diff --git "a/data/dm_maths/full_data_1/192_11255.jsonl" "b/data/dm_maths/full_data_1/192_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/192_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What are the prime factors of 5258340?\nAnswer: 2, 3, 5, 131, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -398*h - 504*h + 5470 - 1862 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 3*x**2 + 68*x - x**2 + 66*x - 119*x.\nAnswer: 2*x**2 + 15*x - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 8*x + 4. Let j be a(8). What is the first derivative of d**j - 1 - 3*d**3 + 3*d**3 + 3 wrt d?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2889 + -2893. Which is the nearest to z? (a) 0.06 (b) 1 (c) 0.5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33328 + 486*o - 33328)*(-2*o + 1 + o + 1).\nAnswer: -486*o**2 + 972*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - q**3)*(-13 + 12 - 4*q - 2*q).\nAnswer: 6*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1*4)\/(sqrt(21)\/sqrt(243)).\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-3\/11)*y*y\/((y*y\/(y**(-4\/23)*y))\/y)*((y**(-1\/4)\/y)\/y)\/((y*y*y**2\/y*y)\/y) assuming y is positive.\nAnswer: y**(-2729\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -498558, -996640, -1494732, -1992840, -2490970?\n\"Answer: -c**3 + c**2 - 498078*c - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -5*t, 13*t - i + 6*i = 9*t + 2*i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1003216, 1003191, 1003164, 1003135, 1003104?\nAnswer: 1003071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 6:35 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4927 - -4939. What is the smallest common multiple of 585 and i?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178*c**5 - 12*c**4 + 5365*c.\nAnswer: 3560*c**3 - 144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13655621 (base 7) to base 13.\nAnswer: 362a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*g**5 - g**4 + 4*g**3 - 4118*g**2 wrt g?\nAnswer: -3360*g**2 - 24*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 - 160 = n. Calculate the smallest common multiple of n and (363\/(-99))\/((-1)\/15).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 148 + 22 + -98.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -4)*(4 - -5). Let k(o) = -o - 2. Let g be k(m). Solve 3 = -2*v - g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/189 and -19\/4500?\nAnswer: 94500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2086*z**3 - 48*z**2 + 10*z - 5. Let p(v) = -9*v**3 + v. Let u(w) = -2*g(w) + 18*p(w). What is the third derivative of u(b) wrt b?\nAnswer: 24060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*j = -4*j - 14, j = 4*b - 21. Let y(n) = -n**2 - 6*n + 9. Let h be y(-7). Sort h, -5, b in descending order.\nAnswer: b, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/(-22) - 1116\/2046. Let l(h) be the third derivative of -h**6\/120 - h**5\/15 - h**4\/8 - h**2. Give l(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8 = 2*g + 2*p, 0 = 5*g + 3*p + 25. Let j be 6\/(-4) + (-21)\/(-2). Let o = j - g. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 1216 in descending order.\nAnswer: 1216, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 334 + -326. Solve k = m - 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 4*w + 3*w + 4*w - w - 5*w + (0*w + w - 4*w)*(4 + 3 - 4) + w + 0*w + w)*(5 - 5 - 4) as x*w + a and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2 - 6346*b + 5861328 = 0. What is b?\nAnswer: 1122, 5224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1300 not equal to 0.1478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*d = 10*d - 794334 - 343046. List the prime factors of d.\nAnswer: 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 33 + 5*n**3)*(16 - 11 + 164*n - 4).\nAnswer: 820*n**4 + 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9112 + -9112. Solve -4*j - 5*y - 10 + 4 = a, -5*j = 3*y + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4 - 3*m + 3 - 5. Let b = 11 - -13. Let k = b - 3. Let v(r) = 30*r - 21. Give k*f(h) + 2*v(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 368811\/44 - 8382. What is the third biggest value in 4, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, 9062 in increasing order.\nAnswer: -5, 11, 9062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 60b755 (base 13) to base 10\nAnswer: 2253178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3699547, -3699546, -3699545, -3699544?\n\"Answer: h - 3699548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, a: 1, x: 3}. Give prob of picking 2 e and 1 x.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6259*m - 7783. Is 27 a factor of g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**7\/2520 - r**4\/6 + 3*r. Let b(c) be the third derivative of q(c). Let j(t) = 4*t. What is j(b(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1. Let n = 3 - 4. Let u(i) = i + 6. What is n*u(m) + 5*r(m)?\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3781003 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329, 662, 995, 1328, 1661?\nAnswer: 1994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28\/37 - 617\/407. Which is greater: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**4\/4 + 27*r**3\/2 - 135*r**2 + 837*r\/2 - 1701\/4 = 0.\nAnswer: -63, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + (-2 - 2))\/(-1). Let w = -1.04 - 0.16. Let g = 1.1 + w. Which is the third smallest value? (a) 4\/3 (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150947 is divided by 37677.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -969.\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in -2, -2\/15, -3\/2, 2, -4, 6.59?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 22679*g**2 - 8 + 9 - g.\nAnswer: -22679*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 5*n - 380, 0 = 13*a - 15*a - 5*n + 180. What is the remainder when a is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*z = 39 - 7, 0 = -5*z - 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 698933200 rounded to the nearest one hundred thousand?\nAnswer: 698900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w - 5. Let m(i) = -2*i + 4. Determine 7*g(u) + 6*m(u).\nAnswer: 2*u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 575359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2796 is divided by 312.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 25*n = 24*n - 30, 0 = -4*v - 4*n - 36. Does v = -0.0943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -42*(-2 - (-6)\/9). Suppose 4*j - g = 2*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*f + 90*f + 138*f**2 - 275*f + 96*f.\nAnswer: 138*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 23*j + 15. Let b(g) = g**2 - 11*g + 7. Suppose 0 = -3*v - 13 + 109. Suppose -v*p - 156 = -20*p. Calculate p*b(f) + 6*k(f).\nAnswer: -f**2 + 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000557976 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29649*6\/72*((-16)\/(-4) + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-54432)*18)\/((-266)\/(-56))\nAnswer: -1\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-1*sqrt(56))\/sqrt(8) - sqrt(7)) + 2*sqrt(343) + -4)**2.\nAnswer: -48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*x - r, -674 = -2*x - 6*r - 708 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4426)\/(-14) - (-2)\/(-14). Is 4\/4 + 2 + k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Determine v so that -2*v**3 + 2*v - 2*v**4 + n*v**3 - 6*v**2 + 4*v**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 452147\/39369 + (12\/11)\/6\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from hzzphuzhihuuuzh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-2)\/15*(-20)\/(-24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 - 2*a - 1. Let g(h) = h**3 + 7*h**2 + 4*h + 3. Let c be g(-5). Let r be c\/7 + 6\/21. Suppose -r = 5*x - 0*x. Determine q(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11659097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*u**3 + u - 1 + 2 - 75*u**3 - 3*u**2 + 4*u**2 - 2*u**3 to k*u + z*u**2 + x*u**3 + l and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 4*c, 42 = 2*b - c. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 7*w**2 + 4*w + 3. Give d(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 418 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*q**5 - 16095164*q**3 - 230750140*q**2 wrt q?\nAnswer: 1080*q**2 - 96570984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + (sqrt(200) - (-5 + sqrt(200))) + -2 - (5 + -1*sqrt(200) - (5*((sqrt(200) - (sqrt(200) + 2 + sqrt(200))) + sqrt(200)) + sqrt(200))))**2*-4.\nAnswer: -3687 + 1760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54) - sqrt(216)*2)\/(sqrt(75)*2))\/((-2*sqrt(42))\/sqrt(7) - sqrt(24)*-3)*-2.\nAnswer: 3*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(270) + -1*sqrt(270))\/sqrt(9)*4)\/(sqrt(18)\/sqrt(3)*5 + sqrt(24)\/(sqrt(12)\/sqrt(3))))**2*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-750)*-25)\/(5\/(15\/(-6)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.027 and -0.11.\nAnswer: 0.00297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -1, 5.5, 5?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -355664 (base 7) in base 13?\nAnswer: -23471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 373854726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilogram in grams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43939632 is divided by 101.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -7) + -5 + 2 + 7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -1. Let z(p) = p**3 - 12*p**2 + 21*p - 5. Let i be z(j). Solve -5*d = i*l + 20, -3*l + 3*d = -7 + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 13*u**2 + 23*u - 1. Give r(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3217 - -3244. Solve -37 = -10*p - g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166 - 67. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) 6415 (c) -1.29 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1897145.4 months to years.\nAnswer: 158095.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x + 3. Let t(n) = 4 + 2 - n - 3 - 4. Let g(h) = 10*h + 5. Let m(r) = -g(r) - 3*t(r). Let c(q) = 6*l(q) + 7*m(q). What is c(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**5)\/z*z*z*z\/z**(2\/17)*z*z*(z\/(z*z\/z**(-2\/7)*z))\/(z*z**7) assuming z is positive.\nAnswer: z**(-1119\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7238?\nAnswer: 2, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w + 2*w - w. Let q be h(1). Let k(p) be the third derivative of p**4\/24 + 2*p**3\/3 + p**2. What is k(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3461*q - 794*q - 17 + 48. Let n be y(7). What is n rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 106*a + 1. Let d(o) = -2*o**2 - 103*o - 2. Determine -2*d(j) - 3*g(j).\nAnswer: j**2 - 112*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1503 (base 14) in base 3?\nAnswer: -12010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b*p**3 + b*p**2 + 63*b*p - b - p + 156682 wrt p?\nAnswer: 12*b*p**2 + 2*b*p + 63*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmmhmhjjjjnf. What is prob of picking 2 m and 1 h?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 2*i - 16 - 9, -2*i - 462 = -919 + 455 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1081 or -1076?\nAnswer: -1081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34738, -139067, -312990, -556507?\n\"Answer: -34797*x**2 + 62*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.029 and 660.\nAnswer: -1339.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13123020 (base 4) in base 7?\nAnswer: 154440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 3 - (-4)\/(-1). Let y be (16\/(-24))\/((-4)\/x). What is the third biggest value in 3\/7, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/5*a**4 + 0*a**2 + 0 + 0*a - 1\/5*a**5 + 56\/5*a**3.\nAnswer: -a**3*(a - 28)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 141, 216, 291, 366, 441?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u - 4*u)*(u**3 - u**2 + u**2 + 2*u**2 + 2*u**3 - 2*u**2 + (4 - 2 - 4)*(0*u**3 + 4*u**3 - 2*u**3) - u**3 - 7*u**3 - 3*u**3).\nAnswer: 60*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2)*s*s)**(-11\/5)*(s**2)**(-24) assuming s is positive.\nAnswer: s**(-251\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-77)\/22)\/(2\/(-12)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -135 in increasing order.\nAnswer: -135, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) 74 (b) -1\/3 (c) -5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 - j**3 - j**3)*(-4*j + 0 + 0)*(2*j + 2*j - 2*j) + 0*j**5 + 0*j**5 - j**5.\nAnswer: -17*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 1 - 7 - 4 + 6*p - 32*p.\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 137?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 1600*p. Let n(i) = 2*i**2 + 3201*i. Give 4*n(w) - 9*q(w).\nAnswer: -w**2 - 1596*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -174*j + 64 + 806. Solve 2*p - 21 = j*n, 5*p - 21 = 5*n - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*d**3 - d**2 - 8*d wrt d.\nAnswer: 390*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427064391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*w - 5 = 0, x - 2*w + 13 = -2*x. Let k = 2 + 2. Let q be 91\/28 - x\/k. Sort -6, 2, q in increasing order.\nAnswer: -6, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*o + 30783 - 34727 for o.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3*6\/27)\/(6\/(-9)). Let i(p) = -p**2 - 6*p + 2. Let j be i(-6). Let z(f) = -j*f + 1 + v - 2. Determine z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b7a6 (base 14) to base 9\nAnswer: 47434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -5*o**4\/6 + o**3\/3 - 13*o**2. Let u be i(-1). Suppose -u*z + 26*z - 536 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 107185\nAnswer: 1500590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1279989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -22.2. Let c = p + -3.5. What is c rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 248*h**2 + 1914*h - 1462. Calculate t(-240).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -190675, -381319, -571953, -762571, -953167?\n\"Answer: l**3 - l**2 - 190648*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 391707*x - 391792*x + 255. Let f be (-5 - 0)*(-4)\/5. Solve 0 = -x*h + 1 - f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -20?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3155010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1406426145\/4189146 - (1\/(-2) - 0). Let y = 12\/53707 - z. Let q = y - -336. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173953429 to the power of 1\/2, to the nearest integer?\nAnswer: 13189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-12)*-6)\/(1\/(-17)). Find the second derivative of -2 + 19*s**2 + 25*s**2 + 3*s**2 - p*s + 20*s**2 wrt s.\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3 - 5 - (3 - 8)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 156 = 2*u. Let x(q) = 11*q - 2. Calculate the remainder when u is divided by x(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a + 10 = -j, 2 = 2*a + 4*j. Solve 5*o + 0*g + g = -11, o = -g - a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 9. Give n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8593000 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1580*l*y**6 + 23*l*y**4 - 4*l*y**3 + 2*l*y**2 + 7*l*y + y + 2446 wrt y?\nAnswer: 189600*l*y**3 + 552*l*y - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 - -3.08. Let b be 0 + 0 + (-2)\/(-13). Let a be 28 + -30 + 1\/2. What is the nearest to -0.2 in a, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7270773 to the nearest integer?\nAnswer: 2696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by -2\nAnswer: 117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12198456 divided by 1524807\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16342204 divided by -4\nAnswer: 4085551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -11*q - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/3 + 2 + 2. Let y = m + -3. Differentiate 2*t**2 + y + 2*t**3 - 2*t**2 wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 - -74. Let u be 2\/(c\/9*5\/(-10)). Solve -2*r = -u*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i - 8. Let p(d) = -1. Suppose -2*l - 5 + 29 = 0. Suppose 4*q + l = -0*q, r - 3 = -5*q. Calculate r*p(u) - 2*j(u).\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464212510.\nAnswer: 2, 5, 181, 256471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 + 6*r - 4*r**3 - 7 - 4*r**2 - 3*r**2. Let z be x(-8). Let t be (-12272)\/(-338) + (-16)\/52. Calculate the greatest common divisor of t and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97236 by 97236.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 - 38 - 11 - 20 - 8*t in the form x*t + s and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -135*a + 126.\nAnswer: -135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 615905 and 5771.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23450\/3063 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8101 - 3476. Suppose -q + 913 = -5*n, -3*q = -8*q + 5*n + w. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 795608630?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.76 + -66.84. Let u = y - -68. What is the biggest value in 1\/4, 1, u, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869 is divided by 88?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from vvuvvuvu?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n + 35. Let s(u) = u**3 + 6*u**2 - 8*u + 15. Let j be s(n). Solve 2*p = -2*x - 3 + 1, 0 = 2*p - 4*x - j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*d - 9 + 109*d + 4 + 5.\nAnswer: 291*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.24 in 1, -0.06, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 - 3*y**4 - y**4)*((-2 - 2 + 5)*(5 + 1 - 4) + 5 - 27 + 5)*(-48*y + 16*y + 18*y).\nAnswer: -420*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1658 + 102*h + 1658 in the form p*h + u and give p.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 12 = -5*t. Suppose -4*f + f = 0, 5*f + t = 4*r. Let s be r + (-6)\/(-3) - 0. Solve -4*l + 3 = -s*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6127815, -6127782, -6127749, -6127716, -6127683, -6127650?\n\"Answer: 33*d - 6127848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 14, 1 in decreasing order.\nAnswer: 14, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idul when four letters picked without replacement from wdilulff.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*t + 48*t = 5*n - 10, -t - 61 - 89 = -17*n - 36 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 310*c**2 + 6*c - 309*c**2 + 8*c + 23 + 2. Calculate t(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 0, -3 in decreasing order.\nAnswer: 0, -3, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 + 3*68\/21. Solve -g - 5*o = -3*g, 4*g = 5*o + t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 281, 499, 717, 935, 1153, 1371?\n\"Answer: 218*i + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -29. Let h be (-25)\/(-35) + (-4)\/(-14). Let q(w) = -3*w. Let r be q(h). Put r, -1, c in decreasing order.\nAnswer: -1, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 615472939 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afl when three letters picked without replacement from pwaqpplfaww?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l - 6*l = 90 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 262031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*p, 4*n + 4*p - 183 = p. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-16)*(-32)\/(-28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a day in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + s - 5. Let c(p) = 2*p**2 - 24*p + 5. Let n be c(12). Suppose -20*i = -n*i - 2265. Calculate the remainder when i is divided by j(-8).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*2\/(-10) + (-3)\/(-65). Sort 0.3, i, -5 in decreasing order.\nAnswer: 0.3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45558 + 45562. Let -1\/3*z**2 + 1\/3*z**d + 1\/3*z**5 + 8\/3*z - 4\/3 - 5\/3*z**3 = 0. What is z?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 9*t + 14)*(4*t**3 + 0*t**3 + 2*t**3) - 3*t**4 + 2*t**4 + 3*t**4 as y*t + a*t**4 + o + q*t**2 + j*t**3 and give a.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/12 - (-26)\/(-40). What is the closest to -0.1 in 5, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -53 + -5?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**5 - 4924790*i**4 + 427*i**2 - 642*i + 7?\nAnswer: 120*i**2 - 118194960*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1085833203?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 9:35 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5157*k**5 - 1886*k**5 + 3642*k**5 + (2*k - 3*k + 0*k)*(k**3 - 2*k**4 - k**3) + 3*k**5 - 5*k**5 + 3*k**5.\nAnswer: -3398*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-50)\/(-16))\/(-10 + 2255\/220).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 34574.\nAnswer: 20744.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + q**2 - 5*q - 1. Let l be f(-2). Suppose 0 = -3*k + 4*b + b + 67, 75 = l*k - b. Suppose k*d - 11*d - 234 = 0. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*t + 5*t - 10, -4*t = -2*u + 10. What is the third derivative of -4*h**2 + 3*h**5 + t*h**5 + 0*h**5 + h**2 wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1215 + 1212. Let r(d) = 13*d**3 + 5*d**2 + 3*d. Let m(z) = -27*z**3 - 11*z**2 - 7*z. Determine b*m(k) - 7*r(k).\nAnswer: -10*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0727 - -339.9273. Let y = h - 338.59. What is y rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*s + 71 = 0, -2*n = -6*n + 5*n - 2*s - 43 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -754800 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 - 6) + (60\/10)\/(-3). Solve -11*q + o*q = -32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -23. Let q = 0 + 1. Let t = 0 + q. Sort u, -4, t in descending order.\nAnswer: u, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -28. Let n = 5.8 + 2.6. Let r = l + n. What is the smallest value in r, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y + 10. Let h(b) = b + 3. Let m be h(10). Let t(z) = -m - 3*z + 0*z + 4. Let g(f) = 3*t(f) + 2*v(f). What is g(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -151046\nAnswer: 15104.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*s + 257*s - 105*s = 126*s - 1876 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 11:08 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v + 54 - 14. Suppose -t = -4 - 1. Let y(f) = 2*f**2 - 5. Let w(l) = 2*l**2 - 4. What is t*w(c) + v*y(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128025810?\nAnswer: 2, 3, 5, 11, 17, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 660979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -14*a**2 + 15*a + 16. Let l(n) = 57*n**2 - 59*n - 62. Determine -6*l(y) - 23*o(y).\nAnswer: -20*y**2 + 9*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 6. Let t = -2.9 - -2.849. Let d = t + 0.551. Sort -4, d, x in increasing order.\nAnswer: -4, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34480 and 1058000.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4128370, 4128386, 4128402, 4128418, 4128434?\nAnswer: 4128450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (63 - 23 - 26) + -1 + -24 + -86?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 8, i: 2, c: 5, x: 1}. Give prob of picking 1 s and 1 e.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011100 + -1101?\nAnswer: 101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -647386 or -647534?\nAnswer: -647534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*c = 271*c + 25. Calculate the greatest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 = 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 39915*n - 2284902.\nAnswer: 3*(n - 13362)*(n + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18645 = 5*c - 5*d, 6*c + 4*d = 7*c - 3735. Suppose -3*l + c = -4*j, 3*l + 4*j - 3767 = -0*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4 + 2. Let p = l - 0. Let w = 563 - 563. Solve w = 4*i - 5*m + 20, 0 = p*i + 4*m - 14 - 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33967 and 87.\nAnswer: -2955129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 30 = 3*k + 5, 40 = 4*k + 4*v. Calculate the remainder when 66\/((-1 + -1)\/(76\/(-57))) is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) 47 (c) 2\/21 (d) -1 (e) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 1 + 17 - -3. Suppose 0 = -4*j - 5*c + 2*c + 11, -j - 5*c = 10. Solve 0 = -5*h - 4*f - v, 3*h + f + 12 = j*f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/10 - 637\/(-35). Let x be (-43)\/((-2 + -1)\/f). Let r = x - 137. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Find the second derivative of -10 + 2*v**5 - v**u + 0*v + 0*v - 2 - v wrt v.\nAnswer: 40*v**3 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swts when four letters picked without replacement from twwswwwtdwsww.\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**3*q**3 + m**3 - 2*m*q**2 - 5*m*q - 99*q**3 wrt q?\nAnswer: 6*m**3 - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8562 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 1862?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 299385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3\/2, -4, 9, 4.1, -15 in decreasing order.\nAnswer: 9, 6, 4.1, 3\/2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/5 - 113466*d\/5 + 3218633289\/5 = 0.\nAnswer: 56733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-152)\/(-8) + -3*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1469305*z**2 - 2338663.\nAnswer: 2938610*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65845693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 + 22*m + 9. Let a be v(-7). Let -f + 1 + 65*f**2 + f**4 - 67*f**a - f**5 + 4*f**3 - 2*f**3 = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 293 - -178.259.\nAnswer: 471.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 149581.0965 rounded to the nearest 10?\nAnswer: 149580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 0*m - 2*m + 0*m - 2*m + 0*m - 3*m + 3*m - m + (-m + 3 - 3)*(4 - 2 - 1) - 3*m - 2 - 2*m + 3*m.\nAnswer: -7*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -5. Suppose x - 21 = -3*s. Solve 3*o = -2*z + s - 13, -4*o = -4*z + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6099960 take away 446.021?\nAnswer: 6099513.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let a(v) = 0 - 3*v**2 - 3 - 3*v - g*v**2 + 6*v**2. Let f(m) = 2*m**2 - 4*m - 4. Determine -3*a(i) + 2*f(i).\nAnswer: i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7311 + 13255. List the prime factors of t.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**10\/7560 + s**8\/840 - s**6\/180 + 13*s**4\/12 - 12*s**2. Let g(f) be the second derivative of d(f). Factor g(l).\nAnswer: -4*l*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360*y + 363*y = 15, -f - 118 = -3*y. Put 7, -4, f in increasing order.\nAnswer: f, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*g + z + 10, g - 5*z = 23. Let u = 4 + g. Suppose 0 = u*j - 76 - 82. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(-1 + (-3 + -1 + sqrt(72) - (1 + sqrt(72))*-1)*-2*2).\nAnswer: -23 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**5\/5 + 7*l**2 + 11*l. Differentiate p(g) wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1072*s**3 + 5*s**2 - 81761*s - 1 wrt s.\nAnswer: 6432*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 12. Let d be (5 - y) + (-4)\/2. Suppose -185 = d*s - 12*s. What are the prime factors of s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 85 - -1 - (-3058 - -3032)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9938*r**2 - 329*r + 240 wrt r?\nAnswer: -19876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, a: 1, w: 2}. What is prob of sequence wa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {w: 3, b: 1, n: 6, z: 1, p: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oouuooooooo. What is prob of sequence ou?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -56. Let a = y - 8. What is the third derivative of 5*m**5 - 3*m**5 + 14 + 18*m**a - 14 wrt m?\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.024, 5, -8, 0.4 in descending order.\nAnswer: 5, 0.4, 0.024, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3789, 55, -4, 4, -22 in descending order.\nAnswer: 3789, 55, 4, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 4*z**2 + 8*z + 3. Let i(p) = -p**3 + 3*p**2 + 8*p + 4. Let s(c) = 3*i(c) - 4*y(c). Determine d so that s(d) = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -849 and -849 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 + (-737)\/99)*3\/(-2). Are t and 16940 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1739 + -1745.495. Round x to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2\/5*(-6 + 12)*1225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0220858634 rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4186.584 millennia to decades.\nAnswer: 418658.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 5*n + 4. Let a be i(-7). Let p(j) = -j**2 - 12*j - 8. Let o be p(a). Solve x - o = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154)\/(-88)*(-16)\/28*(4 + (-235)\/25)?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*o - 2*o. Let x = o + -1. Suppose 0 = -5*m + x*k + 36 + 23, 2*m + k = 29. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/108 and 77\/1635363?\nAnswer: 6541452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -673.35 (b) -20 (c) 0.11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1724, -1796, -1868, -1940, -2012?\nAnswer: -2084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34392923 * -13.\nAnswer: -447107999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45 or 73?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - z)*(-2*z**2 + 3*z**2 + 0*z**2) + 2*z**3 + 3*z**3 + 0*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22322012022 (base 4) in base 12?\nAnswer: -b5a8b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-4)*((-200)\/600)\/((-10)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2045256 + 672977 - 160089 = 64*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 >= -51\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 25 + 189 + 34*b + 11*b + 5*b. Calculate d(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342231 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(-22)\/11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 + -92. Let f = k - 0. What is the nearest to f in 3, -4\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m + 55. Calculate the remainder when u(6) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*k + 1957 = 6655 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 238476 * -6\nAnswer: -1430856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (776 - 1)*(-8 - (-301)\/35). Calculate the highest common divisor of 60 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 25, 2, 102 in ascending order.\nAnswer: 2, 5, 25, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + -233?\nAnswer: -24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f. Let g(o) = -370*o. Calculate g(a(i)).\nAnswer: -370*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5991.4692 milliseconds to hours.\nAnswer: 0.001664297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(192) + 4 + -1 - ((0 + sqrt(3))**2*-4 + sqrt(75)*5).\nAnswer: -33*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5014893*h**2 + 1052*h + 629 wrt h.\nAnswer: -10029786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 210 = 3*p + 4*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f - 2 + f + 2. Suppose -18*d - 181 = -19*d. Let t(k) = d*k - 181*k + 20*k**2. Give t(y(o)).\nAnswer: 80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(468) - (-2 + (sqrt(13) - 1*sqrt(13))))*4)**2*4.\nAnswer: -6144*sqrt(13) + 120832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {t: 11, c: 3, m: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-7) - 428\/(-14). Which is greater: c or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from yyhndhdmdyybydy?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**4\/2 + 2*d**3\/3 + d**2 - d + 106. Calculate l(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**3 + 22751*x**2 - 368*x + 368*x - 22751*x**2.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o)**(-4)\/(o**3*o*o**(-1\/15)))**3 assuming o is positive.\nAnswer: o**(-119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 56345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31741.03 millennia in years?\nAnswer: 31741030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 8) to base 4\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 9768*h**2 - 193484*h + 668472.\nAnswer: -4*(h - 3)*(h + 23)*(h + 2422)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + -2 - -1*3376 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 sssssssss. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1700)*2 - (sqrt(1700) - (sqrt(1700) - (2 + sqrt(1700)*3))))**2.\nAnswer: -40*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -2*d**3\/3 + 104*d - 3. Let y(w) = w**2. What is y(u(a))?\nAnswer: 4*a**4 - 416*a**2 + 10816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33493387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6 + 3.8. Which is the nearest to 1\/3? (a) 52 (b) -2\/11 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22253595 to the nearest integer?\nAnswer: 4717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**4 + 2*b + 12*b**4 - 3*b**4 + 13 - 3*b**4 to the form g*b**4 + k*b**3 + v*b**2 + t*b + x and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107592*a - 140 = -107572*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-6 - -2 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k = -12*k + 92 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 263 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 13*m - 8*m, 3*h + 183*m - 185*m - 28 = -4 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - l**2 + 143*l - 541. What is w(4)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35\/2 - 17. Let m = -73 - -73. Put -1, m, r in increasing order.\nAnswer: -1, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -q - k, 0 = -q + 4*k. Let h(f) = q*f + f - 6*f - 2*f. Let c(j) = j**2. Calculate c(h(w)).\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, q: 13, c: 3}. Give prob of sequence cpq.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63.3 + -63. Which is the biggest value? (a) -0.17 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*m = 229, -m = 2*q + 4*m - 438. Suppose -1630*c + 805 = -802*c - 805*c. What is the remainder when q is divided by c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -11. What is the nearest to -0.1 in -0.2, r, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -294 + 98 + 24*i - 954 - 26*i as g + o*i and give g.\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -89522949 and -0.06.\nAnswer: 5371376.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10704539 * 4\nAnswer: 42818156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 4*h - 66 = -84, 5*h + 5 + 5 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300 by -3.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*p - 35*p - 32*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 679612 = 64*x - 245380. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854*v = 117*v - 2948 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -406 divided by -4\nAnswer: 203\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*n - 4 + 2)*(17*n + 555 - 555).\nAnswer: 51*n**2 - 34*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 + 0*k**5 + k**5 + (-3*k**5 + 3*k - 3*k)*(6 - 3 - 4) - 2*k**5 - 719 + 719.\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.125 + 86.875. Let i = -258 + x. Let u = 171.0077 + i. What is u rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10\/7*i**2 - 64\/7*i + 2\/7*i**3 - 72\/7 = 0.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 37*l**2. Let j(a) be the third derivative of 0*a**3 + 1\/60*a**5 - 5*a**2 + 0*a + 0*a**4 - 19. What is j(w(d))?\nAnswer: 1369*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72 - -650\/9. Let s be (-57)\/38*12\/(-153). Which is the nearest to 0? (a) z (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/45)\/((-3)\/9))\/((-5)\/75)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/240)\/((-4)\/(-10)))\/(-3)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = 4*p + 27, 5996089*p + 19 = 5996084*p + f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*i + 13 - 6, -3*i + 2*h - 11 = 0. Let s = 0 - i. Suppose 4*z - 52 - 34 = 2*q, -q + 57 = s*z. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 + 2*n**2 + n + 2. Let r(j) = -4658*j**3 - 6*j**2 - 3*j + 2817. Let i(t) = -3*q(t) - r(t). What is the derivative of i(h) wrt h?\nAnswer: 13947*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11897 - 19?\nAnswer: 11879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2153*l + 881. Let f be w(-93). What is f rounded to the nearest one thousand?\nAnswer: 201000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 - 8*o**2 + 4.\nAnswer: 4*(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1678*s - 210. Let p be b(5). What is p rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {q: 8, r: 2, a: 4, n: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -16*w + 2. Let y(i) be the second derivative of -i**4\/6 - 4*i + 8. Give d(y(m)).\nAnswer: 32*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-two fifths of a millimeter?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*(sqrt(162) + -2))**2 - (-5*(sqrt(18) + sqrt(18) + (1*sqrt(2592) - sqrt(2592))))**2.\nAnswer: -324*sqrt(2) - 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -504, -489, -480, -477, -480?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7815 - 7810. Let u be 0 - (-1*2 + 3). Let x be (2 + u)\/((-1)\/(-55)). What is the greatest common factor of x and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.547 + -28.4. Let t = r - 0.14700186. What is t rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4158 by 54.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 4*v + 464. Suppose 10*u - 23 = 7. Suppose -4*k - k + 204 = 2*p, 2*p + v = u*k. Does 40 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 5*b - 1. Let z be n(5). Let j be 48\/(-66) - 2\/(-3). Which is bigger: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1999, 54, -4 in descending order.\nAnswer: 54, -4, -1999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 120*y - 28639 + 37999 for y.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3\/7 - 62996784*l**2\/7 - 3*l\/7 + 62996784\/7 = 0.\nAnswer: -1, 1, 20998928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5028 to 2 decimal places.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/12)\/((-6)\/20). Let a = -3 - -3. Suppose a = -c*m + 1 + 59. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.72342831 rounded to 3 decimal places?\nAnswer: -5.723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 0 + 4*o**2 - 4*o**4 - 2\/7*o**5 + 26\/7*o - 24\/7*o**3 = 0.\nAnswer: -13, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -721, -1261.5, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000850522087 to five dps.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 15*n**2 + 7. Let x = 150 + -102. Let t(d) = 52 - 52 + x*d - 45*d. Determine t(m(b)).\nAnswer: 90*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 37. Which is the third smallest value? (a) -4\/9 (b) n (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 104315 + -6?\nAnswer: 104308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvkk when four letters picked without replacement from akmafkvammvmf.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4101*s + 2028. List the prime factors of w(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1022*y**2 - 326*y**2 - 393*y**2 + y in the form v + a*y + j*y**2 and give j.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 8 + 2\/39*i**3 + 50\/13*i**2 + 1250\/13*i. Solve x(a) = 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -65 + 257?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 28 = -3*b, -62*a - 11*b + 46 = -58*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1827 - -3655\/2. Which is the nearest to 2\/7? (a) h (b) -0.1 (c) -4 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 0.01, -0.02, -0.5, 7, 3\/4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000324 to seven decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**2 + 940*t - 1896 = 0.\nAnswer: -237, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2 - 599*r + 1 + 25*r. Let b be a(2). Let u = b + -1155. Round u to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*l**3 - 8*l**3 - 2*l**3)*(-3*l + l + 0*l) + 3*l**4 - l**4 - 3*l**4 in the form f*l + v*l**4 + r*l**3 + y + o*l**2 and give v.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 23092.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 11*x**4\/3 + x**3\/3 - x**2\/2 + x. Suppose 0 = -64*s + 43 + 85. Is f(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -815*g*j**4 + 514*g*j**3 + 332802*g - 6*j**2 wrt j.\nAnswer: -19560*g*j + 3084*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91883 divided by 11?\nAnswer: 8353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 2 = -3*v. Suppose t - v = -3. What is the derivative of -5*q**2 + 3*q**4 - 5 + 5*q**t wrt q?\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 8 = -4*t. Suppose t*q - 12 = -2*w, q = 2*w - 10 + 3. Are 4 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1480427 + -1?\nAnswer: -1480428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -1)\/(-2) - -3. Let l be (54\/(-24))\/((-1)\/w). Suppose 4*v - l = 19. Solve -16 = -v*b + 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = d + 2*q, -3*q + 20 = 5*d. Sort -2, -3, d in decreasing order.\nAnswer: d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627 a factor of 3597062855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 + 5*i - i**2 - i**2. Let p be q(-5). Suppose -2*u + u + 8 = p. Solve 0 = -5*g - 12 - u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.09? (a) -0.1 (b) 283 (c) 1\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 174*g = -176*g - 5, -16*p + 3*g + 138 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + 6*o**2 + o**2. Let x(f) be the first derivative of 0*f - 161 + 5\/3*f**3 + 0*f**2. Determine x(v(h)).\nAnswer: 125*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*f - 114 + 164 = 0, 2*f - 7 - 21 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g + g + 3*g)*(2*g - 4*g + 0*g) + 1 - 1 + g**2)*(-139 + 139 + 24*g**2).\nAnswer: -72*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1740 * 14352.\nAnswer: -24972480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, p: 1, r: 2, l: 1, y: 2, u: 1}. Give prob of picking 1 u, 1 y, 1 w, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1065\/12 + 9\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*p + 25 = 0, h + 24 = 5*h + 3*p. Suppose z - 63 = -5*w, 5*z - h*w = -w + 180. Let y = -15 + z. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2057171?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -9. Let w = y - 7. Suppose r = 4*r - 4*l - 90, w*l = r - 19. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + -3 + sqrt(1088) + sqrt(1088) + -1 + -3 + (sqrt(1088) + 1)*5*-2)**2.\nAnswer: 1792*sqrt(17) + 69828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = 4*s - 2*z + 8, 4*s + 11 = 5*z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 306847043*c*i**2*z - c*i + 2*c*z - 32*c - 2*i*z - 16*i + 16137*z + 1 wrt i?\nAnswer: 613694086*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -62*b**5\/5 - 2*b**4 + 185*b**3 - 1479. What is the third derivative of g(d) wrt d?\nAnswer: -1488*d - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.95 in 5\/6, -0.1, -1798?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -664285.565 to the nearest one thousand.\nAnswer: -664000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25437660?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -3)*(-8 - -122). Let b be (-80)\/399 + (-24)\/p. Let g = 2.9 + -3. Is g equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11, -3, -41, -115, -237, -419, -673?\n\"Answer: -2*r**3 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 4. Give z(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2856 = 252*y + 224*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/((-112)\/20))\/((-1)\/4). Let c be 6\/(0 + -3 + a) + 2. Solve j + 2*z = z + 5, c*j + 3*z = 23 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*j - 5*j - 5*j to the form v + k*j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1 - (458 + -456)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 3*r**2 + r**2)*(-2*r**2 + 3*r**2 - 20 - 69).\nAnswer: -3*r**4 + 267*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1221 is divided by -2 - (-66)\/44 - 35\/(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q - 3. Let d(h) = -h - 1. Let k(a) = 18*d(a) - 4*f(a). Let b be k(-1). Suppose b*x + 64 = 4*x. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*b - 3 = 0, -a + 6*a + b - 9 = 0. What is the common denominator of 5\/40*-4*(59755\/136)\/(-37) and a\/(-8) - 147\/(-100)?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2799407 + 318*c**2 - 2799407. Let f(r) = -r**2. What is f(m(i))?\nAnswer: -101124*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 1 - 1)*(-1 - 2 + 1)*(-1 + 4 - 13).\nAnswer: 40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39822 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: Simplify ((sqrt(1053)*-2 + -1)*-4 + (sqrt(1053) - (1 + -1 + sqrt(1053))) + -5 + -5 + 4)**2.\nAnswer: -288*sqrt(13) + 67396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86700.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*a = 350*a - 72 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -8, -34, -80, -4 in ascending order.\nAnswer: -80, -34, -8, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 4:09 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from duuuwizui?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - 1 + 1 + k**2 - 1 + 1 + (-4*k + 3*k + 2*k)*(-k - 2*k + 4*k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95.9 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13071462 by -1538.\nAnswer: -8499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -26*z - 184. Let l be h(-6). Let o = -20 - l. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38, 76, 114, 152, 190?\n\"Answer: 38*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijiijqijijiijijijjjj. What is prob of sequence jiii?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*d + 32 + 28 - 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180))\/sqrt(4) - (sqrt(1620) + -2).\nAnswer: -21*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10151695067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 13*j - 26. Let q be g(6). Suppose 2160 = -7*t + q*t. Calculate the greatest common factor of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 11:14 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.031 + -5694107.\nAnswer: -5694106.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/3)\/((-4)\/(-24)). Sort -5, a, -3 in decreasing order.\nAnswer: a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(12\/(4 + 0)). Let l be (a - (-2)\/4)*6*1. Suppose 659 = 5*h + l*d, 2*h = 5*d + 20 + 225. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -191*n - 1838. Let s be r(-54). Which is smaller: s or 8477?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -69?\nAnswer: 55.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13376 - -14874. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2103173*a = 2103175*a + 4*s - 14, -5*a + 2*s = -11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164609 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97*z**6 - 2*z**5 + 28465*z**3 + 14*z**2 - 377*z + 871 wrt z?\nAnswer: 11640*z**3 - 120*z**2 + 170790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -366, 0, 6.8, 4, -80?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12303 - 3?\nAnswer: 12300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.912644mm in micrometers?\nAnswer: 4912.644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -404 and -0.045210230646?\nAnswer: 403.954789769354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -36402.3543 to the nearest ten.\nAnswer: -36400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3090\/10300*8\/42\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/9 - (2 + -4). What is the third derivative of -229*w + 75*w**5 + w**2 + 67*w + 5*w**2 - j*w**4 + w**4 - 4*w**2 wrt w?\nAnswer: 4500*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2522 and 140062.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 9*k - k - 1551, 0 = k - 5*h - 177. Calculate the lowest common multiple of k and 456.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 2*o**2 + 3*o. Let j be z(-3). Let t be j\/4 - (2 - 3). Solve -g + 1 = -t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 10:40 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23030 + 42103?\nAnswer: 120133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3 - 40\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + 11*n**2 + 99*n - 865. Give v(8).\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569538?\nAnswer: 2, 3, 53, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/160 - 19*b**4\/16 + 219*b**3\/16 + 598*b**2. Factor z(x).\nAnswer: 3*(x - 73)*(x - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + 1 + -2 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(sqrt(539) + sqrt(539) + -4) - (3*sqrt(539)*5)**2).\nAnswer: -121267 - 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 3*s + 4. Let r be q(4). Let x(b) = -118*b**2 - b + 4 + 43*b**2 + 41*b**2 - b + 35*b**2. What is x(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208730 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58968006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, -2\/7, 2\/1901183, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/162*2862\/(-3339).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xwwxhhxxx.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 31. Let n be 90\/t - 12\/42. Suppose -r + n*a + 20 = 0, 0 = 5*r - 3*a - 100. What is the smallest common multiple of r and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 21*w + 12. Let y be g(12). What is the highest common factor of 1160 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269911, 2159366, 7287909, 17275084, 33740435, 58303506, 92583841?\nAnswer: 138200984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**4 + 3930*z**3 - 820800*z**2 + 18772000*z = 0.\nAnswer: 0, 26, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 7:32 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -83200*h**2. Let c(o) = 189*o**2. What is c(i(a))?\nAnswer: 1308303360000*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.86.\nAnswer: -0.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 7 - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/7 - 1663092*h - 2420140625406 = 0. Calculate h.\nAnswer: -2910411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Let n be (-8)\/(-12)*(-15)\/(-2). Suppose 4*d = 3*t - 6, n*d + 0*t + 2 = t. What is o(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -147, 3\/20 in decreasing order.\nAnswer: 3\/20, -6, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*t - 4*y, 5*t + 5*y + 6 = -4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 30, 21, 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {e: 4, w: 6, d: 7}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7*y)\/y*y*y*y)**8 assuming y is positive.\nAnswer: y**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122020 + -22202?\nAnswer: 2022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 341833.36 rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 11*h - 24. Let r be q(13). Suppose -r*z = 13 - 17. Solve 3*n - 7*s = -5*s - 19, -z*s = 3*n + 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37111.\nAnswer: 17, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 187308986 a multiple of 750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 1847*g + 374694. Give c(232).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 661931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -16262*-0.2\nAnswer: 3252.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2\/5 + 1674*u\/5 - 3288 = 0. Calculate u.\nAnswer: 10, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38*88\/(-26752)*448?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*h - 8 = 0, k = h + h. What is the remainder when ((-2)\/(-2))\/((-2)\/(-18)) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l - 48 = 0. Let h = l + -28. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.28 - -0.79. Let g = -0.23 - r. Let t = 0.8 + g. What is t rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 13*g = -67*c + 31*c + 420, 2*c - 36 = 5*g for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-18))**5)**(3\/29) assuming z is positive.\nAnswer: z**(-270\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1372 - -1374. Which is the third smallest value? (a) 129 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/45 (b) 0.01 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4726)\/87431 - (-1445)\/37?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -783.6061796 minus 382?\nAnswer: -1165.6061796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 3)*(-6 - 6 + 6)*(3*v - 6*v + v).\nAnswer: -84*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19349, 19280, 19167, 19004, 18785, 18504, 18155?\nAnswer: 17732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 - 7) - 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 6*p - 10*p to j*p + c and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1045 + -4?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1992259.\nAnswer: 1992259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*t + 23*t - 93*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 40. Let b be u(20). Round b to the nearest 100.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 144251718 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2 + 2*z - 1. Let d be j(-2). What is the greatest common factor of 20 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 less than -259?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 3*z + 424. What are the prime factors of d(0)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*f - 7*f = 3, -a + 5*f = 3. Let t = 8 + -6. Put t, -1, a in descending order.\nAnswer: t, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**5\/270 - 29*v**4\/54 - 714*v**2. Factor q(d).\nAnswer: 2*d*(d - 58)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 2. Suppose 0 = t*p + 119 - 311. Suppose 4*d = -4*d + p. Solve -q - 10 = -d*q + 5*v, -8 = 4*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 172310, 172330, 172350?\n\"Answer: 20*q + 172290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.01, -28, -0.3 in increasing order.\nAnswer: -28, -0.3, 0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (1 + 0)) + 4. Let v = 20947\/525 - 727\/21. Is h > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-15) - (-92)\/120?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -9, -13, -17, -21?\n\"Answer: -4*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9283387563?\nAnswer: 3, 38203241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 15*v - 2. Let x(q) = -q**2 + q + 1. Let r(m) = -a(m) - x(m). Let f be r(13). Suppose 2*b - 24 = f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/5 + 144*t**2\/5 = 0. What is t?\nAnswer: 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1018 and 11.\nAnswer: 11198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**4\/6 + 7*c**3\/6 - 49*c**2\/2 - 3*c + 7. What is the derivative of b(q) wrt q?\nAnswer: -4*q + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5218 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16461*t**3 + 6*t**2 = 0.\nAnswer: 0, 2\/5487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1655 + (2\/1)\/1. Let w be 6\/26*(-20 - (-690464)\/96). Let d = w + x. Find the common denominator of 85\/4 and d.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/25206 + 100829\/126030. What is the second smallest value in -8\/11, a, -0.1, 1\/46?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2071 divided by 5493\nAnswer: -2071\/5493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*s + 133*s + 32578 = 11716 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4551, -4608, -4665, -4722, -4779?\nAnswer: -4836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36657 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -136 (base 11) to base 13\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 224*p**2*y**4 - 3059*p**2*y**3 + 2325*p**2*y - 2*p**2 - 21*y**2 - 65 wrt y?\nAnswer: 5376*p**2*y - 18354*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwiowwwziwiw. Give prob of picking 1 z and 2 i.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 184178363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(-5)))\/n**0)\/(n**(4\/9)\/(n**(-2\/5)\/n)))**20 assuming n is positive.\nAnswer: n**(-1232\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*o = -4 - 6, 0 = 3*g + 5*o - 16. Sort -6, -3, g in ascending order.\nAnswer: -6, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 39*x + 970. Give d(-25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 19. Let h = w + -11. Suppose -4 + 16 = -4*b. What is the third biggest value in -1\/2, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0376 and 4?\nAnswer: -0.1504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57204 is divided by 1079.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5158058894 to the nearest integer?\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12.67 in -519, -0.4, 1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than 162?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 8. Suppose -4*z = 2*u - q, 14 = 3*u - 8*z + 3*z. Solve 0 = 5*y + u*m - 14 + 4, 4*y + 3*m = 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 + 17*l**2 + 17*l + 43. Give i(-6).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27416331*m**3 - 2197554*m wrt m.\nAnswer: -164497986*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(8\/(-6)))\/((-2)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -35, -56, -30?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 6*p - 9. Let f be g(8). Suppose -b + 5384 - 5313 = 0. Calculate the greatest common factor of f and b.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -754, -51, 6, 139 in ascending order.\nAnswer: -754, -51, 6, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48777, 48933, 49089, 49245, 49401, 49557?\nAnswer: 49713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 977300115 to the power of 1\/3, to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - 3*v + 2. Let w be 20\/50 - (-3)\/5. Let a be k(w). Solve a*q + 3 = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzy when three letters picked without replacement from iiyrffrbbzfbi?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-15))\/((-5)\/(-3)). Let x be 2\/3 - (-91)\/(-6). Let c = -14 - x. What is the smallest value in y, -3\/7, c?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, k: 7, x: 4, z: 2}. Give prob of sequence zkk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 - -152. Calculate the highest common divisor of g and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - 260*r + 742. What is f(3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 7*h**2 + h - 4. Let l be f(7). Suppose l*j = 7 + 23. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + c**5 - 2*c**5 + (-4*c + 3*c - 3*c - 4*c + 4*c - 2*c + (5 - 4 - 2)*(c - 3 + 3) - 2*c + 3*c - 2*c + 4 - 4 + 2*c)*(-6*c**4 + 4*c**4 + c**4).\nAnswer: 3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - 85 - (150 + -183)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86.2 + -86.234. Sort -4, 3, m, 5.\nAnswer: -4, m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.72 - -611.72. Let s = j - 593. Which is the third smallest value? (a) -3 (b) s (c) -1 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*k - 19, 5*k - 19 = -4. Let x = -43\/1020 - 2\/255. Calculate the common denominator of (-4 + l)\/(22\/(-3)) and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y + 3 + y**3 + 20*y**2 - 22*y**2 - 33*y**4 + 34*y**4 as c*y + l + q*y**3 + x*y**4 + z*y**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -9*g + 39. Let u = -74 - -78. Let k be l(u). Solve -k = -4*b + 3*o, b + 2*b - 1 = o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, 4, 4.72?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -3*v**4\/2 + 2*v - 6. What is the first derivative of g(l) wrt l?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 1 + (-2 - 3 + 3)*(-3 + 4 + 0) - 6 + 1 + 0)*(-5 + 5 - 2*v**3) to w + a*v**3 + h*v**2 + p*v and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 14 = -4*g, -5*o - 10*g + 8*g + 19 = 0. Let a(s) = -3*s**2 - 10. Let p(x) = -x**2 - 5. What is o*a(q) - 5*p(q)?\nAnswer: -4*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 698*a**2 + 265*a - 184978. What is l(698)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 16. Calculate the greatest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3 + 2 + 908*k.\nAnswer: 908*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + -10?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7150*r. Let q(y) = 675*y. Give v(q(h)).\nAnswer: -4826250*h","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605 is divided by 74.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/17)*p)\/(p\/p**(1\/5)))\/((p*p**(-4)\/p)\/p*p**(-2\/7)) assuming p is positive.\nAnswer: p**(3929\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.29 (b) -2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 3*h - 11. Let f be v(-6). Suppose f - 12 = -n. Suppose -y + 12 = 3*r - 4*y, -25 = -n*y. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(3*(-5)\/9)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 2902144 = -39*u - 31*u. Is u a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -0.2 (b) -0.06 (c) -30 (d) 4\/5 (e) 0.42 (f) 0.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/(-14) - (89 + -99))\/(5 - (-497)\/(-98)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-90)\/3))\/((-10)\/(-75))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c - 3*i = 90, 5*i + 90 = c. Calculate the common denominator of 91\/12 and (-78)\/(-130) + (-164)\/c*1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 11. Let j = 13 + w. Let i(r) = -r**3 + 3*r**2 + 3*r + 5. Let k be i(j). Solve g - k = -4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*6\/(-15) + 124\/80. Let n be -2 - (-6)\/14*30\/9. Which is the closest to -1? (a) n (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 6*p**2 - 3*p - 6. Let w be i(5). Solve 3*b = -0*l + w*l + 1, 0 = 5*l + 5*b + 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74702 is divided by 23968.\nAnswer: 2798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 5) to base 14\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 16) to base 2.\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27+5199314838\nAnswer: 5199314811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/2438 and 29\/8.\nAnswer: 9752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 18336.\nAnswer: 18336.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 5*x - 1. Suppose 17*y = 106 - 4. Calculate v(y).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55\/44)\/(100\/(-2960))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 535, 1103, 1673, 2245, 2819?\nAnswer: 3395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 - 102*f + 21841. What is o(-104)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.968568mg to grams.\nAnswer: 0.008968568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjje when four letters picked without replacement from {l: 4, b: 1, o: 1, e: 6, j: 1, w: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 13 = 2*s, -8*b + 2803*s - 2798*s - 18 = -10*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8389.099 kilometers in centimeters?\nAnswer: 838909900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**12\/q*q**1*(q*q**(-2\/7))**(-31) assuming q is positive.\nAnswer: q**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**6\/120 + v**3\/6 - 5*v**2. What is the derivative of a(w) wrt w?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-3 + 0) - (11 - 13)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52.7 + 53. Let i = 0.1 + o. What is the smallest value in 5, 3, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*k + 42*k + 22*k)*(28 - 19 + 25)*(-2*k - 2*k + 3*k).\nAnswer: -4318*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542782866.\nAnswer: 2, 97, 7952489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/37)\/(l*l**(-1\/16))*(l*l*l*l*l\/(l*l*l*l**(1\/18)\/l))\/((l*l*(l\/l**(-1\/4))\/l*l)\/l) assuming l is positive.\nAnswer: l**(-1583\/5328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 350 divided by -41\nAnswer: -350\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1941 by -328418.\nAnswer: -1941\/328418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13122 by -3.