suppose 7 + 17 = -4*z. Let p be t(z). Is 12\/p + 460\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(sqrt(36)\/sqrt(3)) + sqrt(2) + sqrt(2) - sqrt(2))*-5)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 1. Let y be v(0). Let f = 2799\/530 + -53\/10. Which is greater: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(539)*-1*-6 - (sqrt(539) + -6*(sqrt(539) + 1))))*1)**2*4.\nAnswer: 3080*sqrt(11) + 260976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -41647.1*0.2\nAnswer: -8329.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, -701, -2795, -6869, -13583, -23597, -37571?\nAnswer: -56165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 447133\/22 - 20320. Let g = 1085 + -10763\/10. What is the common denominator of v and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, p: 1, e: 1, z: 1, l: 1}. What is prob of picking 1 p and 1 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/35)\/(21\/49)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(325))**2*1 + (2*((sqrt(143)*1 - sqrt(143)) + sqrt(143))\/sqrt(11))**2)*-3.\nAnswer: -1134 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6301693565 to the power of 1\/2, to the nearest integer?\nAnswer: 79383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21809 - 697943\/32. Find the common denominator of s and -121\/6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a + 3. Let d(h) = -h**3 - 6*h**2 - 4*h - 1. Let v be d(-5). Let t be q(v). Calculate the highest common divisor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 5*m - 2*m - 61 - 6*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7728 - 4366. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -233 (base 4) to base 12.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*p + 1 + 70*p + 68*p - 1.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034195 divided by 5?\nAnswer: 206839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 3\/7 (c) 0.773 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85007 divided by -22?\nAnswer: -85007\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 22*j - 121. Let l be a(-11). Are 3\/697 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 + 238. Suppose 3*w = -w + n. Suppose 0 = -3*r - r + w. What is the greatest common factor of 80 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -45 - 130. Suppose -29*h + t*h = -44. Solve -1 - h = -3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 + 2*b**4 + 91 + 31 + 2*b**4 + b - 5*b**4 - 14 to k*b + w*b**3 + l*b**4 + q + i*b**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29878 (base 15) to base 9.\nAnswer: -223155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n + 3*n - 2*n)*((-11 + 3 + 1)*(2 - 5 + 2) + (-4 + 2 + 4)*(-3 + 0 + 2)).\nAnswer: 35*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Let c = -275 + 278. Let y be z + (-6)\/(1 - c) + -3. Solve 0 = y*v + 3 + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -539, -1198, -2117, -3296?\nAnswer: -4735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 1. Let k = -238 - -237. Let h be 78\/(-72) + k\/(-3). Which is the smallest value? (a) h (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + u**2 + 2*u**2)*(5*u + u - u) - 3*u + u**3 + 3*u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkbbkbkbbkbbbkb. Give prob of sequence bkk.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 325 + -313 + (-2 - (-1 + -5)) + -19?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f = -10, 4*c = -4*f + 44576. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 5*p + 7. Let m be (5 - 3)*10\/4. Let z be c(m). Let r(b) = -b**2 + 9*b - 7. Is 6 a factor of r(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2574 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f**2 + 18*f + 7. Let o(v) = v**2 + v + 1. Calculate -5*o(g) + x(g).\nAnswer: 2*g**2 + 13*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1764 - 1062 + 53*d - 1064 + 158.\nAnswer: 53*d - 3732","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. Suppose 123 = t*r + 3*f, -3*f = -r - 0*f + 25. Calculate the remainder when r is divided by 1*(14 + (3 - 4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 h when three letters picked without replacement from {r: 8, j: 5, h: 5}.\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b = 115. Suppose -n + 2*n - 33 = 0. Suppose 0 = 5*u - u - 8, 23 = 5*t - u. Solve 2*y - t*v - n = 0, -2*y + 4*v + b = v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.265 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(121)\/(-3*sqrt(1331)).\nAnswer: -2 - sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, i: 2, u: 2}. Give prob of sequence unn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 4*h, -387*k + 3*h = -382*k - 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7725*j**2 - 33*j + 25 wrt j?\nAnswer: -15450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -22, -2, -7, 3, 6, 5 in decreasing order.\nAnswer: 6, 5, 3, -2, -4, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q + 1. Let l be (-7)\/28 - (-10)\/8. Let d(h) be the first derivative of 5*h**4\/4 - 3*h**2 + 6*h - 1. Determine l*d(u) - 6*g(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + (-7)\/((-70)\/282060) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 986 divided by 4\nAnswer: 493\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658.6511mm to micrometers.\nAnswer: 658651.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.009 + -0.209. Let x be (2 + 17)*9\/12. Let j = x - 14. Put j, g, 3\/8 in decreasing order.\nAnswer: 3\/8, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5950.4 rounded to the nearest 10?\nAnswer: -5950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(162\/(-56)) - (-1)\/(-9). What are the prime factors of (-2)\/g*246*4\/(-16)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldc when three letters picked without replacement from dddgdcdrlclcl?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42446?\nAnswer: 2, 19, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 z when three letters picked without replacement from bnuzabf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 9. Suppose 3*o = -q + 102. Solve -4*m - o = 3*s, 3*m - s + 10 + 3 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3725735 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmtm when four letters picked without replacement from {t: 3, m: 5, b: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + 0. Suppose -c + 41 = 3*k - 6*c, k - w = 2*c. Solve -k = 5*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1000111111110011001101?\nAnswer: -1000111111110011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 280*b**2 - 2*b**3 + 17\/30*b**5 + 1\/24*b**4 + 0*b + 0. What is the derivative of s(w) wrt w?\nAnswer: 68*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9369 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*k**3 + 146*k**3 - 243*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x - 16. Determine u(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awzp when four letters picked without replacement from apzwlwj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 300 - 295. What is the fourth biggest value in 0.1, 0.4, j, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(35\/4)\/v)\/v*v**(-32)*(v*v\/v**35)\/(v**3\/v*v))**(-2\/59) assuming v is positive.\nAnswer: v**(245\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 841942 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v**2 + 28. Let o(d) = 8*d**2 - 24. Let n(g) = -7*o(g) - 6*t(g). Let s(y) = 36*y**2 + 5*y. Calculate s(n(w)).\nAnswer: 144*w**4 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.5 (b) 95 (c) 4\/3 (d) -0.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 - 5*g)*(2*g**3 + 4*g**3 - 4*g**3).\nAnswer: -10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**4\/3 - 175*d**3 - 1214*d**2 - 8300*d\/3 - 2072 = 0.\nAnswer: -518, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 25*f - 148. Let b be m(6). Solve 3*h + a = -b*h + 26, h = -3*a + 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Let c be 1\/(((-3)\/(-13))\/b). Suppose 4*j + k = c, 6 + 1 = -2*j - 5*k. Solve -j = 2*h - h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6131 bigger than -6106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 2*n = -5*v - 2198, 1310 = 3*v - n. Let g be 2\/(-3)*v\/(-4) - 1. What is the third derivative of 13*h**2 + 63 - 135 + 15*h**4 + g wrt h?\nAnswer: 360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**3 + 4*k**2 - 8*k + 5. Let r(i) = -i**3 - i. Let m(f) = -g(f) + 6*r(f). Let p be m(4). Which is smaller: 24\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7644 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1 (b) 2 (c) 5 (d) -2\/377\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3476308 is divided by 204488.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(-1\/6))*y**(5\/4) assuming y is positive.\nAnswer: y**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 230216 + 0.16?\nAnswer: 230216.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 13*p + 4*u, 4*u - 2 - 16 - 31 = 9*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*z + 4*k, -4 = 3*z - k - 0. Let o(i) = 5*i**3 + 3*i**2 - 3. Let q = 5 - 6. Let j(n) = -n**3 - n**2 + 1. Calculate q*o(y) + z*j(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - (7 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-6)\/(-39))\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 33. Let v be 1\/(-3) + 14\/x. What is the closest to -1 in v, -3, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 3*v + 3*v)*(0*v**4 + 4*v**4 - 2*v**4 + 1).\nAnswer: -4*v**5 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*z**4 - z**4 - 14*z**4)*(-4 - 3 + 4) to the form s*z**3 + w + v*z**2 + h*z + u*z**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/20*5\/(-5))\/((39\/13)\/465).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - h**2 + h**2 + (3*h**2 - h**3 - 3*h**2)*(6*h**2 - 90 + 90) + 5*h**5 - 3*h**5 - 1 + 2*h**5.\nAnswer: -h**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00036105705 to six decimal places.\nAnswer: -0.000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pncx when four letters picked without replacement from cnpkxckbppc?