\nAnswer: -4374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -5 + 8 + -4 - 22) + 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 - 56. Suppose 4*z - a = -3 + 44, 5*a - 15 = -2*z. Calculate the remainder when o is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a century in decades?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72 or -15685\/217?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1243*q + 10166. Give a(-8).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 1067.\nAnswer: -3, 4, 1067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/14 - 10\/(-35). Suppose -8 = -5*d + m. Solve -k + d = -0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -966 + 967. Let k(t) = -6*t**2 - 3*t + 1. What is k(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 3869156.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 3*n = 45. Let q(y) be the third derivative of 2\/15*y**n - 2*y**2 + 0 + 0*y**3 + 0*y - 7\/24*y**4. Find the second derivative of q(z) wrt z.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1334458247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 530, 955, 1658, 2633, 3874, 5375, 7130?\n\"Answer: -d**3 + 145*d**2 - 3*d + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**2 + 53040*r - 4889475 = 0. Calculate r.\nAnswer: 93, 10515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1840246074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110111 - 100100100110?\nAnswer: -110100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.633098 minus 5?\nAnswer: -7.633098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 346*p**4 - 2*p**2 - 7 - 344*p**4 + 4 + 2*p to d*p**3 + t*p**2 + s*p + c + k*p**4 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 265 + -260. Let f(o) = o**3 - 1. Let d(l) = -l**3 + 1. Determine j*f(h) + 6*d(h).\nAnswer: -h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5687*p**2. Let z(o) = -14 + 14 + 107*o**2 - 106*o**2. Determine z(s(m)).\nAnswer: 32341969*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211016 divided by -52754.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*u + 4655*u**3 - 1 - 4846*u**3 in the form m*u + l + q*u**2 + z*u**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13896950*h**2*q**2 + h**2*q + h**2 - 2*h*q - 13099*h - 5 wrt q.\nAnswer: 27793900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -78, -83, -90?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2437*t + 19481. Determine i(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*j = 519, 5*k - 4*j + 307 = 2*k. Let x = 1023\/10 + k. What is the common denominator of x and 20*1*(-45)\/40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2853*n**3 - 2*n**2 - 1950. Let t(h) = 1427*h**3 + h**2 + 975. Let f(b) = 9*t(b) + 4*w(b). What is the third derivative of f(s) wrt s?\nAnswer: 8586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.02 + -0.02. Let t = b - 15.1. Is t at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 at most -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129417727.4000041 - -129417737. Let m = 9.66 + -0.06. Let f = v - m. Round f to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3120 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Let g(m) = -m + 8. Let f be g(-6). Let u = f + -9. Solve 2*v + 2*v + 27 = u*h, -k*v = -3*h + 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132460 + 3075*n - 132460.\nAnswer: 3075*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 106085832 to the power of 1\/2, to the nearest integer?\nAnswer: 10300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + 11*11\/(-744) and -79\/248.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.63143 minutes to days.\nAnswer: 0.0511329375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -3. Let r be k*(22\/(-12) + 2). Suppose 4 = -0*m + 5*m - s, 3*m + 4*s = -16. Which is smaller: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.517, -1, 3, -0.05202, 5\/2.\nAnswer: -1, -0.05202, 0.517, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 0, 0 = 3*v - j + 5 - 17. Suppose -62*k = -s - 59*k + 54, -2*s = 2*k - 116. Suppose 26*i - s = 21. Solve -i = 5*f - v*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -35*n - 65. Let v(s) = 18*s**3 - 2*s**2 + s + 2. Let p be v(-1). Is 10 a factor of c(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.1 and 3132769.\nAnswer: 3132765.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1710 - 83. Is q greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -1, 1984, 5 in ascending order.\nAnswer: -1, 1, 4, 5, 1984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (-9 + (21 - (-10 + 15)) - 16)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 8:44 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 7*d**2 + d + 7. Determine s(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a. Let o(h) = -h**2 - 5*h - 3. Let p be o(-3). Suppose -8 = x - p*x. What is l(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 19*i - 2. Let r be k(2). Suppose r = 5*p - 4*b, -2*p - 4*b - 4 = -b. Suppose 83 = p*w - 5*g, -2*w + 5*g + 66 = w. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 2148.33\nAnswer: 6444.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s + 15. Let c(o) = -o - 3. Let b(m) = -5*c(m) - v(m). Let z(h) = 51*h. Determine b(z(g)).\nAnswer: -51*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*h + 0)*(4*h**3 - 3*h**3 + h**3) - 4*h**4 + 21*h**3 - 21*h**3 in the form c*h**2 + j*h**4 + t + i*h**3 + m*h and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 4:48 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -843.4 and 0.7.\nAnswer: -842.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-10)*(-20)\/(-24).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 y, and 1 a when three letters picked without replacement from lbacbcpcbpaypacap.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 141*g + 984. Determine u(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**19\/v*v*v**0)**(-2\/135) assuming v is positive.\nAnswer: v**(-38\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/(-12) - 6\/24. Let q = 0.3 + -0.5. Let o = q + 0. What is the biggest value in o, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(12)*-2*3)\/(6*((sqrt(6)*-1 + sqrt(6))*-5 - sqrt(6))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 631066 + -2?\nAnswer: 631064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1889913966377802750*y**4 + 134971749838012725*y**3 + 1578835479870*y**2 + 6155708*y + 8.\nAnswer: -(14*y - 1)*(512985*y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, c: 2}. What is prob of picking 1 c and 1 k?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 3\/2)\/(8\/((-128)\/(-24)))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 3*y + 7*y + (1 + 2 - 2)*(y + y - y) - 6*y + y + 14*y)*(10 - 11 + 0).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 165961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3461.1 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 3. Suppose -4 = 4*h + x. Let v be 1 + 0 + h - -3. Solve -v*t + 3 = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.465566 nanoseconds to microseconds.\nAnswer: 0.001465566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {r: 8, q: 2, p: 3, n: 2, d: 4}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - t - 4. Suppose -3*x + 5 + 27 = -2*c, 16 = -4*x. Calculate the remainder when 229\/11 - 4\/c is divided by l(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 - 1 + 1)*(-3 + 1 + 0) + 0*j**3 + 0*j**3 + j**4 + 3*j**4 + 0*j**4 - 5*j**4 - j**2 - 3*j**2 + 4*j**2 - 67880*j**4 + 72292*j**4.\nAnswer: 4413*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (367 + -375)*2\/(1 - 5). Factor -4\/7*n**3 - 2\/7*n**l + 0 + 0*n + 6\/7*n**2.\nAnswer: -2*n**2*(n - 1)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 11:21 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1082904*g - 1082904*g - 2795*g**3 + 3*g**2 to r + s*g**2 + h*g + t*g**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -7*u**2\/2 - 3*u + 6664. Let j(z) = -88*z**2. Determine i(j(g)).\nAnswer: 616*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 29, 50, 71?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 34*u**2 - 3*u + 107. Let c be w(34). Solve -5*t - 44 = -g - 19, c*g - 5 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 e when three letters picked without replacement from keeekeuuue.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeekerkkereekxk. What is prob of picking 1 x and 1 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4455 and 18993447?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 290 + -468. Let j = -129 - s. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7562, 15149, 22736, 30323?\nAnswer: 37910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -15*j**2\/4 + 4599*j\/2 - 1839\/4 = 0.\nAnswer: 1\/5, 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - l**2 + 4*l**2 + (-8*l + 4*l + 2*l)*(-3 + 3 - l) to the form o*l + j*l**2 + b and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 1034*r - 13574. Determine s(13).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -4*k**6\/15 + k**3\/3 - 4*k. What is the second derivative of x(a) wrt a?\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + x - 4. Let r be f(2). Suppose -r*d = 2*y + y - 251, -5*d - 25 = 0. What are the prime factors of y?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6720*a + 4410. Let g(m) = -5*m - 6. What is -2205*g(v) - 3*r(v)?\nAnswer: -9135*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/6)\/(4\/144). Let i = z + 35. List the prime factors of i.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 44 = -3*b, -4*p + 12 + 22 = -2*b. Let o = 29 + b. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + a47b9?\nAnswer: a47b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2480738070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 286\/195*(-100)\/(-165)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 56. What is the nearest to -15 in -0.3, 3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13607, 46635, 101683, 178751, 277839?\n\"Answer: 11010*i**2 - 2*i + 2599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/492 and -63\/902.\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -47*z**6\/1140 - 31*z**5\/190 - 15*z**4\/76 + z**3\/57 + 553*z**2. Factor y(s).\nAnswer: -2*(s + 1)**2*(47*s - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2855319647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (3 + -2)*4391 - (-8 + 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 78.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 10*u**3 + (-2*u + u**2 + 2*u)*(2*u + u - 5*u) + (-1 + 3 - 3)*(-u + u + 2*u**3) in the form q*u**3 + g*u + v + s*u**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 428 and 321.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -6. Suppose -3*x + 6*x = 3. Suppose -x - 3 = -o. Solve o*z = f + 9 - n, 0 = -2*z + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/20 + 0)*5 - 4. Solve -g*n - 14 = 3*l, -4*n + 3*l - l = 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1810 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*u + 2*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51.6285 + -51.6. Let n = k + 7.9715. What is the smallest value in n, -1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 51 + 0*u**3 + 2*u**3 - 7*u**3.\nAnswer: -5*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/155*11\/(-1452)*6?\nAnswer: 2\/341","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**5\/60 + 13*p**4\/12 + 11*p**3\/6 - 454*p**2. Let w(v) = 5*v + 2. Determine 2*i(s) - 11*w(s).\nAnswer: -2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.98179 - -0.013\nAnswer: -0.96879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 234904 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t + 4*t + 0*t + 2*t. Let b(o) = 4*o. What is 3*b(d) + 2*u(d)?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + g - 194. Determine m(-16).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kykkkkkkkkbkkkkk.\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3 + 114*t**2 + 1083*t = 0. Calculate t.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/5))**(-1\/3))**9 assuming v is positive.\nAnswer: v**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = f - 2. Let i = f - -3. Suppose 3*w = -i*w - 60. Round w to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20.52, -2\/9, -5\/8, 2\/21 in descending order.\nAnswer: 2\/21, -2\/9, -5\/8, -20.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -33. Let r be 10\/2 + (30 - y). Solve -3*m - r*w = -25, -w + 20 = 2*m + 3*w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -3)\/(((-682)\/352)\/31). Calculate the greatest common divisor of q and 3424.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14822 + -14150. What is the highest common divisor of 1056 and a?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 5, v: 2, c: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -16. Let k be 19 - v\/(-9)*3. Let o = k + 63. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.11 + -15. Let f = g + 0.19. Let u = 239\/65 - 40\/13. Which is the fourth biggest value? (a) -3 (b) u (c) f (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2613 divided by -1.\nAnswer: 2613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -201?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1 + 3 - 4 + 2827506*h**2 - 2827509*h**2. Let j(o) = -2*o + 2*o - o**2 + 0*o. Determine -2*j(v) - n(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 76292143271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1270101 decades to centuries.\nAnswer: 0.01270101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o. Let v(d) = 4 - 6 - 3*d + 6. Let m(s) = 4*j(s) - v(s). Calculate m(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -0.2, -0.34?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - 5 - 178 + 416 - 160 - 138.\nAnswer: u**3 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*i)*(1 + 6 - 4)*(-1 + 3 - 4)*(-i - 4*i + 3*i + (3 + 0 - 6)*(-3*i + 2*i + 3*i)).\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 540456.4 millilitres in litres?\nAnswer: 540.4564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v - 3. Let b(l) = -6*l**2. Calculate s(b(r)).\nAnswer: -48*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -6 - -2) + -81 + 77?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -785, -880, -975, -1070, -1165?\n\"Answer: -95*i - 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -29*m + 24*m + g, m - 24 = -4*g. Solve 18 = -5*c + 4*f, -c = -f + m - 44 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 + -131. What is the common denominator of -17\/15 and ((-6 + -1)\/(-84))\/(w\/(-57))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o**3 + 13*o**2 + 4*o - 14. Let k = -983 + 992. Is w(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.7 - -34.\nAnswer: 14.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 85 - -2?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108527*t**3 - 10003*t**2 - 2*t + 4?\nAnswer: -651162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + 1*sqrt(104)*-4 + sqrt(104) + -3*-2*sqrt(104))\/(sqrt(512) - (sqrt(512) - (sqrt(512) + sqrt(512)*-2*5 + sqrt(512))))*2.\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 + 113. Let y = p + 99. Calculate the remainder when y is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/56, 2\/7, -0.013, -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 596 = y, 3*y - 11*g = -16*g - 1828. Let n = y - -4851\/8. Which is the closest to 1? (a) 2 (b) -4 (c) n (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + 0 + -3)*2)**2.\nAnswer: -120*sqrt(19) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -25*s**3 - s**2. Let p be i(-1). Suppose 3*c = 2*j - p, -7*c + 2*c - 65 = -5*j. Suppose 0 = -4*f + 3*f + j. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - 1) + 42 + (-57 - -18).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -84, 3, -1 in descending order.\nAnswer: 4, 3, 0, -1, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2406?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u - 2*u + 0 + 0*u - 4. Let r be j(1). Let v(l) be the first derivative of -l**2\/2 - l - 12. Give v(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/2 (b) -70\/6459 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35246 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: What is the common denominator of -13\/171985 and 103\/1307086?\nAnswer: 6535430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2*6502034\nAnswer: 13004068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 210494357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(0*j - j**2 + 0*j)*(0 - 4 + 1).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 6 = 3*z + 2*j, -12 = 3*z - j. Let s be (16\/(-20))\/(1\/z). Solve 3*d - 1 = -s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159600409 divided by -1\nAnswer: 159600409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 168915 to the power of 1\/2, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + 3\/((-2)\/2). Which is the second biggest value? (a) k (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 3*o - 33 = -4*m, 2*o = -3*m - 57. Let z = -128 - -2. Let j = m - z. Is 35 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:00 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((168\/32)\/7)\/(3\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1458341 is divided by 336?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 18 = 18. Let b(q) = -q**2 + 8*q - 8. Let o be b(z). What is the greatest common factor of o and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302859430 divided by -151429715?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 16*s**2 + 4*s**2 + 12*s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6) - sqrt(600)*-2) - (-1 + sqrt(162) + 1).\nAnswer: -188*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -125665*u - 628336. Give p(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2052.9 + 2022.82. What is the smallest value in 0, -0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r + r**2 - r**2 - 19*r**5 + 6*r wrt r.\nAnswer: -380*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 10:29 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2102 is divided by 458.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 74. Suppose d = -4*x - 2. Let j(c) = 11*c + 10. Let m(h) = -26*h - 21. Let i(q) = 5*j(q) + 2*m(q). Determine i(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -20*u**3 - 7692*u**2 + 48905960*u - 19561152 = 0.\nAnswer: -1768, 2\/5, 1383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19363 and 2023?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/7, 4, 0.05, -60?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 - 77. Suppose 12 = a*o - 12. Let r be 5\/10*60\/o. Solve -d = 4*d + r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-6)\/(-4)) - -6. Suppose -2*o = -0*f - h*f - 70, 17 = o + 4*f. Suppose -5*t - 6 = 5*z - 91, -3*z - o = -t. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v - 239*v**2 + 1852 - 1715 + 3*v**3 + 237*v**2 + v + 0*v**3 as m*v**3 + k + r*v + a*v**2 and give k.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 12:37 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4*p = 18, -5*m = -6*p + p + 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-2)\/(-2)*3. Let d(a) = 10*a - 2. What is the tens digit of d(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1225698 + -33085180\/27. Let g = -321 + n. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/65*4*1\/(-8)*26.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 291184 and 291256 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-6 - -4)) + (-2 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*z + 2498 = -6*z, 2*b - 1001 = z. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 - 2847076\nAnswer: -2847075.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 20 = 20*h. Calculate the remainder when 33 is divided by (h - -6 - -3)*(-3)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30492, 60980, 91468?\nAnswer: 121956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-5 - (-8 - -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.725585 minutes?\nAnswer: 0.02875975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/20*30\/(-4). Let c(h) = -h**3 + 7*h**2 + 7*h + 1. Let l be c(8). Let b = 9 + l. Solve -2*y + 3 = -b*d + 5, 0 = -2*d - 2*y + s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.072 + -2.072. Let y = 7 + -10. Which is the closest to r? (a) y (b) 3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1904 - 1351. Let c = 728 - u. Calculate the greatest common divisor of c and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 747 + 981. Let l = j + 597. Calculate the remainder when 227 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19102 = -5*m + 3*q, 4*m - 4501 = -5*q + 10825. List the prime factors of m.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39317.03 to the nearest 100.\nAnswer: -39300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15095434547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176845, -353628, -530411, -707194, -883977, -1060760?\nAnswer: -1237543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 21, 26, 3, 2, 0 in decreasing order.\nAnswer: 26, 21, 3, 2, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 781271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 6 + 3 + -2 + -51 + 89?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0105103 rounded to four decimal places?\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12220100122 - -21212?\nAnswer: 12220122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express u - 8*u + 3*u - 8*u in the form y*u + i and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17\/4 + (-117)\/195 + (-7)\/(-20). Let f(x) be the first derivative of 8 + 2\/21*x**3 + 1\/28*x**q + 0*x - 1\/35*x**5 + 0*x**2. Factor f(p).\nAnswer: -p**2*(p - 2)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 3)*(-8737*f + 8737*f + 261*f**2) + 2*f**2 + 0*f**2 - 3*f**2 + (0*f**2 - 5*f**2 + 3*f**2)*(-5 + 0 + 3) as d*f + p*f**2 + h and give p.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/9 - 3538*u\/9 - 3536\/9 = 0. Calculate u.\nAnswer: -1768, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 245.617978 and 0.5.\nAnswer: 246.117978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20106 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 378 = 5*o, 5*m - 4*o - 104 - 526 = 0. Calculate the highest common divisor of 54 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12660272 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 196 + 16. What is the smallest common multiple of 6 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45894 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**3 + 0*j**3 - 9*j**3 - 7*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 = -2*h, 2*h - 5*h - 9 = -5*w. Let p(d) = 0*d + 3*d + w*d. Let o(x) be the first derivative of x**3\/3 - 3. Give o(p(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 22*j**2 + j - 4. Let f = -11 + 17. Let z be g(f). Suppose 5*i - z = -159. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 - f**4 + 2*f**4 + (4*f**2 + 1 - 1)*(4 - 4 + 2*f**2).\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 9 - 9)*(-617*n**2 + 50 - 666*n**2 - 50) to the form k*n**2 + q*n + c + s*n**3 and give s.\nAnswer: -2566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -38*b**3 - 2*b**2 + 3515*b - 10512. Give s(3).\nAnswer: -1011","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 532 + -465. Calculate the remainder when 191 is divided by j.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 20308*w + 133028*w + 6.\nAnswer: 153336*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 159 - 74. Suppose 0 = -3*l + z + 107. Let p = 135 - l. What are the prime factors of p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -4, 12.7 in descending order.\nAnswer: 12.7, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -173\/56 + 64\/21. What is the common denominator of -55\/228 and w?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 338\/63 + -36\/7. Which is the nearest to k? (a) -5 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9 bigger than -902627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 3:19 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 take away 0.017?\nAnswer: -45.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*p + 4. Suppose -p*g = 2*g. Let h = 11 + g. Calculate the remainder when 30 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-6)\/156*(-341)\/(-341)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-11 - (12 - 8) - -11 - -30).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(3 - (-1 + 2)). What are the prime factors of (-1)\/2 + (1132\/t - -4)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 404518 (base 10) to base 8\nAnswer: 1426046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 7 + (1 - (-2 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 391*g**3 - 24*g**2 - g - 26. Let q(l) = -390*l**3 + 28*l**2 + l + 27. Let s(z) = 6*q(z) + 7*r(z). Find the second derivative of s(j) wrt j.\nAnswer: 2382*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.047877 millennia?\nAnswer: 9047.877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -2*t - 4, 0 = 10*u - 4030 + 3990 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 4*y**2 + 5*y - 1. Let p be (-2)\/(-5) + 219\/15. Suppose 12*v - p = 15*v. Give h(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3 - 57*t**2 - 23*t + 840. Determine d(20).\nAnswer: 1580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1678\/7 + -240. Let i be (1\/(-3))\/((-16)\/(-80)). Let v = -6 + 6.07. What is the closest to -0.1 in v, i, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 10:03 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = -5*r. Suppose r = -5*a - 19 + 64. Calculate the highest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-297 + 291)\/(30\/(-32)*2). Let 0*c**2 - y*c**3 + 4\/5 + 12\/5*c = 0. What is c?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttftttllttf. What is prob of sequence ff?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 14, f: 1}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2335 - 16629 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203*t**3*v - 435219*t**2*v + 332058*t*v + 7*t wrt t.\nAnswer: -1218*t*v - 870438*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143*g**3*i - g**2*i**2 + 54*g*i**2 - 3*i**2 + i wrt g?\nAnswer: 858*g*i - 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**4\/4 + r**2 + 6*r + 11. Let g be p(0). What is the second derivative of 2*i**3 - 6*i**3 - 3*i + g*i**3 - 5*i**3 wrt i?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/3, -8, 4\/75 in increasing order.\nAnswer: -8, -2\/3, 4\/75, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12*16\/640*(-5)\/30*-8\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {i: 3, w: 7}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -65. Which is smaller: 12 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -0.2 (c) -12 (d) 0 (e) 244 (f) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlyly. Give prob of picking 1 d and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 19*b + 5928 = 0. Let i = b - 732. Solve -f - 3*f + 5*m - 32 = 0, -3*m = f - i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -553333917129 and 0.05.\nAnswer: -553333917128.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 119812 divided by -429\nAnswer: -10892\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 609956313 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-172)\/(-8)*(1 - 3). Let r = 180 - 252. Let d = k - r. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 306 + -18055\/59. Is b less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (18 + -15 - -37)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a kilometer in centimeters?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234 (base 11) to base 3.\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-5)*d\/(d\/(d**(-15)*d))*d**4\/(d*d**2) assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*(-4638)\/12)\/((-2)\/14). Suppose -2*n = 2*l + v - 39039, 5*l - 84091 = 2*n. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5369000469 + -760\nAnswer: 5368999709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (2 - 1) - 8\/(-104)*-65\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -793 + 796. Let l(m) be the first derivative of -m**4 - 12 + 10\/3*m**a + 0*m**2 + 0*m. What is the third derivative of l(h) wrt h?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + 3*t**2 - 3*t**2 + 2*t - 2*t - 2*t**3 + (-6 + 3 + 1)*(0*t**3 + 3*t**3 - t**3) + 0 - t**3 + 0 + 9 + t**3 - 9.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 0.2, 0, 85, -5, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 - -31) + 5 + 6 + 26 + -5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 52685?\nAnswer: -52685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.3981.\nAnswer: -0.07962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 10. Let f = o + 13. Suppose -f*a - 2*d = -90, -68 = -4*a + 3*d + 27. What is the greatest common factor of a and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 7*k - 3*k)*(-5*k**3 + 3*k**3 + 0*k**3) + k**4 + 6*k**4 + 2*k**4.\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 474849?\nAnswer: 3323943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3685 or -3686?\nAnswer: -3686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/41 and 63\/1640.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 9:42 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 16 + 23 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1964 (b) -0.02 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 410 + 11?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = 0. Suppose a = 4*x - 3*x. Let j(p) = 2*p + x*p - 9*p + 5*p. Let h(v) = 2*v**2. Calculate h(j(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**3 + 89*z**2 - 1489*z - 136. Calculate o(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-27))\/((-17)\/51)*(-213)\/(-1562)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*l + 15*l + 20*l)*(-l + 0*l + 2*l) - 13 - 6*l**2 + 13.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-170)\/44)*(9 - 5).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 130?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43191 is divided by 320.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 16749.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2a51726 (base 11) to base 10\nAnswer: 5229043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzxxzzzx.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = v - 4*v. Suppose 2*a - v = -3*m + 7*m, -4*a = 5*m - 25. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 32, 4, -65, -75, 0 in decreasing order.\nAnswer: 32, 4, 0, -46, -65, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 3*c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1570444*f = -1569998*f + 8028 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c**2 + 368*c + 9. What is y(-49)?\nAnswer: 1185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37.77805 grams?\nAnswer: 37778050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 13*x - 7. Calculate the remainder when 68 is divided by p(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 9*b + 4*r + 2, -4*b + 4*r - 4 = 0. Which is smaller: -9\/50 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/5947 + -136815\/202198. What is the common denominator of y and -2 + 7 - (-1 + 55\/(-2))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**1*f)\/f)\/(f**(2\/15)\/f))**(-39)\/((f\/(f\/(f\/(f*f**1)))*f)**35*(f\/(f*f**(-1\/3)))**(-6)) assuming f is positive.\nAnswer: f**(-549\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 - 4*j**2 + 3*j**2 + 3*j + (-2*j + j + 0*j)*(0*j - j + 2*j).\nAnswer: -2*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452696.\nAnswer: 2, 3, 7, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -263*k*m - 14*m - 11 with respect to k.\nAnswer: -263*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1823645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 79, -3\/2, 297 in decreasing order.\nAnswer: 297, 79, 2\/13, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5046950749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**5\/3 - 1868*k**4\/3 - 22072*k**3 + 48516*k**2 + 69966*k = 0.\nAnswer: -897, -39, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**4\/12 - 2*h**3\/3 + 4*h**2 + 17*h + 4. What is the tens digit of a(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 18. Let s be a(-8). Let v(r) = -31*r - 47. Let b be v(-7). What is the greatest common factor of b and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3991*b - 22193 = -576*b - 117813 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265, 291, 327, 373, 429, 495?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 4:46 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24227465 and 555?\nAnswer: 2689248615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -23*a + 1. List the prime factors of k(-3).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*x + 266*x + 20*x in the form f*x + i and give f.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*z**4 + 5*z**3 - 6*z**2 + 42*z - 285125.\nAnswer: 140*z**3 + 15*z**2 - 12*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(13) - (sqrt(13) + -5)) + 2)**2*5.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*w + 850 = -95*w. Let r be 15\/3*88\/(-5). Are w and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 13. Let w = -0.528 + 0.028. Which is the third biggest value? (a) 0 (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 13 = 2*y + 2*d, 4*y + d + 1 = 0. Let k = 0.0025 - -0.3975. Let f = 6 + -7. Which is the closest to y? (a) f (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/1500003 and -54\/1833337.\nAnswer: 16500033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:45 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 - 2.401356?\nAnswer: -5.301356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*-2 + sqrt(22))\/(sqrt(12)\/(sqrt(18)\/sqrt(3))).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 950702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360)*-2 - sqrt(360)) + sqrt(360))\/sqrt(8))\/((sqrt(27)*1 + sqrt(27))\/sqrt(3)) + (sqrt(180)*2)**2*4 + (0 + sqrt(180) + 0)**2 + -5.\nAnswer: -sqrt(5) + 3055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 3751394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -61455, -122867, -184279, -245691, -307103, -368515?\n\"Answer: -61412*v - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -40. Let m(t) = -6*t - 21. Let z(g) = -10*g**3 - 1. Let c be z(1). Let x(d) = d + 4. Give c*x(n) + u*m(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -0.2117?\nAnswer: 0.5117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*c - 70 = 60*c. Solve 12*m = 5*m + c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -788 + -2159?\nAnswer: -2936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -159, 133, 731, 1737?\nAnswer: 3253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 12.9. Which is the third biggest value? (a) p (b) -0.3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from {p: 2, m: 1, i: 1, f: 1, n: 3, r: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*n + 20 = 0, 5*n - 60 = -3*p + 2*n. Suppose -k = -6 - 5. Let q = p - k. Calculate the remainder when 25 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h = -2*p - 28, 79*h - 86*h + 12 - 5 = -7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6030 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 579 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5890 - 12949. Let n = c + 6971.74. Let q = n + 88. Round q to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in months?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2\/4 + 95*w\/4 - 225\/2 = 0.\nAnswer: 5, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -45, 0, 45?\n\"Answer: 45*i - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Suppose 0*u = 4*u + x*b - 90, b = -3*u + 67. Suppose -s = -4*g + 14, -s = -2*g + 7*g - u. Solve 20 = -g*d - d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.1, 1, -3\/7, 0.2 in ascending order.\nAnswer: -3\/7, 0.1, 0.2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02 and -13490.1061?\nAnswer: 13490.1261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07 + -0.17. Let o = p - 0.06. Which is the third biggest value? (a) -2 (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -3577\/2 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + 2.05. Let r = -16.5 - -104.5. Let k = r - 99. What is the second biggest value in 0.2, k, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21 (b) 0.4 (c) -3 (d) 5 (e) 281\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u - 2. Let f be c(3). Solve -2*n - 20 = 4*q + 3*n, -5*q - f = 2*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u**4\/5 + 24*u**3\/5 - 6*u**2\/5 - 36*u\/5 = 0. Calculate u.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38.48 and -6508?\nAnswer: -250427.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 - 86. Suppose j*b + 2*m - 7*m = 80, 5 = -5*m. Solve 5*g - b = -x, 4*g = 5*x - g - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37759 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: Let c(k) = k**3 + 9*k**2 + 2*k - 45. Let x = 364 + -372. Let r be c(x). Find h, given that 86\/7*h - 8\/7 + 8*h**r - 38*h**2 + 544\/7*h**4 + 128\/7*h**5 = 0.\nAnswer: -4, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**3\/3 + 3*y**2 - 9*y + 1. Let r be t(-8). Let j be 51 - (4 + 2\/(-1)). Calculate the highest common factor of r and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**7\/210 - 19*g**5\/60 + 16*g**2 - 46. Let r(q) be the second derivative of w(q). Find the third derivative of r(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 2*i**2 + 10. Determine a(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 2*d**2 - 3*d**2 + (-5 + 2 + 0)*(3*d**2 - d**2 - 4*d**2))*(3*d - 2*d + 2*d)*(-1 + 5 + 9).\nAnswer: 156*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31861?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h + 5. Let y be k(-3). Let g(p) = p - 15. Calculate the remainder when 9 is divided by g(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.12 (b) -11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3072 and 640.\nAnswer: 15360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30.6 + 30.6. Let y = -0.09 - -0.08. What is the smallest value in y, -2\/31, z?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*i + 65 = 0, -5824 = 3*n + 15*i - 5854 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 12) to base 11.\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*((-15)\/9 - -2). Suppose 960*m - 941*m = 437. What is the greatest common divisor of j and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**3 + 2*l**2 - 1. Let i(p) = p + 10. Let r be i(-6). Suppose -r*s = -1 - 15. Suppose -1 = -3*k + s*k. Determine v(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 3:39 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(147) + sqrt(147) + -2)*-3 - ((1*sqrt(147)*-4)**2 - sqrt(147))).\nAnswer: -14076 - 210*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49906 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.4. Suppose -3*c = -42 + 27. Suppose 12*q - c = 7*q. What is the smallest value in g, 4, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 (base 7) to base 9\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1118 at least as big as -1119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/231)\/(3\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -18\/1055?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 17*y. Let g(j) = j - 15. Determine g(w(r)).\nAnswer: 17*r - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26100 and 880137675.\nAnswer: 6525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 178*u + 2. Let n(c) = -c**2 - 2*c. Calculate d(n(k)).\nAnswer: -178*k**2 - 356*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*i - 105, 4*d + i = 612 - 519. Solve -d = 7*l + 18 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c - 11. Let x(g) = -1. Let f(i) = j(i) - 2*x(i). Let h be f(-2). What is the greatest common divisor of 8 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/2 - 803*j**2 - 3696191*j\/2 - 728713500 = 0. Calculate j.\nAnswer: -697, 3000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4503, 4, 1, -14, -3, -5 in decreasing order.\nAnswer: 4, 2, 1, -3, -5, -14, -4503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 536, 534, 530, 524, 516, 506, 494?\n\"Answer: -f**2 + f + 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1692 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2\/(-9) + 385\/126?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a3 + 216be?\nAnswer: 21861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8664 + 925. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 228*r**3 - 2205*r**3 + 7.\nAnswer: -2433*r**3 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/569 - -154774\/1707. Let y = b + -91. Let r = 8.3 - 8. What is the closest to y in 0, r, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y - 12. What is j(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 143071425 a multiple of 855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (228\/380)\/((-6)\/(-390))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f*i**3*r + f*i**2*r - 1442*f*i**2 + 10*i**3*r + 2*i**3 wrt r?\nAnswer: -2*f*i**3 + f*i**2 + 10*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 35874, 34987, 34100, 33213, 32326, 31439?\n\"Answer: -887*i + 36761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 456905433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 300, 474, 664, 876, 1116, 1390?\nAnswer: 1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-128))\/1*(2 - (7 + -1)). Suppose 2*o + 6 = -0. What is the smallest value in n, -3\/2, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5922875 - -693.\nAnswer: -5922182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 8476?\nAnswer: 8473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h + 235 = 0. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/19))**(-42) assuming m is positive.\nAnswer: m**(-84\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*b - 0*y - 6, 5*b = 5*y - 10. Let n(h) = -6*h**3 - 2*h**2 - h - 2. What are the prime factors of n(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 31 + 8 + 7 - 71*l**2.\nAnswer: -71*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3, -2\/279, -2?\nAnswer: -2\/279","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 13*a - 11. Suppose 5 + 0 = u. Suppose -x = -u*x + 44. What is the remainder when 32 is divided by m(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74002 and 2934?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2529, -9990, -22433, -39864, -62289, -89714, -122145, -159588?\n\"Answer: -l**3 - 2485*l**2 + l - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8789 is divided by 2925?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 divided by 3?\nAnswer: 166\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70815?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-14)\/(d*d**0))**(1\/6)*((d\/(d**(-1\/3)*d))\/d**(1\/10))\/((d*d**(3\/7))\/((d**(3\/5)*d)\/d)) assuming d is positive.\nAnswer: d**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24060477073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2*1\/(-15))\/(2432\/3040)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (3 - -3 - 11) - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 6*f**2 - 7*f + 4. Let j(q) = -2*q**3 + 11*q**2 - 13*q + 7. Let g = -11 - -4. What is g*l(d) + 4*j(d)?\nAnswer: -d**3 + 2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1600830 and 95\/1386.\nAnswer: 1600830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 1\/1692 (c) 0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 9 = 63. Calculate the remainder when (-659)\/y - ((-204)\/54 + 4) is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43420 (base 14) in base 10?\nAnswer: 162708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035060 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 + 3*t**5 - 3*t**5 + (-t + t - 2*t**5)*(-2 + 2 - 1) + 2*t**5 - 2 + 2 - 5*t**3 - 8*t**5 + 5*t**3.\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.5 - 6.6. Let q = 5 - l. Which is the closest to -0.2? (a) 0 (b) -0.04 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-3)*(-6)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 245500 to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/((-238)\/(-272))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52? (a) 3\/5 (b) -2\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*u - 8 + 8)*(-6 + 4 + 0) + 5*u - 3*u + 0*u + (-2 + 11 - 1)*(4*u - 3*u - 2*u) to the form s + h*u and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -2\/21, 4\/27?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/12160476 and 67\/6198?\nAnswer: 12160476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127 + 132.1. Let k = 5 - g. Which is bigger: k or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -5948.\nAnswer: -59.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.215604 to three decimal places.\nAnswer: -5.216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1, -88, 6 in ascending order.\nAnswer: -88, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 12:14 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -3 (b) -0.5 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -33*h**2 - 5*h. Let u(l) = 16*l**2 + 3*l. Determine 3*s(c) + 5*u(c).\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l. Let g(u) = -1700*u**2 - 15*u + 1. Let v(c) = 1705*c**2 + 12*c - 1. Let h(r) = 4*g(r) + 5*v(r). Give h(t(a)).\nAnswer: 1725*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -174*p + 183*p - 3*j + 45, -3*j + 9 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, -5, 3\/2, -3.2471?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/25*(-200)\/(-24))\/((-225)\/(-390))?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l = -2. Let x be ((-128)\/(-10))\/(4*4\/80). Let k = x - 61. Solve -4 = -p, 0 = -k*v - p - 1 + l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*n + 4*b - 0*b, 0 = 2*n - 3*b - 8. Let f(t) = t**3 - 5*t**2 + 6*t - 4. Give f(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {t: 5, h: 2, q: 4, y: 2}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:08 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 2*y**3 + 4 - 2*y + 3*y**2 + 1 to u + g*y**3 + d*y**2 + j*y and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 14*x + 328. Suppose -14*z + 8 = -15*z. Let m be v(z). What is the highest common divisor of m and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 0*a**2 - 6 + 404*a - 404*a - 13*a**2 + 15*a**3 to c*a + f*a**3 + t*a**2 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 729 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/360)\/(5\/(-20)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 + (-14)\/21. What is the nearest to a in -0.2, 0, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + -1)*(-1 + 0). Let j = -7 + 7. Solve j = -5*s + a + 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -67023*i - 201065. Give u(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1032 + -3103?\nAnswer: -2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {q: 1, x: 2, t: 2, u: 2, v: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 5*g - 4. Let j(u) = -u**2 - 5*u - 3. Let c(w) = -4*j(w) + 3*r(w). Let x(m) = m**2 - 3*m. Let i = -11 - -8. Give i*c(d) - 5*x(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 25651388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - (-3*1*sqrt(38) - sqrt(38)) - sqrt(38))\/sqrt(2).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 6:10 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3775, 0, -4, -201, -5, 4 in descending order.\nAnswer: 4, 0, -4, -5, -201, -3775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*b + 3*v, 3*b + 3 = -3*v - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -263 or -332?\nAnswer: -332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 12*s**2 + 8*s + 104. Let f be k(-12). Solve -f*d + 0*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7352991207 to the nearest integer?\nAnswer: 85750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 21*p + 10. Let x be r(-12). Let l be (1\/2)\/(3\/(-390)). Let u = l - x. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*r**2 - 38*r**2 + 26*r**2 + 133*r**2 - 1.\nAnswer: 175*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -5*i + 270. Is i a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/6 + 6\/(-9). Suppose 0 = -b*a - 3*a + 35. Solve -3*i = -a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/5 + 95484*v**2\/5 - 1290748626*v\/5 + 3477921708888\/5 = 0. Calculate v.\nAnswer: 3564, 22089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 6*f**2 - 5*f + 2. Let b be t(5). Suppose 2*c = -b*c - 5*q + 11, c + 2*q = 2. Solve -9 = c*h - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-71)\/(-4) - 36\/48. Suppose -22*x = -s*x. What is d in 0*d + 1\/2*d**4 + 0 + x*d**2 + 0*d**3 + 1\/2*d**5 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*h*l**3*t - 28235*h*l**2*t**3 - 3*l**3*t + l*t**3 + 1878*l*t + t**3 - 1 wrt h?\nAnswer: 48*l**3*t - 28235*l**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-33)\/21 + 165\/105. Suppose 7*k - 9414 = 4*k + 3*t, 0 = 2*t + b. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31719386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x - 368 = -38*x - 68 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**2 + 56*w + 61. Let g(v) = 2*v**2 - v - 1. Let k(c) = 2*g(c) + u(c). What is the derivative of k(l) wrt l?\nAnswer: -2*l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**3 + 9*v**2 - 3. Let w(g) be the second derivative of -g**5\/20 - g**4\/12 + g**2\/2 + 2*g. Let n(x) = k(x) + 5*w(x). Calculate n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3 = 2*z + z, -z = -2*y - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1720)\/74820)\/((-3)\/90*-5)\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/10 + (-6)\/(-4). Solve -2*u = -2*g - 0 + l, 0 = 3*u + 5*g + 19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 632 by -158.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 + -125 + (31 - 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 12830.\nAnswer: 1\/6415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1402 - 1405. Sort -41, s, 5.\nAnswer: -41, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 166*j**3\/5 + 156312*j**2\/5 + 99686*j\/5 - 11292 = 0.\nAnswer: -941, -1, 30\/83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1378340, 1378339, 1378338, 1378337, 1378336, 1378335?\nAnswer: 1378334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 318 and 530?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14710 + 1.711043?\nAnswer: -14708.288957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2048461455.\nAnswer: 3, 5, 3229, 42293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (-4 + -195161)\/9. What is the greatest common divisor of 594 and y?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 283738 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y**2 + 4*y - 2. Let f = -26 + 29. Is w(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*d + 1885 = 90*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 9056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-14)*52\/39.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-5 - 6) + 13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1025 - 1019. What is the least common multiple of 24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*j + 13*j + 25*j + 16*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**11\/z)\/z)\/z**(-6\/17))\/(z**(-16)\/z*z**(1\/13)) assuming z is positive.\nAnswer: z**(5807\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 120221212?\nAnswer: 120221301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1505*s**2 - 38*s**2 - 4*s + 4*s - 1354*s**2.\nAnswer: 113*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 72900 and -8.\nAnswer: -583200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -174689, -174701, -174713, -174725, -174737, -174749?\n\"Answer: -12*h - 174677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 - 10*j**2 - 20*j - 5. Let b be m(-9). What is b rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1105600 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40903806 greater than or equal to 40903805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let v(i) = 114440*i. Calculate c(v(y)).\nAnswer: -228880*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(77))\/(sqrt(7) + (sqrt(7) - (sqrt(7) + (sqrt(7)*2 - sqrt(7)))*-3) - sqrt(7)).\nAnswer: 3*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 10*a + 135. Calculate h(16).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 827302924 at least 827302925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 808 - 807.9. Which is the closest to -10? (a) 2 (b) -2\/15 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 287*w - 1958. Let l be m(-280). Find n, given that 184\/7 + 1110\/7*n**l - 50\/7*n**3 + 912\/7*n = 0.\nAnswer: -2\/5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 957577846*y**3 + 908016060*y**2?\nAnswer: 5745467076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 5*y - 3. Let o be k(-1). Let q = o - 3. List the prime factors of 1*(-2216)\/(-12) + q\/(-9).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1 + 0*u - 12 - 2*u + u. Let m be p(-7). Let i(h) = -3*h - 6. What are the prime factors of i(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 173600 (c) 291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310 - 113 - 84 - 113 + 20*f.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1748, 3, -2\/13, 4\/9 in descending order.\nAnswer: 1748, 3, 4\/9, -2\/13, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.7 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/1*(-5)\/(-2). Let l(f) = -9*f. Let c be l(n). Suppose j + 4*j = c. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -173*v**7\/7 + 188*v**3\/3 + 29. What is the third derivative of g(u) wrt u?\nAnswer: -20760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5, -173\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 4*x**2 - 3*x**2 + (3*x - x + x)*(0*x + 0*x - 2*x).\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -21*x**2 + 3*x + 9. Let f(p) = -5*p**2 + p + 2. Let b be (12\/12)\/(4\/(-36)). What is b*f(q) + 2*i(q)?\nAnswer: 3*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.2 + -12. Suppose 0 = -4*t + 20. Let w be (-2)\/80 - (-2)\/t. What is the third biggest value in 2, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.92056 grams in milligrams?\nAnswer: 11920.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*c + 2*c. Suppose c*x - 1608 = -474. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.14, 4, -0.13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1149, -2, -3, -36, 2 in descending order.\nAnswer: 2, 1, -2, -3, -36, -1149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w = 10*w + 32. Let c be ((-24)\/9)\/(w\/(-3)). Let l(u) = 3 - 2 + 27*u - c - 30*u. Give l(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 + 710 = -2*u. Let d = 250 + u. Let g = -120 - d. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1159907 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14879 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6281774929.\nAnswer: 77713, 80833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98404, -196814, -295228, -393646, -492068, -590494, -688924?\nAnswer: -787358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 l when four letters picked without replacement from poilippllpsolili.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, 32, 97, 198, 341?\n\"Answer: z**3 + 9*z**2 + z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 - 1 = v, -v - 24 = -5*t. Suppose 0*d = -5*n + 5*d + t, -3*n - 2 = -4*d. Solve -2*j + 2 = 3*o + n, 5*o - 5*j + 40 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, 8, 9 in descending order.\nAnswer: 14, 9, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffzzzzzffzffzzffz. Give prob of picking 3 z and 1 f.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2547 - 982. Let v be c\/45 - (-2)\/9. Solve 2*a - 10 = 5*w - v, -a = 2*w - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 8 = -2*h, 0 = 5*g - 3*h + 2*h - 4. Suppose 7*x - 5*x + 3*t = 11, 4*x - 2*t + 2 = g. Let a = -4 + 8. What is the nearest to x in -2\/15, -3, a?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**26\/f)\/f)\/f*f*f\/(f\/f**(-3\/28))*(f\/f**(-47))\/f**(-11\/6) assuming f is positive.\nAnswer: f**(6193\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3 - a**3 - 5*a**3 - a wrt a?\nAnswer: -54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 22. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, 23, 67, 161, 323, 571, 923?\n\"Answer: 3*a**3 - 2*a**2 - 3*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 31, 25, 1.3, -2\/9 in increasing order.\nAnswer: -2\/9, 0.1, 1.3, 25, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 1 (c) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 7*o = -304. What is the smallest common multiple of (o\/(-266))\/(4\/70) and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 109262\nAnswer: -1201882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-65315)\/(-25) - -5*(5 - 246\/50). Do 0.1 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 25*f**2 + 3*f - 5. Let i(n) = -26*n**2 - 2*n + 4. Let d(k) = 4*i(k) + 3*q(k). Let b be d(-1). Is b equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 5551.\nAnswer: 2\/5551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000163913562 to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.194, 5310\/31 in ascending order.\nAnswer: -2, 0.194, 5310\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g*x**4 + 38*g*x**3 - 881*g*x**2 + 8*g*x - 3*g + 2*x**4 + 271*x**3 + 6*x**2 wrt x?\nAnswer: -24*g*x + 228*g + 48*x + 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2799*m**3 + 7*m**2 + 26048*m wrt m.\nAnswer: 16794*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2768723 centuries to decades.\nAnswer: 2.768723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3956 divided by 1.\nAnswer: -3956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 197098615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15620, 31030, 46444, 61862?\n\"Answer: 2*z**2 + 15404*z + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 14*w + 2. Let z(v) be the first derivative of -32*v**3\/3 + 831. Give y(z(n)).\nAnswer: -448*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/2 of a milligram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 15. Suppose 0 = k - 1 - 4. Let h be v(k). Solve 0 = -h*i - i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2. Let h(b) = 2*b + 79 + 84 - 247 + 80. Give 4*a(u) + 2*h(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(325) - (-1*sqrt(325) + sqrt(325)))*3 + sqrt(325) + 5)**2*4.\nAnswer: 1120*sqrt(13) + 20996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.36 + -0.48. Let u = 1 + x. Round u to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**5 - g**4 + g**2 - g - 1. Let t(i) = 133*i**5 - i**4 - 24*i**2 - i - 1. Let r(b) = -o(b) + t(b). What is the third derivative of r(l) wrt l?\nAnswer: 8040*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + 1. Suppose -4*u + 2*j = -6, -3*u + 3*j - 2*j = -2. Let d = -37.2 + 37. Which is the nearest to u? (a) d (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 19*k - 2. Let z be h(2). Let t be (-4)\/18 + 80\/z. Suppose 4*a = 4*y + 4, -t*y - 3*y - 3*a = -27. Solve 2*v = y*r - 2*v - 2, -5*r - 2*v = -12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*(sqrt(833) + 0 + sqrt(833)) - (sqrt(833) - (3 + sqrt(833)*3)**2))*-2.\nAnswer: 588*sqrt(17) + 90072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/2, 2\/15, 1.1, -54.7, -0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Let r be 56 + -7 + 5 + -1. Suppose 0 = -5*z + y + r. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3583258 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -2b37d?\nAnswer: 2b374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8008\/(-429)*(-30)\/(-100).\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*2 + 418176\/(-26208) - 4\/(-7)?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -0.1 (c) 12460\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aed97b (base 16) to base 3.\nAnswer: -210120011201011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30214 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 10*f**2 + 11*f + 4. Let h(j) = -4*j - 13. Let r be h(-6). Is l(r) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**4\/z)\/(z\/(z\/(z\/z**3))*z))\/(z\/(z*(z\/((z**0*z*z)\/z))\/z))**(31\/2) assuming z is positive.\nAnswer: z**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -84 in 0.4, -68\/13, -1\/6, 0.06?\nAnswer: -68\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 - 54*o - 7. Let y be p(-12). Is y*(-1)\/2*(-34)\/17 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1 + -6 + 12\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 8*u**2 - 2*u + 6. Let m be o(8). Let z = m + 14. Suppose -4*q = -2*y + 2, z*y - 10 = y - q. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 + 0*j**2 - 1 + 0 + 11*j**2 - 6*j**2 + 2*j**2 + 0*j**2 - j**2 + 0*j**2 + (3*j - 3*j + 2*j)*(-j - j + 0*j).\nAnswer: 6*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 4 - ((-7 - -26) + -19)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -432, 3\/4, 0.1705 in descending order.\nAnswer: 3\/4, 0.1705, -5, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - 0. Let n = v + 9. Let q = -413\/5 + 83. Which is the second smallest value? (a) -0.5 (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*10\/60)\/(15\/796771). Let k = j - 17707. What is the common denominator of -103\/70 and k?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(14)\/((sqrt(28) + sqrt(7))*-1 - sqrt(7)) + ((3*(1*sqrt(2))**2 - sqrt(2)) + sqrt(2) - sqrt(2)) + 5 + 5.\nAnswer: -3*sqrt(2)\/4 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 140417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -2)\/(6\/136720). Suppose 0 = 3*l - 2*a - 450004, 5*l - n = 3*a + 681646. What is l rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 15*k + 22. Let o be l(18). Suppose 5*p - o = 154. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4754022 * -9\nAnswer: -4.2786198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 11998.\nAnswer: 35994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5975073 and 1055426.\nAnswer: 370454526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**2 + 8*o**2 - 4*o - 2*o - 2*o to q + b*o**2 + d*o and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0*u**4 + 7\/60*u**5 + 0*u + 5*u**2 + 0 + 14\/3*u**3. Differentiate n(s) with respect to s.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 6:28 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 61. Let x = -30 + f. Let g = x + -26. Which is the closest to -2? (a) 1 (b) -2\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 3:00 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 25393631*t. Let j(r) = r**2. Calculate j(l(u)).\nAnswer: 644836495364161*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 40*z**2 + 489*z - z**3 + 81*z**2 - 186*z - 40*z**2 + 3*z**3 to w*z + p*z**3 + s*z**2 + n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 181?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 201*b**3 + 4*b - 178*b**3 - 5*b to the form v*b**3 + q*b + x*b**2 + r and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.308 + 0.958. Let g = m + 16. Let l = g + 5.2. What is l rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i = -64. What is the remainder when 31 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/25 - 52\/(-10). Put 4, -208, d, 3 in ascending order.\nAnswer: -208, 3, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 5\/2, 0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(((-63)\/180)\/((-6)\/(-15))).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5999?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 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: What is the remainder when 5237 is divided by 581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from awtuwtttuttuuwut.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -24. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164095 is divided by 281.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7478257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.55788 minus 0.2?\nAnswer: 3.35788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9292*l**2 - 2 - 9270*l**2 + 2.\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -432000 rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (154*v**3 + 149*v**3 + 97*v**4 - 303*v**3)*(-1 + 9 + 0).\nAnswer: 776*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u**34*u*u)))*u*u*((u\/u**(-14\/3))\/u)\/u*(u\/(u**(-4\/29)*u))\/u**15)**6 assuming u is positive.\nAnswer: u**(-7690\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4182.714 - -4188. Round k to one decimal place.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*f + 823*b - 8*f wrt f.\nAnswer: -b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19837\/(-996) - 15\/180?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 - 23 - (8 + -3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (646596\/(-51))\/(-3) + 4\/(-34). Let s = w + -433. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**9\/2268 - b**8\/630 + b**6\/135 + b**5\/90 - b**3\/3 - 8. Let w(z) be the third derivative of r(z). What is t in w(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -2*o**3 + 11\/2*o**2 - 16\/3*o + 1\/12*o**4 + 154. Let l(w) = 0. What is w?\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*sqrt(49)\/(3*sqrt(7)))**2.