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.8. Let s = -2.25 + -10.85. Let k = s - -13. What is the nearest to 1 in 5, a, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*u**4 + 2*u**3 + 53*u**2 + 16*u - 1.\nAnswer: -108*u**2 + 12*u + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 12:01 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**2 - 2. Let r(p) = -9*p**2 - 5. Let b be (-16)\/40 + 17\/5. Let z(u) = b*r(u) - 7*g(u). Let x be 2\/(-7) + 36\/(-21). Give z(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*v**5 - 290*v**3 + 26*v**2 - 688*v + 1268 wrt v.\nAnswer: -480*v**3 - 1740*v + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 z, and 1 c when three letters picked without replacement from gzgcgluggguuugcggg?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -2 - (-12 + (-3 - -5))) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**3*y**3 - 60444*u**3*y - 76*u**3 + 297887132*u*y**3 wrt u.\nAnswer: -6*u*y**3 - 362664*u*y - 456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 3695.\nAnswer: -2\/3695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 11*r**2. Let f(q) = 4*q**2. Suppose -7*i - 24 = 32. Give i*f(d) + 3*y(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -553 + 2269 = 924*o - 1056. Suppose 1\/3*t**4 + t**2 + 0 + 1\/3*t + t**o = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/66 and -49\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least 5784\/1591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2240)*-3)\/sqrt(7) - -6*(sqrt(180) + -1 + sqrt(180) + sqrt(180))*-1.\nAnswer: -132*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i - 4*i + 1 - 11*i + 3*i + 50*i**2 + 23*i**2 in the form f*i + c*i**2 + y and give c.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1454133 or 1454131?\nAnswer: 1454133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 3\/5 (c) -1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10818*i + 10796*i - 94 = 214 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*y - 773 = 6163, 0 = -3*y. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14908.33054 to the nearest one hundred.\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477.25 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -130 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2 = 4*v - 5, 6 = v + 3*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/15)\/w)**(-1\/31) assuming w is positive.\nAnswer: w**(13\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2471 less than -0.0798?\nAnswer: -2471.0798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -19, 0.023, -3?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 557573 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 209 and 208 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.1, 0, -3, 1\/4 in ascending order.\nAnswer: -3, -0.1, 0, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 550353710.0000074 + -550353664. Let s = -37 + 83. Let w = s - p. Round w to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = 4*m + x, -4*x + 4*x - x = -5*x for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccciccciicicu. What is prob of sequence cc?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**3\/6 + 42*a. Let x(b) be the second derivative of -16*b**3 + b**2 + 573*b. Give x(m(t)).\nAnswer: 96*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 bigger than 7508718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15283 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2284350?\nAnswer: 2, 3, 5, 97, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/236 and 61\/826.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18063 and 24216462?\nAnswer: 72649386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (-1 + 160\/8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 35*l**2 + 15*l**2 + 8*l**4 - 73*l**4 + 18*l**2 + 1 + 0 to the form t*l + x*l**2 + b*l**4 + p*l**3 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -412 + 420. Suppose -3*z = -3*b + 18369, -18371 = -3*b - 4*z + a*z. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -82125, -82104, -82083, -82062?\n\"Answer: 21*k - 82146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62057539, -124115078, -186172617, -248230156, -310287695?\nAnswer: -372345234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/6)*(x**(-9)\/x)\/x)\/(x**(2\/5)\/(x*x\/x**(1\/11)*x)) assuming x is positive.\nAnswer: x**(-2747\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 106961531 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.026662\nAnswer: -0.0026662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 19*h**3 + 2*h**2 + h - 1. Let j be l(4). Find the second derivative of 1244 + 11*k - 9*k - 181*k**2 - j wrt k.\nAnswer: -362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4210 + -412. Is w a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 255 and 1305?\nAnswer: 22185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35 + 5\/2*v**3 + 115\/2*v - 25*v**2.\nAnswer: 5*(v - 7)*(v - 2)*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nav when three letters picked without replacement from jlvvljlvanwjwwwnj?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 58 = 3*w. Let l(o) = -o**3 - 3*o**2 + 5*o. Let t be l(-4). Let q = 31 + t. What is the remainder when q is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240942 less than -2161104?\nAnswer: -2402046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**10\/5040 - a**6\/120 + a**3\/3 - 2*a. Let v(w) be the second derivative of x(w). Find the third derivative of v(o) wrt o.\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -9.88\nAnswer: -49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4631 and 20852551?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 154076693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 244 - 241. Solve -6*c - 9 + j = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 1b666674?\nAnswer: -1b66666a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 8:06 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 6*c**2 + 4*c + 6. Determine b(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3.60585763721 + -1\nAnswer: 2.60585763721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -841410 and -841327 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -525, -1048, -1573, -2100?\nAnswer: -2629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/6 and (-298)\/372 + (-33)\/198.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/3*((-16)\/(-12))\/(-2). Let 4*p**4 - 5*p**2 + 5*p**2 + 0*p**d - 4*p**2 + 8*p**3 - 8*p = 0. Calculate p.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 5*g + 3. Let y be u(6). Let c = 14 - y. Suppose -5*h + 4*m = 5*m - 45, -21 = -2*h - m. Solve 5*j + c = -z, -z - z - j = -h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(110)*1)\/(sqrt(40)\/sqrt(4)*5).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*d**2 - 1130*d**3 + 19*d**2 - 4*d**2 - 510*d**3 - 1730 - 4*d**2 wrt d?\nAnswer: -4920*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/10)\/(3 + (-423)\/140).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4356*i**2 - 295 + 295.\nAnswer: 4356*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4482198 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001973985 to five dps.\nAnswer: 0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*m + 24370*m**3 - 55145*m**3 + 30777*m**3.\nAnswer: 2*m**3 + 91*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.111 - -0.411. Let m(h) = -h**2 + 1 - 3*h**3 + 3*h + 5*h**3 + 5*h**2. Let z be m(-2). Which is the second smallest value? (a) -4 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -441 - -443. Suppose -2*k = -0*k - 48. Solve 2*u + 6 = x, -2*u - k = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -856?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s + 15. Suppose 3*r = s*n, n + 0*r = -2*r. Solve -3*c + c - 6 = n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/30 in 4, 2\/9, 0.4, -6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/145 (b) 0.1 (c) 1 (d) -3\/2 (e) -1.27 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8437 + 1103. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9991, 36415, 80455, 142111, 221383?\nAnswer: 318271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 6*j**2 - 5*j + 1. Give q(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -154620, 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 67*k + 1683. Let r be v(-25). Solve -9 = -r*l + 31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 14 = 5*j + 11, 0 = 2*s - 3*j - 17. Let g = 27 - 20. Solve 2 = -d, 0 = -3*o + g*o - 5*d + s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 12*a**2 + 11*a + 6. Let u be h(-11). Let s(y) = 13 - 13 + 37 - 9 + 7*y. Is s(u) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 37543709 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -993 - -1109. What is the highest common factor of 1247 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - z - 2. Let l be v(3). Suppose -l*t + 14 = -6. Find the first derivative of -10*n + t - 6 - 5 + 2 wrt n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2\/9 + 2560*p\/9 + 21841600\/3 = 0. Calculate p.\nAnswer: -3740, 4380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 8*g**2 + 11*g - 3. Calculate the least common multiple of z(9) and 56*2\/16*(-18)\/(-14).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21139 - 21138.9999966215. What is t rounded to seven decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k + 114. Calculate m(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 5*j**2 - 4*j - 1. Suppose -20 = -5*z - 0*z. Suppose l = -h + 8, z = -2*l + 3*l - h. Determine p(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.4 (b) 0.3 (c) 9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 432*w**2 - 116*w.\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.4 (b) -25 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -16642778 to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -20*o**3 + 2558304*o**2 - 49112140*o + 9720096 = 0.