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5692313053.\nAnswer: 7, 29, 28040951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-42)\/7)\/6)\/((-10)\/14)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57840 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(1\/42*-3). Suppose -9*w = -m*w + 750. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 30.77.\nAnswer: 3.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(125) + -1*sqrt(125) - (sqrt(125) - (-1 + sqrt(125)))*6 - (sqrt(125)*-2*6 - sqrt(125) - 4*(0 + sqrt(125) + sqrt(125))))**2.\nAnswer: -2310*sqrt(5) + 55246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 527.6 - 528. Sort 1\/5, q, -34, 4 in descending order.\nAnswer: 4, 1\/5, q, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29837 + 1474 = -497*c for c.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -40 + 40 + 4*w**2. Let k(h) = -3*h. Determine k(m(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4235244997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, r: 1, l: 6, f: 9}. What is prob of picking 1 r and 1 l?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**3\/3 + 2*r**2 + 13*r. Let f be z(2). What is the greatest common divisor of f and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180560735.\nAnswer: 5, 2399, 15053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + 17. Let d(y) = -y + 6. Let r(c) = c + 6. Let k be r(-10). Determine k*t(g) + 11*d(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 4)*(1 + 0 + 0)*(113 - 347 - 64)*(-k + 0*k - 2*k) to the form f*k + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8253 - 6*j**2 + 327 - 1371 + 3*j**2.\nAnswer: -3*j**2 + 7209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.182004 - -0.3.\nAnswer: 0.117996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1001100 (base 2) to base 11\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 210*g + 0 + 167\/12*g**4 - 17\/3*g**3 + 0*g**2. Find the second derivative of l(c) wrt c.\nAnswer: 334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -976*j + 31123 = -7709 - 36244 + 1876 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 526913384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.474803 and -0.08.\nAnswer: -0.03798424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from amwwmd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -868 - 3596 = -1488*f. Let z be (-22)\/152 - (-1)\/4. Which is the third smallest value? (a) f (b) -17\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311343 is divided by 177?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1449 + (-14 - 1)\/(-5). Suppose 10*n = 4*n + m. Does 43 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*i + 68029 - 68029.\nAnswer: 267*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.3 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/26 + 2\/13. Suppose 0 = -2*c + 3*p - 4, -j*p + 0 = -3*c + 4. What is the highest common divisor of 28 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - d + 3 = q, -11 = -5*q - d. Let a be (9\/q)\/((-2)\/(-4)). Let l = a + -5. Solve -l = -4*s + 5*y, -s + 0*s - 2*y = 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**4\/24 + 11*q**3\/6 - 28*q**2. Let d be a(-9). Solve d*u - 7 = 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149449\/21 - -7117. Let g(i) be the third derivative of l*i**3 + 0 + 2\/21*i**4 + 1\/105*i**5 + 0*i - 7*i**2. Factor g(j).\nAnswer: 4*(j + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/380 or 0?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.4597 to two dps.\nAnswer: 11.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10*n + 1. Let i(a) = a + 6. Let d(j) = -2. Let o(r) = -3*d(r) - i(r). What is 22*o(p) - 2*t(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**4\/8 + 25*x**3\/6 + 42*x**2 + 72*x - 85. Factor s(t).\nAnswer: (t + 1)*(t + 12)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212 - 11?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 34 = -3*i, -i - i - 26 = 4*x. Let u = i - -1. Let c be u + ((-7)\/(-2))\/1. What is the third smallest value in -2\/7, c, 1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 10:46 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*n = 110222 - 10205, -j + 2*n = -33339. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4486 is divided by 2228.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/9 (b) 4 (c) -14 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 236\/12 + 4\/(-6). Let b = 17 + s. Suppose c + 3*j = 9, -4*c + b = -4*j + 2*j. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -11. Suppose 3*t + t - 9 = -g*a, 5*t - 42 = 4*a. What are the prime factors of (-15)\/(-10)*44\/t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/519 in 4, 5, 1\/2, 0.93?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5250 divided by 250.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 0.14 (c) -13642\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*f - f = -11, -4*k = f - 14. Solve 0 = 3*w + 15, 29 = k*t - 2*w - 2*w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342065393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(sqrt(270)\/sqrt(6) + sqrt(40)\/(sqrt(8) + sqrt(72)) - sqrt(25)\/(sqrt(10)\/sqrt(2)*4)).\nAnswer: -6*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5652605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1151 divided by 66844\nAnswer: -1151\/66844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2040.3 + -1864. Let x = -176 + g. What is the nearest to -1 in -1\/6, -4\/9, x, 0.1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.617 - 9.2774. Let f = -3.167 + 1.567. Let u = f - i. Round u to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -433, -1225, -2017?\nAnswer: -2809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156.53259 months to decades.\nAnswer: 1.30443825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6163, -6183, -6223, -6289, -6387?\n\"Answer: -v**3 - 4*v**2 - v - 6157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -3.83, -1, -15, 2\/63.\nAnswer: -15, -3.83, -1, 2\/63, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75664 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -942.48407 rounded to 1 dp?\nAnswer: -942.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34984 - -1889255\/54. Find the common denominator of ((-57)\/(-45)*9)\/(114\/(-475)) and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from {t: 1, g: 4, x: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*p - 3*p - 3*p)*(-4 + 2 + 1) + p + 4*p - 4*p)*(721 + 322*p - 721) to the form c*p**2 + d + q*p and give c.\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*-2)\/(2\/(-10)). Let q be -2 + s + (0 - 0). Let z(h) = -h**2 + 43*h + 353. Let g be z(-7). Solve -9 = -g*x - 5*u + 1, -2*u + q = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(847) - (sqrt(42)\/sqrt(6)*1 - sqrt(7)).\nAnswer: 4 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(((-5217)\/481)\/47*6\/9)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - -2. Suppose o*g - 24*g = -245. What is the second derivative of 17*t - g + 14*t**2 + 245 wrt t?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r - 14. Let i(h) = 6*h - 15. Let q(y) = 6*i(y) - 7*v(y). What is the units digit of q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346519?\nAnswer: 17, 103, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*b. Let z be b\/8*16\/26. Do -1 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -301 + 300.6. What is the closest to -1\/6 in 0, 0.4, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -47, -109, -183, -269, -367, -477?\n\"Answer: -6*t**2 - 44*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -21, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/9)*b**(-3\/4)\/b)\/(b**(-1\/11)\/b)**(-26) assuming b is positive.\nAnswer: b**(-12101\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 1:57 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5 = -k, 4*d - 3*k + 0*k = 5. Let n(w) = d - 3 - 10*w - 2. Suppose 1 = -7*x + 8*x. Calculate n(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/(((-1)\/(-8))\/(204\/(-153))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3080)\/1540)\/(3*6\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*m = 44, 3*w - 11*m - 28 = -12*m. What is the remainder when 109 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158965 is divided by 138?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 2 (c) -13 (d) -4\/3 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.41426 less than -1.8111?\nAnswer: -192.22536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 519, 2098, 4941, 9042, 14395, 20994, 28833, 37906?\nAnswer: 48207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24954 divided by 2?\nAnswer: 12477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5117 - 0.5279.\nAnswer: -5117.5279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*714\/1088)\/(1\/8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -426001 + (7 - (4 - -2)). What is f rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 65. Solve s*w = w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174349 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -174*z. Let p(b) be the first derivative of b**2\/2 + 7*b + 3023. Give p(m(r)).\nAnswer: -174*r + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 plus 0.04?\nAnswer: 440.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**2*k*o - 2*f**2*k - 1660*f**2*o*q**3 - 2*f*k*o - 14*f*o*q**2 + 2*k*o*q**3 - 42*q**2 wrt q?\nAnswer: -9960*f**2*o + 12*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6323839ml?\nAnswer: 0.0006323839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-525)\/(-21) + 38 + -60. Let 2\/11*n**4 + 0 + 0*n**2 + 2\/11*n**5 + 0*n - 4\/11*n**z = 0. What is n?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10636436262 + 10636436149.99999881. Let p = -47 + 159. Let v = p + u. Round v to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 13*g = -4. Which is the smallest value? (a) -2\/5 (b) g (c) 3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13094 + -13099.849. What is s rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -37*k**3 + k**2 + 8*k + 17. Let l be (-7 - -10) + -6 + 0. List the prime factors of y(l).\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f**2 - 7*f**2 - 2 + 4 + 2*f**3 - 5*f**3 - 6*f**3 + 10*f**3 + (-3 + 3 - 2)*(-3*f**3 + 3*f**3 - 2*f**3) - 4*f**3 + 0*f**3 + 3*f**3.\nAnswer: 4*f**3 + f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 87.6 and 20.\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -0.7. Let a = h - 0.3. Let w be (-40)\/(-168) + (-74)\/111. What is the second smallest value in w, 18, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/4536761466 and 1\/6.\nAnswer: 4536761466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 + 25*v**2 + 331*v - 638. Give a(20).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1093086 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 3, 12, 0 in decreasing order.\nAnswer: 12, 5, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8225 = -4*d + s, s = 2 + 5. What is the remainder when d is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {x: 1, l: 1, w: 1, r: 3, p: 1, a: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/6 + 11*x**2\/2 + 145*x\/3 + 76 = 0. Calculate x.\nAnswer: -19, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 84 = -103. Let n(b) = -b**2 + 7*b + 27. Calculate n(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 104\/16 - (-6)\/4. Suppose -2*k - 3*k = 5*w, 2*k = -c. Let n(f) = -f**2 + 4*f + 1. Calculate n(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6684969?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4 (b) 8 (c) -0.85402\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 46 + 2. Let u be 0 + 3 + -4 + (m - -3). What is the tens digit of ((-18)\/(-8))\/(u\/(-448))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, k: 6}. What is prob of sequence gkg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**3 - x**2 + 818853*x - 6082450.\nAnswer: 6*x**2 - 2*x + 818853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2. Let g(w) = 2*w - 1. Let l(d) = -d**2 - 15*d - 45. Let x be l(-11). Let m(c) = -6*c**2 + 11*c - 3. Let j(a) = x*m(a) + 3*g(a). What is u(j(r))?\nAnswer: 36*r**4 - 60*r**3 + 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-20))\/((-6)\/15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*y - 24*y - 40*y + 0 + 0 - y + (0*y + 0*y - 2*y)*(0 - 6 + 4).\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**4\/18 - 2*i**3\/3 + 8*i**2\/3 - 25*i - 1. Determine z, given that f(z) = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**6\/360 - d**5\/15 - d**4\/2 - 16*d**3\/9 + 47*d**2\/2 - 97*d. Let m(y) be the first derivative of s(y). Factor m(v).\nAnswer: -(v + 2)**2*(v + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72437754*w - 72437907*w + 18972 = 0 for w.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x + 5. Let u be g(3). Solve 6 = -5*i + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 821*i - 282. Does 142 divide z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -34?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (2*sqrt(80)*-6 - sqrt(80)))\/(sqrt(270)\/sqrt(3)))\/((sqrt(196)\/sqrt(63))\/(sqrt(28)\/(sqrt(16)\/sqrt(4)))).\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*g - 5*k, 5*g - 17 = 5*k + 13. Suppose -3*j - g*l = -90, -l = -3*l. Suppose 10*q - j = 7*q. Solve -i = i + q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 10*p - 3. What is the remainder when 85 is divided by m(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11*f**3 + f**2 - 12*f - 13. Let p be h(-4). Suppose 2*z = 4*m + 760, -m + p = z + z. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 6, 4.6, 31 in increasing order.\nAnswer: 4.6, 6, 10, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 5*u = 47, -s = 5*u - 230 + 454 - 260 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2442200*b**4 + 139227*b**2 + 3*b?\nAnswer: 58612800*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 11. Let i(n) = -n - 10. Calculate -4*d(l) - 5*i(l).\nAnswer: l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12*(2\/3 + 0). Let f(w) = w**2 + w - 2. Let s be f(-3). Suppose 2285 = -3*t + m, -s*t - 3065 = -b*m + 3*m. Round t to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 123. Let g = z + -45. Does 26 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8 = 2*q, -w - 20 = 2*w - 5*q. Suppose 2*u - 55 = -3*b - w*u, -4*u + 15 = b. What is the remainder when b is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5261 (base 10) in base 6?\nAnswer: 40205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2369397 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002393105 rounded to six dps?\nAnswer: -0.000239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -436.4 - -303.5. Let f = d - -133. Is f at least 8.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 521 or 530?\nAnswer: 521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**7\/70 - w**5\/30 + w**2\/2 + 2. Let x(t) be the second derivative of v(t). What is the third derivative of x(c) wrt c?\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571085 is divided by 142754.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*z**3 - 102*z**3 - 110*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6732)\/(-1836)*2\/33)\/(1\/36*94).\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -18*r - 14. Let w be m(-11). Let u(z) = 4*z + z**2 + 2*z - 1 - 4*z. Let s be u(-6). What is the highest common factor of w and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9057584490 to the nearest integer?\nAnswer: 95171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2. Let o(v) = -7*v + 13. Let m be o(1). Let b(a) = -76*a + 51. Let r(n) = -25*n + 18. Let x(y) = m*b(y) - 17*r(y). Give x(g(l)).\nAnswer: -93*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -867, -1824, -2805, -3816, -4863, -5952, -7089?\n\"Answer: -p**3 - 6*p**2 - 932*p + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 h when four letters picked without replacement from uhhuhhh?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47293*r**3 - 43807*r**3 - 41504*r**3 + 124337*r**3.\nAnswer: -8267*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 323\/3 + -107. Let m(y) = -94*y**2 + y + 2. Let b be m(-1). Let q = b - -2419\/26. Which is smaller: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 449071806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 14*a**3 - 98*a**2 - 23*a + 83. Let r(g) = 5*g**3 - 33*g**2 - 8*g + 28. Let u(w) = 6*l(w) - 17*r(w). What are the prime factors of u(-27)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08807951 rounded to four dps?\nAnswer: -0.0881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 115 + -84?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s**3 - 6*s**2 + 1008*s + 4104 = 0. Calculate s.\nAnswer: -6, 57\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3 - 5. Let u = -16 + 11. Let w = u + 13. What is the highest common divisor of w and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15721264335266.45 - -15721251553147.47000026. Let v = 12782141.98 + o. Let x = v - 23. Round x to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**3 + 5*w**2 - 8*w - 7. Let n(u) = -u**3 + u + 1. Let g(m) = -6*n(m) - r(m). What are the prime factors of g(4)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*v + 123*v - 9*v - 4*v - 8*v - 7*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -45*u**3 - 11*u**2 - 33*u + 6. Let z(h) = -30*h**3 - 8*h**2 - 23*h + 4. What is 5*p(r) - 7*z(r)?\nAnswer: -15*r**3 + r**2 - 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 145 = 4*r - r, 95 = 2*r + g. Let w = 52 - r. Solve -5*o + 14 = -h, 12 = -3*o - w*h + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*x - 15. Let q be (-2)\/x*(-165)\/(-44)*6. Suppose 0 = 2*k - 175 - q. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 3. Let k be p(6). Let s(v) = 2*v**2 - v - 8. Is s(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xooxowxwxww. Give prob of picking 3 o.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -48. Let f = 0.06 + 12.94. Let w = -13 + f. What is the nearest to w in -5, g, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 707\/18 - 79\/2. Let y = 1.1 + -0.5. Let r = -2.6 + y. Does x = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41987, -167987, -377993, -672005, -1050023?\nAnswer: -1512047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**4\/4 + 7*a**3\/3 - 9*a**2\/2 - 8*a - 3. Let j be u(-8). Solve 5*z + 18 + 7 = j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2169\/36 + 2\/(-8). Suppose -4*f + 0*f + m = 0. Suppose -f = 8*y - 11*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -28*n + 27*n + 2*u, -3*u = -5*n + 45. Let x(w) = 33*w**2 + 2*w - 2. What is the smallest common multiple of x(-2) and n?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**5 + x**5 + 12*x**5 + x**5 - x + x + (2 - 2*x**4 - 2)*(x - 3*x + 3*x) - x**5 + 3*x**5 - x**5.\nAnswer: 19*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 453654.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/10 + -1\/60. Let f(b) be the first derivative of -2 - 1\/4*b + 0*b**2 + o*b**3. Solve f(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24636 divided by 9321?\nAnswer: 8212\/3107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) -3\/2 (c) -0.2 (d) -2\/739\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 2*s**2 - 4*s**2 - 22*s - 4*s**2 + 11*s**3 - 5*s**3.\nAnswer: 2*(s - 3)*(s + 1)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 56, 99, 154, 221, 300?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 52804, 52773, 52742?\n\"Answer: -31*m + 52835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 221 + 5*k - 139.\nAnswer: k + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11940 + -3418. List the prime factors of m.\nAnswer: 2, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(4\/16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -408 + 466. Solve c*p = 51*p - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t - 6087 = 7309. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-181.\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(21)\/(sqrt(6)\/sqrt(2)*2)*1.\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -21*y - 3. What is i(-2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -527*b**3 + b**2 - 2*b - 5. Let j(m) = -1053*m**3 + 2*m**2 - 4*m - 10. Let u(z) = 3*j(z) - 5*q(z). Find the second derivative of u(d) wrt d.\nAnswer: -3144*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9255870 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 23 + (1\/(-2) + 0)*(-137 - -137)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -18403089.\nAnswer: -7\/18403089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35672059, 71344117, 107016175?\nAnswer: 142688233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*q - 324\/5 + 2\/5*q**4 - 54\/5*q**2 - 6\/5*q**3.\nAnswer: 2*(q - 3)**3*(q + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Suppose -7 = 3*v - i*o, v + 5*o = o + 7. Let p = 240403\/2 + -120202. Which is the biggest value? (a) p (b) v (c) -2\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*z + 4. Suppose -7*j + 40 = -z*j. Suppose -2*c - 63 + j = -5*o, 2*o = 2*c + 16. Calculate the greatest common divisor of o and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -172*u + 1225 + 2731 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 1, -6\/7, -0.36, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 11*a. Let m(o) = -540*o. Let d(n) = -2*m(n) - 99*s(n). Let c(y) = 6*y. Give d(c(l)).\nAnswer: -54*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-4 + 10)) + (-2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6803 = 6833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217613158?\nAnswer: 2, 7, 17, 29, 41, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 182 + -76. Let f = d - 1. Does 37 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10110110011 (base 2) to base 6\nAnswer: 10431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 354 and 1651410.\nAnswer: 1651410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, -52, -103, -174, -265, -376?\n\"Answer: -10*d**2 - d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 27?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010003021 (base 4) in base 16?\nAnswer: 1040c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7083976 years?\nAnswer: 0.0007083976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11114991 to the nearest integer?\nAnswer: 3334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1887520 divided by -47188.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -1) + 31 + 19. Suppose q*x - 51*x - 118 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from etwtggerzgt?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**14*k)\/k)**29*(k**(-5))**(4\/3) assuming k is positive.\nAnswer: k**(1198\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 36 = -s. Let z be (s\/(-75))\/(2\/(-5)). What is the closest to -1 in -0.3, 1, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 21*o**2 - 37*o + 58. Calculate w(-19).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -229 - -224.92. Let r = 3.08 + z. What is the nearest to r in 2, -2, 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5481799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7464 - -7490. Suppose 5*b + 215 = -0*b - 5*z, -203 = 5*b + 2*z. Calculate the remainder when j is divided by b\/(-4) - (-1)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 4*c**2 - 7*c - 10. Calculate n(-5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2907*n - 101*n**2 + 110*n**2 - 2906*n.\nAnswer: 9*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 21*c**2 - 5. Let m(x) be the second derivative of -5*x**4\/6 + x**2 + 487*x - 2. Give 5*m(u) + 2*r(u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 10:00 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*r**4 + 63*r**2 + 4*r.\nAnswer: -960*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 32 = -2*x, -3*y = 300*x - 303*x + 51. Calculate the remainder when 159 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -221803\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 29. Let v(z) = -z**2 + 125*z - 4. Let y be v(0). Let r(b) = 7*b**2 - 9*b + 7. Let c(f) = -3*f**2 + 4*f - 3. Determine d*c(w) + y*r(w).\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4482033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -4513064.\nAnswer: -3\/4513064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 + s**2 + 143*s - 15. Does 6 divide o(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 1745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = f - 3*f. Suppose -41 = -4*g + 6*v - v, -4*v - f = -4*g. Calculate the lowest common multiple of 18 and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2))**(-25)\/(i*i**(-2)*i)**(5\/6)*((i*i*i*i\/(i\/(i*i\/(i*i**(-3)\/i))))**(25\/3))**(-2\/145) assuming i is positive.\nAnswer: i**(2015\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m**0)\/(m**(-1)*m)**45)\/((m*m**(-1\/3)\/m)\/(m**(-2\/3)\/m)*(m*(m**2*m*m)\/m)\/(m**0*m)) assuming m is positive.\nAnswer: m**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (5*(sqrt(136)*-2 + sqrt(136)) - sqrt(136)))\/sqrt(8) - (sqrt(136) + (sqrt(136) - (sqrt(136)*-2*5 - sqrt(136))))\/sqrt(8).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1508 and 464.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -128\/7 - 1\/7*d**3 - 96\/7*d - 18\/7*d**2 = 0. Calculate d.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17404?\nAnswer: 2, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*r + 2712, -5*z + 4*r - 294 + 4841 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/64)\/((-5)\/(-4)). Let c(a) = -a + 1. Let i be c(1). Suppose -2*r + 7 = -3*y - i, -y - r + 6 = 0. Which is greater: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221325 (base 6) to base 7.\nAnswer: 360626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) 5 (c) 4\/3 (d) -2 (e) 1\/51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 7:02 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkyykyyyky. Give prob of sequence yyk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 13*h**2 - 20*h - 19. Calculate c(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*j - 1 + (j + 1 - 1)*(0 - 1 + 3))*(6*j**2 - j**2 + j**2) as d*j**3 + t*j**2 + c + x*j and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 75, 277, 605, 1053, 1615, 2285?\n\"Answer: -k**3 + 69*k**2 + 2*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 5)\/((-4)\/20) + 13. Let l be (-5)\/(5\/(-2)) + 1. Suppose -3*i = -a - 2*i + l, 2*a = -2*i + 6. Solve 0 = -z + a*z + s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/114 - (-5445)\/25650.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*z - 5*z. Suppose 5*n = 4*s + 710, n + 0*s - 142 = -2*s. Is z\/12 - n\/(-6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((((u**(1\/4)\/u)\/u)\/u)\/u*u))**(-9\/8)*((u\/(u\/(u*u**(-1\/4))))\/u*u)**(4\/23) assuming u is positive.\nAnswer: u**(-3837\/736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -428, -875, -1348, -1853, -2396, -2983?\nAnswer: -3620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - -76.7. Let m = o + -7. Let t = -4 - 0. Which is the nearest to -0.1? (a) -0.07 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.3237 - -15.3237. Let t = 5 - 8. What is the nearest to 0 in y, 0.349, t?\nAnswer: 0.349","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -8*t - 8*t**2 + t**2 + 4*t**2 + 2*t**2. Let h be u(-8). Suppose 6*x - 3*x - 51 = h. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 10. Let h(a) = a**2 - 2*a + 1. Let t be h(1). Let o be (-24)\/3 + 2 + t. Let y be m(o). Solve -2*d - 5*k = 25, -14 - 23 = 5*d + y*k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17553997213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 45*y + 265. Let u be l(-38). Which is smaller: u or -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1. Suppose -5 = 4*y - 101. Suppose -3*h = h - 4*t - y, -2*h - 4*t = 18. Let k(r) = 4*r + 2. Calculate h*k(a) + 2*d(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**5 - 4*x + 3*x**5 - 28*x - 4*x**5 wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + 7 = 14*s + 37 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/12 + 5\/(-15)*3. Which is the nearest to -5? (a) 3 (b) -0.3 (c) 0.4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 360142775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 7 - -6 - (0 + 4). Let g be x + (0 - 0) + 3. Solve 3*j + 2*j + 20 = g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -5. Suppose 0 = q - p, 7 = -5*q - i*p - 3. Let k be (q - 2)*(-8)\/(-60). Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 77.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 346 + -342. What is the remainder when 36 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 equal to 4272326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2038a + -8?\nAnswer: -20397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = 13*i + 2*i + 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f + 17*f**2 - 16*f + 7*f.\nAnswer: 17*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**1*x)**(-49))**(8\/11)\/(x**(2\/19)\/(x**11\/x))**(1\/12) assuming x is positive.\nAnswer: x**(-21827\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = l - 5 + 17, t = 4*l - 9. Solve -k = -x, -x - 5 - 3 = -t*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**4 + 1320*w**3 - 5355*w**2 + 1370*w + 8040 = 0?\nAnswer: -268, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -151 times 20338\nAnswer: -3071038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144752 and 217128?\nAnswer: 434256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*(-3*(sqrt(5) + 1 + sqrt(5)) + -2)*-6)**2.\nAnswer: 52200*sqrt(5) + 183025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*f + 3347 + 224 = -509 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -118483, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2106)*1)\/((-3*sqrt(384) - sqrt(384))\/sqrt(12)).\nAnswer: -9*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65081364 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 24 = -2*l, 19*q - 20*q - 12 = -2*l. Suppose -l*p + 4*z = -552 - 116, 0 = 2*p + 3*z - 324. List the prime factors of p.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hibk when four letters picked without replacement from {b: 2, h: 2, w: 2, k: 4, i: 2, f: 3}.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -51*z**5\/20 + 97*z**4\/12 - 115*z. Find the third derivative of i(p) wrt p.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 12*l - 9. Let k(i) = 2. Calculate 5*k(o) + x(o).\nAnswer: 12*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 3:28 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2474 + -1499. Let x = 1635 - q. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 228697\nAnswer: 228697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**2 + 44. Let s(t) be the second derivative of -3\/2*t**4 + 0 + 0*t**2 + 8*t + 0*t**3. Give a(s(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*c**2 + 50*c - c**2 + 125 + 13*c**2.\nAnswer: 5*(c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*v - 4*v - 3 as r + q*v and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 15*i + 114. Let v be f(-3). Let o = 101 - v. Solve -3*c = -4*x + o, -c + 3*x - 19 = -0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72 in -1\/35, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130684*i**4 - 4*i**3 - 238*i**2 - 8238*i?\nAnswer: -3136416*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3003 - -15?\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2779*k**2. Let o(l) = 20*l. Determine o(p(z)).\nAnswer: 55580*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.63 (b) 15 (c) 3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + -0.3. Let v = -0.18 - -0.18. What is the nearest to v in 1, 0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/15*-2*(-15)\/60.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjvvvvccjjjvvvjvvj. What is prob of sequence jc?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 10 = 2*z. Suppose c = -1 + z. Calculate the smallest common multiple of c and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50 - 32d056?\nAnswer: -32d006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 1 + 1 + 2*k - 2 to s + v*k + q*k**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n + 63. Suppose -4*f = -2 - 6. Suppose 7*a = f*a + 70. What is the greatest common divisor of n and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*w + 37 = 0. Let u = w - -1. What is the first derivative of 60*l**2 - 29*l**2 + u - 34*l**2 wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12791 is divided by 757?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/120 - 13*d**5\/30 + d**4\/12 + 55*d**3\/6 - 9*d**2 - 120*d. Calculate c(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 17*l**2 - 93*l + 808. Give f(13).\nAnswer: 2472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4904676 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -32*n - 504. Let j be x(-24). Suppose -3*d = 3*l - 2*d - 71, 121 = 5*l - d. What is the highest common factor of l and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41999 + -360. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 10 = -4. Factor 5*b - 40*b + z*b**2 + 23*b.\nAnswer: 3*b*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 7:46 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/q**12*q)*q))\/((q**(13\/5)\/q)\/q*q))\/(q\/((q*(((q\/q**3)\/q*q)\/q)\/q*q)\/q)*q*q**(-10)*q) assuming q is positive.\nAnswer: q**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - -31 - (-7 - (-3 - -6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15*(-60)\/45)\/(4\/(-14)). Suppose g + 35 = 5*b - 12, -4*b + 3*g = -31. Let c be b\/n*(1 + -13). Is -2 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b0908 (base 13) to base 9\nAnswer: 1256335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43472101, -86944201, -130416301, -173888401, -217360501?\n\"Answer: -43472100*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a = -5*n, -3*a - 12 = 3*n. Let l be (-126)\/(-35) + (1 - a)*-1. Suppose 0 - l*r**2 - 3\/5*r**3 + 3\/5*r**5 + 0*r + 3\/5*r**4 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350719 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 111*q**2. Let k(b) = -2198*b**2. Calculate k(r(y)).\nAnswer: -27081558*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 229\/4 - 57. What is the closest to 5 in -2\/3, 1\/8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3968 + 0.1?\nAnswer: 0.4968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*v + 0)*(-2*v**2 - 3*v**2 + 4*v**2)*(-v - 5*v + 5*v)*(0*v + 0*v - 5*v)*(3 - 7 + 6).\nAnswer: -30*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77887273 take away -0.3?\nAnswer: 77887273.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**5\/60 + m**4\/12 + 7*m**3\/6 + 52*m**2. Let c be z(-2). What is the greatest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 - 10*o + 2. Let w be k(5). Calculate the highest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 2. Let r be m(0). Let d(k) = -229*k - 30. What is the units digit of d(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msew when four letters picked without replacement from wwensnm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, q: 1, t: 2, x: 1, g: 2}. What is prob of picking 2 y and 1 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 - 10*t**2 - 16*t**3 - 41*t**3 + 140*t**3.\nAnswer: 83*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 24*d**2 + 4*d + 113. Is k(-13) a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-2)*(1 + 508\/(-20)). Let m = o - 57. Does 23 divide (6 + m\/(-4))*46\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*2*14\/(-8). Suppose -407 = -14*w + 699. Let z = -51 + w. What is the highest common divisor of b and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (592\/666)\/(264\/(-3762)).\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710317 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o**2 + 2*o**4 - 4*o**2)*(4 - 6 + 1) + 0*o**4 - 2*o**4 + 0*o**4 - 46*o**4 - 23*o**4 + 5*o**4 to g*o**4 + s*o**3 + f*o + t*o**2 + w and give g.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372012725?\nAnswer: 5, 7, 29, 73303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-2))\/(1*-1). Suppose 3*i + 228 = i. Find the common denominator of -7\/11 and x + i\/22 + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-20) + (-1 - (-1)\/4). Let f(n) = -n**2 - n + 112. Let a be f(-10). Sort h, a, -3 in increasing order.\nAnswer: -3, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -4*j**4 + 10\/3*j**6 - 29 - 6*j**3 - 2*j**2 + 0*j + 18\/5*j**5. Find m, given that l(m) = 0.\nAnswer: -1, -1\/2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 865466531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 787 + -739. Let y(t) = t**2 - t + 46. Let b be y(0). Let o = z - b. Solve o = 3*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -46*r**3 + 2*r**2 - 11*r + 302. Let w(i) = 156*i**3 - 7*i**2 + 38*i - 1056. Calculate 5*w(g) + 17*z(g).\nAnswer: -2*g**3 - g**2 + 3*g - 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 15*m - 88. Let d be y(6). Let g(k) be the first derivative of 2*k + 5\/2*k**d + 3. What is g(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3738268 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z + 104 = 23*z. Let k(w) = -w**3 - 2*w**2 + w + 4. Let x(u) = 3*u**3 + 7*u**2 - 4*u - 12. Give z*x(h) + 7*k(h).\nAnswer: -h**3 - h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 7847484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 1\/2*f**2 + 3 + 0*f - 2\/3*f**3 - 3\/4*f**4. Find p, given that u(p) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-3 - -5)) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.44 + -0.24. Let o = -5.6 - -6. What is the third biggest value in 0, s, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y - 73. Let h be v(-25). Is 6\/2*(h\/(-6) + 6) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**4 - 32*q**3*w + 2*q - 53*w wrt q.\nAnswer: 36*q**2 - 192*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/32640 and 141\/70.\nAnswer: 228480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 29. Give g(7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53 + 23355?\nAnswer: 23452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 10. Suppose 0 = 2*r + 5*j - 12, -2*j = 4*r + 2*j - 48. What is the remainder when r is divided by z(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7220 + -7209. Let n = 5 - 1. Suppose -q = h - c + n, 4*h - 2*q = 52. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 176*x - 177*x - 86 = 0, n + 2*x = 17 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - l = 0, 5*w - 34*l + 38*l - 9 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 7*h**4\/12 - h**3 + 14*h**2. Let t be v(-3). Let j = 13 - t. List the prime factors of j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1310 (base 8) to base 11\nAnswer: -598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnwndwwdnwdnwyn. Give prob of picking 1 d, 1 y, and 2 w.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1644246850 to the nearest one million.\nAnswer: 1644000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*j - 4*j. Let v be j\/(-28) + 88\/14. Let u = -5 - -11. Solve 3*i = v*i - u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, w: 1, s: 6, k: 2}. What is prob of sequence wcsk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + 2*h**3 - 3*h**3 + (-h**3 + 3*h - 3*h)*(5 - 4 - 2) + (9 + 12 - 8)*(h**3 + 18*h**3 + 15*h**3).\nAnswer: 438*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = -9*y - 159 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - j - 4. Let q be x(-4). Suppose 0 = -q*y + 27*y + 405. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g**3 - 35*g**3 - 2*g**3)*(-1 - 2 + 6) to the form z + x*g**3 + y*g**2 + a*g and give x.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 5:42 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*s + 302*s - 136 = 0. Suppose 124 - 311 = s*m. Suppose 1 - 5 = -2*x. Sort x, m, 3.\nAnswer: m, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1898.755 decades?\nAnswer: 18.98755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(68)\/sqrt(4) + 2.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/(-21) + 3)\/(2\/30). Suppose 26 - x = -4*a. Solve -3 = 3*h - a*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -41\/9*r - 1\/9*r**3 + 14\/3 + 4\/3*r**2 = 0.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 9394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2809 + 2322 + 727 = -202*x for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1984 or 1946?\nAnswer: 1946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 19*d**2 - 2. Let q(y) = 76*y**2 - 9. Calculate -9*k(s) + 2*q(s).\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-20)*(-5)\/2. Suppose 3*l - w*o - 30 = 0, -4*o = l + 3*l - 40. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - -3) + -5*(-3 + 4). Suppose n*h + 2*s + 2*s = 2212, -2*h + 874 = -2*s. What is the least common multiple of h and 8?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 16. Solve -3*y - 6 = f*d, -4*d + 4*y + 3 + 5 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 18 = -12*u. Let y(b) = -b**2 - 6*b - 5. Let t(w) = -1. Let d(p) = -4*t(p) + y(p). Let v be d(u). Let c(h) = -3*h**2 + 2*h + 1. Calculate c(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, g: 1, y: 3, n: 2, h: 4}. What is prob of sequence nn?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*y - 172, 2*o - 3*y - 80 = 90. Suppose 5*v - o = v. Let u = -16 + v. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 4*i = 6. Let f = -10 + 4. Let j(y) = -5*y - 8. Let t be j(f). Solve -5*z + t = 3*w, i*z = z + w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b4 + -5?\nAnswer: af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 344*s**2 - s + 295*s**2 + 2*s as q + m*s**2 + j*s and give m.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:26 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 + 0 = 0. What is the third smallest value in 0.3, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from uhwyeeu.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.134146292 rounded to 5 decimal places?\nAnswer: 0.13415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 71*v + 608. Let q be o(10). Let u = -5.98 + -0.02. Let m = -2 - u. What is the closest to -0.1 in q, -0.14, m?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456859 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13651181.\nAnswer: 1741, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*4*5\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**5 + 12*b**4 - 3*b**3 - 12*b**2.\nAnswer: 3*b**2*(b - 1)*(b + 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9750.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (-163 - 40)\/7\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -779*m + 799*m - 232 + 32 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -11*b + 3*b - 3*b + 2*b + 15. Suppose 14 = -3*r + 3*n - 16, -3*n + 9 = 0. Does 24 divide k(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 293 = -3*k, 3*m + 0*m - 178 = -4*k. Let l = m - 58. Factor l + 0*y + 0*y**2 + 1\/4*y**3.\nAnswer: y**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1735\/(-35) - (-1 + 6\/14). Let f = 60 + g. Let t(d) = 4*d**2 + f*d**2 - 12*d**2. Let u(j) = -6*j**2. Determine u(t(v)).\nAnswer: -54*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 4:39 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100322 - 2322310021?\nAnswer: -2323011003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-6120000)\/(-238) + -29 - 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 191*q + 1262. What is d(-6)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**2 - 13*g + 82*g**2 + 2*g**2 + 431*g + 43*g**2 wrt g.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-597 + 1 - 41 - 304 - 184)*(0*h - 3*h + 2*h).\nAnswer: 1125*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134.71684 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 31. Let g be v(28). Let j = g - -7. Suppose 0 = -4*x + 2 + 2. Sort x, 2, j, 5 in ascending order.\nAnswer: x, 2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 683? (a) -36 (b) 6 (c) 0 (d) 0.5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 166298 to the nearest 1000.\nAnswer: 166000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 894 * 88\nAnswer: 78672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**4\/4 + 5*d**3\/3 + d**2\/2 + 8*d - 11. Determine j(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14641093.7 less than -0.9?\nAnswer: -14641094.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 - i - 185*i - 119.\nAnswer: -186*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.114321 to three dps.\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -0.09, 1\/2 in ascending order.\nAnswer: -0.09, 1\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-28) + 26\/7. Let n be -7*-9*4\/21. Let c = b + n. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 159637044?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 8:05 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 434\/(-4)*(-8)\/6*675\/(-6300)?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 35005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5523.48 and -6?\nAnswer: 5529.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1465 * 1\nAnswer: -0.1465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5, -40, -101, -188, -301, -440, -605?\n\"Answer: -13*q**2 + 4*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -82*h - 2373. Let z be o(-29). Let s = 23 - 22.1. What is the third biggest value in -0.5, z, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.08, -0.1, 0.3.\nAnswer: -0.5, -0.1, 0.08, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -22. Suppose 4*s + 5 - 1 = y, -y = t*s - 4. Suppose y*d - 17 = 31. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2*1)\/(300\/(-250)))\/((-1)\/15).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r - 20*r**3 + 3*r**3 + 8*r**3 wrt r?\nAnswer: -54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100000000010101111 (base 2) to base 3\nAnswer: 20200001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7))**(2\/113)*h**(2\/23)*h*h\/(((h**(1\/6)\/h)\/h)\/h))**(-1\/2) assuming h is positive.\nAnswer: h**(-536537\/218316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14)\/(100\/4900)*15\/21 + 15\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -145, -309, -475, -643?\nAnswer: -813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 12:09 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -137 from 252484848.\nAnswer: 252484985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 * -10879509.\nAnswer: 402541833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10*b**2 + b. Let p(v) = v**2 - v. Let y be p(2). Suppose -3*f + y + 1 = 0. List the prime factors of o(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 980 - 13721\/14. Let l be 1 + -3*21\/(-3). Let m = 21 - l. What is the biggest value in m, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g - 8, 24 = 3*y + 3*g. Suppose -1 = h - 10. Calculate the remainder when h is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(133)*-3*-5)\/(sqrt(847)*-3*-4))**2.\nAnswer: 4275\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -17 + 22 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0.059 (b) -0.1 (c) 3 (d) 4\/13 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 44 + 161. Suppose -3156*u - 2*b + 27 = -3155*u, -u + 59 = -2*b. Do u and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 16*q**2 + 4. Let b be r(-16). Let x be 2\/(b\/5)*2. Suppose -x*n + 6*n - 216 = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-56*w - 135*w - 16*w - 85*w - 136*w)*(11 + 7 - 3) to the form k*w + p and give k.\nAnswer: -6420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4224 (base 7) to base 13\nAnswer: 8a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express l - 2*l + 8*l + 4*l - 9*l + 7 as y*l + u and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.1 and -21278.728897.\nAnswer: -21270.628897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 - 0) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/111)\/(4\/18)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7 - -0.2. Let l = z + -4.4. What is the nearest to 0.1 in l, -3, 9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -32*c**3 + 333*c**2 - 512*c - 2802. Let s(u) = 20*u**3 - 208*u**2 + 320*u + 1752. Let d(h) = 12*r(h) + 19*s(h). Factor d(x).\nAnswer: -4*(x - 7)*(x - 6)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(-1*(-1 + 2)) is divided by (2 - 6)*1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t - 5. Let n(i) = -6*i - 3. Let w(v) = v**3 + 2*v**2 - 9*v + 1. Let o be w(-4). Let k(a) = o*n(a) - 3*u(a). Let c(d) = 3*d. Give c(k(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48770.\nAnswer: 2, 5, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -974*f**2 + 847384*f - 3480.\nAnswer: -2*(f - 870)*(487*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-28)*-5*(-1200)\/2250?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from jjhjjjjffjjjffjh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -23*l - 5 - 13*l**2 + 9 - 2*l**2. Let i(w) = 46*w**2 + 69*w - 11. Let y(q) = -4*i(q) - 11*k(q). Find the second derivative of y(s) wrt s.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895\/39 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (28 - 24 - (-3 + (1 - 2)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012867863 to 6 dps.\nAnswer: 0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-368)\/20 - (12\/(-15))\/2. Let j = s + 20. Factor 0*o + 0 + 4\/7*o**4 - 2\/7*o**3 + 0*o**j - 2\/7*o**5.\nAnswer: -2*o**3*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5400)\/(-53550))\/(2\/7))\/(20\/1020).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56106257 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407738?\nAnswer: 2, 203869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 86967 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 v = 46 - 40. Suppose 4 = h + m, -2*h + 17 - 4 = -3*m. Solve l - 2 = -0*l + h*c, -l - 3*c = v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = -8. Suppose 11 - 2 = 3*s - 3*g, -q*s + g + 7 = 0. Factor 2*b**4 + b**s - 5*b**4.\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (19 + -7 + 4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 + -1.54. Let s = i + 2. What is the second biggest value in 2, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28762*m**3 + 301700?\nAnswer: 86286*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3310, 3308, 3304, 3298?\n\"Answer: -p**2 + p + 3310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4756495805 a multiple of 18143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 498319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1427?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456191206.\nAnswer: 2, 9241, 24683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*x + 3*b, 0*b = -5*x + 2*b - 37. Let j = 6 + x. Let d be 4\/(-10) + (-56)\/35. Which is bigger: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h = -4*o + 87 + 23, -3*o - 1593 = -2*o - 3*h - 1562 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2))**(-2\/57) assuming v is positive.\nAnswer: v**(2\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*q + 13403 - 19633 - 12794 = 0 for q.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*k**4 - 5*k**4 + 0*k**4 - 2*k**2 - 26 + 3*k**4 wrt k?\nAnswer: -24*k**3 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -126*g**3 + 11*g**2 + 57*g + 62. What is the smallest common multiple of r(-2) and 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21833301*b**3*o**2*t - 2*b**3 - 8572*b**2*o*t + 313*b**2*t wrt o.\nAnswer: -43666602*b**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6 - (-573)\/6. Suppose -3*r = -x + 30. Suppose -r*t = -27*t + 380. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, d: 6, b: 4}. What is prob of sequence bbqq?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, l: 1, b: 1, a: 2, d: 10, u: 2}. Give prob of sequence bul.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2 - s + 1. Let t be i(1). Suppose -200 = -t*u + 2*u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 4. Let w(i) = i**3 - 10*i**2 + i - 5. Let q be w(10). Put q, z, -2 in increasing order.\nAnswer: z, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.973 minus -299?\nAnswer: 279.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -13*n**4 - 4*n**3\/3 + 150*n**2 + 25. Find the second derivative of b(q) wrt q.\nAnswer: -312*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 1. Let c be r(1). Is 12 a factor of 2\/c - (-318)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -721*c + 36071. Give n(50).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 4:07 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26795 divided by 1165?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 7:57 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3273 - -458?\nAnswer: 3742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 2. Let b be g(0). Let a = -1115\/8 - -139. What is the second biggest value in a, 0, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66849672 divided by -4?\nAnswer: 16712418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**3*w + 2638494*d*w**3 + 33*w**3 - w**2 + 175*w + 5 wrt d.\nAnswer: 3*d**2*w + 2638494*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/17)\/m)\/(m*m*m**(-2\/5)))**(2\/85) assuming m is positive.\nAnswer: m**(-292\/7225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -970 less than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*k**2 - 149\/2 + 147\/4*k.\nAnswer: (k - 2)*(k + 149)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -31)\/(-2 - 0). Let z = d - 1. Suppose 0 = 8*q - z - 153. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/o**0)\/(o**(-2))**(-19))\/((o**(6\/11)*((o\/(((((o\/(o*o**(-1)*o)*o*o)\/o*o)\/o)\/o)\/o))\/o)\/o)\/(o**(-1\/2))**(10\/7)) assuming o is positive.\nAnswer: o**(-3100\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:42 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.07, 8, 1201?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-13)\/(m**9\/(m**1\/m)))**(-46) assuming m is positive.\nAnswer: m**1012","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*d = -21, 5*z - 38*d + 40*d - 53 = 0. Solve -21*b - z + 93 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/108*189\/12*12\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from ytyuuuuuuucutytatuu?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 423 and 603.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52.48 + 52.38. What is the nearest to -0.5 in b, 0.2, 21?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3.4. Let k = 8.9 - 6.9. Which is the nearest to -0.1? (a) 6 (b) w (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 15*z = j - 29, -z + 18 = 4*j. Solve -27 = -z*y + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 48 + 10 - -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**3 - 45*p**2 + 40*p + 13. Calculate t(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 4 - (2\/1 + 2). Solve -4*y + g + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -384040 in -5, 1\/2, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.2331219 to zero decimal places.\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.2 (c) 200.5676 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574 at least as big as -695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12)\/(5327\/(-483)*-1 + -11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17524 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r - 7 + 4 - 7 - 19.\nAnswer: -11*r - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**7\/630 + g**5\/6 - 5*g**4\/6 + 14*g**2. Let m(x) be the second derivative of b(x). Differentiate m(h) wrt h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (84\/7 - 4) + 6 + 14087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 11402 + 5518. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 63.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27914.89 hours to seconds.\nAnswer: 100493604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4623, 3708, 1221, -3624, -11613, -23532?\n\"Answer: -131*p**3 + 2*p + 4752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*2*(sqrt(343) - sqrt(343)*-3).\nAnswer: -4 + 280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -3)*1\/42*2. Let r = 3158\/7 - 452. Let i = k + r. Are -6\/5 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5*(-208 + 213 + 75)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/2 + (-4)\/1. Let j = 82 - x. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/658 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13220 - 31303230?\nAnswer: -31230010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, a: 9}. Give prob of picking 2 a and 2 b.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 5*r + 16, -20*r - 20 = 5*s - 23*r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23413, 23346, 23279, 23212, 23145, 23078?\nAnswer: 23011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 22 = 4*m. Suppose 2508 = -5*k - i, -5*k - 627 = 5*i + 1873. Let d = 508 + k. What is the highest common divisor of d and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 10*f**2 - 11*f - 8. Let d be 2\/4 + (-144)\/32. Let c be r(d). Solve c*y + 4 + 16 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 8. Let v be g(-15). Differentiate 6 + v*w**4 - 13 + 9 with respect to w.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - (18 + -8 + 21)) + (1 - 0) + 12.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 2. Put -4, o, 0.5 in decreasing order.\nAnswer: 0.5, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -1\/2, -1\/69, -3\/7, -0.1418?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -409, 5, -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 97\/60*b**5 + 0*b - b**2 - 25\/12*b**4 - 69 + 0*b**3. Find the second derivative of x(v) wrt v.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34232156, -68464313, -102696470, -136928627?\n\"Answer: -34232157*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (461 + 44 + 799 - 215 + 534)*(-2*z**2 + 3*z**2 - 3*z**2).\nAnswer: -3246*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.608062491 to 1 decimal place.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*y + 4*y - 5*y)*(-17 + 17 - 5*y) - 2*y**2 - y**2 + 2*y**2 + y**2 + 0*y**2 + 0*y**2)*(-4023 - 2*y + 3*y + 2817)*(4 - 3 + 3).\nAnswer: -40*y**3 + 48240*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (2 - (-5 - -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/22 + 852\/33.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 12:50 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(0*y + 4*y + 0*y)*(3*y**2 - 4*y**2 - y**2) - y**3 + 0*y**3 + 0*y**3.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35178789 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248545 and 2464.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1859, 6, 2, -324 in increasing order.\nAnswer: -1859, -324, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -89893618 - -0.08612?\nAnswer: -89893617.91388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 8*c**2 + c + 1. Let v be n(-8). Let j(d) = d**3 + 8*d**2 + 7*d + 5. List the prime factors of j(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6953738 * 0.5\nAnswer: -0.3476869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 9*q**2 - 11*q + 5. Let w be c(10). Let f be (w\/2)\/((-9)\/12). Let 16\/9*p - 32\/9*p**4 - 16\/9*p**3 + 2\/9 + f*p**2 = 0. What is p?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18591.42ml to litres.\nAnswer: 18.59142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffffaefaffeffa. Give prob of picking 2 a and 1 f.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + sqrt(425) + 1 + 2)*4)**2*-2.\nAnswer: -54688 - 1920*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 - (-17 - -31) - (-6 - 1 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f**2. Let p(j) = -9 + j + 9. Determine m(p(x)).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 3*m = m + 23, 2*q + 5*m = -23 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43464 (base 7) in base 2?\nAnswer: -10101001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1055 - 997. What is the greatest common divisor of o and 1073?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 8. Let h be g(6). Let p be (-3*h)\/(-3) + 0. Solve -8 = 3*q - p*f, 5*q + f + 16 = 5*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6849*r**2 - 20*r - 9. Let q be l(-3). Suppose -q = -139*m + 127*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -40. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -836 - -580. Is -255 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682634569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 = 3*x, 1 = -4*y + 3*x + 15. Suppose -c - 9 = -k, k - y*c = -5 + 18. Solve -3*d = p + 2, 4*p = -k*d - 1 - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16114217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333 = 10*c - 237. Let k = -16 - -46. What is the remainder when c is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.27? (a) 2\/3 (b) -2\/7 (c) -22 (d) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (372\/(-310))\/((23\/575)\/((-3)\/(-10)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4986589739 to the nearest one million.\nAnswer: 4987000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(sqrt(10) + sqrt(490)*1 + sqrt(80)\/sqrt(2))\/(1*sqrt(2)*2*-5).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166723 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7864 and 0.173?\nAnswer: 1360.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1103 - 23212?\nAnswer: -30321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*g**4 - 17460*g**3 - 25349*g**2 - 8676*g - 868.\nAnswer: (g - 217)*(g + 1)*(9*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -3, 2\/3, 0.4, 1317?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 18*w = -7293. Calculate the highest common factor of 117 and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + (-1 - (2 + -4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 199 = 5*f, 0 = i - 0*f + f - 107. Calculate the highest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1151*d**3*f**3*j + d**3*f*j - 6*d**3*j**2 + 3*d**2*f**3*j - 624*d*f**3*j**2 wrt j.\nAnswer: -12*d**3 - 1248*d*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15518 + 15513.7402. Let f = -4.5597952 - g. Let i = f - -0.3. Round i to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**6\/120 + h**4\/24 + h**3\/6 + h**2. Suppose 1 = -4*c + 5*v + 16, 5*c = v + 3. Calculate l(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2259858893 to the nearest integer?\nAnswer: 47538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*p - 54*p + 7*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3))**1 assuming n is positive.\nAnswer: n**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10099155 is divided by 153017?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040 (base 7) in base 2?\nAnswer: 1011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2*t)\/(t\/(t*t*t**(2\/73)*t)))\/(t**(-1\/29)*t**(9\/5)) assuming t is positive.\nAnswer: t**(34527\/10585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.156 to 1 decimal place.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 930792, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + u + 175 = -3*u, -4*k + 5*u = -232. Suppose k = 8*v + 5. What is the smallest common multiple of v and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 5:56 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35144 is divided by 348.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 12 = u. Solve -2*n - 4 = -u*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*n + 10, 2 = -4*o - 3*n + 37. Suppose -4*m - 5*w - 333 = -1388, -2*m = o*w - 525. What are the prime factors of m?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ittt when four letters picked without replacement from uiuti.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105576 and 4399.\nAnswer: 105576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -65*k**2. Let n(x) = 54*x. Determine n(u(m)).\nAnswer: -3510*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5 - 6. Let u = 15 - w. What is the highest common divisor of u and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 + 2*y - 14. Is 16 a factor of f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i = -4*f + 48*i - 120, 0 = -3*f - 3*i + 36. Let 0 + 2*b**2 + 4\/5*b**3 - 12\/5*b - 2\/5*b**f = 0. What is b?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 45) + 52 - (-1 + 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*f + 5*f - 16, -3*h = 5*f - 22. Let i be 22547\/161 - 3\/69. Calculate the greatest common factor of i and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7389 is divided by 284?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 6 + 1)*(7*q - 2*q - q) in the form d + n*q and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1806?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 + -16.7. Let w = x - -4.4. Let l = 15 + w. Sort l, -3, -0.4, 2\/3.\nAnswer: -3, -0.4, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 890, 1782, 2674?\n\"Answer: 892*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (1 + 4))*6. Let m = 74 + z. Is 23 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -35*n**3 + 2*n**2 + 30*n - 3. Let i(v) = v**2 + v - 1. Let m(u) = 2*i(u) - l(u). What is the second derivative of m(k) wrt k?