\nAnswer: 1\/5, 19, 127896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/6*(-6)\/2. Let p = x - -5. List the prime factors of -2*6*p\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 70 = 5*h, c + 4*c = -4*h - 56. Let d = h - -23. Suppose 0*n = 4*n - 20. Solve -17 = -n*f - 2*a, 4*f - a = 3*f + d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-38)\/(-1 - 1\/(-2)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24657.8ml?\nAnswer: 24.6578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 465 + -410. Suppose 135 = -2*d - 3*d. Let f = d + m. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1288903 - -4?\nAnswer: 1288907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 39 = 123. Let s be 1\/7 - 408\/b. Suppose -3*i + 24 + 0 = c, 0 = -2*c - s*i + 48. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 1. Let t(f) = -11*f - 16. Let z(m) = 4*a(m) + t(m). What is the tens digit of z(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5\/3)\/b)\/(b\/(b\/((b*b*b**(-15)*b)\/b*b)*b)) assuming b is positive.\nAnswer: b**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 30*k = -99. Let w be 287\/(-82)*(k + 1). Calculate the greatest common factor of 1372 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**41*i**(-39)*i*i**(2\/9)*i*i**35 assuming i is positive.\nAnswer: i**(353\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 236\/(318\/45*-7). Let y = 310930\/371 - j. Let f = y + -65250\/77. What is the common denominator of f and 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 27*c + 147 = 0, -5*x - 40 = 1095*c - 1100*c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 25 = -5*o + 10*m, 5*m = 3*o - 7 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113354 (base 6) in base 14?\nAnswer: 3846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 594806.3cm in millimeters?\nAnswer: 5948063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3388) + -3*(sqrt(3388) + sqrt(3388)*2))\/(sqrt(16)\/(sqrt(144)*2)))**2 + 0.\nAnswer: 7805952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*3*-4 + 3*2*sqrt(153))\/((sqrt(144) - (sqrt(144) + (sqrt(144) - (sqrt(144) - (-5*-1*sqrt(144) + sqrt(144)))) + sqrt(144) + sqrt(144)))*1).\nAnswer: 3*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168\/5, -2, -4, 1, 2 in increasing order.\nAnswer: -168\/5, -4, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**5\/20 - t**4\/6 - t**3\/6 + t**2\/2 - 22*t. Let g = 11 + 7. What is the remainder when a(5) is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*q = -2632 - 3205 - 7519 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 35*j + 277. Let h(m) = -53*m - 415. Let v(d) = 5*h(d) + 7*p(d). What is the derivative of v(w) wrt w?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 2*t - 2*t + (3*t - 3*t + 2*t)*(-1 + 6 - 3))*(-t + t - 2*t) to the form o*t + p*t**2 + x and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(5\/3) + 1715\/(-25). Calculate the remainder when (1294\/4)\/(v\/(-136)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -454 + 475. Let q(x) = 9*x**2 - 3*x + 5. What is the remainder when q(2) is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 6*b**2 - 4. Let v be z(6). Let a(f) = -725*f - 8701. Let q be a(-12). Suppose 2*y = -3*y - 25. Sort y, q, v, 1 in decreasing order.\nAnswer: 1, q, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*c + c - 99 = 115 + 710 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3 - 2. Let q(n) = -2*n + 3. Let c be q(v). Let s(g) = g**2 + 6*g - 2. Let o be s(c). Solve -4 = -o*h + 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/(24\/10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3497110324 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 + 212. Let a = -1019\/9 + k. Put 0, a, -4 in descending order.\nAnswer: 0, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -262359*p**4 - 2*p**3 - 308*p**2 - 29*p wrt p?\nAnswer: -6296616*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080*g + 15268 + 15448 = -3844 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*o = -138*o - 384. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635187435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c915ea8 - -4?\nAnswer: -c915ea4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k**2 + 130*k**2 - 17*k**2 - 1 + 0 + 0.\nAnswer: 98*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 2*l + 8 = 0, 5*x - 3*l = l + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from {w: 2, b: 5, i: 6, r: 2, o: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138135.\nAnswer: 5, 227627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -30. What is the greatest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z - 13. Let g be j(4). Suppose g*q - 10*q = -6. Let p(i) = 7*i**3 - 8*i**3 + 2*i + q + 5*i**2 - 4. What is p(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6 (b) -0.1 (c) -1 (d) -4 (e) -19 (f) -20\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-33)\/3)*((-1)\/21)\/1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241758015366.084 plus -5?\nAnswer: -241758015371.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2. Let q be k(2). Suppose p - q = 3*n, -5*n - p - 20 = 2*p. Does 5 divide ((-30)\/(-8))\/((-1)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2)*(-6)\/18*18. Find the second derivative of 11*w**5 - 5*w + o*w + w**5 wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18166 (base 15) in base 8?