\nAnswer: 210*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31151 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 59\/4 of a millisecond?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 1150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588 - 1089 = 12*w - 549 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 + 10*i**3 + 7500*i**2 - 7500*i**2 - 746*i**3 + (i + 2*i - 4*i)*(2*i**2 - 4*i**2 + 3*i**2) + 2*i**3 + 0*i**3 - i**3.\nAnswer: -736*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 21*k - 47. Calculate the remainder when o(5) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-27))\/(6864\/10296)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 14 = -o, 0*o - 3*o - 14 = 2*b. Suppose -35 = 5*d - 0*d. Let u = d - b. Solve 0 = -2*q - 4 - u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwj when three letters picked without replacement from jjjxwxwjxxwxxwwjwxw.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1585897 or 1585895?\nAnswer: 1585895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**5\/100 - l**4\/10 - l**3\/6 - 16*l + 101. Let h(z) be the first derivative of r(z). Factor h(n).\nAnswer: -n*(n + 1)*(n + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2214*m - 10 = -2204*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42563 plus -1?\nAnswer: -42564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*p + 6*p. Suppose p = 2*d - 4. Find the third derivative of -4*b**d - 3*b**2 + 3*b**4 + 3*b**2 + 4*b**2 wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i + 2. Let m be l(-2). Suppose -3*f + 3*r + m = 1, 4*r = -f + 18. Calculate the smallest common multiple of f and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19978 = -3*l - p, -4*p + 1375 = l + 8049. Let x be (1 - l)\/(-6 - -7). Let y = x + -53345\/8. Calculate the common denominator of y and 5\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + g - 1)*(-4*g - 4*g + 5*g + (0 + 0 - 1)*(-22*g - 20*g + g)).\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.3499 - 26.4. Let v = q + 0.0401. Which is the nearest to -2\/5? (a) v (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 = -n - 2*i, 3*n + 5*i + 29 = 0. Let y = -2.9 + 3. What is the closest to -1\/2 in y, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 31, 59, 93, 133, 179?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -6. Let q be 52\/d + (-8)\/32. Solve q*n + 3 = -0*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (225*o + 1 - 2*o**2 + 245*o - 426*o)*(4 - 1 - 2)*(47*o + 8*o - 16*o).\nAnswer: -78*o**3 + 1716*o**2 + 39*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/3 + 4*t**3\/3 + 37*t**2\/3 - 40*t\/3 = 0. Calculate t.\nAnswer: -5, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 118 and 0.005.\nAnswer: 118.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 66740?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - x**5 + 4 + (-3*x - x**4 + 6*x - 3 - 4*x)*(0 + 0 - 2)*(-3*x + 6*x + 2*x).\nAnswer: 9*x**5 + 10*x**2 + 30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*s = -326*s - 4*p - 2, 0 = -3*s - 3*p - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -111.5 and 0.12351?\nAnswer: -13.771365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 948 - 1741c?\nAnswer: -168b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*v + 17*v = -552 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + (4\/2 - -28)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12396360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -b?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4029 smaller than 4029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {m: 1, c: 1, w: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.329 + -1.1916. Let k = d + -0.0482. Let m = 0.077 - k. Round m to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**2 - 4 + 1 + u**4 + 3 wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 1131*v + 1136*v - 1 = 0, 4*v - 3 = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/16 and -1\/10216?\nAnswer: 20432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 2*n + 25. Determine f(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, t: 2}. What is prob of sequence rrt?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -330*b**4 - 5*b**3 - 128*b + 10. Let d(q) = -495*q**4 - 8*q**3 - 192*q + 16. Let p(z) = -5*d(z) + 8*g(z). Find the second derivative of p(v) wrt v.\nAnswer: -1980*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19 - (3 - 0)) + 2. Let n = 20 + h. Sort -2, n, 1.\nAnswer: -2, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925512?\nAnswer: 2, 233, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = m + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.3046223 to 2 dps.\nAnswer: 69.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2579411, -2579399, -2579387?\n\"Answer: 12*y - 2579423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 1261433.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 120*t**2 - t + 3*t.\nAnswer: 120*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*w, 16 = 3*m + 3*w - 8. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18626 times 1.751?\nAnswer: -0.32614126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**4\/4 + p**3\/3 - p**2\/2 - 8*p + 156. Let d be 1 + -1 - (-3 - -14). Let x = -11 - d. Calculate o(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**6 + 93*m**5 + 27*m**3 + 6*m**2 - 39*m - 5.\nAnswer: -240*m**3 + 5580*m**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 3300131010?\nAnswer: -3300131021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) -0.5 (c) -95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -20, -115, -300, -605?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -7*l + 10*l. Suppose 0 = l*u + 5*g + 7, -4 = 3*g + 2. Let o(q) be the second derivative of -5*q**4\/12 + q**2\/2 - 4*q. Determine o(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 (base 12) in base 3?\nAnswer: -110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 3*u = 13, -5*k - 25 - 20 = -5*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -2*l - 4*w, 4*l + 2*w - 136 = -222 + 40 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 0, 1 in descending order.\nAnswer: 1, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -29 (b) -3 (c) -1\/8 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5708 + -5707.999986805. What is r rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34289.1 centimeters to kilometers.\nAnswer: 0.342891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. What is the third derivative of 0*t**2 + 0*t**w + t**6 - 3*t**2 wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 42.9 from 471960.\nAnswer: 471917.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5*r = 31, -119*p + 2*r = -124*p - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 - 1 - 15*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9315\/6900*(-8)\/3.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**7\/1155 - m**6\/330 + m**4\/66 + m**3\/33 - 7*m**2. Determine j, given that b(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -104742.\nAnswer: 31422.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1630, -336, 2, 4 in increasing order.\nAnswer: -1630, -336, -8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1861 - 1857. Solve -5*f + 7 = -4*v + 31, 2*f + 4*v + z = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 2*i**3 - i**2)*(2 - 3 + 0)*(53*i + 1 - 57*i + 2).\nAnswer: 8*i**4 - 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 - 109 = p. Solve 0 = -2*f + p*a + 25 - 0, -2*a = 4*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 464 + 1346 = 0. Let p = r - 416. Solve -2*w - 3*w - p = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*a**2*j**4 + 4*a**2 + 17*a*j - 15*j**5 wrt j?\nAnswer: 252*a**2*j**2 - 300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**5\/9 - 176*j**4\/9 - 944*j**3\/9 - 1736*j**2\/9 - 1364*j\/9 - 392\/9 = 0.\nAnswer: -2, -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/(-4)*((-2)\/10)\/((-216)\/(-216))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/7, 2\/407, -2, -5.9, 2\/11?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148.193 + 148. Let q = h - -0.19383. Round q to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 426 + 735 = 3*d, 4*d - 1563 = b. Does 34 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 112\/(-48)*12\/28. Which is the nearest to u? (a) -9 (b) 3\/5 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 9*w**2 - 5*w - 15. Let r be k(8). Suppose -r*n = 5 - 239. Let z(d) = 4*d - 33. What is the remainder when n is divided by z(12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1100) - (-1 + sqrt(891)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1204.2153 months to centuries.\nAnswer: 1.00351275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c - 145. Let t(q) = -4*q - 73. Let o(k) = -3*l(k) + 5*t(k). What is the remainder when o(-20) is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5131480 or 5131474?\nAnswer: 5131480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u = -5*x + 28, 5*x + 4*u = 13. Suppose x*j - 10 = -0*j. Which is the second biggest value? (a) j (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 5185?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12122 and 5510.\nAnswer: 60610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 5*h**2 - 2*h - 10. Let m be f(-5). Suppose 3*s + i - 73 = 0, m = -4*s + 3*i - 4*i + 99. Let v = -59 + 85. Is v at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(3\/36*3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*o + 144*o - 1 - 1 - 535*o + 177*o.\nAnswer: -40*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 9*h**3 + 9 - 8.\nAnswer: -9*h**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11.9, -2\/9, -2.184?\nAnswer: -2.184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 5, 3, -1164, -10.\nAnswer: -1164, -10, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**3 - 53*k - 116 wrt k?\nAnswer: -6*k**2 - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p + 2. Let a(w) be the first derivative of w**3\/3 + 5*w**2\/2 - 2*w - 520. Give -2*a(s) - 3*k(s).\nAnswer: -2*s**2 + 8*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 11*n - 15. Let t(s) = -13*s**3 - s**2 + 1. Let p be t(-1). What is the units digit of y(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173554?\nAnswer: 2, 107, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8510 - 17*j + j + 8554)*(0*j**2 - 6*j**2 + j**2) as s*j + o*j**2 + c + d*j**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9444462 = 54*n - 404436. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12013637, -12013638, -12013639?\nAnswer: -12013640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31858 and 32913062?\nAnswer: 1874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*z - 86*z = -144*z + 13662 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 268 - 263. Suppose -n = -70 - 36. Suppose -n = -g*p + d - 35, -31 = -2*p + 3*d. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 15 (b) -0.4 (c) 2.8 (d) 7 (e) 5 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10114544 (base 7) to base 8.\nAnswer: -3161160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -6. Let t = -18 - y. What is the second biggest value in 5, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351*f = -358*f + 53760. What is the thousands digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Suppose 0 = 7*q - 32 + 11. Let z(h) be the second derivative of 0*h**2 + 0 + 2*h + 1\/6*h**q. Determine y(z(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = -4*w - 160, -o + w - 3 = 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/2973 and 13\/24.\nAnswer: 23784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 9*a - 8. Let n be l(10). Solve 0 = -2*m - 6, -9 = 2*x + 3*x - n*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 + -37. Suppose 5*u - 6 = -4*d, -2*u - 4 = 5*d - 20. Suppose -43 = -3*c + d*t - 5*t, 2*c = -3*t + 31. What is the remainder when p is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j + 6. Let v be 11938\/6816*j\/(-2). Let b = v - -13\/71. What is the common denominator of b and -53\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124358 + -70596. What are the prime factors of a?\nAnswer: 2, 26881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/7)\/((-7)\/21)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - ((51 - 27) + -30).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 825 - 801. Let f(m) = m**3 + 3*m**2 - m. Let s be f(-3). Solve 2*a - b = 4*o, -2*a + s*o + 16 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-831)\/15 + 1 - 6\/(-15). Let v = w + 58. Suppose -301 = -b - 2*b + r, v*r + 184 = 2*b. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 956*z**2 + 16064*z - 65280.\nAnswer: -4*(z - 8)**2*(z + 255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*h - 168124, 2*o - o = 3*h - 126093. Suppose -51*q = -62*q + h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 54, 66, 80, 96, 114?\n\"Answer: z**2 + 9*z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.23, 0.3, 3\/2?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 26*r**2 - 31*r - 63. Let w(d) = 4*d**2 - 5*d - 10. Let z(i) = 3*p(i) - 19*w(i). Let o = -9 + 19. Suppose -3*t + o = 2*t. Calculate z(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*p. Let a be (6\/(-3))\/(-2) + 1. What is the second derivative of 2*q + 4*q**4 + p*q**4 - a*q**4 wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97*0.017\nAnswer: 1.649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.11702845?\nAnswer: -0.35108535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92867475847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, -0.5, 2.068.\nAnswer: -0.5, -0.3, 2.068, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3144144422 - -2?\nAnswer: -3144144420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786 + 786 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 1. Let i = -5 + w. What is the least common multiple of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 - -100?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**24))\/((m*m*m**(-22)*m)\/m) assuming m is positive.\nAnswer: m**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - ((-1)\/(-1))\/1. Let u = 63 - 34. Solve -3*t - 4*w + u = 0, t = -4*t + f*w - 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmkmkv. Give prob of sequence kkvm.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from rrmrrrrmr.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 + 175. What is the greatest common factor of v and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l - 2 = 0. Let m be -4 - (-5 - l - 181). Calculate the highest common factor of 30 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -337.6346 - -4.7786. Let s = -334 - u. What is s rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grnmrrc. What is prob of picking 2 r, 1 m, and 1 n?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + -89 - (-1 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m - 5. Suppose 3*d + 4 = 1. Suppose -3*k - 57041 + 56981 = 4*s, -k + s = -22. Let i(y) = -y - 1. Determine d*q(o) + k*i(o).\nAnswer: 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 2*x**2 - x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**5\/20 + 5*b**4\/12 - b**3\/6 + 3*b**2 + b. Let q = -2 + -3. Is r(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -0.584833916.\nAnswer: -6.584833916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(27)\/sqrt(3))\/sqrt(3) + 1)*3)**2.\nAnswer: 18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/3 - 12325256*p - 113933951599152 = 0 for p.\nAnswer: -18487884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 + 52\/(-13) - -5. Which is the closest to -3\/7? (a) 0 (b) 0.2 (c) j (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 3 (c) 89 (d) -1 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 8:27 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2. Let w(j) = -4*j**2. Let q(u) = -5*h(u) + w(u). Let p(c) = 57 - 57 - 33*c. What is p(q(x))?\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 90*d**2 + 26483 + 517 + 9063*d - 6363*d.\nAnswer: (d + 30)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 4*c + 15 = -3*n, -2*n + 49 = 3*n + 3*c - 59 + 141 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 996 = 4*v. Is 5 - (v\/5 - (-1)\/(-5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(75 - (-7084)\/(-92))*(-44)\/5\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724.9506 meters to centimeters.\nAnswer: 72495.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-38)\/18 + 2). Let c(o) = -7*o**2 - 13*o + 9. Let p = 14 - 10. Let d(v) = 3*v**2 + 6*v - 4. Determine p*c(h) + t*d(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*b**3*l**2 + b**3 - 5*b**2*l wrt l.\nAnswer: 82*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 + 72. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 653 (b) -0.4 (c) 0 (d) 3 (e) -13\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 9369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -22*d**2 - 1. Calculate i(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1337, -10247, -34425, -81503, -159113?\nAnswer: -274887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/192)\/(15\/36)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -174233 and -7.\nAnswer: 1219631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1179216 is divided by 130923?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/2))**11\/(y**(1\/6)\/y*y**(-4)))\/((y**(1\/7)\/y)\/y**(2\/9)*y**(-1\/7)\/(y*y**(-3\/8))) assuming y is positive.\nAnswer: y**(877\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -119, -1211, -4177, -9953, -19475, -33679?\n\"Answer: -156*b**3 - b**2 + 3*b + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/49 (b) 4 (c) 5\/4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.75618 to one decimal place.\nAnswer: -14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2671*l + 140 = -2661*l. Solve -2 = -l*o - 30 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75\/142 + 2\/71. Is z bigger than 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.058058 and 2555.\nAnswer: 2554.941942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 3*g + 6 = 0. Let o(k) = -k**3 - 3*k**2 + 2*k + 1. Give o(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 6:39 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1125 = t, 0*t + 4*s - 3375 = -3*t. Let w be 108\/(-45)*5*t. What is w rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w**4 - 7*w**2 - 7*w + 9. Let l(n) = 2*n - 4 + 31*n**2 - 28*n**2 + n + 4*n**4. Let t(x) = -3*j(x) - 7*l(x). Differentiate t(q) with respect to q.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/3 - 3536*g**4\/3 + 1562906*g**3\/3 + 10604*g**2\/3 - 4681664*g\/3 - 3125824\/3 = 0 for g.\nAnswer: -1, 2, 884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**6\/5 + 29*k**5\/20 - 689*k**3\/6 - 351*k. Find the second derivative of n(m) wrt m.\nAnswer: 72*m**2 + 174*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 537, 1087, 1639, 2193?\nAnswer: 2749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Let l = v - 3. What is the units digit of 6\/(-12)*(l - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*l = -0*z + 436, 0 = 2*l + 8. What is the common denominator of ((-20)\/(-6))\/((-4)\/(-30)) and (-1057)\/z - 1\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1\/3 (b) 32 (c) 4 (d) 0.4 (e) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26166531, 26166559, 26166587, 26166615, 26166643?\nAnswer: 26166671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*x + 5*u, -9 = -x - 2*u + 3. Calculate the highest common divisor of 50 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/456*-36*-4*(-1)\/85302. Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -17*w - 177. Let z be o(-12). Solve z = c + 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -p - 5. Let w(d) = -d**3 - 2*d**2 + d. What is the least common multiple of p and w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*x - 135 + 347 = 0. Solve -13*o - 11 = -t - 17*o, 0 = -4*t - 4*o - x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*5 + -4)**2.\nAnswer: -160*sqrt(5) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 58\/5957?\nAnswer: 58\/5957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57229\/206 or -279?\nAnswer: -279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 15*w - 3. Let u be n(-15). Which is the closest to 1\/2? (a) -0.064 (b) u (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -16*d + 1. Let t(l) = -11*l + 2. Let u(w) = -3*c(w) + 4*t(w). Suppose 0 = 2*o + 3*o - 25. Let b(f) = 4*f - o - 4 + 13. What is 5*b(s) - 4*u(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3892449 - 77.\nAnswer: 3892372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d - 115*d**2 - 3*d - 55*d**2 to the form y + b*d**2 + f*d and give b.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 42 = -0*u. Suppose -m + a + 3*a = -u, -a = -5*m + 51. List the prime factors of m\/3*(3 - 0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -228\/7 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -23*s**5\/10 + s**4\/4 - 9*s**2\/2 - 15*s. Find the third derivative of r(t) wrt t.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 + 0.28. What is the nearest to g in -2, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2371 + -2367.7. What is the nearest to 4\/5 in 0.3, -3\/4, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*i + 288 = -170*i + 2*o, -4*i - 292 = -3*o. Which is bigger: -141\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*l + 0*l - 1 = 0, -2*j + 12 = 3*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 9 = 5*q - 19, -5*q + 38 = 4*f. Let h(b) = b - 4. Let p be h(q). Suppose 32 = p*c + v, c + 2*v - v - 16 = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26372433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -5, -1 in decreasing order.\nAnswer: 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1145551.338 rounded to the nearest one thousand?\nAnswer: -1146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(112\/12))\/((-9)\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 14920923.\nAnswer: 74604615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31404753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (215 + 3\/(-1)). Let q(d) = -19*d + 6. Let x(m) = 453*m - 165*m + 377*m - 209. Let b(r) = w*q(r) - 6*x(r). Let l(c) = -c. Determine l(b(z)).\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000104 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17914074 divided by 2?\nAnswer: 8957037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4819?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2393919 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -980407 + 1\nAnswer: -980406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 88. Let f(u) = 6*u - 143. Let k(l) = 3*f(l) - 5*i(l). What is k(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60025 is divided by 145?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40813, -81618, -122423?\n\"Answer: -40805*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u - 2. Let w be k(-2). Suppose w*a + 4*z - 88 = 0, -z = a - 8 - 37. Let j = a - 17. Solve -j = 4*l - 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3539*v + 609*v + 1218*v - 89*v + 165*v to the form y + p*v and give p.\nAnswer: 5442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -10230301312?\nAnswer: 10230301321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-37)*(-648)\/(-972)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -23\/9?\nAnswer: -23\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -788 + 795. Which is the smallest value? (a) -2 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27163 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -209*q**2 - 33?\nAnswer: -418*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393519.2 millennia to months.\nAnswer: 4722230400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 41 - (-4 + 12\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21245, -21355, -21541, -21803?\nAnswer: -22141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 8*y - 3*y - 38, 5 = y - 2*q. Let j(u) = -u**3 + 6*u**2 + 9*u + 3. Give j(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -68)*1 - (29 - 29). Which is smaller: -68 or z?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - z**2 + 2*z**2 + 2*z - 2*z. Calculate the remainder when 33 is divided by u(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297368681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 + 26)*-2 + 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.99 + 0.01. Let j = d - 5. Put -0.4, j, -5 in ascending order.\nAnswer: -5, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2. Let l(m) be the first derivative of -m**4\/12 + m**2 - 4. Let u(k) be the second derivative of l(k). Calculate u(x(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/11 - -5\/66. Let m = -4 - -7. Suppose -5*c - 3*j = 17, c = -m*j + 1 - 2. What is the smallest value in o, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -534.28 + -9.72. Let v = 593.2 + i. What is v rounded to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlllllt. What is prob of picking 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + -2 - (-12 + 29).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of ((-11070)\/(-60))\/(2\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234881283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2778888 divided by -278\nAnswer: -9996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-3))\/((-16)\/(-24)*-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 14 + 14 + 6*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19217 - 2611 = -4*c. Let b(y) = 2730*y - c*y + 2718*y. Let d(r) = -5*r**2 + 6. Calculate b(d(s)).\nAnswer: 45*s**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628840181?\nAnswer: 628840181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/48 and 161\/66.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6168 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h + 10. Calculate k(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 - 5*l**2 - 13 + 3*l**2 to the form z + w*l + c*l**2 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s**(1\/4))**(3\/13)*(s\/(s\/((s\/(s*s*s**(1\/4)*s))\/s))*s**2)**49 assuming s is positive.\nAnswer: s**(-1561\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/32 and 69\/11198?\nAnswer: 179168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 22*y + 21*y - 65*y + 24*y.\nAnswer: 2*y + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**4\/6 - 7*o**3\/3 + o**2\/2 - 17*o. What is the tens digit of n(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-5 + -5 - -19)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3*h - 5*h)*(2*h - 5*h + h) + (4*h - 2*h + 0*h)*(0*h + 0*h + h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 13*v**2 - 299*v + 4. Determine j(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbcx when four letters picked without replacement from {x: 8, b: 10, c: 1}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7*p - 2*p = -74, -2*o - 5*p = -74. Let m = 57 - o. Let w = 16 - m. Let b(g) = -g**3 - 4*g**2 - g - 3. Determine b(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**3\/2 - p**2 + 4*p. Let x(r) = -r - 1. Determine s(k) - 2*x(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1642298 and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = 8*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1254*j + 1253*j - 4*j**3 - 7*j**4 + 6*j**3 - 7*j**2 to q*j**4 + m*j**2 + f*j + w*j**3 + k and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 233674047 and 410.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 551 in -3, -1, 1, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -257, -1\/3, 0.172, 1\/7, -5 in descending order.\nAnswer: 0.172, 1\/7, -1\/3, -5, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32663 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 48685*x - 48709. Give j(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*w + 730 = 2*w, 4*a + 3*w - 1488 = 0. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 23 - 29 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -54. Solve l*p + 2 = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31241 (base 5) to base 16\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360996 and 18090.\nAnswer: 16244820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -143 greater than -425\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-4 - (49 - -8)). Let l = 67 + n. Solve -l = -3*g - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 1762064?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-8414)\/(-3005)*(-10)\/(-7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huxy when four letters picked without replacement from kukxtyhh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence app when three letters picked without replacement from {p: 4, a: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*v = 121*v. Let i(z) = -z**3 - z**2 + 4*z. What is i(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 43\/2 - (-5)\/(-10). What are the prime factors of (-124)\/(-6)*w\/14?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13 - 12)*((-3)\/(-1))\/1. Let c(d) be the first derivative of 1\/3*d**3 - r + 4*d - 5\/2*d**2. What is c(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4142\/6 - (-9)\/(135\/10). Let c = 1904 - r. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1)*(-2 + 3) + 1. Suppose 5*d - d - 48 = w. Differentiate 4*b**2 + 4 - 4*b**2 - d + 8*b**2 with respect to b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k + 4 = 61 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, -1\/5, -12479.08, -3 in ascending order.\nAnswer: -12479.08, -3, -1\/5, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 2 (c) -4 (d) -3\/8 (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**3\/3 + 9*c**2 + 61*c - 55. Let a be s(-14). Solve y + 18 = -a*k - 12, 25 = -3*k - 2*y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 12:34 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 55969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-70)\/(-12))*1*((-4355)\/91)\/67.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 10858*i**2 + 10784*i**2 - 2 + 1 + (2*i - 7*i + 3*i)*(-4*i + i + 2*i).\nAnswer: -72*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.47, -5\/2, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61218 and 13338?\nAnswer: 2387502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -32110 (base 10) to base 13\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 12. Suppose u + 0*n - 29 = x*n, -3*u + 111 = 2*n. Suppose -b + u = 4*b. Solve 16 = 4*i - 3*q, i + b = -4*i - 3*q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-4) - 5\/(-20). Let r be (-44)\/(-20) - 3\/45*3. Suppose l + r*l + 12 = 0. Which is the second smallest value? (a) -1 (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 1 + 1 + 0*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -4, -22, -11, 8 in descending order.\nAnswer: 8, -1, -3, -4, -11, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, q: 1, a: 1, o: 2}. Give prob of picking 1 n and 1 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912410069?\nAnswer: 23, 39670003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f. Let m(o) = -7*o. Let y(q) = -4*m(q) - 9*r(q). Let v(c) be the third derivative of 2*c**5\/15 + 5*c**2. Calculate v(y(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o. Let h(z) = -130311*z + 1. Determine l(h(y)).\nAnswer: 912177*y - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 y, and 1 u when three letters picked without replacement from {y: 1, e: 2, w: 1, c: 7, u: 9}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7758)\/19395 - 27\/48*(-6)\/10. Suppose 7 - 31 = -3*f + 3*g, -32 = -3*f + 5*g. Suppose -f*v = -v - 3. Which is smaller: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) - (sqrt(450) - (sqrt(450) - (sqrt(450) + 5*sqrt(450) + sqrt(450)))*-5))\/(sqrt(250)*-4) + -5)**2*6*-3.\nAnswer: -4545\/2 - 810*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 700*s**4 + s**3\/3 + 11*s**2\/2 + 10*s - 1. Suppose 0 = 4*r - 40 + 80. Let b be i(r). Round b to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (2\/2)\/(-1). Let p(w) = -3*w**2 + 3*w + 2. Let r(x) = -x**2 + x. What is t*p(s) + 2*r(s)?\nAnswer: s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0\/r*r*r\/r**(2\/9)*r**(-3\/2)\/(r\/(r\/((r\/r**3)\/r))) assuming r is positive.\nAnswer: r**(41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1528 + 1678. Let v = 18 + -4. Let w = v + d. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119077 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/939800 and -71\/16872.\nAnswer: 53568600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 184*z**3 + 2*z - 5922. Let r(d) = 4*d**2. Calculate l(r(x)).\nAnswer: 8832*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 821*l**2 + 4636*l + 2649. Give w(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oof when three letters picked without replacement from {o: 10, r: 1, f: 7}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 17*d + 7. Let u be y(7). Let q be u\/(-10)*20\/(-6). Suppose -p + 29 = -q. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13849712*j**3 - 1150656*j**2 + 13*j?\nAnswer: 83098272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -28*i**2 + 17*i - 2. Let s(d) = -15 + 42 - 17 - 29*d**2 + 15*d - 13. Let b(j) = 2*s(j) - 3*y(j). What is the second derivative of b(u) wrt u?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/112 - 18\/(-8)) + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*w = 5*l - 34, l + 4*w - 12 = 0. Let d(s) = 20 - 3*s - 2*s + 4*s. Calculate the least common multiple of l and d(10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*3\/(-9)*3. Let g be 3\/(-3) - (h + 0). Let d = 53 + g. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 386*y + 6178. Let s be b(-16). Solve 0 = -6*h + t - 6, 2*h = -2*h - s*t - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 3. Let d = 14 + -12. What is h(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/11 + 10\/11*x - 2\/11*x**3 - 2\/11*x**2 = 0 for x.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-200)\/1645)\/(-10))\/(4\/(-14)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 3. Let n be c\/(-3)*(3 - -48). Suppose 0 = -2*t + 3*t - 4*w - 37, 2*w = -2*t + n. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 467191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 211245131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -128916.7 times -21?\nAnswer: 2707250.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-39))\/((-16)\/(-24))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5 + 2 - 3*y + y + y. Let n be m(8). What is the remainder when (n - 1) + (11 - -6) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 equal to -131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + h)*(-4 + 4 - 2*h**4) + 4*h**4 - 262*h**5 - 3*h**4 + 257*h**5.\nAnswer: -3*h**5 + h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9323.6516526 minus -0.047?\nAnswer: 9323.6986526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53747, 214981, 483705, 859919, 1343623, 1934817, 2633501?\nAnswer: 3439675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*p - 1 = 0, 4*p = 2038*i - 2039*i + 11. Suppose 2*t - t = 0. What is the closest to i in 2, t, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2 and 4.1562.\nAnswer: 9.14364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -3\/8 (c) 0.1 (d) 2\/321\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -5, -40 in descending order.\nAnswer: 8, -1, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrlll. What is prob of sequence rl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.061018 kilometers in meters?\nAnswer: 9061.018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2475, -6890, -13241, -21522, -31727, -43850, -57885, -73826?\nAnswer: -91667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g + 9999 = 84631. What are the prime factors of g?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**5 - 2*x**3 + 15*x**2. Let o(m) = 4*m**5 - 3*m**3 + 16*m**2. Let k(a) = -3*b(a) + 2*o(a). Find the third derivative of k(d) wrt d.\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**6\/48 - j**5\/24 - 21*j**2\/2 - 3*j + 73. Let q(z) be the second derivative of r(z). Factor q(f).\nAnswer: -5*f**2*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 3*j**2 - 2*j + 2. Let h be z(-2). Let p = 333 - 335. Suppose 0 = 8*l - 5565 + 5573. Sort l, p, h, 6 in ascending order.\nAnswer: p, l, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 535 - -3042305?\nAnswer: 3043143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 31*r**3 + r. What is the units digit of g(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**5 - 4*c**5 + 4*c**5)*(5 - 2 - 2) - 5 + 3*c**5 + 19 + 3.\nAnswer: 5*c**5 + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 15*d - 70. Let j be l(-8). Solve 2*z + c = j, 0 = -2*z - 3*z - 2*c + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6212533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 19 + -14 - -9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4623 = 44*m - 41*m. Suppose -9*g = -m + 632. Round g to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92*6\/(-920))\/((-1)\/(-55))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24983209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 35 + 45 + 8 + 18 + 8*k - 39. Let d(v) = 2*v + 17. Determine -9*d(b) + 2*r(b).\nAnswer: -2*b - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 101 + 101.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87\/11 or 2\/1407?\nAnswer: -87\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*v + v. Suppose 6 = 2*i - 0. Suppose -2*s - 26 = 5*d - v, 5*s + 12 = -i*d. Solve s*w = 3*j - 2*w - 10, -4*j - w = 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1195 + 0.11960123. What is m rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 871?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-4))\/((-2)\/(-2)). Suppose 0*p**3 + 4*p**2 + p**3 - p**2 - 4*p**y = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -1, -10, -19?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - j = 18, -j = -5*t - 3*j + 111. Suppose -t*m = -26*m + 140. What is the tens digit of (-3 - 28\/(-8))*m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/628976 and 62\/18672725.\nAnswer: 298763600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -2\/35, 4, 43\/4, 0.5, 3 in decreasing order.\nAnswer: 44, 43\/4, 4, 3, 0.5, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 31 + 17 = 0. Let k(q) = -73*q - 40. Is k(w) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 56*l - 62*l + k, -4 = -4*l + 4*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/3, -3 in increasing order.\nAnswer: -4, -3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**3 - 6*d**2 + 8*d + 38. Is k(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**6*n**3 - 15*m**5*n**3 + 71*m**2*n**2 - 2*n**3 wrt m?\nAnswer: -120*m**3*n**3 - 900*m**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -1 + 4 + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*j - 4, 3*j + 12 = 2*h + h. Let r = 4 - j. Let q = 16 - r. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 9 = -0*a - 4*a, a = 4*g + 19. Let i be -2 + 3 - (a - 0). Suppose -i*p - 2*p + 104 = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.887 - 1.687. Let h = 0.1 - -0.9. Which is the closest to x? (a) 3 (b) -3 (c) h (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q + 233 = -p, -3*q - 5*p + 203 = 0. Let w be 1\/((-18)\/(-4)) - q\/72. What is the closest to 0.1 in w, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2, 0.1, 19\/10, -5 in decreasing order.\nAnswer: 2, 19\/10, 0.1, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/48919379?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p + 3. Let q(z) = 4 + 1 - 6 + z. Let y(l) = -4*q(l) + r(l). What is the first derivative of y(a) wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*l = -196*l - 367*l - 21031 - 6500 for l.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17 - -1*(-8)\/(-16)*0. Let g be ((-108 - -2)\/2)\/(-1). Let p = g - m. Does 36 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 0*q + 1\/4*q**4 - 7\/15*q**3 - 1\/25*q**5 + 3\/10*q**2 - 19. Determine c, given that h(c) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/3)\/(1\/(-6)). Suppose 2*s - 6*s + 10602 = h*u, 4*s = -3*u + 10603. Suppose -3*p - 2*p = -s. Round p to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/9 and -55\/54789?\nAnswer: 164367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9753 - 11155. Let k = s - -20906.89934. Let w = -1.1 - k. What is w rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s - 1. Let z(v) = -v**3 - 8*v**2 + 39*v + 5. Let g(i) = 5*n(i) - z(i). Let j be 116\/(-14) + 20\/70. What is g(j)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17804*u**5 - 11832*u - 2 wrt u?\nAnswer: -356080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 2\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.57, -0.04, -0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2842585599.\nAnswer: 3, 7, 317, 61001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -186*n + 5\/3*n**4 + 5*n**2 - 1\/42*n**7 + 9\/2*n**3 - 1\/5*n**6 - 1\/10*n**5 + 0. Suppose u(j) = 0. What is j?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -156 - -155.01. Let t = -0.01 + q. Let b = -46681\/57 - -819. Is b less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31\/9 in -2\/19, -2\/7, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -220 - -220. Let l(q) be the first derivative of m*q**2 + 3\/5*q**5 + 0*q**4 - 3*q - 1 + 0*q**3. Differentiate l(w) wrt w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n - 2*r + 3, 24 = 4*n - r. Suppose 4423 = n*c - 10690. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-49))\/4*2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.184, 2\/5, -4\/5, 3\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117651400?\nAnswer: 2, 5, 588257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 6465*s + 365221. Calculate u(-57).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-6) - (0 - 3\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/6 + 91*z**3\/3 - 3047*z**2\/2 + 39130*z\/3 - 92450\/3 = 0. What is z?\nAnswer: 5, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/x**(-1\/11)))*x**(-2\/9))**(9\/5) assuming x is positive.\nAnswer: x**(86\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 5*p**2 + 3*p - 7. Let s be o(6). Let m be 37\/5 - (-10)\/s. Let l = m - 4. Solve 0 = 2*x + l*w + 2*w + 6, -4*x = 4*w + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(637) + 3 - -6*(sqrt(637) - (sqrt(637) + -1))) + -6*2*sqrt(637)*3)**2.\nAnswer: -5390*sqrt(13) + 780446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 26 = -5*m, -2*w - 1751476*m + 1751479*m = -26 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66440.79 years in millennia?\nAnswer: 66.44079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 679711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, w: 1, b: 5, q: 1}. Give prob of picking 1 s and 1 w.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - -0.11. Let l = -0.69 - d. Which is the closest to l? (a) -5\/3 (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2836961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/145 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2 = 4*q - 11, 4*q = -4*o + 4. Suppose q*s = s - 31. Let c = -14 - s. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(162)*-1.\nAnswer: -9*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76*f*u*x + 12*f*u + 207*f*x + 2*f - u*x - 5081*u + 91397*x - 1 with respect to u.\nAnswer: 76*f*x + 12*f - x - 5081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 16. Let z be b(12). Let -5*o**3 + 8*o**2 + 5*o**3 + 4*o**3 - 12*o**z = 0. Calculate o.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -443354 - -8429880\/19. Let t = 324 - m. Which is the nearest to 2? (a) t (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j - 50 - 6*j + 69 + 2*j. Let p be (-2 - -3) + -3 - -9. What is the units digit of f(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*v - 9. Let u(h) = 3*h**2 - 3*h + 0*h - 4*h**3 - h + 8*h**3. Let k(s) = 0 - 7*s**2 + 0 + 9*s - 9*s**3. Determine v*u(i) - 2*k(i).\nAnswer: -2*i**3 - i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -3 (c) -0.02 (d) 13\/33 (e) -2564\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33381009?\nAnswer: 3, 137, 27073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4208, 0.2, 3969, -0.5 in increasing order.\nAnswer: -0.5, 0.2, 3969, 4208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -75, 1, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*c + 5*p, 4*p - 23 = c + 4*c. Let y be c*144\/(-8)*7\/(-3). Let r = y - -228. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.6 - 0.5. What is the closest to 0.1 in 1\/3, h, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98600 divided by 136\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(468)*-5 + sqrt(13))**2 + sqrt(143)\/(sqrt(77)\/sqrt(7))).\nAnswer: 5*sqrt(13) + 54665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -153.37759 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 9:22 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -20*p**2 - 5*p - 18. Let i(m) = -22*m**2 - 7*m - 19. Let k(a) = 7*g(a) - 6*i(a). Let y(h) = 7*h**2 - 6*h + 11. Give 5*k(z) + 6*y(z).\nAnswer: 2*z**2 - z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45828, 1, 106 in ascending order.\nAnswer: 1, 106, 45828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8511.\nAnswer: 3, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - c. Let k(m) = 8*m**2 + 5*m + 1. Give -k(x) - 6*o(x).\nAnswer: -2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -8 - (0 + -3 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 599 - 588. Let u be 17466\/1107 - (d\/(-9) + 1). Suppose -3*p + 0*p = -54. Is u less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258 and 11180.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 34. Let p = h + 27. Solve p = 2*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-5 + (-4 - (-6 - -4))). Let l(f) = 25*f - 20*f - n*f. Let k(u) = 0 + 7*u + 0. Give l(k(p)).\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ycozzadccyodzazy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111110000111 - 10000111?\nAnswer: -1101000000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116.6 + -116.2. Let z = -4\/669 - 134\/2453. Let s = z + 142\/165. Which is the third smallest value? (a) h (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1730568 to the nearest integer?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*67.\nAnswer: -33.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v = 53*v - 25*v - 6878. What is the highest common divisor of 362 and v?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1900, -5.9, 0.093 in increasing order.\nAnswer: -5.9, 0.093, 1900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 37 (b) -1 (c) 362\/7 (d) 9 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 7*i + 7. Let b be o(7). Let c(d) = -4*d**2 - 3 + b*d**2 + 3. Let l(t) = -4*t. Give c(l(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11115\/28 or -398?\nAnswer: -11115\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 6*s**2. Let h be g(6). Is (h - 1)\/((-1)\/211) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-7)\/(35\/(-15)) - 658\/126).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3 - 2*j)*(3*j**2 - 3*j**2 + j**3).\nAnswer: -2*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 36676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjqjjqjjjq. Give prob of picking 3 j and 1 q.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 5*h - 4*h - 9, -13 = -2*h - p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(-1))\/s)\/s)\/s)**(-28)*(s**(2\/13)*s)\/(s**(-2\/9)\/s)*((s*s*s*s**0)\/(s\/(s**(-6)*s)))\/(s**(-2\/3)\/(s\/(s*s*s*s**(-4)))) assuming s is positive.\nAnswer: s**(10067\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0879311874 rounded to four decimal places?\nAnswer: -0.0879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfmc when four letters picked without replacement from {m: 10, a: 1, f: 1, c: 2}.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 647188374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 563 = -5*j - 523, -3*j + 7*p = -68 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(63)\/sqrt(3)*5)\/(sqrt(9)\/sqrt(48)).\nAnswer: 3 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*l - 13 = 0, 4*l - 18 + 4 = 2*x. Let p = -4636 - -4695. What is the lowest common multiple of x and p?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/205447 and 48\/6061.\nAnswer: 5957963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31831989781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 1\/6*a**3 + 0 + 5\/24*a**4 - 2*a**2 + 1\/360*a**6 + 1\/30*a**5 + 0*a. Let q(j) be the first derivative of r(j). Calculate q(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 0.0217?\nAnswer: 0.1783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1956 - -2915. List the prime factors of w.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11101100000000?\nAnswer: -11101100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -820 - 10625?\nAnswer: -11345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.046 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1024 - -1047) + 1 + -47.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 5 (c) 0.2 (d) -0.1977461 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lollowwl. Give prob of sequence lowl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -104747*18\nAnswer: -1885446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -v - 903, 3*h - 4*v + 921 = v. Let f = h - -312. What is the least common multiple of f and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 minus 0.19106?\nAnswer: -0.52106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 22*l + 19. Let h be p(-10). Is h < 2\/285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 9:46 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 45. Let p = t + -9. Calculate the common denominator of -97\/58 and (-1460)\/400 - p\/(-5).\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 24 - 3 - 16*m - 15*m + 8*m + 47*m**2. What is the remainder when 146 is divided by t(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6 = z - 2*k, -2*z + 9 = k. Let i(v) = v + 8. Let y be i(-6). Solve z*w = -s + 7, 4*s + 6 = y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, 0.59, -0.1, -58, -57?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -9, -2, 66 in ascending order.\nAnswer: -9, -2, 6, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 2940?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -4. Let o be (-2)\/(1\/5*p). Suppose 0 = -0*c + c - o. Solve c*m + 13 = -2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 1:31 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13707032 and -0.07.\nAnswer: 959492.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -3, 2*o - 3*u + 9 = -4*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + (0 - 0) - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52367, 105471, 158567, 211649, 264711, 317747, 370751, 423717?\n\"Answer: -s**3 + 2*s**2 + 53105*s - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**3\/5 - 9*b**2\/10 + 16. Factor r(d).\nAnswer: 3*d*(d - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 69*f**2 - 3*f - 73*f**2 + 153*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -764187 (base 10) to base 12.\nAnswer: -30a2a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.46 - 9.46. What is the closest to -1\/2 in -0.06, i, 2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1227125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -365*j**3 + 25*j**2 + 52*j - 4. Give s(-2).\nAnswer: 2912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 8 = 4*a, 8*a + 18*b = 17*b + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1989, 3979, 5969?\n\"Answer: 1990*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Suppose 0*l + 2*l - 8 = x*b, -5*l = 4*b - 2. Let u(a) = a**3 + a**2 + 3*a + 3. Calculate u(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 104622, 209242, 313862, 418482, 523102?\n\"Answer: 104620*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -59. Suppose -82*h + 3355 = -79*h - 5*k, t*k = h - 1123. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121.328 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwzwzzzwwzz. What is prob of sequence zzz?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-1\/2)*f))**(-11\/2)*(f*f**(2\/9))\/f**(-3\/10) assuming f is positive.\nAnswer: f**(769\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 442*r**2 - 146964*r - 876488\/3.\nAnswer: -(r + 2)*(r + 662)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/6 and 99\/58?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (397\/(-399) - -1)\/((-4932)\/1746495). Let y = -222\/133 - j. Calculate the common denominator of y and 49\/22.\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*p**2 - 36*p + 36*p.\nAnswer: 123*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81080.6 milliseconds to nanoseconds.\nAnswer: 81080600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -958 - -1017. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3 + 1 + 3. Let b(a) = 10*a**2 + 26*a + 21. Let l(w) = b(w) + 5*y(w). Let c(s) = -2*s**2 - 5*s - 5. Calculate -16*c(n) - 3*l(n).\nAnswer: 2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 15 + 4*a - 9 + 8*a.\nAnswer: 12*a - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 35133.1.\nAnswer: 10539.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 31726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 876023 + -1820623. What is i rounded to the nearest ten thousand?\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5\/7 - 545*c**4\/7 + 596*c**3 - 7825*c**2\/7 + 600*c = 0.\nAnswer: -280, 0, 1, 3\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 11:18 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8173673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -m, 6*z - 9*z = -4*m - 28. Let p be z\/(-7 + 4 + 5). Solve a - 2*a = -s + 10, -35 = -5*s + p*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/126)\/((-4)\/(-18)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1387393?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 12*q - 12. Let j be i(9). What is the highest common factor of 24 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-4) - (390\/84)\/5.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrvvvrrrrrrrrvvr. Give prob of sequence rvrv.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*h + 7*h. Let z be (3\/h)\/(20\/24). Which is the third biggest value? (a) z (b) 1\/4 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.638 - -0.062. Let h = 7 - z. Let v = 0.3 - h. What is the second biggest value in v, 0, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7933\/414 - 373\/23. Calculate the common denominator of m and -71\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -139\/2 - -71. Let k(j) be the first derivative of -1\/3*j**3 + 3*j - z*j**2 + 1. What is k(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d = 0. Let l be -11*(-3 - -1 - d). Let z = l - 6. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-166)\/996 + 136\/96)*(12 - 1)*-4\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 1. Let t(a) = -5*a**2 - 2*a + 7. Let d(w) = -6*o(w) - t(w). Determine d(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qhqrhhhhqhqrqqrqhq.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021212000 - -112001?\nAnswer: 1022101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + k**3 - 4*k**3 + (0*k + k + k)*(2*k**2 + k**2 - 5*k**2) + (-2*k - 2*k + 0*k)*(k**2 - 4*k + 4*k).\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 28. Suppose d - a - 10 = -2*d, 5*a + u = -2*d. What is the greatest common divisor of 5 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 135, 136, 137, 138, 139, 140?\n\"Answer: j + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 146 + 276?\nAnswer: 3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33236 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/7)*d\/(d*d**(-4)))\/(d**1*d\/(d\/(d*d\/((d**(-3\/5)*d)\/d)))) assuming d is positive.\nAnswer: d**(9\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/o)\/(o**(-8\/3)*o)*o**(-1\/12)\/(o**16\/o) assuming o is positive.\nAnswer: o**(-137\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u. Let g(v) = 53*v - 6. Let x be g(6). Let y be x\/(-22) + 4\/22. Let o be z(y). Which is bigger: o or -15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 179996, 360016, 540036, 720056?\n\"Answer: 180020*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-14 - (5 + 3 + -21 + 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 20 = r. Suppose 0 = -0*z - z + r. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 + 2*y**2 - y - 1. Let b(a) = 2*a**3 + 2*a**2 - a - 1. Let g(q) = -4*b(q) + 5*h(q). What is the units digit of g(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/33138 and -143\/179892.\nAnswer: 1259244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7952878.15 and -11?\nAnswer: 7952867.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y = h + 518, -653 = -5*y + 4*h. Let f = y - 64. What is the remainder when f is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*b - 238*b = 300. Differentiate 10 + 3 + 2 - b*z**2 + 6 with respect to z.\nAnswer: -120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/43306 - -86603\/389754. Factor g*d**2 - 8\/9*d - 10\/9.\nAnswer: 2*(d - 5)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = y - 4, y + 2*y = j + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1059 + -1091.872. Let c = l - -33. Let q = c + -0.12800057. Round q to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - s**2 + 16*s + 29. Determine k(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + n + 76 = 5*n, 6*n - 84 = 5*z + 116 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = -5*y. Let a be 0 - (2 - (-1 - y)). Let g = 9 + a. Solve -5*u - 3*p - 15 = 0, -5*u + 1 = g*p + 21 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 9 + 48 = 0. Let z = p - 7. Let j be (-7 - -3)\/(4\/(-42)). What is the highest common divisor of z and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9871314 and 12?\nAnswer: 19742628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16502 is divided by 5460.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -17970*u**2 - 9*u - 6. Let p be g(-14). Round p to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - r**3 + 98*r - 98*r + 2 in the form n*r**2 + y*r + h*r**3 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.283 - 0.117. Which is the second smallest value? (a) t (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-109)\/109*(-1)\/(-2)*0\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 391*z**2 - 99*z - 198. What is the first derivative of v(s) wrt s?\nAnswer: 782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**4\/4 - 4*r**3\/3 + r**2\/2 - 2*r + 1. Let h = -176 + 180. Calculate t(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t*t\/(t**0\/t)*t)\/t)\/t))**(6\/11)\/(t**(-1\/4))**(-42))**25 assuming t is positive.\nAnswer: t**(-6075\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.063823 + 0.025774. Let y = -0.5328 + 0.623. Let g = y - x. Round g to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/5)\/(-18*627\/(-3564))?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -341303 * 4.\nAnswer: -1365212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 3:36 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -105\/2 + 3\/2*d**2 + 51*d = 0.\nAnswer: -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243180.\nAnswer: 2, 3, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -148*z**2 - z + 1. Let f be r(1). Let v = -41 + -186. Let a = f - v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 27379?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*d = -73*d + 55 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 2 - (-22 + 12 + 5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -910352 = -32*o + 1705936. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679155747?\nAnswer: 3, 547, 413867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - k = -2*b - 8, -2*b = 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1704360 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1077 - -2.8923. Which is the closest to 21\/10? (a) 1 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2. Let m(o) = -298800*o. What is m(b(s))?\nAnswer: -298800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/30*-10)\/(3 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 - -3.08. Let n = -6.16 - -5.6. Let x = -0.76 - n. Which is the closest to -0.1? (a) z (b) -0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-209*g - 18*g - 879*g)*((g - 2 + 2)*(2 - 2 - 2*g**2) + 3*g**3 - 5*g**3 + 0*g**3 - 3*g**3 + 4*g**3 + g**3).\nAnswer: 2212*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18282 - 4569. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 250.172.\nAnswer: 8255.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-12) + (-208)\/(-3). Suppose 3*j - m = -0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 144\/155 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**(-1)))**33\/(v*(v*(v**3*v)\/v)\/v*v**5\/v)*(v*v*v*v**(-2\/5)\/v*v)**(9\/4)\/(v**(-1)*v*v)**(-2\/9) assuming v is positive.\nAnswer: v**(-12227\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4301*-38.5.\nAnswer: -165588.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-14) + (-32)\/14. Let z be 22\/8 + (-1)\/(-4). Let c(a) = -3 + 4*a**2 - a**z - a**2 - 6 + 7. Let m(f) = -f**2 + 1. Give s*m(t) - c(t).\nAnswer: t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*k + k + 16, -c + k = -4. Suppose -3*y = -3*b + 4 + 11, -c*b - 3*y + 27 = 0. Solve -x - 2*x + b = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, -268275, 3 in decreasing order.\nAnswer: 3, -1.7, -268275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4142 (base 8) in base 15?\nAnswer: -981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4721547 (base 8) to base 12\nAnswer: 520973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -42*j + 272. Let d(m) = 39*m - 274. Let f(k) = -7*d(k) - 6*s(k). Let o be f(13). Solve -14*h = -o*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(104) + (sqrt(104)*-2*6 + sqrt(104) - sqrt(104)))*-3)\/(sqrt(40)\/(sqrt(5) + (2*sqrt(5) - sqrt(5)))*6).\nAnswer: -4 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(180) + sqrt(180) + 3 + -2 - (5 + 4*sqrt(180) + sqrt(180))))**2.\nAnswer: 252*sqrt(5) + 1669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3 + sqrt(405)*2 + sqrt(405) + -1 + sqrt(405) + -1 - (5 + 1*sqrt(45))*3))**2.\nAnswer: -756*sqrt(5) + 3841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1111 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 3, m: 5, i: 3, o: 2}. Give prob of sequence qi.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -3419?\nAnswer: -3415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v + 2*v - v + 0*v - 2*v + 4*v + 4 - v - 4 + (0 - 2 + 1)*(3*v - 2*v - 3*v) - v + 5*v - 3*v + (4 + 3 - 5)*(0*v + 2*v - v) to z*v + u and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s + 17. Give d(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 11*d**3 - d**2 - 3*d + 3. Let z be o(2). Differentiate 114*t + z*t - 75 - 61*t wrt t.\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b = -35*b + 312 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30396 or 349?\nAnswer: -30396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 255155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.1952ml to litres.\nAnswer: 0.0191952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/8)\/((2 - 7)\/(-20)). Suppose -10*s = -m*s - 47. Calculate the highest common divisor of s and 282.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -633322, 0 in increasing order.\nAnswer: -633322, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 30*p**2 + 32*p + 90. Let m be f(-29). Which is the second biggest value? (a) 10 (b) -1\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147 divided by 49\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q - 232. Let y(u) = u**2 - 84*u + 1388. Let f be y(21). Let a = q + f. Solve 2 = -v + a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 + 36172*a**2\/5 + 159162264*a\/5 - 39956508144\/5.\nAnswer: 2*(a - 238)*(a + 9162)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 12. Suppose 4*m - l + 0 = 0. What is the remainder when 8 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2 - 17644*t + 38169642 = 0.\nAnswer: 3801, 5021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 741, 723, 693, 651, 597?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11936000 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2325154 (base 6) to base 10\nAnswer: 120382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + l + 76, -2*l - 108 = -4*r + l. Suppose 3*o = r - 9. Suppose 2*d = o*d - 5901. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 55899730 to the nearest 100000.\nAnswer: 55900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 = 0, 109 - 25 = i - 5*f. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5 - 1) + 6 - 31) + 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5676886 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4858, 9718, 14580, 19444?\n\"Answer: r**2 + 4857*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/(-46))\/(((-3)\/4)\/(-1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 0*u**2 + 0*u**3 - 1\/10*u**5 + 0*u**6 - 31*u + 3\/14*u**7 + 0 + 29\/6*u**4. Find the third derivative of t(o) wrt o.\nAnswer: 540*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 0. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131342129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*d - 4*d + 4 = 0, 0 = 2*j - 4*d + 26. What is the closest to 1\/14 in j, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9845606 millennia?\nAnswer: 11814.7272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -1\/3 (c) 2\/15 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 5:45 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 38759581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-4) + -9 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -498 - -501. What is the nearest to -2 in v, 0, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, -74, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 187488\/64 + 3\/4*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3625258 is divided by 503.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60366 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88832435?\nAnswer: 5, 2591, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 707647529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -53. Let g = 5 - m. Let t = g - -59. Solve 0 = 2*z - r + 1, 2*z - 2*r = -3*r - t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.27?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 3*k - 2. Determine n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41168233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5765 - -5769. Let q(f) be the third derivative of 0*f**j - 16*f**2 + 0*f + 0*f**3 - 11\/20*f**5 + 0. Let c(v) = 2*v. Determine c(q(y)).\nAnswer: -66*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**4\/4 - 23*j**3 + 231*j**2\/4 - 99*j\/2 + 14 = 0.\nAnswer: 2\/3, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -259123 bigger than -259641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 591360 and 32.\nAnswer: 591360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1940 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k**2 + 2*k**2 + k**2 + 7*k**2 - 3 + 4*k**4 to the form b*k + o*k**4 + x*k**3 + j + p*k**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 113*z + 1. Let n(s) = 16*s**2. Give h(n(p)).\nAnswer: 1808*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/60*(-6)\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 306 + 1 + 0\/442?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 11\/(-2))*2. Suppose -10*x = -z*x + 447. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.51 and 1300380?\nAnswer: -663193.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 7*q**2 + 3991*q + 23908. Calculate y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92.2 + -101. Let i = v + 2. What is i rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 510 and 12410.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -6, -0.2, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011110100001101 (base 2) to base 10.\nAnswer: 81165","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, -9, -21, -39?\n\"Answer: -3*k**2 + 3*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2406 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -7. Suppose 2*x + 1291 - 4935 = g. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 + 13.09. Let w = 12.62 - u. Let y = -0.02 + w. What is the third biggest value in 5\/4, y, 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0256 and -1.\nAnswer: -0.0256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 485 and 3104.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -192*x - 5116. Calculate u(-26).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377952873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 3. Suppose 5*d - 12 - 8 = 0. Let u = 1.888 - 2.188. What is the second smallest value in x, u, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 - 2*y**2. Let s(t) = 21*t**3 - 27*t**2 - 8*t - 1. Let b(v) = -10*f(v) + s(v). Let h(o) = o**2 + o + 8. Let x be h(0). What is b(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39360\/360*(-9)\/(-120).\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -1\/120*z**6 + 0*z**2 - 1 + 1\/40*z**5 + 1\/48*z**4 + 78*z - 1\/12*z**3. Factor n(p).\nAnswer: -p*(p - 2)*(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (2 + (-6 - 3) + 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15657 + 175219.97\nAnswer: 190876.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 303 (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 1\/24*u**4 + 0 + 9*u**2 + 11\/6*u**3 + 0*u. Calculate the least common multiple of 9 and w(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkbkk. What is prob of sequence bk?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y + 132. Let i = 38 + y. Let t = i + 14. Solve u = -3*u + t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 27 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51746*d**4*q + 5*d*q - 583*q + 49 wrt d.\nAnswer: -206984*d**3*q + 5*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10302317 (base 8) in base 13?\nAnswer: 5bbb1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 63. Which is the closest to p? (a) -9\/5 (b) 2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 260698600 to the nearest 1000000.\nAnswer: 261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 4) to base 6.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 5:59 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74.5? (a) -27 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 29*z + 100. Calculate b(-36).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 2*i**5\/15 - 41*i**3\/6 + 12*i**2. What is the first derivative of y(j) wrt j?\nAnswer: 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26025.1 rounded to the nearest one hundred?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-271751.\nAnswer: 1902257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(66\/3))\/(13\/208)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -12*a + 124. Calculate the common denominator of (-820)\/48 + 3\/a and -115\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40838 or 40842?\nAnswer: 40838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = n + 3*l, -5*l - 21 - 4 = 2*n. Suppose 7*c + 12*c - 9329 = n. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712821360?\nAnswer: 2, 3, 5, 1021, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 996 = -4*u + 2*b, -u = -3*b - 256. Suppose 4*p - 5*k - u = 0, 3*k = -2*p - k + 96. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 + 47*k + 0*k**2 - 36*k - k**2 - 142*k as n*k + q + y*k**2 and give n.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - 2. Let v be -2 - (z + (-3 - -6)). Is 4 a factor of 3\/2*4 + v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -375 - -375. Suppose 5*q + 764 = m, i*m - q = 2*m - 1583. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89025 divided by 3?\nAnswer: 29675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) - 2046\/(-15). Let q = -6858 + 6866. What is the highest common factor of j and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.5 (c) 1.4 (d) -0.3 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 50*h - 2*h = 53 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238491.7 kilograms in milligrams?\nAnswer: 238491700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Let i(p) be the second derivative of 340*p**4\/3 - p**2 - 10*p + 4. Determine x(i(z)).\nAnswer: -2720*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 + 2*n - 7. Suppose -11 = -2*p - 5. Let r(x) = 2*x**2 + x - 4. Give p*u(w) - 5*r(w).\nAnswer: 2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c - 20. Let f be g(-14). What is the highest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**2 - 3*o**2 + 5*o**2 + (2 - o - 2)*(-2*o - 2*o + 3*o) - 19 - 2*o**2 + 17 - 26.\nAnswer: -3*o**2 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, f: 3, u: 2, h: 1, c: 10}. Give prob of sequence rhru.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 23 = -20*j. Let o = j - -121. What is the highest common factor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - j = 828. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 20. What is the nearest to 2 in 3, -3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 31 - 19 = 0. Let h be d\/(120\/(-112)) + 4. Which is the nearest to h? (a) -0.1 (b) 2\/11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or -9808?\nAnswer: -9808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35324 - -42?\nAnswer: 35366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*a - 57*a - 65 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -57 (b) 2 (c) -4 (d) -7\/4 (e) 1 (f) 1\/8 (g) 49.8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.34, -370 in descending order.\nAnswer: 0.34, -2, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 0 + 6*o**4 - 47*o - 33\/10*o**5 - 9\/2*o**3 - 1\/14*o**7 + 0*o**2 + 4\/5*o**6. Determine r so that k(r) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015245 to five decimal places.\nAnswer: 0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 154, 234, 340, 472, 630, 814?\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 10*i**2 + i - 6. What is j(-9)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 1 - 4 + 98*t in the form f + h*t and give h.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 3*n + 21, 9*i - 6*i + 3 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2 - 71943*q - 35635050 = 0. What is q?\nAnswer: -23475, -506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37, -386, -1321, -3130, -6101, -10522?\n\"Answer: -48*t**3 - 5*t**2 + 2*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) - (-1 - -2). Let d = -0.4 - 0.1. Let y be ((-8)\/10)\/(4\/1 - 2). Which is the closest to y? (a) -4 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - v**3 - 3*v - 49.\nAnswer: -v**3 - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 3, 4 in descending order.\nAnswer: 4, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4914608.\nAnswer: 2, 307163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -40?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 170822 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2 - 926*g - 19320 = 0.\nAnswer: -20, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 60*t - 100*t + 19*t + 6 - 39 as y*t + z and give z.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6772?\nAnswer: 2, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4))\/(5\/10). Let p be -46 - -6*(5\/k)\/5. Is -45 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {m: 11, k: 1, f: 8}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 3*x - 2*x**3 + (4*x**2 - x**2 - 6*x**2)*(-x - x + 0*x) to g*x**3 + i*x**2 + k*x + n and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 13317?\nAnswer: -22\/13317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*r, 3*r + 21 = -26*s + 23*s + r for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1502, -2, -6.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*z + 405 = 48*z. What is the remainder when z is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Let x(j) = i + 3*j + j - 4*j + j. Suppose -u - 15 = 4*u. What is x(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 20 = -5*j. Solve -t = -2*u + j - 3, 1 = 2*u - 3*t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 35*c + 11. Let a be m(17). Let y = a - 1. Let s(z) = z**3 + 7*z**2 - 8*z - 16. Let t(d) = d + 1. Let v(j) = -s(j) - 6*t(j). What is v(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -8. Let a = l - 1. Let j = a - 5. Let g(z) = -z - 4. Determine g(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a + 18 - 4 - 1 - 12.\nAnswer: -12*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.9733 + 0.7313. Let f = -13 - -12.958. Let p = f - a. Round p to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 9 - (17 + -2) - -12) + -80\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g + 12. Let r(o) = -5*o - 8. Let p(u) = -4*u - 6. Let a(d) = 4*p(d) - 3*r(d). What is a(m(s))?\nAnswer: 3*s - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u + 6*u = -13*u + 84. Let r(h) = 10*h**3 - 8*h**2 - h. Let l(k) = 9*k**3 - 7*k**2 - k. What is u*r(f) + 7*l(f)?\nAnswer: 3*f**3 - f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0*w**2 + 0*w**5 - 1\/189*w**7 + 0*w**4 + 0*w**3 - w + 0 - 1\/135*w**6. Suppose r(x) = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 203*f**3\/6 - 137*f**2\/2 - 292*f + 225. Let o(k) be the first derivative of c(k). What is the first derivative of o(w) wrt w?\nAnswer: 203","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 4 - 7 - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 16*k**2 + 7*k - 6. Let x(d) = d**2 + d - 2. Determine c(t) - 3*x(t).\nAnswer: 13*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**6\/180 - i**4\/6 + 4*i. Let y(u) be the third derivative of d(u). What is y(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 11*h - 11. Let d be k(9). Let g = d + 2. Suppose -t - g = -4*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21503561.\nAnswer: 113, 190297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 308360456*j**2 - 33*j - 344416?\nAnswer: 616720912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/60 - 26*s**2 - 2. Let n(m) = 80*m**2. Determine n(g(k)).\nAnswer: 80*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*-1 + sqrt(11) - (-4 + (sqrt(176) + sqrt(11) - sqrt(11))) - (sqrt(66) + (1*(sqrt(66) + (sqrt(66) - 2*sqrt(66))) - sqrt(66)))\/sqrt(6).\nAnswer: -12*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -82*q - 121. Calculate d(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 160\/6 - 4\/6. Let v = u - 11. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 13. Let x(u) = -205*u - 16*u + 0 + 1 - 133*u. Is x(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*j - 64*j - t + 165446, -3*j = 3*t - 99246. What are the prime factors of j?\nAnswer: 33091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4660 = -5*f + 5*r - 10*r, 3*f = 4*r + 2803. List the prime factors of f.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 1023a?\nAnswer: 1023a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k - 399. What is r(-36)?\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1381 - -1379. Let g(l) = -14*l + 17*l - 2 + 3 + 4*l**2. Calculate g(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 62 = 3*w, -b + 4*w + 577 = 561 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20990115 = -426*u - 20992671 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*w. Suppose 0*z + 5*z - 7940 = w. Suppose 9*j = 5*j + z. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135747\/1118 + -1591\/13. Find the common denominator of 43\/24 and c.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4 - k**2 + 5*k - 2 + 2. Suppose -3*q = -4*t - 0 + 1, 4*t + 4 = 4*q. What is d(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23\/3, -73, -19\/5, 3 in ascending order.\nAnswer: -73, -19\/5, 3, 23\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, 31, 27, 7, -35, -105?\n\"Answer: -a**3 + a**2 + 10*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -5653.\nAnswer: -21\/5653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - m + 8, 0*j + 4 = 2*j + 3*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1976 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -26385, 3821 in decreasing order.\nAnswer: 3821, 1, -5, -26385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -0.9. Let d be ((-1)\/(3\/12*-2))\/1. Put -2, d, v in ascending order.\nAnswer: -2, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4745 + -4033?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1303 - 32?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxynyyynxyyy. What is prob of picking 1 y and 2 x?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(1331)*2.\nAnswer: 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1512.2 and 53.\nAnswer: -80146.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -37. Let v(x) be the first derivative of x**2\/2 + 3*x - 2. Calculate v(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1093*z**3 - 10*z - 1309. Let m(d) = -549*d**3 - 4*d - 655. Let k(r) = 5*m(r) - 2*x(r). Differentiate k(l) with respect to l.\nAnswer: -1677*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -183, -1261, -4171, -9825, -19135, -33013, -52371?\n\"Answer: -152*a**3 - 4*a**2 - 2*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/3, -1\/3, 0.2, -74?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 11. Suppose 0*l = 5*f - 3*l + 26, -16 = 3*f - 2*l. Let s be i\/(1\/((-2)\/f)). Solve x = -4*g + s + 5, 0 = x + 3*g - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (106*c**2 - 192*c**2 - 158*c**2)*(0 + 0 - c) as d*c + b*c**2 + g + y*c**3 and give y.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 >= -10.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/158 and 66\/72 + (-4 - 3) - 6.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 11:34 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12291 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 57154 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 5, 4, -52 in descending order.\nAnswer: 5, 4, -1, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 406072476 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 9*g - 9. Let t be r(10). Let v be (4*t\/20)\/(-1). What is the smallest value in v, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*f + 88, 3*j - 61 = 3*f + 23. Let h = 5 + j. Suppose h = 6*m - m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.11. Let z = x - -3.01. What is the nearest to -0.1 in z, -1\/6, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + -385107?\nAnswer: -385115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - f**3 - 2*f**3)*(f - 3*f + 3*f) + (-6 + 3 + 2)*((-2 - 2*f + 2)*(-f**3 + 1 - 1) + 0 + 2*f**4 + 0).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(1584) + 3)*3.\nAnswer: -108*sqrt(11) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 7*q**6\/30 - q**4 + 121*q**2\/2 - 12*q + 2. Differentiate k(a) wrt a.\nAnswer: 28*a**3 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 266?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21018 and 42036.\nAnswer: 42036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -13, -36327 in decreasing order.\nAnswer: -12, -13, -36327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-7))\/((-588)\/(-1372)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*l - 40*l - 180 = 0. Let r(s) = 10*s**2 + 4*s. Let w be r(-3). Calculate the highest common divisor of w and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z - 23*z - 18*z + 54*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -812 - 8239 = 7*u. Let a = u - -4567. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + 0 + -6 + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60.6 - -93. Let j = k - 32.2. What is the third biggest value in -25, j, 0.5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*-1*sqrt(3).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 177*o**4*u - 3*o**2*u**3 + 3*o*u**3 + u**3 + 4*u - 16 wrt o?\nAnswer: 708*o**3*u - 6*o*u**3 + 3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 3, 29 in ascending order.\nAnswer: -1, 2, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/497, 5, -2, 2\/1521.\nAnswer: -2, -2\/497, 2\/1521, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 43*l - 185 = 0. Let j(b) = -39*b - 7. Let d(t) = 59*t + 10. Determine l*d(s) - 7*j(s).\nAnswer: -22*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121557 is divided by 114590.\nAnswer: 6967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 485.31 - -11.69. Let i = -497 + p. Suppose 13 = 4*x - 7. What is the smallest value in -0.3, i, x, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/(-814) - (-43)\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 203\/(-928)*14\/(-49)*2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*d - 425029, -4*d - p + 340012 = p. Suppose -m + u + d = 0, m - 5*u - 340025 = -3*m. What is m rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 42631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-112)\/(-42))\/8)\/(1\/90)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-812 - 2066 + 16)*(3 - 2 + 1) + 2 - 2 - 2)*(0*r + 2*r + 0*r).\nAnswer: -11452*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*b*n**3 - 4335*b*n**2 - 89*b - 10705*n**3 + 67*n**2 + 8 wrt b?\nAnswer: -5*n**3 - 4335*n**2 - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/12 + (-2 - 20\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1986621.\nAnswer: 3, 7, 13, 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -201 and 143.\nAnswer: -28743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**8\/1344 - s**7\/140 - 3*s**6\/160 - 8*s**2 - 4*s. Factor z(o).\nAnswer: -o**3*(o + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 407 - 626 + 218 + 2025*l**2 to the form d*l**2 + r + u*l and give d.\nAnswer: 2025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/224478 and 49\/1459107.\nAnswer: 2918214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1860418376?\nAnswer: 2, 31, 7501687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.351 - -228.236\nAnswer: 227.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 1 - 23 + i**2 + 20*i - 1. List the prime factors of n(17).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*y = -y - 185, 3*d - 2*y + 295 = 0. Let j = 133 + d. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.88157 rounded to 1 decimal place?\nAnswer: 17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -514, -1942, -4286, -7546, -11722, -16814, -22822?\n\"Answer: -458*i**2 - 54*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9384)\/(-5865)*(-5)\/(-132)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12919 + 141*g**2 + 12922 - g + 39*g wrt g?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 249*c + 23066 - 6881 for c.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025020435 to the power of 1\/4, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-105)\/(-33) - (-6)\/(-33). Suppose 11 = 3*w - 4. Let b = w + -3. What is the highest common factor of d and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swawppswwwsacpaay. Give prob of sequence sc.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 6*p + 8. Let o be j(5). Which is the nearest to -2? (a) 0 (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31111740767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*v - 117*v - 206*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 922763047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 61. Let c = 19.9856 - v. What is c rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521748.\nAnswer: 2, 3, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31339 and 81511.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0135? (a) -3886 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 - -21. Let o = 134.000134 - d. What is o rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5909 + -5911. Which is the nearest to p? (a) 1 (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 9*i. Suppose i*s - 1827060 = 5*s. Let n be (-8)\/14 - s\/21. Round n to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x + 6. Let c be 20 - (1 + 2 + 0). Let q(f) = -c - 7 + 3*f + 19. What is -5*d(j) - 6*q(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1280 (base 9) in base 6?\nAnswer: -4243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 144, 152, 126, 48, -100?\n\"Answer: -3*l**3 + l**2 + 26*l + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i**3 - i + 1. Let x be ((-9)\/(-6))\/((-3)\/(-2)). Determine a(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208842 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -45. Let i be 7\/((-21)\/112386)*(-2554)\/n. Let x = i - 7580513. Round x to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 - 15 + 15 + p**2 + 2*p - 2*p + (5*p - 23 + 23)*(-p + p + 2*p).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 85536673*g + 85536674.\nAnswer: -(g - 85536674)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 53793*k**3 + 161287*k**3 - 4*k**2 - 53709*k**3 - 53793*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o - 5. Let j be y(-5). Let z = -52 - -60. Let l(w) = 3*w - 20. Let p be l(z). Solve -c - p*c + j = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -19*c**2 + 4*c + 3. Let d(y) = -38*y**2 + 8*y + 7. Let n(b) = 6*d(b) - 13*w(b). Let i be n(3). Calculate the greatest common factor of 27 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-2))\/w*w)**(-8)\/(w**(-2\/7))**(-3\/43))**(3\/17))**(-11\/2) assuming w is positive.\nAnswer: w**(119295\/5117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -312\/529 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*30\/(-315).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004162 to seven decimal places.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 3*v - 62559*f + 50 = -62557*f, 0 = -v + 2*f - 7*f + 2*f + 36 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**5\/60 + v**4\/6 + 5*v**2 - 6*v. Let m(j) be the first derivative of t(j). Find the second derivative of m(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11793 - 11792.6. Which is the third smallest value? (a) 3\/4 (b) 5 (c) o (d) -87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -1421, 3, -4, 19 in decreasing order.\nAnswer: 19, 3, -1, -3, -4, -1421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135442 - 77742. Round y to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*24\/108. Let n = 0.01 - -2.99. Let z = -0.01 - 1.99. Which is the third smallest value? (a) p (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3 - 44366*v**2 + 492129852*v - 984082248 = 0.\nAnswer: 2, 22182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, j: 5, d: 3}. What is prob of picking 1 j and 2 d?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1702 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.29 + -0.39. Let g be 10\/3 - 6\/(-9). Which is the second biggest value? (a) g (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-one quarters of a microgram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 22.6. Let l = 4 - t. Let q = -92 + 96. Which is the nearest to -1? (a) l (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10542391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x + 0*x)*(4 - 2 - 6)*(8*x - 2*x - 2*x).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfjhjjhjjffj. Give prob of sequence fh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 329 + -224. Let b be (-16)\/(-5)*m\/(-6). Let k = -3 - b. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1075047635?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t - 55. Let q(m) = -3*m + 37. Let n(v) = -8*q(v) - 5*x(v). What is the smallest common multiple of 2 and n(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 289, 4, -2, -19, -14 in decreasing order.\nAnswer: 289, 4, -2, -14, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/16, 0.5, -125?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 9 + -1 + (1 - 1). Suppose 4*a - p = 2*a. Suppose 3*w = -5*d + 2*d + 1242, -d + 429 = -a*w. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-10) - 9\/(-30)*2. Solve -2\/5*y**2 + t + 21\/5*y = 0 for y.\nAnswer: -1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 19 = -0*s. Let m = s + 22. Calculate the smallest common multiple of 20 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -1\/3 (b) -2\/21 (c) 5\/6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30721505 and 1845.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 10:57 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - v**2. Let k(b) = b**3 + 1. Let t(w) = -3*g(w) + 2*k(w). Let a be t(3). Solve 4 = x + 4*q, 0 = a*x - q + 2 - 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -283.7 + 287.916. What is a rounded to one dp?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18, 0.07, -1\/4 in increasing order.\nAnswer: -18, -1\/4, 0.07, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -960303, -1920608, -2880915, -3841224?\n\"Answer: -j**2 - 960302*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7748 - -11297. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1744\/31 + 48584\/93. Let r = -28025\/48 + w. Calculate the common denominator of 57\/14 and r.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 943 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Suppose -2*k + 4 = -w. Let s(u) = -u**3 + 8*u**2 + 12*u - 14. Let m be s(9). Solve -3*o + 8*y + m = k*y, -17 = 3*o + y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h - 3. Let j(t) = 7*t - 3. Let p(a) = 1. Let v(n) = j(n) + 5*p(n). What is -6*v(b) - 5*y(b)?\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -4942453.7?\nAnswer: -4942459.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h - 10. Let p(t) = t**2 - 4*t - 24. Let k be p(-4). Suppose k*a = 7*a + 18. Calculate the remainder when a is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10458 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 1. Let s be f(4). Let t = s - 8. Let r = -4 - t. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in -2\/5, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/100 - 2\/8. Let g = -7978 + 7972. Which is the third smallest value? (a) g (b) 2\/13 (c) 0.2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, k: 13}. Give prob of sequence mmkm.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14476*j + 73009*j + 73583*j.\nAnswer: 132116*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*g - 11492 = -66*g + 35*g for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) + 19\/4. Suppose -3*c - 1 = 4*u + 18, 21 = -5*c + 4*u. What is the second biggest value in o, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 f when four letters picked without replacement from tfrpxrpffrfxrt.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3156, 3174, 3194, 3210, 3216, 3206, 3174, 3114?\nAnswer: 3020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**2 - 33944*n = 0.\nAnswer: -8486, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.194171 * 0.3\nAnswer: -0.0582513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/6*y - 4\/3 + 1\/6*y**2.\nAnswer: (y - 8)*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/14)\/((-1)\/(-6)). Let k = -8 - -3. Sort 1, n, k.\nAnswer: k, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629426579?\nAnswer: 23, 1061, 25793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 94587*f. Let g(j) = 2*j. Determine d(g(k)).\nAnswer: 189174*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 10300, -4\/15?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1033 - 5 - 936 = -42*m. Solve -m*t - 96 = -15*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 1, m: 4, h: 1, t: 1}. What is prob of picking 1 h and 1 m?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -23 - (-384 - -388)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -667400 to the nearest 10000.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3254.39983406 + 3254.4. Round d to six decimal places.\nAnswer: 0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*v**4 + 22574*v**2 - 2*v + 45601856 wrt v.\nAnswer: 16*v**3 + 45148*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 58314001 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 + 38*f)*(-4*f**2 - 3*f**2 + 5*f**2).\nAnswer: -76*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 24*u**2 + 47*u + 24. Let s(f) = -f**3 - 12*f**2 + 23*f + 12. Let l(b) = 3*m(b) - 7*s(b). Is l(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4360370 and 64295?\nAnswer: 47964070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 4\/7, -31 in ascending order.\nAnswer: -31, -6, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 986080815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*f + 15. Suppose -f*l = 1 + 3. Let h = 14 - l. Calculate the remainder when 44 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 - (2 + 4)) + 51. Let a = 11 + p. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-355))\/(87\/(-145)). Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455830 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 62961? (a) 3\/2 (b) 4 (c) 3 (d) -0.4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from lnwlllwr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - k - 1. Let w(g) = -3*g**3 + 4*g**2 - 5*g - 5. Let m(o) = -5*l(o) + w(o). Suppose m(c) = 0. Calculate c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 106235084*o**3 - 106235083*o**3 + 3*o + 212470171*o**3 - 2*o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**3 - 30*x**2 - 7*x + 7. Let o(j) = -3*j**3 - 20*j**2 - 5*j + 5. Determine 7*o(i) - 5*w(i).\nAnswer: -i**3 + 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2179 - -2178.94. Which is smaller: t or -11.8?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52236 and 40628.\nAnswer: 365652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403 = -55*f - 147 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - a + 28. Find the first derivative of -2 + a + y**2 + 0*y + 0*y wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*l - 70 = -258*l - 6*f, 4*f = 3*l - 27 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-52)\/(-62))\/(-13))\/(240\/(-24180))?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 - 3*b**2 + 3*b**2 - b**2 + 10*b**3.\nAnswer: 10*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/(-1672))\/((-186)\/(-620)*(-10)\/8)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**4 - 2296*v**3 + 13488*v**2 + 81632*v + 90880 = 0.\nAnswer: -2, 10, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 3. Let j(m) be the second derivative of 0 - 1\/2*m**2 + 2*m. Let g be 7\/(-3) + 6\/(-9). Give g*j(u) - o(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 61015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 8*v**2 + 11. Determine d(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257772 is divided by 416796?\nAnswer: 7384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -2 - (-9 + -9). Suppose -12*z = -a*z + 15. Suppose -3*v + 93 = z*s, 3*v + 14 - 2 = 0. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*p + 174 - 193 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -26*u - 61, 15*u - 13*u = -d - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -4, -3\/2, -2, -54280?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - 28*o - 103. Let l be f(-8). Let s(b) = -5*b - 36. Determine s(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 940 and 664.\nAnswer: 156040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from {v: 1, y: 2, g: 5, c: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + t - t)*(301 - 415 + 1232)*(27 + 13 + 7).\nAnswer: 105092*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -82*n**2 + 37*n + 2. Let l(q) = 41*q**2 - 17*q - 1. Calculate -6*i(y) - 13*l(y).\nAnswer: -41*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 7*o**2 + 0*o**2)*(-4*o + 75 - 75).\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 13767607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/4, 6\/7, 0, 3\/4, 0.68?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 + 137. Suppose -125*m = -128*m - q + 963, -q = 4*m - 1283. Calculate the greatest common divisor of v and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1216 + 220*g**2 + 16*g - 16*g + 2*g**3 - 430*g**2 + 211*g**2 to k*g + l*g**2 + b*g**3 + w and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 2, i: 1}. Give prob of sequence iaa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 55725714 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-223 + 3982280\/17864)*14*(-2)\/(-24)*-10?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25 (b) -1.28525 (c) 0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c - -1b48a?\nAnswer: 1b508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2814 and 268?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 772, 1645, 2520, 3397, 4276, 5157?\nAnswer: 6040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 11*r**2 + 11*r + 2. Give l(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4279 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*2.017\nAnswer: 1.0085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, t: 8, e: 4}. Give prob of sequence vttt.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 7:58 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -49. Suppose k = 5*w - 28, 0*w + y*w = -2*k + 16. What is the second derivative of w*g**2 + 12*g**2 - 2*g**2 - 12*g wrt g?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-6)*46*88\/4. Suppose 5*k - 2*u = 3*u + 870, 3*k + 5*u = j. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642735966.\nAnswer: 2, 3, 17, 23, 273971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(1936))\/(sqrt(56)\/sqrt(112)*3) + 5.\nAnswer: 5 + 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + 18\/4*16\/(-24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**(-4)*l)\/l))\/(l**(-9)*l*l))**17\/(((l*(l**(-2)\/l)\/l)\/l)**(-15\/7)*(l\/(l**1*l))\/(l*l*l\/(l*l**(-2\/9)\/l)*l*l)) assuming l is positive.\nAnswer: l**(12704\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78536*g**2 - 157166*g**2 + 78569*g**2.\nAnswer: -61*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 5:49 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 4*v**2 + 6*v**2 + 269016005*v**3 + 0*v + 0*v - 269016000*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1 + 9\/(-1 - 2) - -13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*j + 65296 = -974*j for j.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/g**2*g*g*g)**(-2\/37)\/((g**(-2\/7)*g)\/(g*g\/g**(-3))))\/(g\/g**(-10)*g**(2\/25))**(1\/21) assuming g is positive.\nAnswer: g**(68801\/19425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 1. Let f(q) = 4*q - 12. Let p(j) = -f(j) - 5*t(j). Suppose 0*a + 5*a = -50. Let x be p(a). Solve 4*z - x*z + 5*v = -6, 5*z - 5*v = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -39. Solve x*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*0\/8 - 2. Let s(w) = 2*w**2 + w + 3. Determine s(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 243\/7 + -35. Let z = -0.24 + 0.24. Let s = 1 + z. What is the closest to s in a, -0.5, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 113 = -q + 44, -2*u + q + 98 = 0. Suppose 5*n = -3*x + 8 + 13, -3*x + 5*n + u = 0. Calculate the remainder when 22 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*w - 55 = 94*w. Calculate the remainder when 810 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10413033 (base 5) to base 12\nAnswer: 4504b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 467107584?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186 - 183 + 769 - 400 + 601*n.\nAnswer: 601*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 137219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 125868342 to the power of 1\/2, to the nearest integer?\nAnswer: 11219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 54 = g. Calculate the greatest common divisor of 340 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-3))\/((-56)\/(-12)). Factor 0 - 2\/7*u**2 + 2\/7*u**4 - m*u + 2\/7*u**3.\nAnswer: 2*u*(u - 1)*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113010031210 (base 4) in base 15?\nAnswer: 7e6894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 19, 1, 163, 35 in descending order.\nAnswer: 163, 35, 19, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395546?\nAnswer: 2, 197773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**2 - 56*v + 2. Let o be x(8). Solve -c + 2 = -5*y, -2*c + 4 = 3*y + o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 24. Suppose 0 = -15*z - 12*z + 2160. Suppose -654*s = -650*s - z. Solve -s = -3*h + c*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/11 - 87770*q**3\/11 + 1280694450*q**2\/11 - 6165833990750*q\/11 - 63077750592500.\nAnswer: 2*(q - 14665)**3*(q + 110)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 82 = -12 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftb when three letters picked without replacement from {z: 1, t: 1, b: 1, f: 1, u: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 - 4) - (1 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 696467 rounded to the nearest 1000?\nAnswer: 696000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16572311?\nAnswer: 7, 29, 81637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -498*m**3 + 498*m**3 - 349*m**4 + (4*m**3 - 2*m**3 - 3*m**3)*(2*m + m - m) - m**4 + 5*m**4 + 0*m**4 + (-m - 2 + 2)*(-2*m**3 + 6*m**3 - 3*m**3).\nAnswer: -348*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(120)*-2*4)\/(sqrt(490)*1*5).\nAnswer: 96*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o + 725 = -307. What is the common denominator of o and 61\/86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -480286566 divided by -333\nAnswer: 1442302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423646081.\nAnswer: 18059, 23459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91790.9 millilitres in litres?\nAnswer: 91.7909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, -2\/7, -99\/8042 in descending order.\nAnswer: 5, -99\/8042, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(1*((-261)\/36 - -7))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 4049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51046 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Let m = 276.52 + -280.52. Let w = 0.3 + 0. What is the nearest to l in m, w, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - t**2 + t + 25. Let y be c(0). Let g = 5 + 0. Solve -g*n + y = 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22268 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(19) + (-1*sqrt(684) - sqrt(684) - sqrt(684)) + -2*(sqrt(19) + sqrt(171)) - -4*-6*2*sqrt(19)))**2.\nAnswer: 730*sqrt(19) + 101276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67212.3 - -70021. What is i rounded to the nearest 10?\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - n - 10. Let g = n - 16. Let y(f) = f**2 + 8*f + 8. Give y(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/270 - 8\/(-10))*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from {g: 1, z: 7, l: 2}.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -269 - -248. Find the common denominator of 6513\/182 + (18\/x)\/3 and 20\/(-8)*(-68)\/55.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -459695784, -919391564, -1379087344?\n\"Answer: -459695780*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 220242453 to the power of 1\/2, to the nearest integer?\nAnswer: 14841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11430 divided by -6?\nAnswer: -1905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -13*t + 528. Let w(l) = -3*l + 132. What is -2*i(f) + 9*w(f)?\nAnswer: -f + 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**17)\/g)\/(((g**(2\/43)\/g)\/g)\/g))\/(g\/(g*g*g\/(g\/g**(-2\/17)*g*g)*g*g))**(-5\/6) assuming g is positive.\nAnswer: g**(-21611\/1462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 5*c**2 - c - 3. Let q be x(-5). Suppose 0 = -q*d + 4*d. Solve 2*n + d - 10 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 + 14 = 2*y, -2*h + 10 = 4*y. Let g(s) = 2*s**2 - 6*s - 6. Let d be g(5). Let t be (-4)\/d + (-32)\/(-14). Solve -t*j = 2 - y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 45*k**2 + 47*k + 27. Suppose 5*h - c = 150, 7*h - 77 = 4*h - 2*c. Is r(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v - 45. Let s be k(11). Which is the biggest value? (a) s (b) 3 (c) -0.1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**4 + 8*r**3 - 255*r**2 - 47*r + 7559. Let i(f) = f**3 - 6*f - 2. Let y(n) = -8*i(n) + z(n). What is the derivative of y(d) wrt d?\nAnswer: 8*d**3 - 510*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 6205125.22 in increasing order.\nAnswer: 2, 5, 6205125.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13503451 (base 6) to base 14.\nAnswer: -bd6d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 6 + 1. Let l(d) = -581*d. Is l(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + -6 + 12 + -17?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 y when three letters picked without replacement from ddykx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 945 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38, 44, 62, 92, 134, 188?\n\"Answer: 6*o**2 - 12*o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632\/9 + 2\/(-9) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*f - 84*f - 6707535 = 0. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 895837.1 weeks?\nAnswer: 541802278080000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 0 - 280 = 0. Calculate the least common multiple of p and 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 9*g - 1. Let d = 21 - 11. Let u be h(d). Calculate the greatest common divisor of u and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m - 24*m + 6*m - 31*m to the form l*m + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*l - 11442 = 0, l - 13621 = -4*f + 32063. What are the prime factors of f?\nAnswer: 2, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 4*v. Let z be p(6). Suppose 0 = -0*y + y - z. Suppose -3*q + 0*q = -y. What is the greatest common factor of 80 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*d - 45 = 19, -5*r + 78 = -2*d. Solve -r*c = -9 - 33 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**5 - 88*b**4 + 352*b**3 + 1920*b**2 - 4608*b = 0 for b.\nAnswer: -4, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 28112.59l?\nAnswer: 28112590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + 59. Let h(i) = 5*i - 56. Let x(o) = 6*h(o) + 5*m(o). Let y be x(16). Which is bigger: y or -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*w - 326, -6*i - 3*w = -3*i + 267. Which is bigger: -83 or i?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8606 divided by 58.\nAnswer: 4303\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 6. Let m be i(3). Suppose 5 = 3*q + 2*r - 19, -m*r + 9 = 0. Suppose 3*v = 2*a - 86, 3*v = -q*a + 3*a + 114. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.8811 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 28*v**2 - 75*v + 2965. Calculate f(17).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/28*((-6006)\/72)\/(-13). Let r = -3 - -2. Do r and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3288176 to 1 decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*sqrt(637)*-1)**2*6.\nAnswer: -2100*sqrt(13) + 95700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460412*t**3 + 7 - 903886*t**3 - 8.\nAnswer: -1364298*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 28, -1671112 in descending order.\nAnswer: 28, 2, -1671112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 28ee (base 15) to base 4\nAnswer: 2021012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a**2 + 2 - 2)*(5*a + 0*a - 4*a) - 2*a**3 - a**3 + a**3 + 4*a**3 - 5*a**3 - a**3)*(12 + 10*a + 12 - 18).\nAnswer: -60*a**4 - 36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 11*y - 2*y - 6 - 5 as a + m*y and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13329 + 14075 = -305*a - 4316 for a.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 2*a**3\/3 + 3*a**2\/2 + 8*a + 17. Let k(z) = 3*z**2 + 6*z + 17. Let p(h) = 3*k(h) - 5*y(h). Give p(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*((sqrt(147) - (-3 + sqrt(147)*1)) + 6*4*sqrt(147)))**2.\nAnswer: 1344*sqrt(3) + 338692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -61.7. Let b = 5 + -8. Let r = 1\/45 + -2\/9. Sort z, r, b.\nAnswer: b, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, 95, 215, 383?\n\"Answer: 24*q**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2592*q + 488*q = -96810 - 6286 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33 and -96.6.\nAnswer: -3187.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/11)\/((-243)\/(34749\/26)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 4*v + 5. Is z(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x - 2. Let t be f(2). Suppose -4*m - 2*l = 0, 3*l = -2*m + 4*l + t. Suppose 0 = -u - m, -4*j + 2*j + u = -10. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/14)\/(2\/14). Let x(d) = -9 + 6*d - 7*d**z + 0*d - d**3 - 1. Let g be x(-8). Solve -2 = 3*r - l + g, r + l = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (46 - 40) + (-3 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0412696 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 907, 1069, 1231?\n\"Answer: 162*i + 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3784 = 5861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/((sqrt(20) + sqrt(20)*3)\/sqrt(5)) + 0.\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -209, -440, -681, -938, -1217, -1524, -1865?\n\"Answer: -z**3 + z**2 - 227*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493566 = 4*q - q + 2*s, 329031 = 2*q - 3*s. Is (-4)\/16 + q\/32 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 + 12*o**2 + 5*o - 31. Let p be -27*12\/(-4212) + 114\/39. Give l(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 4*r**2 - 14*r - 12. Let q be m(-6). Solve q*p + 3 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67.2959 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 25850.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 726860 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - -18) + 1720\/104?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*x + 19. Let v(t) = 6*t - 3 - 3*t + 15 - 2*t. List the prime factors of v(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 901 + 910 = -k, 47 = 5*i - 4*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1134)*3)\/(sqrt(28)\/sqrt(196)*-4).\nAnswer: 945*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 440.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3612)\/(-48) + 6\/8 + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126717 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 22 - 76 = -c, 2*b - 380 = -4*c. Let o be 9*-5*20\/(-75). What is the greatest common factor of c and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12306 and 42?\nAnswer: 12306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3051358 to the nearest integer?\nAnswer: 1747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 585057*d + 39198813. Determine y(-67).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:43 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 - 5*z**4 + 3*z**4 + (-4*z + 4*z - 2*z)*(11*z**2 - 5*z**2 - 3*z**2)*(26 - 26 + 29*z) to the form q*z + l*z**2 + m*z**4 + c*z**3 + x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 51473?\nAnswer: -25736.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -3821751\nAnswer: 1528700.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -36. Suppose 2*z + 81 = 89. Calculate the least common multiple of w and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 1, 31, 95, 205?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, 7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 - -76. Suppose 35 = -6*n + 11*n. Calculate the highest common divisor of v and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + z = -0*c + 8, -4*c + 5*z = 21. Let x(b) = 15*b**2 - b. Let f be x(c). Suppose -4*d - 17 = -49. Solve 2*s - 2*o = -d, -3*o = -2*s - 2*s - f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*p - z, -4*p + 2 = -5*z + 1. Let m be (p\/(-2))\/(3\/(-72)). Let b be (-1)\/(((-14)\/m)\/(-7)). Solve 0 = -3*c - 21 + b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1588 is divided by 55?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/3, 77, -0.2, 6, 2\/27?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + 18 + -18 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1012211000?\nAnswer: -1012211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 t when four letters picked without replacement from tddttttttttt.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 211*n**2 - 1686*n - 11. Determine u(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/20)\/(47\/470).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 27202040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513 and 627?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105372 or 105373?\nAnswer: 105372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-121 + -26)*2\/(-3). What is the third biggest value in -1, o, -3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1295*c**2*h**5 + 8*c**2*h**2 - 3*c**2 - 2*c*h**5 - 7*h wrt h?\nAnswer: -77700*c**2*h**2 - 120*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = k, -3*u - 6 = -0*u. Does 11 divide -1*33\/(-6)*k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 24, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -216.141 and -0.00507583.\nAnswer: -216.14607583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237135*j**2 - 1026*j**3 + 474265*j**2 - 237131*j**2.\nAnswer: -1026*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 106162459 to the power of 1\/2, to the nearest integer?\nAnswer: 10304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1295584*k*q**5 + 3*k*q**2 - 32*k - 9*q**6 - 21582*q wrt q?\nAnswer: 77735040*k*q**2 - 1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 108900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 205, 831, 1885, 3373, 5301, 7675?\n\"Answer: r**3 + 208*r**2 - 5*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/(-4 - (-17)\/4). Let z = -9 + 46\/5. Determine v, given that -1\/5 + 0*v + z*v**p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 16*r**2 - 16*r + 19. Let c be n(15). Let a(y) = -y + 6. Calculate the least common multiple of 16 and a(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 9\/(-6)) + -2. Let w = -0.03 - 0.17. Let b = 190\/21 + -28\/3. What is the third smallest value in b, w, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9624778, 9624761, 9624720, 9624643, 9624518?\n\"Answer: -2*m**3 - 3*m + 9624783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcffffffffff. What is prob of picking 2 f and 1 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 476 and 84?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559200.\nAnswer: 2, 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2906*d + 322190 = 2649*d for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 108 + 18. Find the common denominator of -47\/7 and ((-42)\/(-35))\/(m\/(-160)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -0.9. Let z = 0.1 - j. Which is the nearest to z? (a) -1 (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 1, -0.5, 4, 2\/5, 19067?\nAnswer: 19067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 9*h + 6. Let y be 80\/(3 - -2) + -5. Is 7 a factor of s(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 1250*d**2 - 8505*d.\nAnswer: -5*d*(d + 7)*(d + 243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/136 and 25\/328.\nAnswer: 5576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16507 + 17696. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011011 (base 2) to base 11\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12778689967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109492 is divided by 711.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 29*b**2 + 2*b. Suppose -5*o = c + 5 - 4, 5*c + 3*o = -5. Let s be r(c). Suppose 2*q + s = 3*q. Solve -2*x = -4*h + 10, -6*x = -x + 3*h - q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4394028 - -3054028. Round b to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -52.174?\nAnswer: -51.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -34*r**5\/15 + 91*r**4\/6 - 569*r**2. Find the second derivative of f(q) wrt q.\nAnswer: -272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 879*n - 6719. Calculate the remainder when o(14) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 9.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6 - 7*k - 5*k + 6*k**2 - 6 + 6. Let g = 36 + -52. Let d(w) = -2*w**2 + 4*w - 2. Let i(v) = g*d(v) - 5*b(v). Factor i(o).\nAnswer: 2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + 0.4. What is the nearest to -2 in 0.2, 2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**3 + 2*d**2 - 2. Give c(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3399824, 3399891, 3399958, 3400025?\n\"Answer: 67*b + 3399757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2. Let v(z) be the third derivative of 0 - 1\/12*z**4 + 0*z + 0*z**3 - z**2. What is a(v(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 90ca9a + -3?\nAnswer: 90ca97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -42, -88, -162, -270, -418, -612?\n\"Answer: -t**3 - 5*t**2 - 2*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 - -0.011255?\nAnswer: -152.988745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 960 and 60?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o - 398 - 4*o**2 + 27*o + 387. What is p(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55800 and 38698416?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1\/5, -4, -800820, 0.5 in increasing order.\nAnswer: -800820, -4, 1\/5, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - y - 3*g + 16, -4*g = -y + 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 19*a**2. Let d(x) = -46*x**2. What is q(d(v))?\nAnswer: 40204*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*x = -57, -13 = -5*g - 5*x + 47. Suppose 2*q - 4*f = 3 - g, -q - 2*f + 11 = 0. Determine a so that 0*a**5 - 5*a**3 + 2*a**3 + 2*a**q + a**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415, 1652, 3713, 6598, 10307, 14840?\nAnswer: 20197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79.8278145 - 163.82780698. Let p = -1.93 + -82.07. Let s = f - p. What is s rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2. Let n(v) be the third derivative of -7*v**4\/24 + 11*v**3\/6 + 11*v**2. Let d(u) = 4*u - 6. Let j(x) = 11*d(x) + 6*n(x). What is j(y(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1055530994?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4)*-1)\/((-17)\/102)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 30, h + 5*p + 46 = -5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -d + 5*y + 13, -4*d + 3*y - 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((3596\/(-986))\/31).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 25*r**2 + 93*r + 16. Determine d(-21).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-980)*-14*(-1)\/1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0\/(-3) + 52\/(-18))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s - 404 + 258 = -212 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5181, -1, 3\/8, 9.\nAnswer: -5181, -1, 3\/8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10815 + -78?\nAnswer: -11004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122.3 + 131. Let w = -9 + z. Let g = w - 0.2. Which is the closest to -3? (a) 4 (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -381 - -426. What is the common denominator of v and -19\/185?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9301190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*m, -19 = 2*w + 5*m + 8. Which is the nearest to -0.1? (a) 0.3 (b) w (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58? (a) -2\/3 (b) 0.3 (c) 77 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 2*y**3 + 70*y**2 - 258*y + 252.\nAnswer: -2*(y - 3)**2*(y - 2)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 1. Let v(c) = -4*c - 1. Suppose o = 3*z + 2, 5*z - 7 - 3 = -o. Let r(y) = z*v(y) - 3*h(y). Let s(p) = -p - 1. What is r(l) - 4*s(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((216\/(-2583))\/(-24))\/((-2)\/(-7))*-4.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(5*o - o - 2*o)*(-12*o + 120*o - 9*o) + (-7 - 3*o + 7)*(-5*o + 3*o + 3*o).\nAnswer: -201*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 1893001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqx when three letters picked without replacement from xzqmmmmxjmmzmqzmxt?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**3 - 94*x - 1. Let p(c) = 4*c**3 - 47*c. Give 2*m(t) - 5*p(t).\nAnswer: -2*t**3 + 47*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -2 - j**5 + 91*j - 1 - 95*j. What is the derivative of o(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1653150161?\nAnswer: 13, 67, 1897991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z. Let h(r) = 1. Let u = -75 - -76. Let w(l) = 4*l + 1. Let o(y) = u*w(y) - h(y). What is 6*g(d) + 10*o(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/9)\/w*w)\/((w\/w**31)\/w)*w\/w**12*w**(2\/19))**50 assuming w is positive.\nAnswer: w**(172850\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/10)\/((-14)\/(-2275)). Suppose -4*c + 458 = a. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.432 bigger than -6.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a factor of 10099791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 197*r + 128847*r**3 + 48 + 2*r**4 - 128793*r**3 - 51*r + 150*r**2 = 0.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*q + 16 = 56, f + 22 = -5*q. Let a = -9 - f. Suppose -2*g + a*m + 75 = 0, -g - 2*g + m = -116. Round g to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -10. Suppose -a*h = 22 + 50. List the prime factors of ((-116)\/(-30)*18)\/(h\/(-20)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 divided by 16?\nAnswer: -169\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 560 - 16*b**2 - 560.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47283 rounded to two dps?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 2. Let f = r + 55. Let d = f + -31. Sort -5, 1, d.\nAnswer: -5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, k: 5, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -13. Let f(a) be the third derivative of -a**4\/12 - a**3\/2 + a**2. Calculate f(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*n**4 - 71 + 96650*n**3 - 8*n**2 - 96649*n**3 + 6*n**2 - 2*n**4 as d*n + i*n**4 + k*n**2 + o*n**3 + v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*1)\/sqrt(11) + (sqrt(66)*3)\/sqrt(6).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13391, 2551, -8289, -19129, -29969, -40809?\nAnswer: -51649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 255565 and 109810?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -1\/3, 1988855 in decreasing order.\nAnswer: 1988855, 4, 1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d + 70. What is the remainder when 34 is divided by n(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190309, 190314, 190329, 190360, 190413, 190494, 190609?\nAnswer: 190764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 43*i**4\/4 - 7*i**3\/6 - i + 32. What is the second derivative of t(x) wrt x?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 206444 by 9.\nAnswer: 206444\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 3, -2, 3380 in increasing order.\nAnswer: -27, -2, 3, 3380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/9 + 114\/2. Suppose -3*z = -4*z + x. Suppose -2*l + 22 + z = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Let g(k) = 2*k**2 - 7*k. Let o be g(h). Let t(m) = -2*m**3 + 5. Let x(c) = -c**3 + 3. Determine o*t(f) + 5*x(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 140868 - 463268. What is n rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 531 and 144133224?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6)**(6\/19)\/(n*n**(-17)\/n*n**(-4\/9)) assuming n is positive.\nAnswer: n**(3307\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**3 - 4*c**2 + 5*c - 4. Let d be (-66)\/1155 - (-309)\/(-105). Let x(t) = -5*t**3 + 3*t**2 - 5*t + 3. Give d*m(n) - 4*x(n).\nAnswer: 2*n**3 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 11, -35.84, 22, 0.2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-320)\/6*(85\/(-10) + 4). Suppose 4*q - 1836 - r = 0. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0256 + 34.0256. Which is the biggest value? (a) 1\/7 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x - 1. Let a(t) = -2*t. What is 8*a(y) + 3*l(y)?\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1938, 1938, 1942, 1950, 1962?\nAnswer: 1978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 + -0.54. Let g = -0.94 - b. What is the nearest to g in -4, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-56)\/(-8) + -3)*(-12086)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-215)\/15)\/(2*(-3)\/(-54)). Let k = 132 + n. Solve 6*o + 6 = k*o - 2*v, -5*o = v + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s**3 + 2*s**2 + 2*s + 1. Suppose -3*a = 5*v - 18, -2*v + 0 - 24 = -4*a. Let z = a - 3. Suppose c - 4*c - z = 0. Give i(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -848240*o**3*q*v**2 + o**3*q*v + 64*o**3*v + 2784*o**2*q*v - 21*o*q*v**2 - 5*o*q*v - 2*o*q wrt v.\nAnswer: -1696480*o**3*q - 42*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 1:26 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 480488.6 micrograms?\nAnswer: 0.0004804886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 7. What is the greatest common factor of 185 and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from bkbbpbbbqbbb.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -a4852a (base 13) in base 8?\nAnswer: -16526777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17369.\nAnswer: 11, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**2 - 3. Let x(y) = -5*y**2 - 4. Let l(g) = 4*n(g) - 3*x(g). Let k(q) = -12*q**2 + 3*q**2 + 10*q**2. Determine l(k(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-339*a + 411*a - 235*a).\nAnswer: 326*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3*o - k**2*o**2 - 9*k**2 - 2*k + 403*o**2 wrt k?\nAnswer: -12*k*o - 2*o**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(40)\/sqrt(4)) - (sqrt(2) - sqrt(14)\/(sqrt(14)\/sqrt(2))))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from {m: 3, h: 1, f: 1, t: 4, z: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.3 (b) 22 (c) 0.4 (d) -194\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - u + 7, 9440*w = 9439*w - 5*u - 43 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + 3221?