\nAnswer: -230172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t - 4*k + 14, 5*t - 17 = -k. Let o be 11\/t - (-10)\/(-15). Solve -12 = -2*h + 3*c - o, -4*c = 5*h + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r - 5*g = -46*r + 109238, 4*g = -r + 36390. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - 2*a**3)*(0*a + 5*a - 3*a) + 125*a - 125*a - 37*a**4.\nAnswer: -41*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -293, -2354, -7953, -18860, -36845, -63678, -101129?\n\"Answer: -295*m**3 + m**2 + m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16, -9, -2, 5?\n\"Answer: 7*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-62)\/(-217))\/((-3)\/(-105))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47331.783 nanoseconds in hours?\nAnswer: 0.0000000131477175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 + 1904*i**3 - 453152*i**2.\nAnswer: -2*i**2*(i - 476)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -483 + 487. Solve 2*t + 20 = j*a, t + 4*a - 4 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -82, -76, -66, -52, -34, -12, 14?\n\"Answer: 2*r**2 - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + a**2 - a. Let g be o(1). Let s = -64 + 58. Which is bigger: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 40 - 510. Let o = 2587\/11 - q. Let w = -0.85 + 0.95. What is the nearest to o in -2\/7, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212581?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 2. Suppose i = -4*u - 13, -5*i + 24 = -u + 5. Suppose 273 = i*t - 3*z, -5*t - z + 281 = -f*t. List the prime factors of t.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21413621 (base 7) to base 16\nAnswer: 1c02b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28089608.\nAnswer: 2, 3511201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3235 is divided by 76.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 451, -2, -4, -6, 5, 3, -1 in decreasing order.\nAnswer: 451, 5, 3, -1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = -3. Suppose q - 8 = -4*p, -2*p - 26 = -5*q + 3*q. Suppose g + q = 2*g. Calculate the highest common factor of r and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, k: 6, p: 1, l: 3, z: 2}. What is prob of picking 2 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 3 + m**2 - m**4 - 9524009*m**3 + 9524009*m**3 - 3 to j*m**2 + b*m**4 + i*m + l*m**3 + p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**7\/105 + 7*w**6\/60 - w**5\/5 - 8*w**4\/3 + 32*w**3\/3 - 48*w**2. Factor k(r).\nAnswer: -2*(r - 4)**2*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -23*s + 2. Let r(o) = 12*o - 1. What is -2*b(y) - 5*r(y)?\nAnswer: -14*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2161*t**3*z**2 + 216*t**2*z**2 - 348320*z**2 - 1 wrt t?\nAnswer: 6483*t**2*z**2 + 432*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (10 - (-2 - 1)). Let i(d) = 7*d**3 - 13. Let q(z) = 21*z**3 - 38. Let r(n) = h*i(n) + 4*q(n). What is the first derivative of r(w) wrt w?\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -10*g + 18. Suppose 0*m = -5*m + g*n + 285, n - 57 = -m. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.14064 * -24\nAnswer: -51.37536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000433544 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**3 - n**3 + 2*n**3)*(4 + 3 + 18)*(-2*n - 2 + 2) to the form r*n + p*n**4 + d + h*n**2 + t*n**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 9. Calculate c(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2792347986?\nAnswer: 2, 3, 883, 527057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/4*(-12)\/(-9). Let b = -12 - -34. Calculate the smallest common multiple of 16*(u + (-2 - -1)) and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-88)\/132*(-57)\/18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 747 and 176209.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**3)\/f)\/f*f)**(2\/31) assuming f is positive.\nAnswer: f**(6\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 2*b**2 + 2*b + 1. Let z = -5 + 4. Let y = -2 - z. Is k(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 8*l**2 + 320*l. Let p(a) = 5*a**3 - 32*a**2 - 1281*a - 1. Let u(q) = -2*p(q) - 9*v(q). What is the second derivative of u(m) wrt m?\nAnswer: -6*m - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 82.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 443992781 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d + 238 = 0. Calculate the greatest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*x - 194*x = 135. Let d = -27 + x. Suppose -4*z + 5*y = 4*y + 11, 0 = 5*y - 15. Sort d, -3, z.\nAnswer: -3, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.011 - -5.011. Which is the fourth smallest value? (a) x (b) -0.1 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 92*c. Suppose 14*s - 26 = 2. Let n(h) = -7*h**2 + 8*h**2 - 2*h**s. Calculate n(a(j)).\nAnswer: -8464*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33606, -33491, -33166, -32523, -31454, -29851, -27606?