\nAnswer: 3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.1 - -4. What is the third biggest value in 2\/85, l, 3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-60)\/(-54))*-32. Calculate the greatest common factor of 48 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/18 - (-1)\/(18\/14). Which is the closest to x? (a) 14\/11 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 43. Let q(f) = 4*f + 3265. What is -5*g(c) - q(c)?\nAnswer: c - 3480","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 141\/123)\/(110 + -145 + 37)?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 10) to base 16.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. Suppose -4*b - 5*n + 10 = 0, -2*n + p = -2*b - 3. Factor -3*y + b*y + 2*y - y**2.\nAnswer: -y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -880*s + 60852 + 33377 = 13269 for s.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h - 692. Let n = h - 118. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6542716 + -4302716. Suppose -7*i = -3*i - z. Round i to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11731.5 + 14881. Round m to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 3. Let z be k(-4). Let m(n) = n - 8*n**2 - 3*n**2 + 0*n. Calculate m(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467946386 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1257760 and 640?\nAnswer: 5031040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12b - -2?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.02602 micrometers to kilometers.\nAnswer: 0.00000000802602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0274 + 0.025208. Round f to five decimal places.\nAnswer: -0.00219","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 + 54.9. Let f = 0.1 + j. Let i = 3.94 - -0.06. Which is the second biggest value? (a) f (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-13)\/n**5 assuming n is positive.\nAnswer: n**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188 and 3713?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 34*w - 36. Let c be a(3). Suppose 0 = -4*u - u + 165. Calculate the greatest common factor of c and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/132 and -151\/312.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/4972 and -101\/264.\nAnswer: 29832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 12*d**2 - 5*d - 102. Give z(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -1.43.\nAnswer: -0.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31831 = -4*h - 38169. Round h to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11913301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.34104um in nanometers?\nAnswer: 89341.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.173089 - -2412.42019\nAnswer: 2412.593279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.728 - 13.1. Let q = j - 0.028. Put q, 9, 2 in ascending order.\nAnswer: q, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -26. Suppose -d = d - 68. Calculate the remainder when d is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.828223 years in centuries?\nAnswer: 0.03828223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 3*a - 24, -77 + 93 = 4*a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 2. Let u be q(2). Solve -4 + u = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5512 rounded to 2 decimal places?\nAnswer: -4.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(1\/(-9 - -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135454 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73371 - 146758 + 26*g + 73387.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74017768 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 8:56 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7290, -14618, -21948, -29280?\nAnswer: -36614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(8\/(-3)) + (0 - 5). Let o be (68\/(-3))\/(h\/3). What is the highest common factor of o and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3155.684mg to grams.\nAnswer: 3.155684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 0*q**2 - 4*q**2 + (1 - 1 - q)*(2*q - q - 2*q))*(-28*q**2 - 57*q**2 + 25*q**2).\nAnswer: 60*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 589*v - 184*v + 572*v - 68*v to the form c*v + k and give c.\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(189)*2)\/sqrt(9)*-1)\/((-3*sqrt(21)*-2 + sqrt(21))\/(sqrt(96)\/sqrt(2))))**2.\nAnswer: 6912\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/9 - 142184*n\/9 - 142178\/3.\nAnswer: -2*(n + 3)*(n + 71089)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.7549 take away 3932128?\nAnswer: -3932073.2451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + 0*w - 2*w**4 + (-w**2 - w**2 + 5*w**2)*(2*w**2 - 3 + 3).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, p: 12}. Give prob of sequence paap.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 386 + -767. Let q = i + 421. What is the remainder when q is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*p + 2*p**3 + 14*p + 8*p)*(4 - 1 - 3*p + 4) to the form m*p**4 + h*p**3 + b*p**2 + c*p + k and give b.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + w - 5. Let g(x) = -x + 1. Let s(r) = -6*g(r) - 2*h(r). What are the prime factors of s(5)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73420896.\nAnswer: 2, 3, 31, 24671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 337347634 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4305129 and 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 2*c**2 + 168 - 19\/3*c**4 + 0*c - 113\/6*c**3. Find the first derivative of p(z) wrt z.\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 167316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -239 + -57440\nAnswer: -57679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/88 and 35\/136.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 = -3*j + 262. Sort 2, -1, j, 4 in descending order.\nAnswer: 4, 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*u**3 + u**2 - 949 with respect to u.\nAnswer: -192*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 9 - 3)*(5*j**5 + j**5 - 5*j**5) + (1874*j - 1874*j + 466*j**5)*(-2 + 4 + 0).\nAnswer: 928*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g = -158*g - 896 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -14*w - 104. Let b be f(-8). Suppose 6*h = h. Suppose 2*q = 4*x - 12, h*q - 5*x + 15 = 3*q. Solve q = 3*p - p + b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 5*v - 6. Let a be b(-7). Solve a = 4*f + 28 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-2)\/6*0\/12. Suppose x = 4*k - 4565 + 1129. List the prime factors of k.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123512573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g + 3*g)*(2 + 4 - 3) + 2*g + 0*g + 2*g + (2 - 5 + 5)*(-2 + 2 + 2*g) - 2 + 2 - 2*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37468.59 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 1\/7 (b) -2\/17 (c) -5 (d) -4 (e) -177.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (6 - (-1 - -8) - 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w - 188592 + 93860 + 93994 + (0 + 3 - 5)*(-w - w + w).\nAnswer: -w - 738","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 1c?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 3*r - 3*z - 42, 5*z - 315 = -5*r. What is the remainder when r is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 6:48 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*l + 123, 870*l - 874*l = -a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2870\/(-164) + 16)*2\/11.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.7 - -37.\nAnswer: 30.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 14, u: 1, n: 5}. What is prob of picking 4 n?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2005789010 to the nearest 1000000.\nAnswer: -2006000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -250.069\nAnswer: -250.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20036 (b) -4 (c) -2 (d) 1\/3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 = 4*h - 4*g, -4 = 3*h + 4*g. Let n be 383 + (-4 - 2 - -4). Suppose h = 4*l + 3*s - 0*s - 320, -5*l = -s - n. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 10. Suppose -3*m - 110 = 184. Calculate the lowest common multiple of (-1)\/(-5) - m\/10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 20.8.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s - 7*s - 3*s + 200 - 57.\nAnswer: 2*s + 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 5*x + 25, 6*s + 6188 - 6159 = x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 450 + 752*h**2 + 200 + 250 - h**3 to n*h**3 + m*h**2 + d*h + x and give m.\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1399*f**2 - 3*f + 5*f - 2*f - 1744*f**2.\nAnswer: -345*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 6:33 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3 = 24*t - 23*t, 0 = -2*a - 4*t + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one quarters of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 212 = -188. Sort j, 0, -7 in decreasing order.\nAnswer: j, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 6*s - 3. Let p be n(-5). Let j = 0 + p. Let o(d) = -4*d**2 + 1 - 2 + j*d**2 + 4*d. Let y(h) = 2*h**2 - 5*h + 2. What is 3*o(a) + 2*y(a)?\nAnswer: -2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7109305187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*c - 4*c + 2*c)*(-5*c**2 + 4*c**2 - 2*c**2) - c - 5*c**3 - 1108 + 1109 + 2*c**3 as a*c**3 + g + d*c**2 + t*c and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/16921725 or -1?\nAnswer: 2\/16921725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3037 + 3217. Calculate the highest common factor of 400 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1589, 2769, 2977, 1727, -1467, -7091, -15631, -27573?\n\"Answer: -81*f**3 + 1747*f - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -711598, -712949, -714302, -715657?\nAnswer: -717014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, t: 3}. What is prob of sequence ttg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 24 - 31 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424518 is divided by 243.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -135, 1121, 3055, 5661, 8933, 12865, 17451, 22685?\n\"Answer: -s**3 + 345*s**2 + 228*s - 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3831 and 507.\nAnswer: 647439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 101662340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -84, -79, -72, -63?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*m + 10 = 0, -5*m + 9 = -4*q. Suppose 3*s = 4*t - 7539 - 2711, -q*t - s + 10258 = 0. Suppose 13*b - t = 9*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 206392 in 0, -5, -2\/3, -2\/5, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2493 - 2488. Let r = -25 + 36. Suppose r = x - 5*x - 3*u, 0 = -t*x + 5*u + 30. Which is smaller: x or 20\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135908652.\nAnswer: 2, 3, 11, 93601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 12*s**2 + 12*s + 10. Let k be h(-13). Let d = 27 - k. Suppose d*a - 5*y - 3247 = -0*y, 0 = 5*a + 5*y - 4070. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 10. Let w be p(10). What is the common denominator of w + 3\/24 + 3 and -59\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 854922890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7355 is divided by 176?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23170623 by 609.\nAnswer: 38047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 237?\nAnswer: 5\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 103362 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/6 in 2, -3, 3, -136?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, 14, -58 in increasing order.\nAnswer: -58, 14, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -548 times -0.18?\nAnswer: 98.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 8*x**2 + 14*x - 14. Let t be a(6). Let p = 57 + t. What is the remainder when p is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*a = 5*l - 333*a + 20, 16 = -l + 3*a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m - 19. Let c(n) be the first derivative of -n**3\/3 - 6*n**2 - 15*n - 3. What is the remainder when d(-18) is divided by c(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f = -20*f - 15562. What is the remainder when f is divided by 248?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 0. Let j = 27636\/69115 - -2\/13823. What is the third smallest value in y, -5, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -242, -241, -240, -239?\n\"Answer: q - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1236 - -1245. Which is the closest to 1? (a) -2 (b) -5 (c) t (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2890 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*l + 2*l. Suppose q + 3*p = 2*p + l, q - 2*p = 17. Calculate the least common multiple of q and ((-1)\/2 + 0)*-10.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64675 and 5550025.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r**2 + 5 + 4 - 11*r**2 in the form q*r + y + h*r**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 4*h**2 + 6*h - 22. Let x be k(4). Is 1*-1*(-2478)\/12*x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 1 + sqrt(704) + 3)**2.\nAnswer: 128*sqrt(11) + 2832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*n + 16, 2*p + 0*p = -5*n - 11. Suppose p*x - 1372 = -5*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 23*b**2 + 22*b + 15. Let s be d(-21). Suppose -n = 5*m - s, 0 = -m - 4*m - 10. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 16) to base 3\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 187517 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -18141271 take away 443248?\nAnswer: -18584519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + l - 86, -2*c + 27 = 3*l + 3. What is the remainder when c is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 1. Let u(r) = 3. Let n = 233 - 228. Suppose -n*d + 12*d = -21. Suppose c + 2 = -c. Calculate c*u(a) + d*t(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, -2, -23, 4 in descending order.\nAnswer: 11, 4, -2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w**2. Let c be 6 + -13 - (-1 + -1). Let y be c\/2*104\/(-65). Let r(i) = 3*i - y*i + 0*i. What is r(t(n))?\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + w + 181 = 4*t, 0 = 4*t + 5*w - 139. Let b = -16 + t. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -458, -1020, -1806?\nAnswer: -2816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o - 21*o + 44*o)*(504 - 7*o**4 - 504).\nAnswer: -98*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -38 - 70. Suppose 3*z = -0*z - 9, -5*z = t + 12. Suppose 3*f - w - 239 + x = 0, -2*f = t*w - 145. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(30)\/((sqrt(66)*2)\/sqrt(11)) + (sqrt(4840)*2 - sqrt(40))\/(sqrt(200)*2))*-1.\nAnswer: -13*sqrt(5)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**3 - 30*q**2 - q. Suppose 21*z - i = 17*z + 37, 5*i - 15 = 0. Let f be x(z). Solve f*a + 9 = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9101935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6619*m**2 - 19838*m**2 - 16*m**3 + 6607*m**2 + 6612*m**2 + 0*m**3.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 84144 divided by 28048\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - o + 43 = 0, -5*a + 104*o = 90*o + 73 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(1\/6)*u)*u**(-5\/6))\/(u*u*u**(-4)*u*u**5))**(3\/7))**(9\/5) assuming u is positive.\nAnswer: u**(-162\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 2*h - 5. Let w(y) = y**2 + y + 4. Let c(n) = 6*q(n) + 5*w(n). Let s be c(-2). Let i(j) = j**2 - j + 3. Calculate i(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/77 in 0.4, 3, 0.93, 2\/7, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 637 - 616 - (-7 - 1)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l + 2*l + 4*l + (6*l - 2*l - 3*l)*(3 + 0 - 5) - l - 2 + 2 - 3*l + 3*l + 5*l + (2*l + 5*l - 3*l)*(-4 + 3 + 3) to u*l + i and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 199*w**2 - 4.\nAnswer: -199*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -0.04695?\nAnswer: 2.95305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000066 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 139, -1263, -3150?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.9 + 4. Let l = x - -2. Let y = -3 - -2.9. Sort y, 2\/11, l.\nAnswer: y, l, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 54 + 6. Suppose z = 5*l - 0*u - u, 0 = -2*l - 2*u + 4. Suppose l*x - 146 = x + 2*a, 5*a - 365 = -5*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -372\/5 (b) -0.5 (c) 9\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*d = -26, -18 = -24*i + 20*i + d. Solve -3*g - i + 7 = 2*o, 0 = 3*g + 4*o + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b + 6. Suppose -7*t = 22*t. Let z be c(t). Let f(o) = -o**3 + 5*o**2 + 6*o + 3. Give f(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59205 divided by -12?\nAnswer: -19735\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 + 0.7. Let w = x - -0.5. What is the nearest to -1 in 2\/19, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 3, 0, 21, 264, 2, -3 in decreasing order.\nAnswer: 264, 46, 21, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + -7*(-121)\/154*4)\/8\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*f - 162*f + 384*f = 37716. Calculate the remainder when f is divided by 165.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 81. Let i be (5\/(-8))\/(6\/(-240)). Let n = l - i. Solve 3*a + 2*o + n = 3*o, 0 = 4*a - o + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = y. Let x = -3 - y. Is x < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1134756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(9\/(-3))*1*(-16)\/(-80).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = m + 4*j, 5*m - 5*j = -6*m - 15 - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10ba + -1?\nAnswer: 10b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.091049 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19a (base 11) to base 6.\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*v = 0, -4*g - 2*v - 13 - 17 = 0. Let o be 1 - (g + 3)\/2. Let l**2 + l**2 - o*l**2 + 0*l**2 + 2 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155335 divided by 1.\nAnswer: 155335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + 0 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*m + m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 7:35 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 - 21*k - 287. Calculate o(0).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 6 = -5*f. Suppose -5*h - f = -3*h, -5*z + 5*h = -45. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -243842472.9 to the nearest 100000.\nAnswer: -243800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224083?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 23*m**2 + 12*m + 1. Let r(c) = -102*c**2 - 51*c - 2. Let s(a) = -9*j(a) - 2*r(a). Let t(z) = 6*z**2 + 13*z + 11. Give -13*s(w) - 6*t(w).\nAnswer: 3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 14 (b) 0.094 (c) -2\/13 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 4*t + 8, 4*z - 3*t + 104 - 75 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/3 + 1 - 3. Let o = 4 - 3.6. Is y less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**(-2\/5))\/q*q*q)\/q*q**(-3) assuming q is positive.\nAnswer: q**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40920020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - h + 2. Let m be 7 - (1 + 2 + -5). Let y = -48 - -50. Let z(g) = 3*g**2 + 5*g - 9. Determine m*f(k) + y*z(k).\nAnswer: -3*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12133 = 4*o + 20099. Let u be 4\/34 - o\/289. Let j be 6*5*u\/6. What is the highest common divisor of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/(1 - 4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7430 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**3 - 8 + 2*z**3 + 2*z + 10 as w*z + m*z**3 + t + d*z**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3 + c**2*f + 209*c*f - 9*f - 3 with respect to c.\nAnswer: 6*c**2 + 2*c*f + 209*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 99 in -3, 4, -1, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -12.1?\nAnswer: 2.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 0.7 (c) -8377\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w + 23. Let l be m(-6). Solve 4*g = -b - 14, -l*g - 10 = -g - b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*b**2 - 72*b**2 + 1 + 16*b**2)*(0 + 0 + 3).\nAnswer: -282*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6d4ba7 (base 15) in base 10?\nAnswer: -5230507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from byffyfd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021104122 (base 5) to base 7.\nAnswer: -46460153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5341941517?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -623094 divided by -207698?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*g + 2*g + 105 = 0, 0 = -5*z + g + 182. Suppose -2*f + 94 = 4*s, z + 10 = f - 4*s. Suppose -l - 3 = -f. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**4\/8 - a**3\/2 + 5*a**2. Let c(l) = l**2 - l + 1. Let q(n) = 3*c(n) + f(n). Let v(k) = 3*k. Give v(q(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 - 22 - 3*y)*(-5*y + 4*y + 8*y) as a*y**2 + q + s*y and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -561 and -564 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79.97 - -79.87. Is v smaller than -2398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3108)\/313)\/(5\/10*-22). Let j = x - -2\/313. Calculate the common denominator of j and -19\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19319173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83716333.\nAnswer: 83716333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.79 rounded to 1 decimal place?\nAnswer: -24.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + (2 - -1 - -7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 50*i**2 - 568*i - 73. Calculate z(-23).\nAnswer: -1292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1200 - 1196. Let h(g) = n - 15*g**2 - 4 + 4317*g - 4317*g. Let t(r) = 9*r - 6. Let a(o) = -19*o + 13. Let p(f) = 6*a(f) + 13*t(f). What is h(p(j))?\nAnswer: -135*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 2:28 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38514 and 2107.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13826 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**4 + 118*q**3 - 1698*q**2?\nAnswer: -96*q + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1168156.\nAnswer: 2, 11, 139, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brmnp. What is prob of picking 1 n and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 12, g: 3}. Give prob of sequence vvg.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 9*x - 9. Suppose -14*g + 19*g = 10. Let m be y(g). Solve -c - 6 = m*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h - 1. Let f be a(-9). Let x = f - -181. Let p = 4 + 8. Calculate the greatest common factor of x and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 n when four letters picked without replacement from {n: 9, h: 9}?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 780 = 6867. Let u = x - 1646. Let m = -96 + u. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(343)*-5 + 2*(sqrt(7) - sqrt(28) - sqrt(7) - sqrt(7)) + 2*(sqrt(7) + 3))**2 + -3.\nAnswer: -888*sqrt(7) + 38365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 7 + (2 - 4 + 4)*(6 + 1 + 1) - 45 - 65 + 4)*(-6*a - 16*a - 8*a - 17*a).\nAnswer: 4183*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n**3 + 10*n**2 - 899*n**5 - 3*n**3 + 874*n**5 wrt n?\nAnswer: -1500*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45\/(-20)*(-16)\/6. Let y be ((6\/(-3))\/(-4))\/((-7)\/f). What is the nearest to -1 in -3, 1\/6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*r = -16, 5*r + 5 = 5*o + 6*r. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6*m = -18. Let p be 11\/(-22)*-1*m. What is the second derivative of 3*y**p - 3*y**3 - 8*y - 9*y**4 - 8*y wrt y?\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**6\/40 + 9*p**5\/20 - 3*p**4 + 10*p**3 + 2155*p**2. Factor c(j).\nAnswer: -3*(j - 5)*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/90228 and 95\/349962.\nAnswer: 72092172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7c124c - 2?\nAnswer: -7c1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 5\/16*g**4 + 0*g - 5\/2*g**2 - 32 - 5\/4*g**3. Factor j(n).\nAnswer: 5*n*(n - 4)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.588 + 14.588. What is the nearest to 0.321 in -1, f, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8685 + -0.8585. Which is the second smallest value? (a) -54 (b) w (c) -2\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2 - 3*a**2 + 1 - 8 - a**3 - 1 - 5*a. Let u be f(-3). Solve -9 = u*l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 14. Let v(z) = 1. Let a = 35856 - 35855. Determine a*h(n) - 3*v(n).\nAnswer: -n - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 24*n + 14. Determine s(8).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 840967, 1681935, 2522903?\n\"Answer: 840968*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -987 - -990. Suppose 5*p + 3 = -17. Sort p, -0.2, a, -1 in decreasing order.\nAnswer: a, -0.2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76.66541 + 0.04541. What is i rounded to the nearest integer?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26428 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -35. What is the first derivative of -4 - x + 13*y**4 - 41*y**4 wrt y?\nAnswer: -112*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10112210 (base 3) to base 7\nAnswer: -10353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/93, 0.2, 4, -2\/15?\nAnswer: 5\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191 + -194. Let s(i) = -i. Let x be s(3). Is z smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18816787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + s = -95302, -328*d + 2*s + 95300 = -324*d. Is 218 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (58 - (-6 - -41))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/80 and -79\/72.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 179600 to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 151, 302, 453, 604, 755?\n\"Answer: 151*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.3, -0.07, -0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 18 + -1 + (57 - 98).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -445 (base 7) to base 2\nAnswer: -11100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/(((-273)\/(-16))\/(-13))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8985 + -1207. List the prime factors of a.\nAnswer: 2, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16950908 to the power of 1\/2, to the nearest integer?\nAnswer: 4117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2153 is divided by 35?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qllnqqll. What is prob of sequence nl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*p - q - 6, -5*p - 3*q = 12. Let d = -5 + p. Let b = 15 + d. What is the remainder when b is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565748581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 6*y - 6. Let s be (0 - -1)\/(y\/6). What is g in -1\/2*g**2 - s*g - 2 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -598781\/3 or -199593?\nAnswer: -598781\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqhcmc. What is prob of sequence mh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 3*i**2 + 0*i**2 + (5 + 0 - 3)*(2*i**2 + 3*i - 3*i) - 25*i**2 - 40*i**2 + 17*i**2 to the form w*i**2 + n + y*i and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*q - 6*w - 12, -5*w - 2 = 4*q. Suppose 3*s + 5*d = 207, 0*s - 69 = -s - q*d. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = z + 5*l, 5*z + 10 = 5*l - 5. Is (3786\/14 - z) + (-15)\/35 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 7. Let l(q) = 25 - 4*q - 25 + q**2. Calculate l(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 545 + 2017808.4.\nAnswer: 2018353.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4075*p - 4. Let a(u) = u**3 + 7*u**2 - 9*u - 10. Let n be a(-8). Let c be f(n). Is c\/(-10) - (-2)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -6.6. What is m rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus 193373?\nAnswer: 193367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 23 = 4*f + 153, 0 = 2*f - 4*z + 86. Let p = f + 47. Suppose p*t = o - 119, 3*t + 303 - 69 = 2*o. What are the prime factors of o?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -947, -1221, -1495?\nAnswer: -1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -643*y = -644*y - 8 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from winw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3638 divided by 1091.\nAnswer: 3638\/1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2. Let y(a) = 10473*a. What is y(z(f))?\nAnswer: 31419*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*v + 8 - 44, -38 = -5*v - 4*n. Let 16*p**3 + 5*p**2 - v*p**5 - 12*p - 8 + 3*p**2 + 2*p**5 = 0. What is p?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1866 and -101\/96.\nAnswer: 29856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 24. Solve 21 = o*x - 4*a - 7, 0 = 2*a + 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m + 7 - 14 + 5*m. Suppose 0 = 4*n - 3*n. What is w(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c**2 - c**3 + 11*c**2)*(3*c - 3*c - 2*c**2) - 5*c**5 + 4*c**5 - 4*c**5 - 6*c**3 + 6*c**3 + 2*c**5.\nAnswer: -c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366 a factor of 34990510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvvn when four letters picked without replacement from nwwwwwvwwwnnwwvwww.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18992)\/(-48))\/(2\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 64. Suppose -2*w = i*k - 502, -5*w - 2*k + 3*k = -1255. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**8\/168 - 179*z**7\/210 - 41*z**4\/4 - 86*z**2 - z. Find the second derivative of c(p) wrt p.\nAnswer: -40*p**3 - 2148*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 151474 and 1514740.\nAnswer: 1514740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/5*14*-5. Let i(b) = -10*b + 144. Let r be i(n). Solve 4 = -r*u - 0*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/17 + 2054*k**4\/17 + 1200036*k**3\/17 + 144591040*k**2\/17 + 284398400*k\/17 = 0. What is k?\nAnswer: -220, -2, 0, 1469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 2. Let n = -20 - -23. Let k(r) be the second derivative of -r**5\/20 + r**4\/3 - 5*r**3\/6 + 2*r**2 + r. Let z be k(n). What is c(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(0 + (-2)\/24). What is the common denominator of (-1)\/(-4) + 97\/y and 3 + -3 - 73*4\/(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + 3*v + 7. Let h(s) = s**2 + s + 2. Let l = -6 + 10. Calculate l*j(i) - 14*h(i).\nAnswer: -2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 105413 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -1609.\nAnswer: -29\/1609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/5 + 22\/15. Let o = -329.76 + 337. Let l = o - 7.2. Put j, -0.4, l, 0.2 in increasing order.\nAnswer: -0.4, l, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 270414 and 1790?\nAnswer: 484041060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 9501 in decreasing order.\nAnswer: 9501, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 293854270 minus 4.3?\nAnswer: 293854265.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14430+-0.01815997\nAnswer: -14430.01815997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, -175 in ascending order.\nAnswer: -175, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/32 + 1420\/(-160).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -87 * -10\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -2 (c) -1.4 (d) 0 (e) -709 (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280690.38 months to millennia.\nAnswer: 23.390865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542457060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 697407511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + s = 3*b - 1, -4*b = -s - 8. Let x(l) = l + 2. Let j(v) = 2*v + 3. Let i be 11\/(-3) + 5\/(-15). Let r(m) = i*x(m) + 3*j(m). Calculate r(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.12 - -1. Let r = q + 5.22. Round r to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + h**2 - h - 2. Let m(x) = 1. Let p(c) = -1. Let n(f) = 7*m(f) + 6*p(f). Suppose -4*k + 0*k + 8 = 0. Let u = k - 3. What is u*j(r) - 2*n(r)?\nAnswer: r**3 - r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2546 rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -81*v**2. Let j(q) = 5185*q. Give j(k(n)).\nAnswer: -419985*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 15\/(-6))\/2. Which is the closest to 0.4? (a) f (b) -16 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1899726 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 5*c**2 + 2*c + 3. Let z be l(5). Suppose 4*t - f = 19, f = -2*t - 2*f + z. Solve -t*a + h = 15, -34 = 4*a + 2*h - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1737*c**3 - 18427*c**3.\nAnswer: -16690*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.5 (b) -1 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 62630833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1978 or -1969?\nAnswer: -1978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 0. Let b = -3 + q. Let x(r) = 11*r + 76. Let h be x(-7). Which is smaller: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.9 - 3.9. Let n = g + -8. Which is bigger: n or 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008466 rounded to 6 dps?\nAnswer: 0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1166858 is divided by 189.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -15*m - 228. Let k be (-4)\/16 - 51\/m. Solve 2*l - 3 = -h, -2*h = -k*l - 0*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g**0\/g))\/g)*g)\/g**(-5\/6))**(1\/24) assuming g is positive.\nAnswer: g**(11\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 126\/625 greater than -1.16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136927338 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 888*p**3*y**2 + 1533*p**3 - 6*p + 366*y**2 - 3*y - 659 wrt p.\nAnswer: 2664*p**2*y**2 + 4599*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 978806613 to the nearest integer?\nAnswer: 31286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17.3, -2\/7, -4, 1, 0.3 in decreasing order.\nAnswer: 17.3, 1, 0.3, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 10. Let z(a) = 6*a - 49. Let m(n) = 11*q(n) + 2*z(n). Let l be m(0). Suppose 4*i = i + 18. What is the greatest common divisor of i and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(((-9)\/(-7075158))\/((-6)\/(-4))). Suppose -o + g = -8841614. Round o to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -13*f**3 - 48*f**2 + 4*f - 77. Calculate the remainder when 2936 is divided by u(-5).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 163062, 325966, 488882, 651810, 814750, 977702?\n\"Answer: 6*c**2 + 162886*c + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 2*f**2 - f. Let b be o(1). Suppose 0 = -2*y - 2 - 2, b = j + y. Suppose 6*r = 5*r + 2. What is the highest common divisor of j and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) 2\/5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8806344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + f + f)*(4 - 3 - 2) + 61 - 61 + 10*f - 17*f - 1 + 3 + 20*f.\nAnswer: 14*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t**3 - 19*t**3 - 32 + 32.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 96\/(-256) - 37\/8. Let a = 1\/13 + 23\/39. What is the nearest to -1 in a, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 + 7*i - 7*i - 43*i**2.\nAnswer: -35*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30750115 or -8?\nAnswer: 30750115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*t + 7, -2*q + 3*q = 5*t + 13. Let o(r) = -2*r**2 - r. Let a(x) = 7*x**2 + x - 3. Let g(w) = a(w) + 4*o(w). Determine g(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3*78\/(-72))\/((-2)\/(-88)).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534767004?\nAnswer: 2, 3, 739, 20101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148942191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + c**2 - 4*c + 4. Let a be s(-3). What is the nearest to a in 5, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -7. Suppose -4*c + z*h = 10183, 4*c - 3*h = -148 - 10037. Is c\/(-33) + 4\/(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 9*k**2 + 2*k + 70. Let z be a(8). Suppose 9*h = z*h - 6227. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-292*d**3 - 9495*d**3 + 956*d**3)*(-4 + 4 - d) in the form f*d**2 + j*d**4 + k*d + c + i*d**3 and give j.\nAnswer: 8831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -6\/7*a**2 + 2\/7*a**4 + 4\/7 + 2\/7*a - 2\/7*a**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11*m + 2. Let o(s) = -4*s - 1. What is -8*o(a) - 3*z(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n + 41. Give z(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*o**3\/3 - 19*o**2 - 15*o + 25\/3 = 0. What is o?\nAnswer: -1, 5\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273 - r + 273 + 264 - 813.\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3039219.\nAnswer: 3, 337691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -201625?\nAnswer: 201630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6551.93 days?\nAnswer: 566086752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k + 10*k + 11*k - 2*k - k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 103.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2068, 8190, 18368, 32602, 50892?\nAnswer: 73238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-155582)\/(-49))\/((-6)\/(-21)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 8:25 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2747*a*n + 10*a + 129 wrt n.\nAnswer: 2747*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -118. What is the remainder when l is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 7*q**2\/2 - 35*q + 16. Let t be k(7). Solve -5*r - 4*j + 11 = -1, -r + t = -5*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s = 4*z + 16*s - 13, -4*s = 2*z. What is the third derivative of 6036*c**z - 6037*c**2 + 3*c**3 + 8 - 2*c**3 - 5*c**5 wrt c?\nAnswer: -300*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23792*b**6 - b**5 + 2*b**3 + 43258*b**2.\nAnswer: 2855040*b**3 - 60*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20608073 to the power of 1\/2, to the nearest integer?\nAnswer: 4540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -8*r**7\/105 - r**6\/24 - 199*r**4\/12 + 39*r**2 - r. What is the second derivative of v(d) wrt d?\nAnswer: -192*d**2 - 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -1736160\nAnswer: 173616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = -5*w + 15, 5*v = 5*w - 5. Let h(b) = -4*b**2 - 2*b**3 + 3*b**3 - 2*b**3 + 0*b**w - 1. What is h(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + q = 5*l + 1, 4*l = -q + 16. Let j be 0\/(-2 - (2 - l)). Solve -2*a - 4*x - 6 = -9*x, -5*a + x + 8 = j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -3 (b) 2 (c) -0.6 (d) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/2, -56387, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 762.6951 years to millennia.\nAnswer: 0.7626951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*72\/(-12)*(-50)\/(-420).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -8*y - 5*n - 27, 2*y + 3*n = 67. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10276179 and 320421.\nAnswer: 2523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 80*f**3 + 29601*f**2 + 441*f + 26272. Give w(-370).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49447, -88674, -107443, -95524, -42687, 61298, 226661?\n\"Answer: 1705*m**3 - m**2 - 51159*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0869 - -0.0869. Let k = -0.36 - 0.04. Which is the fourth smallest value? (a) 2 (b) l (c) k (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x**2 - x. Let s(z) = 3*z. What is o(s(u))?\nAnswer: -117*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in decades?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-15)*3\/6.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -n - 36. Suppose 3 = -3*f + n*f. Is (-844)\/((1 + f)*-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2975 or 2971?\nAnswer: 2975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*j + 4*f = -373, f = -5*j - 1922. What is the common denominator of -115\/6 and ((-434)\/j)\/((-9)\/(-15))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-15))\/((-2)\/12). Let z(x) be the second derivative of x**5\/20 - x**4\/3 + x**3\/2 - 3*x**2\/2 + x. List the prime factors of z(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 - 69. Suppose 0 = -3*k - 2*k - 5*o, 3*o + t = 5*k. Suppose -k*d + 2*j + 730 = 5*j, 2*d - 318 = 4*j. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59091440 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149414?\nAnswer: 2, 74707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(5*c + 9*c + 934*c).\nAnswer: 1896*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/(-8) + (-6)\/(-8). Solve -10 - 15 = -f*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -5846222, 3, 0 in decreasing order.\nAnswer: 3, 2, 0, -2, -5846222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 702 divided by -3\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p + 14 = -86 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -3\/4*d**4 + 1\/120*d**6 + 27\/4*d**3 + 0 - 1\/40*d**5 - 189\/8*d**2 + 120*d. Factor x(i).\nAnswer: (i - 3)**3*(i + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/882 and 86\/441.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**2*r + 178510*p**2 - 2873174*p*r + 5*r wrt p.\nAnswer: 6*r + 357020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 - 2*s**2 - 36*s + 69. Let y be g(2). What is the closest to 0 in -3, y, 0.43, 4?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38352 divided by -752?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**2 - 261*f - 1455. Let g be z(-59). Let n = 645 - 355. Calculate the greatest common divisor of g and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o + 8, 0 = -2*m - 5*o - 4. Let v = -1370 - -1374. Solve v*l = n + 10, -n + 14 = m*l + l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -19, 3 in descending order.\nAnswer: 3, -1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 12:26 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q. Let p = -971571 - -971757. Calculate the remainder when p is divided by k(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4416, 2, 43, -2, -4 in decreasing order.\nAnswer: 4416, 43, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 83085 and 955?\nAnswer: 83085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n. Let x(j) = -27*j. Calculate x(s(h)).\nAnswer: -324*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**7))\/(j\/(j*j*j\/(j**16\/j)*j))*j\/(((j\/j**(4\/9))\/j)\/j)*(j**26\/j)\/j assuming j is positive.\nAnswer: j**(193\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c - 5. Let w(o) be the second derivative of o**4\/12 + o**3\/6 + 13*o**2\/2 + 2*o. Calculate the remainder when w(0) is divided by t(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 4:55 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/153, -0.5, -3.\nAnswer: -3, -0.5, 2\/153, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 174, -3, 9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/2)*y*y)\/(y*y**6))\/(y**(-2\/11)*y)**(-2\/3) assuming y is positive.\nAnswer: y**(-65\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttttftftff.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 = -4*h + 2*w, 18 = 5*h + 4*w. What is the smallest common multiple of 28\/56 - (-2)\/4 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1535 - -1548 - (0 + 7) - (1 - -11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57244.97 millilitres to litres.\nAnswer: 57.24497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5473412 and 314257.\nAnswer: -5159155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 17*s + 49. Let l(v) = -2*v**2 - 18*v + 48. Let q(b) = 5*l(b) - 6*w(b). Factor q(n).\nAnswer: 2*(n - 3)*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, a: 3, b: 2, e: 3, o: 1, f: 1}. Give prob of sequence oan.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847*n + 15333 + 1298 = 2965 - 11744 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115 + -29 + 7 + 4 + -14?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*t - 196*t - 84*t + 439*t - 83*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 872 divide 17016744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -2025 (b) -0.06 (c) -2\/11 (d) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**5\/30 - m**4\/2 - 2*m**3\/3 - 30*m**2. Let l be p(-4). Suppose -l*x = -3*x - 2439. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146 and 3139.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7286694 divided by 8\nAnswer: 3643347\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*z**3 - 4 + 0 - 94*z**4 + 36*z**3 + 93*z**4 + 3 to q*z**2 + j + u*z**3 + a*z + y*z**4 and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 0*g + 0 - 2\/7*g**2 + g**3 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 7*g - 8. Let v be s(7). Let z = -8 - v. Suppose j + 3*x - 27 = -z*x, 0 = -j + 3*x + 21. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {f: 4, z: 4, r: 3, o: 1, x: 1, k: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 28. Let i = -10 + h. Solve -2*r + l - i = 3, -5*r + 3*l - 12 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*w = -25*w + 55*w + 644 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 1:56 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 1. Does 18 divide ((-24)\/l)\/(((-18)\/645)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/3 in -1\/2, 1544, 3\/19?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1125577*z**4 + 5603514*z**2?\nAnswer: 27013848*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*s - 18*s + 39*s + 2)*(-3*s - 10*s - 8*s + (-2 + 3 + 1)*(s + s + 0*s) - 2*s - 2*s + 2*s).\nAnswer: -38*s**2 - 38*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 871 - 892. What is the second smallest value in u, -0.2, 2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10640, -10638, -10636, -10634, -10632, -10630?\n\"Answer: 2*t - 10642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1446 - 1460 - ((2 - -21) + (3 - 3))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 2*p**2 + 6 - 15*p + 16*p + 13*p - 8*p**2.\nAnswer: -9*p**2 + 14*p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - v - 9. Let a be b(4). Solve -2*z = a*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347025*w**2 - 17 - 173500*w**2 - 173502*w**2.\nAnswer: 23*w**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49\/144 or -1?\nAnswer: -49\/144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 2*n**2 + 3*n - 4. Let p be m(-4). Suppose 2*t - p = -2*t. Suppose 7 = 2*w + 11. Put w, t, 0 in descending order.\nAnswer: t, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + (-4 + -3*sqrt(10)\/sqrt(5))**2.\nAnswer: 24*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*z + 7 + 5*z to the form y + w*z and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 4 = 5*a - 4*m, 5*a = 3*m + 16. What is the lowest common multiple of 7 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1503375 and 218385?\nAnswer: 3165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8800 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 12857.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 879986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-22))\/((-2805)\/(-2244) - (-10)\/(-24)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2263, 2252, 2239, 2224, 2207, 2188?\nAnswer: 2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 3*d + 0*d)*(-4 + 1 + 2 + (-4 + 1 + 2)*(4 - 3 + 0) - 4 + 4 - 2)*(5 - 5 + 2*d).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -13. Let f = -101 - -67. Let u = m - f. Let a(x) = 12*x**3 + 1. What is a(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**3 + 149928*g**2 + 149940*g - 299864 = 0. What is g?\nAnswer: -2, 1, 37483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4) - (-235)\/(-170). Which is the second biggest value? (a) -1 (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + 0*i - 11*i)*(-228*i + 19*i**2 + 228*i) in the form c*i**3 + w*i**2 + q*i + y and give c.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101100110010100 - -1011?\nAnswer: 10101100110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 3983?\nAnswer: -3985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = -0, 5*i = -2*o + 42. Let q(c) = c**2 - 7*c - 5. Let z be q(i). Solve -2*l + z*d + 11 = 0, -4*l - 19 = 4*d + 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 108115365.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6362540 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-255)\/(-17))\/135)\/(1\/(-6)). What is the smallest value in -2\/11, 0.44, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23964 divided by 7988.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i + 7*i**2 + i**2 + i)*(-1 + 1 - 2*i).\nAnswer: -16*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*a - 12*a + 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6240 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 2097.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -26. Let k = 14 + 1. Calculate the remainder when b\/(-10)*(-172)\/6 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-60))\/(3\/9)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 109*l**2 - 54*l + 5. Suppose 21*t + 65 = 8*t. Let u(k) = -110*k**2 + 55*k - 5. Let h(f) = t*g(f) - 4*u(f). Factor h(n).\nAnswer: -5*(3*n - 1)*(7*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 > -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1649 + -1217. What is the lowest common multiple of k and 918?\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -3*k - 4*r + 90, k - r = 17. Solve -88 = -k*q + 2 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4602, -4604, -4606?\n\"Answer: -2*h - 4600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -6 + 512\/88)*(-143)\/585?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -3*j**5\/20 + j**3\/2 - 2*j + 3. Let z(p) be the first derivative of g(p). Find the second derivative of z(t) wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 15*t + 60 = 0, -3*w + t = 2*t + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7906096 and 360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 12:09 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 1, q: 1}. What is prob of picking 1 q and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/8)\/k)\/k**(-3\/11))**50\/((k\/(k\/(k\/((k*k**2)\/k))))\/k**3*((k\/((k**(4\/3)\/k*k)\/k))\/k)\/(k**(-8)\/k*k)) assuming k is positive.\nAnswer: k**(-4459\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -80*c - 31. Let d(a) = 326*a + 118. Calculate -2*d(h) - 9*l(h).\nAnswer: 68*h + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + 0. Are 0 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24094712 or -24094705?\nAnswer: -24094705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -m - 5, 4*l - 3*m + 103 = 134 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 - -119?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-7))\/((-8)\/(-56)). Suppose -k*l + 11 = 1. Solve 0 = -4*r - 5*v - 10, v = l*r - v + 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = -0*s. Calculate the lowest common multiple of 3 and (1 + 0)*(s - -2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -22)\/(1\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-139)\/5 + (-2)\/(-4*5)*-2. Suppose 0*v + 28 = -v. Are v and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*k - 8*k - 43*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 385070021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**5\/20 - 19*o**4\/12 - 10*o**3\/3 - 16*o**2 + 10*o - 7. Calculate v(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 10*m + 20. Let z(i) = -3*i**2 + 31*i + 78. Let p(n) = 21*k(n) - 6*z(n). Factor p(a).\nAnswer: -3*(a - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*(2 - (-8 - 1)) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(80) + sqrt(5) + (sqrt(45))**2 + 5 - (0 + sqrt(5) + -4*(sqrt(5) - (sqrt(5) + 1)) + sqrt(5)))*-1.\nAnswer: -49 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103925302 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by -5\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17c3 (base 14) to base 9\nAnswer: -5783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166254 is divided by 875.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*f - 96, -4*f + 9*f - 3*h - 266 = 0. What is the highest common factor of 234 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 600*d + 4. Let r(m) = -117008*m - 781. Let a(c) = -4*r(c) - 781*w(c). Let v(b) = b. Calculate v(a(p)).\nAnswer: -568*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**3 + 4*o**2 + 68*o + 60 = 0.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1836 + 1836 - 34*q**2. Let v(h) = -3*h. Give v(j(c)).\nAnswer: 102*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.9 - -0.1. Let q = i + -4. Let g = q - 5. Sort 0.4, 1, g in ascending order.\nAnswer: g, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a4 (base 15) in base 14?\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2266 - -24928\/11. Suppose 19*h - 14*h = 0. Factor 0*a + h*a**2 + 8\/11*a**3 + q*a**5 + 0 + 8\/11*a**4.\nAnswer: 2*a**3*(a + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 430644397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 71249 + -1?\nAnswer: 71248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*g + 55551 - 42726 = 0 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i + 16. Suppose 16*g = 17*g - 3*d - 3, 0 = -4*g + 2*d + 62. Let l(o) = g*o**2 - 52*o**2 + 18*o**2 + 13*o**2. Give l(s(b)).\nAnswer: -27*b**2 - 288*b - 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15\/16, 0, -0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = h + 11963, 8*d + 2*h = 27722 + 4170. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6341.42139 and 26.\nAnswer: -6315.42139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3740482 divided by 1870241\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from {o: 1, a: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242)*2 + -4.\nAnswer: -4 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 15*g. Let n(c) = 4*c + 33*c - 12*c + 8*c. Determine n(b(l)).\nAnswer: 495*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 39.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1221091 is divided by 395.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o**2 + 4*o**2 - 4 - 6*o**2 + 2 in the form f + a*o + g*o**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 9*n - 1\/2*n**2 + 1 + 7\/6*n**3. Calculate u(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2335\/7 + -333. Let f be 104\/(-20) - -3 - -2. What is the third smallest value in 3, j, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 15\/343?\nAnswer: 15\/343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)*y*y**(-4\/7)*y**(2\/15)*y**2)\/(((y*y**5)\/y*((y*y*y**(2\/9))\/y*y)\/y)\/(y**(2\/5))**(-23)) assuming y is positive.\nAnswer: y**(-7787\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 284941 to the power of 1\/2, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1173110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 20 = -4*n, -3*z + 24 = n + 5. Suppose 5*j + d - 4 - 8 = 0, -2 = 3*j - 4*d. Suppose 2 = -j*m, 3*w - 12 = -m + 17. Solve w = z*c - c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5*(-5)\/7. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7169 less than -726327329?\nAnswer: -726327330.7169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 309629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.4 - -272.4. Let d = t - 260.121. Round d to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*i + 106, -4*i - 2*w + w = 68. Let r(h) = -3*h - 38. Let v be r(i). What is the greatest common divisor of 64 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2808 and 107\/318988800.\nAnswer: 318988800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2990470 to the power of 1\/2, to the nearest integer?\nAnswer: 1729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2. Let r be q(-1). Suppose -a + 0*a = 0. What is the least common multiple of 7 and -3 - (a + r + -7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 893406582?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -257 + 261. Solve 4*m = -4*c + 4, -f*c + 12 - 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5825 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29500.0043854 + -29500. What is w rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -7c9715?\nAnswer: -7c9719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3644 times 142\nAnswer: 517448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 36*f + 604. Give p(-6).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56309050 and 8044150.\nAnswer: 56309050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 3:09 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*f - 1985, f = -3*o + 5*f + 1512. Let l = 1995\/4 - o. What is the closest to 1 in -8\/3, l, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - 28 - -14 - -34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 747*q**2 - 770*q**2 - q + 17 - 2.\nAnswer: -1517*q**2 - q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220086 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -418677308, -418677310, -418677312, -418677314, -418677316?\nAnswer: -418677318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -54ab3?\nAnswer: -54ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 963*f - 784*f - 1381 + 307 = 0. Suppose -5*c + 3*u = 4*u - 61, -2*c + 42 = -4*u. Solve c*h = 10*h - f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.63418 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -104 - 126 - 2*i**2 + 17*i + 212. Let n be p(6). Solve -o = -5*o + n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35430?\nAnswer: 2, 3, 5, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(0*q - 2*q + 0*q) + q + 0*q + 2*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66474115\/3612 - 128824\/7. Let p = z + -1\/129. Let q = 0.5 + -1. Which is the closest to -1? (a) p (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18502*f**4 + 5*f**2 - f + 661?\nAnswer: -444048*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12868 is divided by 182.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g - 5 - 5*g + 5 + 14*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 5) in base 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 140*x**4 + 10551 with respect to x.\nAnswer: 560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237766042?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 14, o: 1}. Give prob of picking 2 d.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 11:01 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 17*r - 35. What is the remainder when m(4) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4 - 183*w**3 + 11505*w**2 - 268037*w + 1232274 = 0. What is w?\nAnswer: 6, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 12*j**2 + j - 15. What is the units digit of k(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 3:24 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyv. What is prob of sequence vy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 827, 3197, 7121, 12599?\n\"Answer: 777*y**2 + 39*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10}. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*m - 17. Suppose -y + 0*y = -m. Solve -u + 4*q = -q + y, -q = -2*u - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b (base 12) to base 16.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1621*d - 1528*d - 1528*d - 6*d**2 + 4677*d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a - 4*a**2 + 4*a**2 - a**2.\nAnswer: -a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-30)\/(-2)) + 221\/455?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + 1 + -4.\nAnswer: -3 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (11 + (-3 - -6 - -2) - 6 - 18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 8:41 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2 + 133518*d - 801216 = 0. Calculate d.\nAnswer: -44512, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (24 - (14 + -24 - -8))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 810, 1792, 2960, 4314?\n\"Answer: 93*u**2 + 703*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8*f - 6. Let a be t(1). Let z be a\/(-11) - 664\/(-22). Let w = z + -15. What is the remainder when w is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2807 and 3829.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/11 or 148784\/3?\nAnswer: 148784\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19204, 19202, 19200, 19198, 19196, 19194?\nAnswer: 19192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -42544.7187.\nAnswer: -42544.2187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2012.3999974391 - -2012.4. Round o to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -4*h, -16*h + 21*h = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkkk when four letters picked without replacement from qqqqqqqqkkqk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.939 + 0.061. Let d be (1 + 33\/(-42))*-2. Which is the closest to 2? (a) 3\/7 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-2))\/(-5)*10. Suppose 0 = l*n + 714375 - 2814375. What is n rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = 15*k - 12*k, 2 = -2*k. Which is the fourth smallest value? (a) 1\/4 (b) l (c) -22 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1786321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 41*i + 164. Let p be t(-20). Calculate the highest common divisor of 312 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 3:45 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b**3 - 5*b**3 + 0*b**3)*(1 - 1 - 2) - 138*b**3 - 652 + 652 + (4*b + 0*b - 3*b)*(2*b**2 - 5*b**2 + b**2) to l + v*b**3 + n*b + s*b**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 616611229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**7\/280 - b**6\/160 - b**5\/10 + 3*b**4\/8 + 123*b**2\/2 - 4*b + 13. Let a(y) be the first derivative of t(y). Solve a(k) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - -4.9. Let z = -254 + 1267\/5. What is the nearest to -3 in -3, g, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in seconds?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p + 3. Let z(a) = -7*a - 1. Let b be z(-1). Suppose 4*o = b*o - 74. Calculate the remainder when o is divided by l(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y = -200. Suppose r = -4*i + 55, -i + 39 = -4*r + 38. What is the remainder when y is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 i, and 1 j when three letters picked without replacement from {j: 1, i: 2, t: 8, o: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 218568877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*v**3 - 1712*v**2\/3 + 83402*v\/9 + 99458\/3.\nAnswer: 2*(v + 3)*(6*v - 223)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3146 - 0.1146. Which is the closest to -0.1? (a) 22 (b) 0 (c) z (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163039624 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**7\/2520 - i**5\/120 - 7*i**4\/12 - 7*i. Let a(z) be the third derivative of u(z). Factor a(h).\nAnswer: (h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -4\/3 (c) -532\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 3. Determine l(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1381935 and 758028.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 - 24*h**2 + 15*h - 9. Let r be j(12). Let l = r - 339\/2. What is the smallest value in -2, l, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and 24.303.\nAnswer: 24.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18) + 40\/18. Suppose -k*l = -1 - 7. Suppose -l*g = -0*g - 3*w + 4, 0 = w - 4. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1732573237 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q. Let h(u) be the third derivative of 5*u**4\/8 - u**2. What is h(o(z))?\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335 + 9*t**2 + 84 + 82 + 79 + 90.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 203414?\nAnswer: -203343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 10:23 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11804, -47163, -106078, -188549?\n\"Answer: -11778*k**2 - 25*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2317*i - 2962*i = -18705 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 4*d + 0*d)*((-1 + 1 + 1)*(0 + 0 - 3) - 1 + 0 + 0 - 1 + 7 + 4) + (0 + 0 - 1)*(2*d - 2 + 2) to l + w*d and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o. Let n(r) be the third derivative of -r**5\/20 - r**4\/6 + 6*r**2 + 111*r. What is n(t(a))?\nAnswer: -192*a**2 + 32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 287*0.2\nAnswer: 57.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17264 (base 13) in base 5?\nAnswer: -2404420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0*k**5 + 0*k + 1\/6*k**3 - 4*k**2 + 0 + 7\/30*k**6 - 1\/12*k**4. What is the tens digit of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*i - 270, 3*j - 192 = 2*i - 0*i. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55127449*p**3 + p**2 + 1029*p + 10.\nAnswer: 330764694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 v when three letters picked without replacement from vfcvggcgfcgcvgc?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 238*x**2 + 6*x - 13. Let i(u) = -474*u**2 - 11*u + 24. Calculate -6*i(n) - 11*l(n).\nAnswer: 226*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2540708 in descending order.\nAnswer: 2540708, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**4 + 480*n**3 + 8484*n**2 + 29920*n = 0. What is n?\nAnswer: -11, -5, 0, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -2*r**7\/63 + 23*r**6\/90 + 16*r**5\/9 + 14*r**4\/9 + 3930*r**2. Let o(c) = 0. Calculate c.\nAnswer: -2, -2\/5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 44, -0.1, -417?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53306 is divided by 846.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000111 + 0?\nAnswer: 11000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23372 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 577170667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**2 + 2*i + 3. Calculate l(4).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*v - 3960 = -60*v + 29*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 32 = -r, 3*r = 5*l + r - 41. Let a(f) = -2*f**2 - f. Let y(t) = 3*t**2 + 2*t. Determine l*a(u) + 4*y(u).\nAnswer: -2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 315 = 3*b, -4*b - n + 306 = -b. List the prime factors of b.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/7)*((q\/((q**0*q)\/q))\/q)\/q)**(-2\/37) assuming q is positive.\nAnswer: q**(8\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - u = -9, -171 = -y - 1400*u + 2790*u - 1409*u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/12 - 127\/(-60) and -127\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + k**2 + k + 1. Let m be g(2). Let x(y) be the second derivative of -y**4\/6 - y**3 - y**2 - 78*y - 33. Let c(u) = u. Determine m*x(w) - 4*c(w).\nAnswer: 2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.09 (b) -1 (c) -0.4 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afaup. What is prob of picking 2 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*i - 4*w, -2*i - 404*w - 18 = -398*w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 5*k**2 + 83*k + 3. Calculate a(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1712897 and -74.519343?\nAnswer: 1712822.480657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/(-39))\/29*-6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 4. Let y be 3*h\/(-9) + 0. Suppose 0 = -5*u - 5*w + 100, y*u - u = 3*w + 40. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113 by -1.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 = 8237*z - 8217*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 5*f + 2*a, 5*f - 20 - 43 = 3*a. Calculate the remainder when 3\/f + 1407\/15 is divided by (-2)\/(-5) + 474\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 407682 + -261382. What is x rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - o - 4 = -12, -3*d - 2*o = -14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 1 - ((-42 - -9) + 50)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4 - 16*v**3 + 20*v**2 - 8*v = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14b94 (base 14) to base 6.\nAnswer: -1035130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 + 2*s**4 - 3*s**2 - 2*s**3 + ((-17 - 7*s**2 + 17)*(1 - 1 - 2*s**2) - 7 - 4*s**4 + 7)*(5 - 5 - 1).\nAnswer: -8*s**4 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -71, -91, -109, -125, -139?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24620*x**2 + 11*x + 5*x - 15*x.\nAnswer: 24620*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/sqrt(252) + -5)*5.\nAnswer: -25 + 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.64 - -2.64. Sort 1\/2, r, 8.\nAnswer: r, 1\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61261888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l + 583 + 585 - 1168.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22.232143 from -0.9.\nAnswer: -23.132143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 499191 or 499192?\nAnswer: 499191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14624044 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*n + 7 = 0, 2*n = -4*j - 314 + 324 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/11600 and -49\/232?\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 3, -2, 2\/5, -1\/32 in increasing order.\nAnswer: -2, -1.2, -1\/32, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (2 - -2)\/4. Solve -3 = l*n - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**3 - 418570*x**2 + 24289675*x - 352261260 = 0.\nAnswer: -83772, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7452*l**2 - 33861*l?\nAnswer: -14904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - 6*s**2 + 8*s - 6. Let h(z) = -z**2 + z - 1. Suppose -2*r = -5*r + 36. Let l(t) = r*h(t) - 2*i(t). Find the second derivative of l(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954616 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, k: 1, w: 4, n: 8, l: 3}. Give prob of sequence jl.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/25544 and 19\/2728.\nAnswer: 280984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 1946392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -0.3, -0.1, -3, -65?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17855\/561 - 30\/187. Which is smaller: 32 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.67493 and -0.025518.\nAnswer: 0.649412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/3)\/(-4) - 735\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**6\/80 - 3*a**5\/160 - a**4\/32 + a**3\/16 + a. Factor k(o).\nAnswer: 3*o*(o - 1)**2*(o + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/3 - 202*g**4\/3 - 4921*g**3 - 467662*g**2\/3 - 5569588*g\/3 - 1705496 = 0. Calculate g.\nAnswer: -78, -46, -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 2*j + 3*j + (-4 + 4 - 2)*(-3*j + 4*j - 2*j) in the form v + l*j and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 12, h: 2, j: 1, a: 2}. What is prob of picking 1 y and 1 h?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 244103.\nAnswer: -9\/244103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 3*p - 12. Let v be 6\/p*(-14)\/(-63). Suppose -o - 2*h + 2 = 3, 6 = 3*o - 3*h. What is the nearest to v in o, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 18 + 44 = 0. Solve -4*r - 2*u - 31 = 3*u, -5*r - 2*u = s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y + 20*y - 4*y)*(72*y + 29*y - 2*y) as g*y**2 + p + h*y and give g.\nAnswer: 1881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 6*c - q - 139 = -13*c + 7*c, 0 = 3*q - 15 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20831 divided by -2.\nAnswer: -20831\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360 take away -0.4422?\nAnswer: 1360.4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 5:45 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y + 2. Let z(r) be the first derivative of -5*r**2\/2 + 2*r + 1. Let i be (-4)\/26 + 15\/13. Let k = 5 - i. What is k*z(u) - 3*t(u)?\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 + 66388552.\nAnswer: 66388522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 3 (c) 7 (d) 8.8 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3566 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 - -11 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 22 = 41*t - 42*t, 0 = 2*t - 3*o + 2. Solve -5*w = -4*l + 7*l - t, 0 = -3*l + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5906 + 5901. Which is the fifth smallest value? (a) z (b) -2\/5 (c) 0.4 (d) -6 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 867088 and 4672.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 8*m + 10. Let w be -2*(0 + 7\/2). Let r = -12 - w. Which is the biggest value? (a) r (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 1411*j**3\/3 - 151*j**2 - 388. Find the second derivative of m(f) wrt f.\nAnswer: 2822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 12:38 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -223192 (base 12) in base 8?\nAnswer: -2047476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2414*p - 2418*p + 5*z, -6*p - 2*z - 30 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10170.0539 to the nearest 10.\nAnswer: -10170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + q = -2*q + 53, -k + 25 = 3*q. Let v = -5 + k. Solve -5*c = -3 + v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37091 - 23568. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 383.604 to the nearest integer.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10792032.\nAnswer: 2, 3, 79, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + n + n + 5)*((2 + 6*n - 4 - 2*n)*(-89 + 140 + 108) - 4*n + 3*n + 2*n + (2*n - 6*n + 3*n)*(-5 + 0 + 4) + 4 - n - 4 + 2*n - n + n).\nAnswer: 1278*n**2 + 642*n - 636","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -475422, -475437, -475452?\n\"Answer: -15*b - 475407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*(-616239)\/(-5267).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -119.51 to the nearest integer.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.024 + -2.976. What is the smallest value in 2, c, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 510 and 3468.\nAnswer: 17340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 301 and 15437.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16141768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3790649 to the nearest integer?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 38. Give t(-17).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 33. Let s be g(28). Let c be ((-9)\/s)\/((-10)\/((-600)\/18)). Solve 2*z - 2 + c = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 8143.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23762*0.5.\nAnswer: -0.11881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 + -75. Let x(g) be the third derivative of -g**2 + 0*g**3 + 1\/6*g**4 - 1\/20*g**5 + 0 + d*g. Find the second derivative of x(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 14) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*d + 294, -55*n + 56*n = -d + 62. Sort d, -3, -5, -2\/5 in decreasing order.\nAnswer: d, -2\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03757213 to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-239 + 35 + 35 - 166)*((-4 + 1 + 1)*(-5 - 2*w + 5) - 2*w - 2*w + 8*w).\nAnswer: -2680*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**13*r)\/r)\/r)**(-45) assuming r is positive.\nAnswer: r**(-540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**4\/24 - s**3\/2 - 14*s**2. Give x(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 96?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/7 in 4, 2\/23, 42.8, -1\/6, 4.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 11 - 20*t + 3*t + 3*t - 4*t - t + 1 - 1 + (-2 + 3 + 0)*(-3*t + 2*t - t) - 38*t - 2*t + 7*t as p + z*t and give z.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/7 + 330\/3465 + 32\/(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 10 + 499305*n - 499302*n + 30*n**3 in the form p*n**2 + b*n**3 + q*n + a and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, -16, -79, -212, -439, -784?\n\"Answer: -4*h**3 + h**2 + 8*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 258 + -251. Let m(u) = 1 + 321*u**2 + 2*u**3 - 321*u**2 - f*u + 2. Let z(l) = 5*l**3 - 15*l + 7. Calculate -7*m(g) + 3*z(g).\nAnswer: g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 54. Solve 0 = 2*l + y - 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7897*k**2 + 9689*k**2 + 12206*k**2.\nAnswer: 29792*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 557*s**8\/112 - 67*s**5\/10 + s**4\/24 + 1783*s**2. Find the third derivative of j(u) wrt u.\nAnswer: 100260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1497993344 and -21.72.\nAnswer: -1497993365.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4295938211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13603.09 + 13535. Let g = 69 + w. What is g rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y. Let s(z) = -z**3 - z**2 - 7*z + 1. Let q(f) = -5*n(f) + s(f). Let l = -34 - -39. What is the remainder when q(-2) is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -243 - -250. Let c(i) = -7*i + 6. Let y(q) = q + q - 7 + 6*q. Determine p*c(t) + 6*y(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -891? (a) -0.5 (b) -8 (c) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llizlzzzzlz. What is prob of picking 2 z, 1 i, and 1 l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x - x - 3*x)*(5 - 2 - 2)*(-5*x + x + 2*x)*(3*x**3 - 5*x**3 + 3*x**3 - 2*x + 1).\nAnswer: -10*x**5 + 20*x**3 - 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + -5*-5*sqrt(384))\/(sqrt(8) + sqrt(32)\/(sqrt(8)\/sqrt(2))).\nAnswer: 52*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -604278.8 rounded to the nearest 100?\nAnswer: -604300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/(-6))\/(81\/(-18))*(-21)\/(-14). Let l(u) = -29*u**2 + u - 3. Give l(v).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2028 - -2028. Let h(v) = v**2 + 3*v - 1. Let f be h(-4). Sort x, 5, -1, f in decreasing order.\nAnswer: 5, f, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 + -1)\/(10\/25*-5). Let m(r) = 5*r**2 + 7*r + 7. What is the units digit of m(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1537, 1529, 1517, 1501, 1481, 1457, 1429?\n\"Answer: -2*w**2 - 2*w + 1541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (sqrt(98) + -2 - sqrt(98))*6 + 0)**2.\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7))**(-25\/4)\/((c**(-1\/3)*c*c)\/(c**(-2\/7)*c)))\/((c**(-2\/7))**32*c**(-2)\/(c*c**(-5))) assuming c is positive.\nAnswer: c**(335\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 72847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 811*i**4 - 13*i**3 - 2*i**2 + 78871.\nAnswer: 3244*i**3 - 39*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - -44. Suppose -3*y + o = -60. What is the greatest common divisor of 92 and y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 21460?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 + 3\/(-3). Let i = -24 - -27. Suppose i*v - 35 = -4*v. Which is the closest to v? (a) 0.3 (b) -0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2. Let y(x) = x + 7. Let h(m) = 3*m + 19. Let s(u) = -2*h(u) + 7*y(u). Determine 11*d(a) - 2*s(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54701.\nAnswer: 19, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 21751182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 949458, 949426, 949394, 949362?\n\"Answer: -32*h + 949490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from bekeeke.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (16 - 3 - (-14 + 16 + 6) - 60)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1) - (1 + -2). Let p(d) be the third derivative of 1\/4*d**4 - 27*d**2 + 0*d**3 - 1\/30*d**5 + 0*d + 3. What is p(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 (base 15) in base 2?\nAnswer: -101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, -2 in decreasing order.\nAnswer: 10, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-13)*j**(2\/11)*j*j*(j**(3\/5))**(8\/7))**(-1\/5) assuming j is positive.\nAnswer: j**(3516\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 780, 1\/2, -4, -8, -2\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1502*w**2. Let c(x) = -4*x + 459. Let o(r) = r - 108. Let k(h) = -4*c(h) - 17*o(h). Determine d(k(z)).\nAnswer: 1502*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3649972, 3649960, 3649952, 3649948, 3649948, 3649952?\nAnswer: 3649960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m - 3. Let u be b(-6). Let x(l) = 6*l**2 - 6*l - 12. Let a be x(-5). What is the highest common divisor of u and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 - -42. Suppose 0 = -234*v + 229*v + b. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4878.232 meters?\nAnswer: 4878232000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 4074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.029 - -36.029. Let v = -36.25 + s. Let m = v + -0.15. What is the second smallest value in 0.15, -1\/7, m?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105.00111 - -105. Round p to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, c: 2, x: 2, g: 12, w: 2}. What is prob of sequence cxc?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 - -0.3. Let t = -9 + 5. Let v = -7 - t. What is the second biggest value in -1\/2, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5 - (-143)\/(-260)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - l + 231. Let b(g) = 3*g**2 - 2*g + 230. Calculate 3*b(n) - 4*j(n).\nAnswer: n**2 - 2*n - 234","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -1, 4\/5, 83 in decreasing order.\nAnswer: 83, 42, 4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 194.0868 to 1 dp.\nAnswer: 194.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-43)*z**(-3\/17)*(z\/(z\/z**14))**(5\/12) assuming z is positive.\nAnswer: z**(-3707\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22264733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/5))\/p**(-29))\/(p*p**(1\/17)*p)**17 assuming p is positive.\nAnswer: p**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*j - j + 30, 0 = 4*p - j - 78. What is the remainder when ((-12)\/10)\/((-2)\/p) is divided by 4 - (-6 + (2 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -212*p - 1279. Determine n(-5).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142 + 285 + 68 + g)*(45*g**2 - 77*g + 77*g).\nAnswer: 45*g**3 + 9495*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -2*g + 10, 0 = 5*h - 2*g - 177 + 187 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 302 - 174. Suppose -8*l = -4*l - y. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -421, 7 in increasing order.\nAnswer: -421, -4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 604804948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 > 353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5659501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-3*b + b + 4*b)*(1011*b + 32 - 2017*b + 1010*b).\nAnswer: -8*b**2 - 64*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12360895 divided by -2472179?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/14)\/(6\/(-8)). Suppose 0 = s + 5*j - 6, -3*s = j + k - 48. Let r = -65 + 112. Calculate the remainder when r is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 3*p = 2, -u + 3*p - 6 = 8*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14461601 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15, -28, -41, -48, -43, -20?\n\"Answer: o**3 - 6*o**2 - 2*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -27*l**3 - 978*l**2 - 1278*l - 420. Let b(k) = -54*k**3 - 1955*k**2 - 2558*k - 840. Let s(w) = 3*b(w) - 7*z(w). Factor s(m).\nAnswer: 3*(m + 35)*(3*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and -3.5.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jye when three letters picked without replacement from {j: 3, y: 6, e: 4}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/1)\/(-2 - -3) + 96. Let u = m + -80. What is the highest common divisor of u and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 15*q + 95 = 0. Let u(s) = s**2 - 18*s - 15. Let p be u(q). Solve 4*h - p*r = -3 + 15, 0 = -5*h + 2*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(((s**5*s)\/s)\/s))\/s)*s**(1\/5)*s*s*s)\/(s**5\/s**0)*(s**(-5)*s**(-3\/4)\/s)**(-1\/16) assuming s is positive.\nAnswer: s**(1159\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -13, 2\/11, 7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r + 5. Let v(d) = -38855 - 371*d + 38861 + 380*d. Determine 5*k(c) - 4*v(c).\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o**3 - 2*o**3 - o**3)*(0 + o + 0) + (3*o**2 + 3*o**3 - 3*o**2)*(-o + 2*o - 1 + 0*o).\nAnswer: 8*o**4 - 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -5*r - 13. Let p = r - 15. Suppose -15*h + p = -13*h. Solve 4*q + 5*v - 3 = 3, -3*q - 5*v + h = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3254523 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 62*r - 1468. Is 61 a factor of d(63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -165153, -332014, -498885, -665772, -832681?\nAnswer: -999618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - m**2 + 3*m**3 + m**2.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - g = 71473, -3*m = 3*g - 55926 + 2340. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 23 = 4*b + g, -10 = 4*b + 2*g. Let o = -44\/9 - b. Sort 0.4, o, 2 in increasing order.\nAnswer: o, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*l + 130, -4*l = 22 - 38. Does 9 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 + (-6058)\/(-15170). Let s = l - -13675\/33374. What is the common denominator of 113\/18 and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by 1791395.\nAnswer: -41\/1791395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 18 = -3*v, 4*r = 5*v + 6 - 0. Suppose r*f - u = 274, 6 = -2*u + 5*u. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212101 (base 3) in base 5?\nAnswer: 31324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -665.92, 4\/7, -5, 2\/1047 in ascending order.\nAnswer: -665.92, -5, 2\/1047, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1031\/414699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 769089, 1538172, 2307255, 3076338, 3845421, 4614504?\n\"Answer: 769083*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 25 = -0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/((-10)\/(-200)). Suppose -3*c + 1 - 2 = -2*k, k = 3*c - 1. Calculate the highest common factor of k and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 6303.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -13, 4, -14.4, 0.04, 22 in ascending order.\nAnswer: -14.4, -13, 0.04, 1\/3, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22842, -45727, -68612, -91497, -114382?\nAnswer: -137267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-294))\/(78\/(-728))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c + 107. Let t be u(-26). Solve 0 = r + 3*n + 3, -3*r + 4*n = t*n + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.426011443 rounded to 2 decimal places?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -17*r**6\/3 - 5*r**2\/2 + 37. Find the second derivative of g(j) wrt j.\nAnswer: -680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 w when four letters picked without replacement from oxooonxwqowoxoxooow?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1776998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/340 and -37\/100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -734\/7 - -2195\/21. Let i = -6 + 10. Sort n, i, -4.\nAnswer: -4, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77)*-2)\/(sqrt(99)\/sqrt(324)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 3. Let h = -6 + f. Suppose -4*m = v, -2*v - 9 = 3*m - 4. Which is the second biggest value? (a) v (b) -0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -2, 10, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z**2 - 3*z - 17. Calculate l(-4).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)*v*v**10*v*(((v**(-1)*v*v)\/v)\/v)\/(v*v\/(v\/(v\/(v\/(v*v**(-8)*v))))*v) assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 12 - 38. Suppose -3*f - 4*b + 105 = -o, 174 = 4*f + 5*b. Suppose 0 = 5*y - 196 + f. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.8 - 9.2. Let a = 11.60000071 - x. Round a to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 152235 + 4?\nAnswer: 152243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 765.5211mm to meters.\nAnswer: 0.7655211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(153)\/(-2*sqrt(9)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -543\/23023 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10340 - -10424. Solve 20*l + f = 34*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8301053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 x, and 1 f when three letters picked without replacement from fffffyfffxflf?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14338118 and 6102.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*y + 19*y - 84*y + 129*y + 129*y - 31*y.\nAnswer: 344*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758410*p + 1804 = -758246*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -102946.6031 and -0.2.\nAnswer: 20589.32062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1419827 rounded to 3 dps?\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 9:42 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2131 - 101?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((36\/10)\/(-6)). Which is bigger: 6 or f?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132436664 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 45*z. Let p(k) = -1984484*k. Determine p(j(x)).\nAnswer: -89301780*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39089 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/4, 4, 5155, -5, -0.009, -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = 56388 + 40053. What are the prime factors of b?\nAnswer: 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/9)\/i)\/i)\/(i\/i**(-6))*i\/i**(-6\/13)*i*i**11 assuming i is positive.\nAnswer: i**(496\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * -2749.2.\nAnswer: -329.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/4)\/((-45)\/(-120)). What is the remainder when 43 is divided by ((-69)\/(-6))\/(u\/8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 4434.\nAnswer: 62076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 698 a factor of 862823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 9:07 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19256 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40437 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 12:02 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 3:35 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -11110*a - 430. Let r be u(36). What is r rounded to the nearest 1000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6657 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w - 7*w + 1560 = 0. Suppose -5*j = -11 + 1, -5*q + 3*j = -174. Calculate the smallest common multiple of q and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.6 (b) -1 (c) 6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 27, 37, 27, -9, -77, -183?\n\"Answer: -a**3 - a**2 + 34*a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 53.25.\nAnswer: 15.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r. Let h be (-15)\/(-40) - -7*(-27)\/(-72). Let l(j) = 13*j + 1. Determine h*z(d) - l(d).\nAnswer: -10*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -22. Let z = u - -20. Let d = z + -6.032. What is d rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -d + 3*d. Let w(h) be the second derivative of d*h**2 + 0 - 1\/3*h**3 - h. Let b(k) = 2*k**2. Determine w(b(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-21)\/27 - (-11350)\/45. Suppose 5*w = 11*w - o. Let g(u) = -42*u + u**2 + w*u. Let v(d) = 20*d. What is g(v(n))?\nAnswer: 400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 43 - (-31)\/(-589)*589. Suppose 10*f = 5*f. Solve 2*h - 3*r = -k, 3*r = -f*h - 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3200670 divided by -106?\nAnswer: -30195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 + -33. Let g = x - 47. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -22. Solve o*i + 3 = 5*b - 3, 9 = -3*i + 3*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7703854 by -202733.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 530. Let s be y(0). Suppose 0 = 5*m - 5*u - s, -3*m - 21 = 4*u - 367. What is the highest common factor of m and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 + 5379?\nAnswer: 5376.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 99 = y - 3*t, -t = 3*y - 297. Let v = 99 - y. Solve -z + 4*z - 6 = v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 10 = -5*d, 2*c - 4 - 16 = -5*d. What is the hundreds digit of d*(839\/10 - 6\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 + 590*i - 3*i**2 + 1652*i.\nAnswer: -8*i**2 + 2242*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-3 - (-66)\/14). Let a = 336 - 399. Let o be (a\/(-4))\/9 - (-4)\/(-16). What is the second smallest value in -0.1, t, o, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-8\/7))\/z**(-6)*(z**(-3)*z)**(-4\/15) assuming z is positive.\nAnswer: z**(911\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -222 - -66. Let c = 121 - s. Calculate the remainder when c is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 143*d + 204*d - 11*d as l + a*d and give a.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x**2 - 1182811*x + 86923481?\nAnswer: -2*x - 1182811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 2 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - (-2 - 2))\/(4\/65132). Let p = t + 89308. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*y = -1095, -3*y = 2*f + 2*f - 1431. Find the second derivative of -17*h - f*h**2 - 5*h**5 + 360*h**2 wrt h.\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -64 and 1.58189705.\nAnswer: -62.41810295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2224075 and 2032366?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from uedta.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2582528 and 5941832.\nAnswer: 10088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*2\/((-6)\/15). Suppose 21 = x*j + 6. Let p be (j - 2)\/(-8 - -7). Let y(h) = 5*h**2 + 1. What is y(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from menjmjjmtjm. Give prob of picking 1 m and 1 e.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 47, 48, 49, 50?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) -0.5 (c) -0.2 (d) -2533\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - o - 1. Suppose 2 = 4*f - 22. Let q(n) = -2*n**4 + 3*n**2 + 4*n + 3. Let v(b) = f*c(b) + 2*q(b). What is the second derivative of v(t) wrt t?\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177119608.\nAnswer: 2, 73, 303287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g - 62. Let s be d(7). Let t be (2\/s)\/(((-8)\/(-3))\/8). Let p be (1\/5)\/((-4)\/(-10)). Which is the closest to t? (a) -1 (b) 1\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - (-6 + 12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 3*i**2 + 16*i + 1. Calculate m(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4349, -3081, -1813, -545, 723?\n\"Answer: 1268*k - 5617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -152243 - 1.4\nAnswer: -152244.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z + 37. Suppose -24 = 77*j - 73 - 182. What is q(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**5\/4 - 2070*y**4 - 2759919*y**3\/4 - 128289525*y**2\/2 - 480568032*y - 939585480 = 0.\nAnswer: -2390, -181, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*y + 16 = 0, 7*y = -3*o + 4*y + 18. Suppose -o = v - 18. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 67, -0.2, 2\/7, -3, 1, -3\/71?\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, -3660, 3 in descending order.\nAnswer: 163, 3, -3660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -5, 0.4, 4, -772 in increasing order.\nAnswer: -772, -5, 0.4, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 738 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*v - 1 = -2, -3*n - 9 = -5*v. List the prime factors of 11 - (2\/(-1))\/n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -951 - -1486. Suppose 5*t + 5*g - b = 0, t - g = 3*g + 97. What is the tens digit of t + 4*(-3)\/6*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1281 and 3011862?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-6\/17))\/((m**18*m)\/m*m) assuming m is positive.\nAnswer: m**(-312\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*z - 6 = 6, -z + 18 = 3*j. Let t = 393 - 391. Suppose 0*f + 4*f = t*k - 28, f + 11 = k. Calculate the smallest common multiple of j and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(162) + sqrt(162) + ((sqrt(162) - (-1 + sqrt(162))) + 0)**2 + sqrt(162).\nAnswer: -1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2170 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 5*k + 2. Let f be i(-3). Let s be 4 - (-16 - (1 + -4)). Suppose s + 18 = f*n. What is the remainder when 17 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-80)\/24)\/(2\/(-3)). Suppose 0 = -g*o + 25, q + 0*q - 4*o = -20. Let n = 21 + -17. Solve 4*w - 3*w - n = q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3*r - 2*r)*(101 - 34 + 43)*(-2*r - 1 + 1).\nAnswer: 220*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285, -283, -281?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87328.74nm to kilometers.\nAnswer: 0.00000008732874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -5.3 and -6\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 2.1031082183.\nAnswer: -2.8968917817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11331 (base 4) to base 14.\nAnswer: -1d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137462 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 times 0.1?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 2*r**2 + (-3*r + r + 4*r)*(-3*r + 2*r - 2*r) - 7*r**2 + 0*r**2 + 3*r**2 to the form q + h*r + p*r**2 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1\/6)\/d))**(15\/8)\/((d*(d\/(d*(d**(-1\/2)\/d)\/d*d))\/d)\/(((d*d*d**(-5\/3)*d)\/d)\/d)) assuming d is positive.\nAnswer: d**(91\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-19))**(-1\/16)\/(p**(10\/3)*(p**(-1\/5)\/p)\/p) assuming p is positive.\nAnswer: p**(13\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 14 = 2*t, -5*t + 4*m - 6 = -t + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 4*z**3\/3 + 7*z**2 - 7*z - 20. Let r(h) be the first derivative of b(h). Find the first derivative of r(x) wrt x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 56. Let q(w) = -7*w - 17. Let y(n) = -6*n - 18. Let r(f) = -3*q(f) + 4*y(f). Let i be r(c). Solve -5*t - 11 - 4 = i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296015 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*h**2 - 1 + (4 - 6 + 4)*(0*h**2 + h**2 + h**2) + 4*h - 4*h - 2*h**2 - 10*h + 11*h**2 + 10*h in the form u*h**2 + y + n*h and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 3. Let c be 1*9 - (0 + 3). Let m be l(c). Let s(f) = f**2 - 6*f - 5. What is the tens digit of s(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*x + 80 = -o, 2*o - 49 = -5*x. Suppose -o + 9 = -4*p. Suppose -2*n + 64 = 4*z, -p*z - 5*n = -4*z + 20. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14427.86 + -14428. Which is the fourth biggest value? (a) -5 (b) 4 (c) 0.007 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m - 16 + 29 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -298\/263 + 2612\/1841. Let g(a) = a**3 + 4*a**2 + 2*a. Let p be g(-3). What is the smallest value in m, 0, -3\/13, p?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 20*v + 32*v = -924 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 740081.1 decades in years?\nAnswer: 7400811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 37*d + 50 = 0. Solve -j + 3*a + 13 = 0, 0 = -j + 4*j - d*a - 27 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20334 - 20330. What is the third smallest value in t, -0.1, -5, -4, -0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-2\/43))*d*d**(-4\/11))**24 assuming d is positive.\nAnswer: d**(6696\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*j = -20, 3*j = r + 5*j + 7. Let u(f) = -f + 7. Let p(s) = -s. Let m(b) = r*u(b) - 4*p(b). Find the first derivative of m(l) wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21448281, 21448283, 21448285?\n\"Answer: 2*q + 21448279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -375 by 6.\nAnswer: -125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69227622 by 4.\nAnswer: -34613811\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, 0.26, -88.\nAnswer: -88, -0.2, 0.26, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c - 337 = 4*p + 139 + 940, 2*c = -2*p - 84 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402 + 864 = -42*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (10 - (-15 + 10)) + -12 + -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*f - 191*f + 84 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/((-5)\/9)*-1. Let h = 14 - i. Suppose 0 = 2*w - 1 - 13. Solve -4*q + h = -w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -258.5 - -257.311. Round b to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/11424 and 149\/162.\nAnswer: 308448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = -2*k, k + 12 = -0*k - 3*a. Suppose 0 = 3*f + 3*d - 3 - 9, -4*f = -4*d - 16. Solve k*c - f*i - 14 = -3, 2*c = -5*i + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-375)\/175)\/(1\/(-7)*2)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from mbdnddt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41165 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142464, -142432, -142396, -142356, -142312, -142264?\nAnswer: -142212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 42 = -90. Suppose -29*j - b + 1437 = 0. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 5*p - 5. Let j be t(-6). Let g(r) = r**3 - 2*r**2 - r + 2. Let w be g(2). Put j, -1, w in descending order.\nAnswer: j, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 23\/205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 22*u**2 - 24*u + 63. Let o be k(21). Solve 0 = 3*v + 4*j + 7, o = -4*v + 5*v - 4*j - 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m - 2*m - 3*m - 5. Let p be s(-4). List the prime factors of 3\/p + (-25)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63.41 in -0.1, -907, 14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -206100, -206101, -206104, -206109, -206116?\n\"Answer: -m**2 + 2*m - 206101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -479*i**5 - 2*i**4 - 5699*i**2 wrt i?\nAnswer: -28740*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59735 and 18109.\nAnswer: 83210855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + s**2 - s - 1. Let q(z) = -3*z**3 + 2*z**2 - 2*z - 1. Let w be (-1)\/(-1) - (-4 - -6). Give w*q(g) + h(g).\nAnswer: 2*g**3 - g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 549?\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-2 - -3) - -7. Suppose -u - 2 = -t. Suppose 2 = u*s - 37. Calculate the remainder when 37 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**7*b)**(-16\/9)*(b*b\/(b\/(b\/(b**(-4)*b))*b*b*b))**(2\/21))**(1\/8) assuming b is positive.\nAnswer: b**(-221\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 40 = -3*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 2:40 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3962668937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * 164.\nAnswer: -6232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 887079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 47, 68, 89?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293778?\nAnswer: 2, 3, 19, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/3 and -3 - 82\/162*-3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 6*h + 4. Let c be z(3). Put 2, c, 4 in descending order.\nAnswer: 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8491835.\nAnswer: 5, 11, 103, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (22 - 14) + -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270 and 2130?\nAnswer: 19170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -3)\/(3\/86). Let y = z - -117. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 34*s + 4*s + 4.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 5.2. Let f = 53.4 - 56.4. Which is the second biggest value? (a) g (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1070 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 12:23 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -59.25, -1.2115, -2?\nAnswer: -1.2115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.8 * -0.49821.\nAnswer: 1.394988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 4*h - 3. Let f be c(-5). Let g(y) = 7*y**2 - y + 2. Let d(k) = 3*k**2 + 1. Let n(a) = f*g(a) - 5*d(a). What is n(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 133 - 533. Let k = f + 65. Solve 3*o = -0*o - k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = 2*l. Solve 3*i - l = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 13. Let i = -4239\/5 - -8359\/10. Calculate the common denominator of i and a(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 98*i - 5. Is h(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 245, 0.1, 0.62, 2\/13, 21 in decreasing order.\nAnswer: 245, 21, 0.62, 2\/13, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((((k*k**(-2\/11))\/k)\/k)\/k)*k**9)\/(((k*k**10*k)\/k*k)\/(k\/k**9)) assuming k is positive.\nAnswer: k**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/9))**14)**(-2\/75)*((m*m**(-2\/7))**33)**(-21) assuming m is positive.\nAnswer: m**(-334181\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/95 + (-62)\/(-10). Solve -b - b - w = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 62 + 605. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -28. Let p be (n\/(-10))\/((-17)\/101915). Is p\/6 - 1\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 + 34*m**2 - 106*m + 37. Calculate z(3).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20366534 is divided by 2655.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -66*i + 74*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010010 (base 2) in base 8?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18, 12, 6, 0?\n\"Answer: -6*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 130.1171823ns?\nAnswer: 0.00000000000021514084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, l: 2}. Give prob of picking 2 z and 1 l.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(48)*-2 - ((sqrt(15) + -4*sqrt(15))\/sqrt(5) - sqrt(3))**2) - ((1*sqrt(147) - sqrt(9)\/sqrt(12))**2 - 4*(1*sqrt(192))**2).\nAnswer: -24*sqrt(3) + 1989\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 18*l - 78. Let q be u(-9). Suppose 4*o + 2*v - 2054 = 4*v, q*o - v = 1543. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-8 - (-1 + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 0, 1\/26, 2 in decreasing order.\nAnswer: 5, 3, 2, 1\/26, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12432 (base 5) in base 12?\nAnswer: 6a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -65 + 0 - (4561 - 4677)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 917 - 914. Solve 0 = s - 2, -s + 5*s = -z + i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24\/17, -2\/13, -1?\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -98, -101, -104?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 2. Let c = -301 - -303. Let m(z) be the first derivative of z + 3 - 1\/2*z**c. Determine -2*l(i) + 3*m(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 + j**2 - 2. Let g be f(2). Let o(y) be the second derivative of y**4\/12 + 3*y**3\/2 + y**2\/2 + 19*y - 6. List the prime factors of o(g).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -46. Solve -5 = -v, b*v - 3*v - 20 = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -44*v - 105. Let f(d) = -41*d - 105. Let m(x) = -2*f(x) + 3*t(x). What is the derivative of m(z) wrt z?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1 - 1 - 2*o + o. Suppose -16 = 5*b - 1. Let v = 0 - b. Give t(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -564 - -564. Let a(f) = -f**2 - 2*f + 3. Let n be a(0). Suppose -n*t = 5 - 14. What is the second smallest value in p, -3, t, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine thirds of a decade in months?\nAnswer: 2360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -1105, 2 in ascending order.\nAnswer: -1105, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -313, 4, -18 in decreasing order.\nAnswer: 4, -18, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 3*v**2 + 4*v)*(24*v**2 + 76*v - 76*v)*(-2 + 1 + 0).\nAnswer: -72*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/1446211 and 64\/39?\nAnswer: 4338633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**4\/12 + 13*s**3\/6 - s**2 + 3*s. Let n be k(7). Let m = n - 28. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20118 - 6039. List the prime factors of o.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2420034910198.\nAnswer: -2420034910203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(4*d**3 + 3961*d + 1 - 2*d**2 - 1979*d - 1980*d).\nAnswer: -12*d**3 + 6*d**2 - 6*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:39 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132544384 * 9.\nAnswer: 1192899456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(((-42)\/(-18))\/((-2 - 2)\/(-32))). Is 0.05 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 11:35 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 40. Let v = 17 - w. Suppose 2*z = 4*z - 2, v*z + 273 = 4*o. Calculate the remainder when o is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 98 = 2*x, -5314*a + 5310*a + 97 = 3*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.14 (b) -0.2 (c) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**4\/5 - 63612*g**3\/5 - 954439*g**2\/5 + 2163318*g\/5 = 0.\nAnswer: -17, 0, 2, 63627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 40 = -5*a - 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 1 - (2 - -2 - 30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-three quarters of a millimeter?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*u**2 - 150*u.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 70. List the prime factors of 352 - q - (-15)\/15.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19195 or -19198?\nAnswer: -19195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 + 1001000000100110?\nAnswer: 1000111111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 3*p**2 + 2*p + 2. Let v be t(-2). What are the prime factors of ((-2)\/v)\/(1\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 0*q**4 + 0*q - 33 + 0*q**3 + 0*q**5 + 25\/6*q**6 - 23\/2*q**2. Find the second derivative of d(u) wrt u.\nAnswer: 500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - 6.94. Let h = -12 - i. Let a = 0.2 + -0.5. What is the nearest to -1\/3 in -0.2, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + 49 - 97 + 43*b**2.\nAnswer: 43*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 25*t + 2*t.\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u + 7*u - 3*u. Let x = 6 + -4. Does 4 divide t(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 87000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d = 15. Let u be (d\/1)\/3*-5. Differentiate -2 - 3*o**3 + u - 1 wrt o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6*d = 258. Let h = d + -37. Let k = h - 25. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 943\/7 - 135. Let j = -0.03 - 0. Let u = j - -0.33. Which is the second biggest value? (a) u (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13 - 14 + 1 - l**2. Let s(k) = 11*k**2. Calculate s(u(v)).\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27920 less than 83764\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 3*o**2 - 5*o + 30. Let i be k(0). Suppose 2251 = i*f - 269. Calculate the highest common factor of f and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7952, 14 in increasing order.\nAnswer: -7952, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (682 + 221 - 585)*(1 - 4*l - 5 - l + 7*l) + (2 + 1 - 5)*(0*l + 0*l + 2*l).\nAnswer: 632*l - 1272","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4\/5*5*9\/36\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-3*d + 5*d + 0*d)*(14*d + 9*d - 6*d).\nAnswer: -68*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3025.7 - 3025.6. Which is the third biggest value? (a) y (b) -16 (c) -123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 201 + 45. Calculate the remainder when b is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 7*p**2 + 6*p - 23. Let g(s) = -2*s**2 + 9*s - 2. Let r be g(3). Is b(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-490)\/(-140))\/(7\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(204)*-4)\/((sqrt(108) - sqrt(108)*4)\/sqrt(9)))**2 + 0)*2.\nAnswer: 544\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -2\/3, 13\/16, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {j: 10, x: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 8:19 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 1 - 1473\/(-2). Let n = 719 - i. Let h = n + 177\/10. Which is the smallest value? (a) -1\/4 (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.9 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192 - 192. Find f such that 1\/2*f**3 + 0*f**2 + i - 1\/2*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + y + 8 + 0 = 0, 3*d - 3 = -3*y. Suppose -d*f + 41 = 2*s, 5*f - 2*s - s = 81. Calculate the highest common factor of 10 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.9 - 6.6. Let k = z - 3.3. What is the closest to -0.1 in -1\/3, k, 2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171.9 - -161.9. Which is greater: q or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 0*t + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31485, 49397, 67309, 85221?\nAnswer: 103133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106564\/22 + (-306)\/(-1683).\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 746, 1\/103, -0.4, 1\/11, 8, 3\/7?\nAnswer: 746","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 656169818 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*s + 3*s = -78, -5*a = 4*s - 381. Suppose -2*h - a = 2*q + q, -2*h + 4*q - 84 = 0. Let r = -8 - h. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16748790973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(96) + -1*sqrt(96)*6)\/(-4*(sqrt(3) + sqrt(3) + (sqrt(48) - sqrt(3)) + sqrt(3) + sqrt(3)))*6 + -3)**2.\nAnswer: -60*sqrt(2)\/7 + 1849\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.181528 rounded to 3 dps?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2126, -2036, -1946?\n\"Answer: 90*f - 2216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33418 by 3038.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5*(380\/(-30))\/19?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*l - 89219 + 89219.\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*x**3 - 164*x + 162*x + 4*x**4 - 4*x**5 + 10*x**4 + 10*x**2.\nAnswer: -2*x*(x - 1)**3*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 8*w + 29 = 12*w, 2*w - 28 = -4*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -136c7 (base 16) in base 8?\nAnswer: -233307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 1078.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -6, -185.\nAnswer: -185, -6, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1517*b + 356. Is i(-34) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 65.51592ug?\nAnswer: 65515.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 17*a**2 + 15*a - 12. Let c be y(-16). Suppose 21 = 5*o + c*n, -2*n + 7 + 6 = 3*o. Suppose -20 = -k - 4*k. Which is greater: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7976 + -7981. Let t = -28 - -25. What is the closest to t in -0.5, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(7) + -1) - sqrt(7)) + (sqrt(7) - (2 + sqrt(7) + 0)))**2 + (5*((sqrt(175) + 2)*-6 + sqrt(175)))**2 + 1.\nAnswer: 15004*sqrt(7) + 113005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*48\/20 + 9\/15. Suppose -5*k = 6*q - q - 2455, d*q = -9. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15022*l**5 + 545*l**3 + 19238*l - 25 wrt l?\nAnswer: 300440*l**3 + 3270*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2. Let m(l) = -3*l + 5. Let n(j) = 8*j - 16. Let f(i) = -16*m(i) - 5*n(i). Calculate f(q(r)).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 4, w: 3, u: 1, k: 2}. Give prob of sequence uo.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -25*d + 740. Give n(32).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 2*b. Give c(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*t = -23, -4*o = 3*t - 8*t - 33. Solve o*v + 0*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112) + (sqrt(2112) - (sqrt(2112) + 3*sqrt(2112))) + 5*sqrt(33)*2)\/(((sqrt(110) - (-2*sqrt(110) - sqrt(110)))*4)\/(-2*sqrt(10)*-1)).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h**2 + 6*h + 4. Let c(d) = -19*d**2 - 13*d - 9. What is 9*b(k) + 4*c(k)?\nAnswer: 5*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 5*l = 60. Let j be (9\/27)\/(1\/l). What is the highest common divisor of j and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8563*b - 341 = 8532*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 740 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -3\/4*h**4 + 0*h + 4 + 0*h**2 - 5\/3*h**3. What is the third derivative of b(a) wrt a?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c + 10 - 6 + 4 + 5*c. Let q(m) = 11*m + 2. Let d be q(-1). Let g be 36\/4*((-24)\/d)\/(-4). What is k(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/3*291\/(-2037).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/5 and -59\/10176770.\nAnswer: 10176770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 12*k**2 + 48*k + 64.\nAnswer: (k + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4793381 divided by -4793381?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8438\/1443 + -149\/37. Let d = 73294843\/7494825 - -18\/192175. Let f = i + d. Find the common denominator of -14\/3 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -4*x**3 + x**2\/2 - x - 3. What is s(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*t)*(2 - 4 + 1) + 2*t - 2*t + 9*t + (-3 + 0 + 2)*(4*t - 6*t + 0*t) - 3*t + 7*t + t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, x: 4, t: 6, e: 1, d: 3}. Give prob of picking 2 x and 2 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 = -4*v, -4*s + 16 = 4*v - 3*s. Suppose -u + 45 = 43. Find the third derivative of 22*a**2 - a**v - 4*a**u - 13*a**5 wrt a.\nAnswer: -840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 41.1. What is the third biggest value in l, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i\/i**(-28\/5)))\/i*i)\/i**(1\/7))\/((i*i**(-1\/39)*i)\/((i**(-4)*i)\/i)) assuming i is positive.\nAnswer: i**(-14629\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 2*a**3\/3 + 608. Let k(f) = 4*f**2 + 7*f. Give b(k(p)).\nAnswer: 32*p**4 + 112*p**3 + 98*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26456 + 268*s + 26456 to the form b*s + x and give b.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 11:00 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in -2, -4\/7, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.8 + -9.961. Let y = -4.161 - r. Suppose -3*g - i - 11 = 0, -2*g - 3*i = -7*i + 26. Which is the fourth biggest value? (a) g (b) -10 (c) 1\/7 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**6\/120 - 7*u**5\/30 + 7*u**4\/12 - 25*u**3\/6 + 3*u**2 - 130. What is k(-15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/7 - 76*f**4\/7 + 446*f**3\/7 - 44*f**2 - 2048*f\/7 + 1984\/7 = 0 for f.\nAnswer: -2, 1, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 1. Let x(f) = 4*f**3 + 123*f**2 - 3*f**3 - 32 - 119*f**2. Let q(n) = -4*t(n) - x(n). Differentiate q(z) with respect to z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -6.9. Which is the closest to 0? (a) 3 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeeaae. Give prob of picking 2 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 32973 + 4306 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79305 less than 0.3?\nAnswer: -79304.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (8 - 8 - (5 - 8))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 2*k)*(34 + 20 + 28)*(-k - 4*k + 3*k).\nAnswer: -164*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 211.195 to 1 dp.\nAnswer: 211.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 + 2916 + -8 + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 11:12 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21670449 is divided by 950.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 861523*a*g**2 - 2*a*g + 56602873*g**2 wrt a?\nAnswer: 861523*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12176225 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 0.1, 0.0704, 0, -204?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-112)\/(-84)*27\/(-96). Let v = -0.3 + 0.8. What is the nearest to -0.1 in t, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 15*o + 9911. Let n = -563 + o. Solve -4 = -18*q + n*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 11*x + 1782. Let b = x + 2576\/13. Which is smaller: 0.1 or b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83898029515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.8*172.\nAnswer: 5985.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -268698075 bigger than -268698073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.2 (c) -1\/6 (d) -0.0708 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4844951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 - 199*b + 156. Let m be y(49). Solve m = -2*h + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26136, 52458, 78792, 105144, 131520?\n\"Answer: z**3 + 26315*z - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/5313 and -53\/966?\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -16*z**2 + 2*z + 34. Let l be j(6). What is l rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 33007793?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - sqrt(320)*2)\/(sqrt(4) + sqrt(4)*1*-4) + 4 + sqrt(5) + 1 + (-4*sqrt(55))\/sqrt(11).\nAnswer: -5*sqrt(5)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -59 - 13. Suppose 3*y + 12 = 0, -2 = 3*q - 8*q - 2*y. Suppose -q*z - 4*z = -b. Calculate the remainder when 41 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3782005 minus 0.02905?\nAnswer: -3782005.02905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(1\/3))\/(f*f*f*f**(3\/7)*f)*(f\/f**0*f)**(-27))\/((f**(4\/13)\/f)\/(f*f**(2\/17)*f))**(-5\/9) assuming f is positive.\nAnswer: f**(-270677\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 346218*o**2 + 284184*o wrt o?\nAnswer: 692436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - 5 - (-6 + -33)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g + 90. What is the units digit of d(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4057 - -0.0057. Put 21, -1\/8, r in ascending order.\nAnswer: r, -1\/8, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0387? (a) 2\/13 (b) -197 (c) -1\/2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqv when three letters picked without replacement from vqvqqqqqqvqvqq?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 - 0.95. Which is the third smallest value? (a) 5\/2 (b) 1\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/48238 and -2\/271.\nAnswer: 48238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*b + 30 - 60 = 128. Factor -1\/9*c**b - 9 + 2*c.\nAnswer: -(c - 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0. Let a be (-76)\/(-21)*6\/20. Let d = a + -9\/7. Sort -2\/11, o, d in decreasing order.\nAnswer: o, -2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 93\/124 + (-1)\/4. Put 4, -1, i, -41 in decreasing order.\nAnswer: 4, i, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*-3*(-1)\/6. Suppose 2*c + h = 4. Let u = 300 + -1795\/6. Is c > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 + 2*n**2 - 13*n - 10. Let q(k) = -k**3 - k**2 + k. Let z(b) = o(b) + 2*q(b). Let v be 0 + 1 + 14 + -9. What are the prime factors of z(v)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - y**2 + 16 + 10 + (0 - 2 + 1)*(3*y**2 - y**2 - y**2).\nAnswer: -2*y**2 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/32 and -99\/194152.\nAnswer: 776608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 11) + 15 + (-10 + 9 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 1\/52 in decreasing order.\nAnswer: 1, 1\/52, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -3. Let r(n) = -n**2 + 7*n - 4. Let i be r(t). Suppose i*h + 4*a = -a - 3, -2*h - a = -17. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180842 is divided by 3262?\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -35*r - 394. Let l be u(-12). Suppose 4*p + 30 = 5*i, -4*i = -3*p - 36 + 12. Suppose 214 = i*w - l. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 1002030301310?\nAnswer: -1002030301320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v**3 + 244*v - 2 - 239*v + 5 to p + n*v**3 + r*v + f*v**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**2 + d**2 - 2*d**2)*(229 - 152 + 1045)*(-d + 0*d - 4 + 2) in the form l + z*d**2 + a*d + y*d**3 and give y.\nAnswer: 2244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02276*-0.4.\nAnswer: -0.009104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-3544)\/(-1772))\/(1*(-1)\/13).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.54, -7, -0.5 in descending order.\nAnswer: 1.54, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-14)*399\/2394*3*1.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 4:41 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 159, 308, 419, 498, 551, 584, 603, 614?\n\"Answer: h**3 - 25*h**2 + 217*h - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcucrrcfwctu. Give prob of picking 1 t, 2 r, and 1 w.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6*(15 + 0). Suppose 2*z - 6 = 0, -2*b - b - 12 = -s*z. Let p be ((-7170)\/(-1026) + -7)*-9. Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 376160 and 320.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millennium in decades?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119394, 477011, 1072858, 1906929, 2979218, 4289719, 5838426?\nAnswer: 7625333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 132844?\nAnswer: -132849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**0)**(-11)*q\/((q\/(q\/(q\/(q\/(q*q**1*q)))))\/q)*q**(2\/5) assuming q is positive.\nAnswer: q**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 22*j**2 + 24*j - 51. Calculate f(21).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 7:14 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.1 (b) 0.27 (c) -14 (d) -1\/4 (e) -0.4 (f) 1\/5 (g) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5744, 5752, 5764, 5780, 5800?\nAnswer: 5824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -252383577 divided by 267639?\nAnswer: -943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210 + -3?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/41 (b) 0.2 (c) -2 (d) -5 (e) -2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1613126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.14 (b) 0.5 (c) 5 (d) 0.044 (e) -4 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v = 210. Suppose 4*s - 27 = -59, -2*p + 46 = 3*s. Calculate the greatest common divisor of v and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m + 33 = 30*m. Suppose 0 = 3*t - 4 - m. Solve 4*g - t*w = 3*g + 22, 4*g - 8 = 4*w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 + 3.2. Let k = h + 0.4. Let m = -85 - -85.5. What is the biggest value in m, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.336 times 0.2694\nAnswer: -2.5151184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**2 - 4*c + 3500. Let z(o) = -o**3 + 7*o**2 - o + 8. Let p be z(7). Let a(x) = -1. Give p*m(i) - 3*a(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*g - 17, -g - 3 = -5*m + 18. Sort m, 0.6, -1\/7 in decreasing order.\nAnswer: m, 0.6, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 - 5*t**2 - 2*t - 2. Let b be q(-5). Suppose b + 157 = 5*v. Calculate the remainder when v is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sclclslslllcc. Give prob of sequence ccls.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 51. What is k(27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1571, 1576, 1581, 1586, 1591?\n\"Answer: 5*m + 1566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -40*l - 6. Is 12 a factor of r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 g, and 2 w when four letters picked without replacement from wgggkkwwyllwgwwkyw?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2 - 8973925*k = 0.\nAnswer: -8973925, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9558894 * -12\nAnswer: -114706728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-81)\/(-9) + 68*(-7)\/56. What is the fourth smallest value in 3, -1, z, 3\/4, 730\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7 + 80\/14. Let w = 8 - a. Let t be 0 - (1 + 2 - w). Let g(x) = -x - 1. Let z(j) = -4*j - 2. What is t*z(s) + 2*g(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16103793, 16103795, 16103797, 16103799, 16103801, 16103803?