\nAnswer: -24611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2365 - 2305 = -5*w - o, -66 = 8*w - 2*o for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -59*i + 4. Let v(x) = -3*x**2. Give v(z(q)).\nAnswer: -10443*q**2 + 1416*q - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Is (-1182)\/(-2) - (o + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133515 divided by 31?\nAnswer: 36565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.027 and -9411514323.\nAnswer: -9411514323.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1299*-2.39.\nAnswer: -3104.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -12 + 124\/10. Let v = 0.14 - -1.86. Suppose 5*a = -5*d + 15, a - 2 - 6 = -2*d. Sort n, v, -3, d in decreasing order.\nAnswer: d, v, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 5:01 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 25*v + 2729 + 19139 = 0. Calculate the remainder when v is divided by 141.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**4\/3 + 9552*a**3 - 205463447*a**2\/3 + 820812916*a - 2393062980 = 0.\nAnswer: 5, 7, 14322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.18 - 23. Let w = -0.18019 + v. What is w rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4875 - 8340. Let r = -6065 - s. Round r to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-51 + 2 + -4 + 1 - (13 - 15))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134439091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2132\/9675 + -2\/1075. Let o = -0.51 + 0.21. Which is the second biggest value? (a) n (b) -5\/4 (c) o (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**(-2\/13)\/c)\/c))\/(c\/((c\/(c**(-36)*c)*c)\/c)))\/(((c**(-1\/6)\/c)\/c)\/(c\/(c*c**(-1\/8)))) assuming c is positive.\nAnswer: c**(12619\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 50 = -2*p + 38, 5*z = -4*p + 148. Suppose v - 42 = -5*q + 28, v = -2*q + z. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, s: 1, m: 1, n: 5, e: 2, o: 1}. Give prob of picking 1 s and 1 o.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 1\/3 (b) 0.1 (c) -1\/4 (d) -2.2 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -3, 55755 in increasing order.\nAnswer: -3, -2, 2, 55755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404, 413, 436, 479, 548, 649?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1785513 and 2622.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 i when three letters picked without replacement from {c: 2, i: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487*z**2 - 167*z**2 - 172*z**2 - 161*z**2.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 720970949 a multiple of 997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*b - 8, 0 = 4*y - 2*b - b - 44. What is the highest common factor of y and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000034792 rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1331 (b) 433 (c) 4 (d) -1 (e) 2\/11 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -375 + 371. Let c be (-5*f\/30)\/(10\/15). Calculate the greatest common factor of 11 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (-13 + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbaosiabaiaiiisiaa. What is prob of picking 2 b?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uruuzuiuizuuruizu. Give prob of picking 3 z and 1 i.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 292 and -0.919.\nAnswer: 291.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 815142824 to the power of 1\/3, to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 11:13 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83 + (-2 - -4 - (-1 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153962 and 345.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-12)*-3*(-24)\/(-72)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -21. Let u be 167\/13 + -3*(-2)\/39. Factor -3*j + 9*j - 2*j**3 - u + 1 + s.\nAnswer: -2*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*f + 101 = 30, 0 = f + 2. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*j + 22, -3*j + 0*j + 43 = -5*i. Let o = j + -18. Suppose -l = -1 + 4. Sort l, o, 9 in ascending order.\nAnswer: l, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*g - 22 = 0, -5*g = 3*x - 8*x + 5. Determine k so that -5*k + 7*k**5 - 3*k**5 + x*k - 8*k**4 + 8*k**2 - 4*k**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2 - 489*h - h**2 + 248*h - 18*h**3 + 1 + 239*h. Calculate o(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1068\/(-3916))\/((-30)\/44)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -1. Let x(w) be the second derivative of 7\/15*w**v - 3*w - 15\/14*w**4 + 0 - 2\/5*w**5 - 4\/7*w**2 + 4\/3*w**3. Solve x(m) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15 - (-1248)\/(-195)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 12*v + 36. Calculate s(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -11314*w**2 + 22655*w**2 - 11320*w**2. Let o(d) = -127*d. Give o(q(c)).\nAnswer: -2667*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.344 (b) 0 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}