\n\"Answer: 2*y + 16103791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12852 and 47088.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o**3 + 45*o**3 + o**3.\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 11*u**2 - 3*u - 1. Let h(q) = -2*q**2 + q - 3. What is -4*h(i) - k(i)?\nAnswer: i**3 - 3*i**2 - i + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9300, 9295, 9292, 9291, 9292?\nAnswer: 9295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t**3 - 15*t**2 - 15*t - 5. Let v(n) = -7*n**3 - 10*n**2 - 10*n - 3. Let z(d) = 5*m(d) - 7*v(d). Let p be z(-4). Solve p = -q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*c = -11, 2*c - 10 = -3*c. Calculate the least common multiple of u and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 + 4*v**2 - v + 2. Let s(m) = 8*m**3 - 17*m**2 + 4*m - 7. What is 9*h(r) + 2*s(r)?\nAnswer: -2*r**3 + 2*r**2 - r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 21, -435*r - 74 = -2*w - 437*r. What is the smallest common multiple of w and 1500?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384831 = -188*v + 376935 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 11:12 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*g**3 + 1)*(-1 + 8 + 2)*(1 + 4 - 3)*(-351*g + 34*g**2 + 351*g).\nAnswer: -1224*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 20 = 6*o - 2*u, -3*o - 5*u = -12. Let z = 56 + -36. Suppose -z*x + 282 = -18. Solve r - o*r + x = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4785345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -273, 3 in decreasing order.\nAnswer: 3, 1, 0, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151427 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(6\/(-8)*(10 + -11)). Suppose -5 = 5*h - 5*y, 8*y - d = 4*y. Does -2\/45 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 4*p + 0*p - 4*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-15))\/(12\/(-40)). Let d = u + 1. Let n = 8 + d. Calculate the remainder when 8 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30361884 + 20946784. Round i to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -25*j. Let n be v(1). Let y(s) = -2*s**3 + 30*s**2 + 31*s + 49. Let c be y(16). Let k = c - n. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/38*16\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.45628l to millilitres.\nAnswer: 71456.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 115*o = -2*h - 26 - 168, -2*o + 4 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 76*z - 78*z + 2*z**2 - 8*z**2. Let v be w(-2). Let r be (v\/(-75)*3)\/(21\/(-15)). What is the nearest to 0.1 in 2.5, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1308, -4260, -9060, -15708?\nAnswer: -24204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 31, -0.1, 0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p - 1. Let g(u) = -u**2 - 8*u - 4. Let y be g(-7). What is the remainder when 41 is divided by v(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 710*a**2 - 106*a + 2 wrt a?\nAnswer: 1420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20509 and 1.\nAnswer: 20509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8265319 millennia to months.\nAnswer: 9918.3828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - b - 38 = 0, -2*b = p - 0*b - 50. Let j be (504\/68)\/((-1248)\/(-49504)). What is the highest common divisor of j and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 3, 1.\nAnswer: 1, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z - 5*z - n = -49*z + 994, -z = z + 5*n - 10 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 612*n**4 - 2*n**3 + 71*n**2 + 48251*n wrt n?\nAnswer: 7344*n**2 - 12*n + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 31018583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 9. Let n be q(8). Suppose 6 = -3*j + 6*j. Solve 0 = -j*b + n - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 22 = -2. Suppose -6*b + 2*b = 2*q - k, -3*b + 14 = q. Let -2*i**2 + 2*i**4 - i + i**2 - 2*i**2 + i**5 + i**q = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/3 - 11*k**3 - 36*k**2 - 4*k\/3 + 48 = 0 for k.\nAnswer: -2, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1861, 1860, 1859?\nAnswer: 1858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 188?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s + 32. Suppose -6*x + s = -2*x. Find the second derivative of n**3 - x*n**2 - 2*n + 2*n**2 wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -946 - -962. Solve 4*u = g, -b = 12*u - 10*u - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115091?\nAnswer: 3, 19, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from iiijjjiiij?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 12*u - 46. Let w be r(9). Is (4\/6)\/(w\/438123) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -2*y**2 - 3. Let k(d) = 135*d**2 - 3*d - 2. Let j be k(-1). Let p(h) = h**2 + 136 - j. Calculate p(n(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 164830000 to the nearest one million.\nAnswer: 165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78200322?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180718, -180654, -180462, -180070, -179406, -178398, -176974?\nAnswer: -175062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/(-147) + 106\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3586135 bigger than -3586140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616\/7 < 232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8855053327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 14 - 54 - 3*m)*(-3 + 0 + 8).\nAnswer: -15*m - 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -0.4 (c) 13 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3758, -1, -5, -10, 1, 13 in increasing order.\nAnswer: -10, -5, -1, 1, 13, 3758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 57 = -2*v, -s + 2*s - 5 = -4*v. Let w be 2 + ((-10)\/(-30) - 88\/(-6)). Calculate the highest common divisor of s and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 8:42 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbvbelbbwpwpvwb. What is prob of picking 1 v, 1 l, and 1 b?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*z - 27, z - 36 = -4*w - 4*z. Let h = w - -6. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 291402*d**4*m**2 + 5*d**3*m**3 - 3*d*m**3 + d*m + 2*d + 546*m**2 + 30 wrt d?\nAnswer: 3496824*d**2*m**2 + 30*d*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/(-270) + (-808)\/330 + (282\/(-22) - -13).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1.63, -5, 4 in increasing order.\nAnswer: -5, 1.63, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 58597\/(-1522)*4\/7?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33987077\/570 - 178826\/3. Let f = -450\/19 + r. Calculate the common denominator of 21\/4 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81090127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - x - 85, -4*i + 344 = 3*x + 439 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**3\/6 - 2068*v. Let u(b) = -196*b - 3. Give j(u(y)).\nAnswer: 196*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -11*n**3 - 7*n**2 - 5*n. Let r(y) = y**3. Let m(u) = -u**3 - 3*u**2 - 2*u. Let v(l) = m(l) - 4*r(l). Calculate -4*b(x) + 9*v(x).\nAnswer: -x**3 + x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 1696.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-12)*3*4. Let l be 3\/(-6)*(-2 + i). Let s(r) = -2*r**3 + r + 2. What is the tens digit of s(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m = 0. Suppose 2*t + 3*t - 60 = m. What is the units digit of 4*-2*(-3)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56570000 to the nearest 1000000.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*u + 22*u - 1. Put 0.08, u, -12 in descending order.\nAnswer: 0.08, u, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/6 and -76\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 312295671 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -4. Let m = -51 + 55.8. Let a = m + v. Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:44 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 6*u + 13. Let o be c(7). Suppose l = o*l - 125. Suppose 5*a + l - 60 = 0. Solve 4*z - 3*z - a = -2*i, 4*z - 1 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.00631 + -0.50631. Which is the third smallest value? (a) 9.7 (b) y (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47523029816 take away -0.4?\nAnswer: -47523029815.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117235?\nAnswer: 5, 23447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 5*h = 0, 4*a - a = -5*h + 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70820\/27 + 2623. Let a(g) be the second derivative of 5\/54*g**3 + 1\/180*g**5 + 0 + 12*g + y*g**4 + 1\/9*g**2. Find h such that a(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2. Let g be -6*((-10)\/(-15) - 1). Let o(l) = 721*l**3 + l**2 - 722*l**3 + 0*l**g. Give -2*o(a) + x(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13540, 13533, 13526, 13519?\nAnswer: 13512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2725286, 2725251, 2725216, 2725181, 2725146, 2725111?\nAnswer: 2725076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/36 and -47\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56615 + 28021 = 4*h. What are the prime factors of h?\nAnswer: 3, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354401280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -3*y**2 + 0*y + 1\/12*y**4 + 0 + 0*y**3. Let b(x) = 2*x**2 + 3*x - 3*x. Calculate j(b(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008571 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14913389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -18*z - 238. Let p be q(-19). Let i = 118 - p. Solve 2 = y - 2*d, i = -5*y + 3*d - 5*d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22031058 less than 7813797?\nAnswer: 29844855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 14*u = 6. Let o be u + 3\/3 - 8. What is the remainder when (-146)\/o + 33\/(-22) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 w when four letters picked without replacement from mwmwmwwwwmw.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/3 - (-4)\/(-6). Suppose -u*s - 12 = -9*s. Suppose -2 = s*f - 20. Solve -4*a + 35 = a - 5*l, 13 = f*a - l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - -6*13\/312.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 1. Let w(g) = 3*g + 3. Let a(s) = -2*v(s) - 3*w(s). Calculate a(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*r**3*y - 37*r**2*y - 2*y wrt r?\nAnswer: 606*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.043 and 0.1.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/504 and 163\/792.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 2*p**3 - 4*p**2 + 2 + 2*p**4 + 3*p**2 to g*p + k*p**4 + d*p**2 + o + l*p**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-137)\/(-822))\/((-2)\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(20)\/((sqrt(64) - sqrt(4)) + sqrt(4) - sqrt(4))).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(4500) + sqrt(4500) + 2)**2 + 1.\nAnswer: 240*sqrt(5) + 18006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -308, 25\/2, -0.01, 154\/19 in descending order.\nAnswer: 25\/2, 154\/19, -0.01, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 69594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 2 - (1 + 10)) + 49 + 30?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -2. Suppose -m + 5*r = 18, -5*m + s*r + 1 = 3. Let w(u) = u**3 + 2*u**2 - 2*u + 2. Let i(b) = b**3 + 3*b**2 - 3*b + 3. Determine m*i(a) - 3*w(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 5*k + 1. Let r be l(4). Suppose -4 = -2*c + 5*d, 4*c - 11*d - 64 = -15*d. Suppose -r*o - o = -c. Solve 0 = -2*j + j - o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*l - 8 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*(0 + sqrt(1539)) - sqrt(1539) - (3 + -1*sqrt(1539))**2).\nAnswer: -1546 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (7 - (-5 - (-4 + 1)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 3*o**2 - 15*o - 5. Determine u(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -421*10355\nAnswer: -4359455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 + 55 = -g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4)*50\/15. Let l(s) = s**2 - 1. Let a(y) = -7*y**2 + 4. Let i(j) = z*l(j) - a(j). What is the first derivative of i(b) wrt b?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2388 = 19*d - 25*d. Suppose 4*i - 342 = d. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115036*p**3 + 29229*p.\nAnswer: -690216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -18.14. Let v = -0.24 - d. Let n = 5 + 6. Which is the biggest value? (a) -4\/5 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. Is 8\/4 + x + 15 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5*i = -17, -7*m + 3*m = -4*i - 20 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 1:06 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 8, 15, 26, 41?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63206 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.5 times 129?\nAnswer: 16447.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3083311111 to the nearest integer?\nAnswer: 55528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, 14, 20, 8, -28?\n\"Answer: -y**3 + 25*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 5*l + 24, -7*s - 9 = -l - 3*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -127 (b) -20675 (c) 2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 1 - (1 + -2 + 7 + -72).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2 = -l - 7, 0 = -4*o - 3*l + 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/7 + 4458*n\/7 + 4461\/7.\nAnswer: -3*(n - 1487)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 14*x = -24. Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19910\/16121 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 41268?\nAnswer: -2\/3439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 203021 + -316?\nAnswer: 202402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101000 + 11001001000110?\nAnswer: 11001011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*a - u - 3, -2*u = 5*a + 11. What is the units digit of 2 + 1 + a + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 2*g + 1. Let q be w(0). Let o = -4 - -6. Let h be 1 - (1 + 1 - o). What is the greatest common factor of q and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 4*x - 5. Let i(j) = j**2 + 5*j + 6. Let h(t) = -5*g(t) - 4*i(t). Let l(k) = -5*k - 2. What is h(o) + l(o)?\nAnswer: o**2 - 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 3*z - 5, 23*f + 3*z = -78 - 52 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 65. Find s such that u*s**3 - 2\/9 + 4\/9*s**2 + 0*s - 2\/9*s**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (70\/(-21))\/(-5)*3\/2. Which is bigger: n or -2\/115?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 + 3 - 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 5*v**4\/12 + v**3\/6 - 3*v**2. Give f(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4384?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16823 - -55130. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + b**2 - 3*b**2. Let u(n) = 1 + 13248*n**2 - 1 - 13272*n**2. Give u(c(d)).\nAnswer: -216*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0 = -3*y - 15, -3*n = 2*y. Suppose -4*h - 208 = -4*u, -n*h + 2 + 4 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 686.6ug?\nAnswer: 0.0000006866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i + 4. Let z be x(4). Let v = z + 17. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*s + 30 = 118*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(306)\/(-1*sqrt(6)*-2))\/(sqrt(432) + -5*(sqrt(432)*-1 - sqrt(432))))**2.\nAnswer: 17\/69696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/3)\/(x\/(x*x\/(x\/((x\/((x\/x**(-2\/9))\/x))\/x)*x))*x)*(x*x**(5\/3))\/(x\/(x*(x**(-4)\/x)\/x*x)) assuming x is positive.\nAnswer: x**(-35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23988 or -23969?\nAnswer: -23988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 78491660?\nAnswer: 706424940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) + 132\/5. Let v be 17\/(-3) + -3*3\/27. Let g be p\/7 + v\/(-21). Solve -g*o + 5 = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 257 and -0.2.\nAnswer: -51.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 85*l**2 - 46*l + 3421. What is p(85)?\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -10. Let g(m) be the third derivative of 1\/30*m**5 + 2*m**s + 1\/6*m**4 + 0 + 0*m + 1\/3*m**3. Solve g(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 9*t + 4096 = -2*o, -5*t = -3*o - 10234. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26192 + -26232. What is the second smallest value in -0.3, 0.2, a, 27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*t - 75. Suppose 3*b - 53 - t = 0. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 148 - 115. Let p(w) = -8*w - 12. Let l be p(-9). Suppose 3*v - l = -2*v. Calculate the lowest common multiple of i and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 26 + 54. Let h = 24 - z. Let o(u) = u**3 + 20*u**2 + 50*u - 16. Let v be o(-17). Sort v, h, -1 in decreasing order.\nAnswer: h, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 - -114 - (4 + -20).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1020?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5136 and 56?\nAnswer: 35952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5801918*f**2 - 15733*f + 16 wrt f?\nAnswer: 11603836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -466*m + 380*m**2 + 2 + 103*m - 92*m - 381*m**2 + m**3 to k*m**3 + n*m + r + o*m**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 70. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**4\/4 - 43*m**3\/3 + 83*m**2\/2 - 39*m - 64. Let h be t(41). Solve -2 = 3*l - 2*k, 0*l + h*l + k + 13 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14105 and 4650?\nAnswer: 423150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.585 + -0.045. Let o = -273.84 - -269. Let g = q + o. Round g to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/3, -18, 2\/27, 3, -1, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 2*f. Let h be c(2). Suppose 0 = b - h*b + 114. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*i + 4714. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (73\/(10731\/(-42)))\/(1\/56)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 10*h + 2. Let k be w(5). Suppose -2*a = -5*a + 3*p + 51, 17 = a - k*p. Calculate the remainder when a is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/33097460 and 25\/562948?\nAnswer: 959826340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 26090.99ng?\nAnswer: 0.00000000002609099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3416)\/35)\/2*(3 - 18) is divided by 115.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69368179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 1640*z - 531030. What is d(277)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*i + 10. Let g be 4\/(-8)*-2*i. Suppose l - 4*o - 36 = 0, -5*l - g*o + 228 = -o. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + -5*(-4 + sqrt(176)).\nAnswer: -20*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/5*(-7)\/21*-18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q. Suppose 0*p - 4*p + 5*w - 25 = q, 3*p - 20 = -4*w. Let m = -714.3 + 714. Which is the closest to p? (a) -2 (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 269044\/22995 + -1\/9198. Let s(y) = 102*y. Let b be s(1). Calculate the common denominator of o and 14*b\/(-900) + (-2)\/(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1448 greater than -1447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99075 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -225 divided by 1?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)*2 + (sqrt(6000) - sqrt(6000)*-2))\/(3*sqrt(320) + sqrt(500)*2).\nAnswer: 18*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w + 0*w)*(8*w**2 + 80*w**2 + 47*w**2 + (0*w - w - w)*(-2*w - 1 + 1)).\nAnswer: 417*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1)\/((-15)\/(-2)). Let l = 0.62 + -0.82. Which is the closest to l? (a) p (b) -1 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69671, -278684, -627039, -1114736, -1741775, -2508156, -3413879?\nAnswer: -4458944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/21*(-98)\/(-1722). Is p smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(180))**2*-4 + 5)*-5.\nAnswer: 14375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b + 0 - 13\/84*b**4 + 2\/7*b**3 - 17*b**2 + 1\/210*b**5 + 1\/210*b**6. Let w(i) = 0. Calculate i.\nAnswer: -3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -343, -3, -5, 31.\nAnswer: -343, -5, -3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -619.9 times -0.038\nAnswer: 23.5562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101 - -30666?\nAnswer: 31100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + 4 + -2 + sqrt(171) + 0 - (sqrt(171) + -1 + 1 + sqrt(171) + sqrt(171) - 3*sqrt(171)*-5))**2.\nAnswer: -510*sqrt(19) + 49448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 1464.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**2 + 111*m + 33. Let g be f(16). Let b(r) = r**3 - 18*r**2 + 17*r + 3. Determine b(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 12. Let c be b(9). Suppose -y - c*y + 672 = 0. Suppose -5*d = -y - 112. Calculate the highest common factor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 79*z**2 + z + 16. Let n be h(5). Suppose 5*x - x = -4*k + n, -5*k + 2495 = -3*x. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258783669 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -0.4160057?\nAnswer: -0.5160057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5210 + -345?\nAnswer: 4532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 - 67. Suppose -4*g + k = 4*d - 6, 5*d - 4*g - 2 = 0. Suppose d*v = -v + 339. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**5 - 1118*p**4 + 35860*p**3 + 230384*p**2 = 0?\nAnswer: -308, -11\/2, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 3 + (1 - 2). Suppose 2*l = -2*i - 4, 2*i + p*i + 5*l + 10 = 0. Solve i*w - 10 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 357 - 3215\/9. Let j = 0.3 + -0.1. Which is greater: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5285 + 2*u**2 + 5285.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 818*k - 16 = 816*k, 6 = 5*d - k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/5)*q)**15\/((q*((((q\/q**12)\/q*q)\/q)\/q)\/q)\/(q*q*q**(-2\/3)*q*q)) assuming q is positive.\nAnswer: q**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (55 - 76 - (6 + -79)) + 2 + 5\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -619, -624, -629?\n\"Answer: -5*m - 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 divided by -206?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6097 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11018, 20548, 30078, 39608?\n\"Answer: 9530*k + 1488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -177*d**2 - 2 + 277*d + 174*d**2 + 4 - 7*d**3 wrt d.\nAnswer: -42*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 5*t**2 + 2*t**2)*(-16*t + 577*t - 52*t)*(-2*t**2 + 3*t**2 - 3*t**2).\nAnswer: 1018*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 0 - 13\/24*p**4 + 0*p - p**2 - 17\/3*p**3. Let o be r(-6). Calculate the greatest common factor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*o**2 - 34*o**2 - 3*o**3 + 59*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 661980708?\nAnswer: -661980711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4 = 2*i. Let f(n) = n + 14. Let c be f(-10). Let x(t) = 3*t**2 + c*t + t**3 - 6*t**2 + 7 - 3*t**2 - i. What is x(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p + 3*p - 2*p)*(-2*p**2 + 0*p**2 + 4*p**2) + (p**2 - 2*p + 2*p)*(-p - 2*p + p) to k + t*p**3 + h*p**2 + j*p and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1, 0, -0.1, 0.5, 17425?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58.745 + 59. What is r rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -7*s**3\/6 - 115*s**2\/2 - 2*s - 110. What is f(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33321251 divided by -1.\nAnswer: -33321251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*v = 4*f + 220*v - 993, 4*f - 939 = -5*v. Let g(n) = 9*n**3 + 2*n - 1. Calculate the smallest common multiple of f and g(1).\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1, 0, 0.08, -181?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6511415 is divided by 2924.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 12*k**2 - 10. Let n(b) = 13*b**2. Give t(n(l)).\nAnswer: 2028*l**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9018124?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134174803?\nAnswer: 7, 67, 73, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*110\/(-1584)*-12.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-3 - -2) - -3) + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**2*w**12*(w\/(w**13*w*w))\/(w*w**(-6)*w))**(6\/11) assuming w is positive.\nAnswer: w**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - sqrt(144) - sqrt(36))\/sqrt(12) + -3*(sqrt(3) + 2).\nAnswer: -5*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2 + f - 4 - 3 - 3*f. What is the units digit of i(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*b - 359*b = 650 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 8, 27, 66, 131, 228?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*q = -40*q + 5*y - 30, -5*q = 5*y - 45 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34304746*k**2*u**2 - 9*k*u**2 + 105*k*u - 536*k - u**2 + u wrt k?\nAnswer: 68609492*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 717*l**2 + 440*l**2 - 234 + 234 - 1158*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -38*o**2 + 480*o - 27. Determine s(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.034 (c) 10.4 (d) -60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*d = 2325 - 526, 0 = -5*u - 2*d + 1791. Let z = 648 - u. Let i = -180 + z. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*n**2*v**2*w + 6*n**2*v**2 - 3*n**2*w + 5*n*v**2*w - 2*n*w + v**2*w - 16*v*w wrt n?\nAnswer: -50*v**2*w + 12*v**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/2*-5 - 2. Let l be 4*((-56)\/(-420) + 118\/(-660)). What is the third smallest value in -3, l, o, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0351671 months in millennia?\nAnswer: 0.000086263925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/35 - 1\/5. Put 0.2, -3\/19, x in descending order.\nAnswer: x, 0.2, -3\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-20))\/((-1012)\/(-1150))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*h - h + 0*h)*(2*h + 2*h - 2*h) - 12*h**2 + 5*h**2 + 2*h**2)*(-h**2 + h**2 - 2*h**2) to q*h + l + x*h**4 + s*h**2 + i*h**3 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -16\/18215 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 14*u - 2 - 7*u - 7*u + 2*u. Let y(k) = k**2 + k. Calculate m(x) - y(x).\nAnswer: -2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 12. Suppose 2*z - k = z. Suppose -5*o = -z - 2. Let y(s) = s**3 - 2*s**2 + 3*s. Give y(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (((-21)\/(-2) - 8) + -1)*4206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7286108.\nAnswer: 2, 311, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -222029, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-9) + -1 - (-16)\/72. What is the second smallest value in p, -0.5, 1\/6, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1496, 2906, 4322, 5744?\nAnswer: 7172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1699 divide 7637005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 183*r**2 - 1387*r + 56. Is h(22) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/22814940 and -61\/240.\nAnswer: 91259760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*l - 57 = 0, -3*i + 2*l - l = -80. Solve -i*x = -26*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 3. Let p be k(-5). Let c = p + 8. Solve 3*h + 11 = o, 5*h - c = -2*o - 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.08 (b) 92.33 (c) 4\/9 (d) 5 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + 3 + -4 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 32. Let l be y(16). Solve l = q - 7 + 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*2 + 4 + (-5*sqrt(8)\/sqrt(4))**2.\nAnswer: 2*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300\/7 less than or equal to 186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**3\/6 + j + 65. Let k(y) = y**2 + 2*y**2 + 2*y**2. Determine o(k(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13216705.8, 1, 0.1.\nAnswer: 0.1, 1, 13216705.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -1. Let k(j) = -3 - z - 2*j + 6*j**2 + 2. Let f(c) = -c**2 + c + 5. Let v(t) = -t**2. Let p(x) = f(x) + 3*v(x). Give 5*k(s) + 8*p(s).\nAnswer: -2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - u - 29, u = 4*l - 5*l + 1. Let r be 4\/(-4) - (4 + -7). Let b(a) = -l + 5 - a**r - 4 + 5*a. Give b(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 3*q - 28 + 25, 3*u + 1 = -4*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 2065a?\nAnswer: 20656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -8*q. Solve x + q*x - 3 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2035106.2 + 0.1.\nAnswer: 2035106.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40462248983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 34*u - 39*u = -30, 10 = -3*p + u. Let s(o) = o**2 - 1. Suppose 2*r + 10 = 6. Let z(b) = 2*b**2 + 1. Calculate p*s(h) + r*z(h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-148)\/(-1998) - 2118\/162?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 127*s**4 - 261*s**3 - 128*s**4 - 1 + 1 - 2*s**2 - 3 + 2*s as y*s**3 + t + m*s**2 + x*s**4 + u*s and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) -2 (b) 0.07 (c) 0.949 (d) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49848062 to the nearest integer?\nAnswer: 7060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 9*u + 277 = 4*u, 1184 = -4*t - u. What is t rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -49*u**6\/120 + 7*u**5\/15 - u**4\/4 + 787*u**2. Find the third derivative of f(w) wrt w.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-852)\/(-1065))\/((-19916)\/(-10)). Is h bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 461*j + 761 + 622. What is the closest to 2\/3 in 2\/5, -3.23, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 18*m**3 - m**2 + 2*m - 1. Calculate v(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 l when three letters picked without replacement from lllzllwzlwzllll.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 1 - 21. What is the units digit of ((-22)\/8 - 1)\/(l\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 444 + 276 = 0. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**4\/4 - p**3\/3 + 13*p**2\/2 + 2*p + 49. What is the hundreds digit of h(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -227.473 + -0.527. Let n = 229 + h. Let i be (-1 - -2)*2\/(-6). Which is the biggest value? (a) 0.5 (b) n (c) -5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 1. Let v(m) = -36*m - 1. Is v(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - q**2 - q + 24. Let z be v(0). Let n(i) = 4*i**2 - 4*i - 4. Let g be n(-3). Suppose -2*c + g = -z. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 262, 0 in descending order.\nAnswer: 262, 13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 23*y + 26. Give q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 2*h + 14*h - 9268142 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/7 + 52*n**2\/7 + 128*n\/7 + 80\/7.\nAnswer: 4*(n + 1)*(n + 2)*(n + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4061*l - 2 = 4063*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -17. Solve 4*x - f - 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 2:39 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 4, d: 5, o: 2, c: 1, k: 1}. What is prob of sequence wk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24091 is divided by 6022.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 278899 = -4*x - 3*s, -4*x + 4*s - 278892 = 0. Let l = -47137 - x. Suppose 77413 = 4*r - l. Round r to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 14*n**2 - 12*n + 14. Give t(-15).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6 - -7)*0)\/2. Let c(y) = y**2 + y + 3. Let b(p) = 1. Let o be ((-1)\/(-3))\/(2\/(-6)). Let g(a) = o*c(a) + 3*b(a). Calculate g(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/(-15) - -1)\/(2\/5). Let c be ((6 - p) + 5)\/1. What is the greatest common factor of 55 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 14 = r, 17 - 4 = -4*b - r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 6 + 10. Suppose 0 = -y*c + 3*j - 13 - 2, 5 = -4*c + j. Which is smaller: -8\/7 or c?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19113, 19118, 19133, 19164, 19217?\n\"Answer: o**3 - o**2 + o + 19112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*a + 755*a - 207*a + 419*a + 461*a.\nAnswer: 1213*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -125, 17, -0.1, 0.\nAnswer: -125, -77, -0.1, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 219 and 318986348.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -2635502?\nAnswer: -2635504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62223013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6233876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + 0 + 4 + -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 7:58 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47825 is divided by 47677?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.456 + -39.6846. What is z rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*942426.\nAnswer: -9424.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**16)**(10\/7)\/(x**(-2\/9)\/(x\/((x\/(x*x**15*x))\/x)*x)) assuming x is positive.\nAnswer: x**(2651\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18191879 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 25079981.\nAnswer: 4\/25079981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8106 and 84?\nAnswer: 16212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkyk. What is prob of sequence ky?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (52\/(-5) + (-6)\/(-15))*1. Let r = 71 - f. What is the highest common factor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/3)\/((-16)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 16. Suppose -a - 57 = 4*y - l*a, 3*y + 34 = 2*a. Let v = y - -10. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (291*i**2 + 57*i**3 - 291*i**2)*(4*i - 3*i - 2*i) + (4 - 4 - 2)*(0*i - i - i)*(-3*i**3 + 3*i**3 + 2*i**3).\nAnswer: -49*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 90*o - 107*o. Let h be 2\/(-3)*(-1)\/2. What is the nearest to h in 3, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 5 - 5)*(-12489 + 7*t - 2*t**3 + 4*t + 12496).\nAnswer: 2*t**4 - 11*t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133463?\nAnswer: 11, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -20*u + 1716. What is the smallest common multiple of 316 and s(48)?\nAnswer: 59724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-368)*-23*(-112)\/3.\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18075 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -111*c. Let d(o) = -31*o**2 - 4*o + 43. Determine d(q(m)).\nAnswer: -381951*m**2 + 444*m + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**4\/24 + 358*d**3 + d**2. Let y be j(0). Let g = y - 19393\/9. Calculate the common denominator of -63\/5 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60950?\nAnswer: 2, 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -1.5. Let z = -0.73 + n. Let j = z - -2.16. Round j to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.86 - 84.76. Let t = v - -98. Round t to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1102, -20, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*v + 12 - 17 + 5.\nAnswer: -113*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 149985089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*z + 18 = 2, -3*z = -5*k + 38. Let t = 151 - 145. Suppose k*h = 4*h + t. Solve h*q - 5 + 0 = -l, -q - l = -3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/4*16\/(-12). Let u(a) = a**3 + 7*a**2 + 4*a + 5. Does 5 divide u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*q + 48*q + 67*q to h*q + y and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 57*w**3 + 12*w**3 - 4.\nAnswer: 69*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 5*i**4\/4 + i**3\/3 - i**2\/2 - 2. Let o be c(1). Suppose 15 = -2*d + o*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.012 and -0.24?\nAnswer: 0.00288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 293062644 a multiple of 3108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 9 = 0, -o + 0*m = 3*m - 25. Suppose 0 = -967*l + 961*l + 150. What is the remainder when (-71588)\/(-1100) + (-2)\/l is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 + 10. Let w(r) = -11*r**3 + 2*r**2 + 42. What is -9*b(f) + 2*w(f)?\nAnswer: 5*f**3 + 4*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -33*y + 90. Let w be l(4). Suppose 4*n = -n + 390. Let o = n + w. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - 4 - (1 - (-8624)\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 1 + 1 + 3*j**2 - 4*j**2 + 0*j**2 + 2*j**2 + (0*j + 3*j - j)*(1 - 2*j - 1) - 2*j**2 + 2*j**2 - 3*j**2 + (0*j + 0*j + j)*(0 + 0 - j).\nAnswer: -7*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -86. Suppose 0 = -7*t + 4*t + l. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 = -4*m, -5*w + 3*w = -4*m + 2. Let q = -1 + w. Let a(k) = 0 - k - q + 3. Calculate a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3140*j**2 + 5*j + 11509*j**2 - 38*j**2 - 6*j + 15701*j**2.\nAnswer: 24032*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 4 = 9*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43.1 - -45.1. What is the nearest to 4 in 0, -2\/29, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 38091 = -32709. Round g to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**6\/144 + a**5\/10 + a**4\/12 + 3*a. Let q(o) be the third derivative of s(o). Differentiate q(v) wrt v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11946835 and -0.5.\nAnswer: 11946834.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(6\/5)*h*h*(h*h**(-22)*h*h)\/h assuming h is positive.\nAnswer: h**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25546025 (base 7) to base 14\nAnswer: 449715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 8:44 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 2*l + 8 - 26. Let o be x(7). Solve -2*d = -5*d + o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k**2. Let w(x) = 105*x**2 + 4*x + 32. Let c(r) = 106*r**2 + 3*r + 24. Let q(b) = 4*c(b) - 3*w(b). What is q(t(m))?\nAnswer: 6976*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from {y: 9, i: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904.5403cm to kilometers.\nAnswer: 0.009045403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102862 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/14 + (-94)\/(-154). Let y = -2.2 + 2. Let p = -164 + 168. What is the biggest value in p, d, 2\/7, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677458 is divided by 3492?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64.51965 - -64.69. Let p = 0.171 - w. Round p to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4062499, 4062500, 4062501, 4062502, 4062503, 4062504?\nAnswer: 4062505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -7*f**6\/2 - 69*f**5\/5 + 33*f**4\/2 + 8*f**3 + 3781. Find u, given that g(u) = 0.\nAnswer: -4, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-209*f**2 - 21*f**3 + 209*f**2)*(0*f**2 - f**2 - 3*f**2).\nAnswer: 84*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -11 - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -2*v**7\/105 + v**6\/120 - 6*v**2. Factor s(n).\nAnswer: -n**3*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = y - 39, -y = g + 41. What is the tens digit of (-5)\/(g\/(-44) - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/4)\/f*f*f*f**(-5)*f)\/(f*f**(-6)\/f*f*f**(1\/7)*f)*((f**(2\/9))**(-2\/9))**50 assuming f is positive.\nAnswer: f**(-1955\/2268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 3*a + 2*a**3 + (-3*a + a + 4*a)*(-5*a**2 + 0*a**2 + 3*a**2) - a**3 + 12*a - 2*a**2 + 15*a - 25*a.\nAnswer: -3*a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (8 + -3 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/18)\/(10\/(-6)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23810223*o**4 + 301*o**2 - 8130*o - 1?\nAnswer: -571445352*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 22, 52, 108, 196, 322?\n\"Answer: y**3 + 4*y**2 - 9*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 101.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -318068000 to the nearest 1000000.\nAnswer: -318000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/3)\/(4\/1379094). Let a = -366849 + z. What is a rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*s - 4*n, 5*s - 2*n + 2 = -14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 40*v - 4466. Give k(113).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-228)\/40 - -6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s - 294. Let w be q(37). Suppose m - 3*m - w*d = -130, 211 = 3*m - d. What is the remainder when m is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 701563?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 32. Let n(d) = 20*d - 3*d**3 - 2*d**2 - 18*d + 5 - 5*d**k. Is n(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35 minus -6815.02?\nAnswer: 6815.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3551 and 3328771.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m - 2*m + 3*m + (-3 - m + 3)*(5 + 0 - 3))*(17*m + 2*m + 26*m)*(-3 - 15 - 19) to j + g*m + i*m**2 and give i.\nAnswer: 6660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t - 13. Let p be b(-9). Suppose 4*i + p + 6 = 0. Let u be 3802\/i + (-2)\/(-5). Round u to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/(-832)*-16*18\/84.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 67*c**2 - 461*c - 10102. What is o(-36)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 763\/255 - 35\/17. Let f = a - 3\/5. Is 0 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -755442.2803 to the nearest 1000.\nAnswer: -755000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16414270 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 h = -1091\/44 - -97\/4. Is h smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*g = -164195 - 691381. What is the highest common factor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 17*b - 17. Let h be a(1). Is (h - -3)*(-5)\/(-60)*13796 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40520?\nAnswer: 2, 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 564901739 to the nearest integer?\nAnswer: 23768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by 12891.\nAnswer: -24\/4297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 5*h - 4. Let g(v) = -5*v**2 - 2*v - 1. Let q be g(-1). Let u = q - -15. Calculate the remainder when o(-9) is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19428.5 + -19411.4957. Let d = b + -17. Round d to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5043002 (base 7) to base 14\nAnswer: -118372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2 - 17*n - 6. Calculate m(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -14. Sort z, -2, -0.05.\nAnswer: -2, z, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + (2*(sqrt(209) - (sqrt(209) + 2*sqrt(209))) + sqrt(209))\/sqrt(11)))**2.\nAnswer: 24*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -21*(-20)\/18*(0 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 16, 7 = -4*g + 5*g + 5*o. List the prime factors of (-3)\/(g\/(-2)) + 896\/18.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -18*q**2 + 35*q + 32. Let t(f) = 25*f**2 - 51*f - 47. Let x(b) = 5*t(b) + 7*z(b). What is x(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a**3*f**3*t - 428*a**3*f - 5190*a**2*f**3*t + 2*a**2*f**3 - a*f**3*t wrt a.\nAnswer: -36*f**3*t - 2568*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 17*d - 2. Give u(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 18 = -5*r. List the prime factors of ((-1)\/r)\/((-4)\/816).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from ttgfftggtttfgf?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 906580.8 - -8072966.\nAnswer: 8979546.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/7, 0.41, 5, 18, -2\/17 in ascending order.\nAnswer: -2\/17, 0.41, 5\/7, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -22. What is the remainder when y is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -5*s**3\/6 - s**2\/2 + s. Let y = -141 + 142. Give u(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -405, -384, -327, -216, -33, 240?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4889986 + 11404819. Let f = -16294683.00067 + d. Let w = f + -122. What is w rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142518587, 285037174, 427555761, 570074348, 712592935?\nAnswer: 855111522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*t - 5*p + 59 - 48, 4*p - 17 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (72\/(-10) + 34))*(-10)\/(-2).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38, -420, -1378, -3170, -6054, -10288, -16130, -23838?\n\"Answer: -43*f**3 - 30*f**2 + 9*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 8*f - 10. Let w be m(-9). Calculate the lowest common multiple of (-4 - w) + (-1 - -26) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174770139 to the nearest integer?\nAnswer: 13220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 87 - 87 - 12*r**5 + r**5 + 2*r**5 - 2*r**5 - 5*r**5 + 4*r**5 - r**5 + (2*r**4 - 3*r**2 + 3*r**2)*(3 - 3 - 2*r) + r**5 - 6*r**5 + r**5.\nAnswer: -21*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 39c4?\nAnswer: 39c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -4. Suppose 0*v = -2*v - 4*c - 74, c = y. Let h = v - -69. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v*v**0))\/v*v)**(1\/31)\/(v**0\/(v**5\/v)) assuming v is positive.\nAnswer: v**(125\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0166058 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5 - 30. Factor -o*x**3 + 3 + 1 + 21*x**2 + 24*x - 44*x**3.\nAnswer: -(x - 1)*(7*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f = 4*f - 13*f + 1554 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 0)*(-209*a**4 + 2296*a**4 + 826*a**4) to the form d*a**2 + p*a**4 + o*a + z*a**3 + k and give p.\nAnswer: 2913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 3*x + 18. Calculate the remainder when h(-7) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c + c - 21. Suppose r + 2*k - 4*k = 8, -19 = -c*r + k. Suppose -r*m = 2*m - 536. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + n + 0*n)*(-385 - 469*n + 385).\nAnswer: -469*n**2 - 938*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 176 + -161.6. Let f = 14.2 - n. Let v = 3.4 + -0.4. Which is the closest to f? (a) 5 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 165 - 168 - -8*1. Sort -3, y, -6, 3, -25 in decreasing order.\nAnswer: y, 3, -3, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - 10*k**4 - 6*k**2 + k + 8 + k + 5*k**2 as l + y*k**4 + p*k**3 + f*k + v*k**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evtttmtataetwt. Give prob of sequence mv.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 39\/14029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 726 and 3256?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-4)\/(-8))\/(8\/64).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/45, -3\/5, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1656 - 1657.107. Let m = -0.027 - f. Let u = -0.43 + m. What is u rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exo when three letters picked without replacement from {i: 2, y: 3, e: 1, o: 1, x: 7, k: 3}.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)*(x\/(x*x**(-5\/7)))\/x assuming x is positive.\nAnswer: x**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5 = -2*k, x = 4*k - 7*k + 14. Let c(g) = g**2 + 2*g - 30. Let a be c(k). Solve -14*i + 15*i = a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v - 30*v - 65*v - 33*v + 207*v - 33*v - 34*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144.1 + 17.9. Let x = s + -124. Let n = 40 - x. What is the second smallest value in n, -0.13, -1?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 6:18 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6161 + 0.1161. Let p = -36 + 181\/5. Let z(a) = -3*a + 3. Let q be z(2). What is the smallest value in p, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (2 - (4 + -5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s + 3*p + 1595 = 0, -6 = 2*p. Suppose -4*y = -4*t - 1580, t + s = 4*y - 0*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 - 126*x - 112. What is f(-41)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 8 = -118*l + 119*l, l = -5*c - 34 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kokkiooi. What is prob of sequence io?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9096\/11370)\/(1\/((-85)\/2)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 4*k = -19*n + 45, -n + k = 0. Sort -2, -1, n, 11 in descending order.\nAnswer: 11, n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 618, 3245, 8982, 18933, 34202, 55893, 85110, 122957?\nAnswer: 170538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 6*b + 2. Let h be 4\/22 + 64\/11. Let w be p(h). Is w\/(-4) + (-42)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 12*v**2 + 3*v - 3. Let f(t) = 2*t**3 - 23*t**2 - 7*t + 7. Let i(n) = 6*f(n) + 11*r(n). Determine i(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -670, -2705, -6096, -10843, -16946, -24405?\nAnswer: -33220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -180, -158 in ascending order.\nAnswer: -180, -158, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y - y**2)*(-9*y + y**2 + 9*y)*(-7 + 2 - 7).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/3 + 10*i**4\/3 + 17*i**3\/3 - 28*i**2\/3.\nAnswer: i**2*(i - 1)*(i + 4)*(i + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10 + 6 + 704\/(-55))*(-275)\/22\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 9. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 22 = -3*u. Suppose 2*z - 3*b - 11 = 0, 0 = -4*z - b - 13. Let i = z - u. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 100*a - 85*a + 106*a - 135520. What is the greatest common divisor of 120 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.8 and 0.2.\nAnswer: -2.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 29 = -5*g, 5*l + 5483 = 2*g + 5570 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 78*-0.1\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (1 + (0 - 2) + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 3*m - 2 = 5*h, -6 = 2*h - 4*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8 - -0.8. Let z = w + 0.99999952. What is z rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 96. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -401204 (base 5) to base 15.\nAnswer: -3b54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 110.424 years?\nAnswer: 1325.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*l - 31368 = 0, 0 = 2*k + 7*l - 26280 - 5124. What are the prime factors of k?\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 6*b**2 + 4*b. Let y be m(-4). Suppose 6 = -a + y. Calculate the highest common factor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p - 2673. Let d(o) = -3*o - 897. Calculate -7*d(u) + 2*i(u).\nAnswer: u + 933","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*q**3 + 5*q**2 + 31*q**3 - 5*q**2 - 4*q**2 - q**2 + 27*q**3.\nAnswer: 3*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 3, a: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3 - 7 = -s - 4, -9*f + 2*s = 3*s - 0*s - 64 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461110 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdfutut. What is prob of picking 1 f and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 984944.1ug to milligrams.\nAnswer: 984.9441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1240.4, 1.81, -1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12632153 and 0.5.\nAnswer: 6316076.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 - 72. Suppose 5*u + 24 - 201 = -b*f, f = 4*u + 121. List the prime factors of f.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -184378 - -18?\nAnswer: -184360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 1082 = 1337. Is 39 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -13*s**2 - 713*s + 77613. Let a(m) = 3*m**2 - 15*m + 1. Let r(x) = 5*a(x) + l(x). Factor r(i).\nAnswer: 2*(i - 197)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 3*b + 6. Suppose b = -4*a + 10. Let l(c) = 7*c**2 + 2. Let f(h) = -4*h**2 - 1. Calculate a*f(z) - 3*l(z).\nAnswer: -z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/180 and 101\/700.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 62 + 54. Solve -7*d - 20 = -4*h - s*d, -3*h = -2*d - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**3 + c**3 + 2*c**3 + (0 - 3 + 2)*(c**3 + 0*c**3 + 0*c**3) + (-2*c**3 + 3*c**3 - 2*c**3)*(3 - 4 + 2) + 0*c**3 + 0*c**3 - c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10913*g**2 + 1 - 1 - 11343*g**2 - 1091*g**4 wrt g?\nAnswer: -26184*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11152 + -1?\nAnswer: 11151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -3*n + 84. Sort 2, n, -2, -4.\nAnswer: n, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 901560288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/8219 (b) 2 (c) 0.4 (d) 0.2 (e) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -103a14 (base 11) to base 13\nAnswer: -5a8ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 e when four letters picked without replacement from eehheeheeeheheeeee.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 776c4 + -9?\nAnswer: 776ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 20*f + 1. Give y(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 729253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 18\/47691289?\nAnswer: 18\/47691289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5778 is divided by 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 201000200212 (base 3) in base 13?\nAnswer: 1015b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/237 and 49\/3261?\nAnswer: 257619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*y + 24 = -78, 320 = 3*j + 2*y. Calculate the greatest common factor of j and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 6*o + 2. Suppose -4*n + f = 15, -1 = -2*n + 4*f + 9. Let h be r(n). What is the derivative of -8 + 3 - h*t**4 - 1 wrt t?\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487.7182 weeks in milliseconds?\nAnswer: 294971967360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3 + 4 + 0*i - 26*i. Suppose -3*v - 59 = -4*q, -q + 5*v - 5 + 24 = 0. What is the remainder when a(-1) is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 674 or 673?\nAnswer: 674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 1\/66*r**4 - 8*r - 2\/11*r**2 + 1\/33*r**3 + 0. Determine n so that s(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 6:04 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/704 and 19\/192.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 0.08, -156, -1, -5.7?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.7662*-0.3.\nAnswer: -1.42986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50)\/(-12) - (-1 - -14 - 11627\/906). Let g(a) be the second derivative of 0 - 1\/30*a**y - 16\/5*a**2 - 11*a + 8\/15*a**3. Find k, given that g(k) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-728)\/(-117) + 175\/225.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -35*f**5 + 9*f**3 + 7*f - 9. Let h(o) = -17*o**5 + 4*o**3 + 3*o - 4. Let k(x) = 9*h(x) - 4*m(x). What is the second derivative of k(w) wrt w?\nAnswer: -260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17591 and 9.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 385553, 385554, 385555, 385556, 385557, 385558?\n\"Answer: f + 385552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*2\/12*(-726)\/(-7865)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -82*w + 9. Let k be o(-7). Let z = k + -380. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -27*d - 3. Let j be z(-1). Suppose v - j = -3*v. Let i(a) = 6*a**2 - 3*a - 11. Is i(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 28457677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 5*b - 8. Let o be s(-8). Suppose -w + 4*w - o = 0. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q**2 + 1. Suppose 0 = -7*f + 3*f + 4. Let n be u(f). Is n + ((-36)\/4)\/(-3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4131, 4817, 5503?\n\"Answer: 686*h + 3445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/5 - 94*d\/5 + 36 = 0.\nAnswer: 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 + 0*g**2 - 99*g + 105*g - 2. What is n(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -452, -873, -1288, -1697?\n\"Answer: 3*n**2 - 430*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 6*r - 3. Let c be i(-6). Let o = c - -6. Suppose 0 = -3*l - 5*a + 53, 0 = -3*l - o*a + 8 + 55. Solve 0 = 2*x + 1 + 9, 4*x + l = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.059 and 351499.\nAnswer: -20738.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 5*d**2 + d - 2. Suppose c = 2 + 3. Let r be z(c). Let s = r - -3. Solve -o = -5*o + 5*a + 7, 0 = 2*a + s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 6 - 46*m**2 - 9 + 1000*m**5 + 1 - 181*m**5 wrt m?\nAnswer: 49140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 + -e?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-2*(-2)\/(-54)*-3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*k + 29 - 84 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 1)*(0*b**2 + 3*b**2 - 2*b**2 + (b**2 - 2*b**2 + 2*b**2)*(361 + 81 - 86)) in the form n + p*b + x*b**2 and give x.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(2\/3) - 20. Let c = 17 + h. Solve c = -m - 2 + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 1. Let a be p(-1). Suppose a*k = 5*k - 21. What is k rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23939 by 37.\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 40 - 24 - 13*m - 24.\nAnswer: -13*m - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/8 and 23\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m**2 + m - 8. Let r be c(0). Let s = r - -9. Let b = -1987 - -21885\/11. Find the common denominator of b and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -295 - -493. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -44, -32, 0, 58, 148?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + -4 + 4 - (0 - 0)) + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 53*o - 26. Let p be y(-27). Let s(i) = i**2. What is s(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 3*h**2 + 6*h + 6. Let v be s(-3). Let w be -3*(-3 + (-44)\/v). Let y(i) = -2*i**2 - 4*i - 2. Give y(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -290 + 313 - (-3 - 2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-2) - 1\/(-2). Solve m = -0*m - o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 13\/30, -14030?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 + 2*q**4 + q**4 + (3*q + 3*q - 3*q)*(0*q**3 - 3*q**3 + 5*q**3) + 1 - 1 - q**4 + 0*q**3 - 2*q**4 + 0*q**3.\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 1.1. Let l = 48\/5 + -9. What is the nearest to -0.1 in i, 0.04, l?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-16) - (-64)\/18944*-185?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a. Suppose a = 3*l + 8 - 29. What is the second derivative of -d**2 + l*d**2 + 5*d**2 - 5*d**2 - 4*d wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 0 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19492 divided by 4?\nAnswer: -4873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 13. Let z(g) = -2 + 6 - 4 + g**v. Let j(t) = -3*t + 10*t + 5*t + 0*t. Calculate z(j(p)).\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101010100010101 (base 2) in base 5?\nAnswer: -10243232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 172*b. Let d(x) = 16*x - 793. Determine d(q(p)).\nAnswer: 2752*p - 793","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**8\/25200 - n**7\/1575 - n**6\/225 + n**5\/30 - 3*n**2. Let u(r) be the third derivative of l(r). Solve u(k) = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/15 - 4\/(40\/(-6))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 221100131 (base 4) to base 6\nAnswer: 3342205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2302.19604ns?\nAnswer: 0.0000000000266457875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 12*h. Let f(m) = 4*m. Calculate -8*f(l) - 3*w(l).\nAnswer: -3*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37498 + -1537278\/41. Let k = u + -3180\/451. Find the common denominator of 33\/5 and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -211\/138?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + 869*j + 92191. Give s(-184).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/49 - 110\/147. Let z = -2.1 + 2. Which is the nearest to z? (a) k (b) -2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/35)\/(-3) - 27\/(-135). Factor 22\/7*z + m + 8*z**2.\nAnswer: 2*(4*z + 1)*(7*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-222 - -151) + 134 + 82.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5963200?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 1 + 71 = 0. Solve 7*h = i*h + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**4\/28 - 8*o**3\/21 + o**2\/14 + 8*o\/7 + 8. Factor m(c).\nAnswer: -(c - 1)*(c + 1)*(c + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 9*u - 3. Let q be (-2)\/3 - 40\/(-6). Calculate y(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*i**(-17)\/i)\/i)\/i)**(-17))**(-16))**(26\/5) assuming i is positive.\nAnswer: i**(-134368\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 234*z + 18 = -230*z, 4*m = 2*z + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-37 + 2 + 1). Suppose 2*y = -0*y + x. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 + 56 + 4 + 42\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101960042.2 rounded to the nearest 1000000?\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25400 and 134600.\nAnswer: 17094200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q + 1. Let p be z(-1). Suppose -t = 3*t - a + 4, -p*t - 4*a + 16 = 0. Suppose -6*h + 3*h + 60 = t. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11601 - 9726. Calculate the smallest common multiple of 45 and h.\nAnswer: 5625","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t = -4. Is 2 - (-289 + 0) - t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + -2 + 1 + 144 + -135.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8. Let a = w - -4. Solve u + u - q + a = 0, 8 = 4*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95750 is divided by 94851?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -21. Let v be (-4 - (-2 - t)) + 11. Suppose 3*p = -3, 0 = -q + 4*p + v + 13. Calculate the greatest common factor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 + -1.5. Suppose -3*q + 5*q = 0. Let d(v) = -v + 3. Let i be d(q). Which is the nearest to 3? (a) o (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10712600 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(-4 + 14*z - 12*z - 1) to s + g*z and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 2, 31\/12, -2?\nAnswer: 31\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/328, -2\/201, 0.01.\nAnswer: -2\/201, 3\/328, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*a**2 - 25*a**2 - 4*a + 4*a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 9:58 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -37429 (base 12) to base 13\nAnswer: -28137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/4 of a century?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - c = -20, -3*c + 4 = -5*f + 6*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 19, 25, 35?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3 - 3. Let k be (-2)\/(-12)*b*2. Let o = 3 + k. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 - 113*q + 143. Calculate z(-39).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (180\/(-50) - 8\/(-2))\/(-2). Let q = 30 - 43. Let n = q - -10. What is the biggest value in 2, y, -2\/7, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/8 + 9301*j**3\/8 + 370477*j**2\/8 + 342579*j\/8 - 361179\/4 = 0. Calculate j.\nAnswer: -9261, -39, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10518 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:25 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 3*g**2 + 151*g - 588. Let d be o(4). Put 7, 2, d, 5, -1 in decreasing order.\nAnswer: 7, 5, 2, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18305 - 3977. Suppose -16*c + h = 4936. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k + 3. Let m be a(-7). Let o be ((-40)\/m)\/(4\/10). Solve 2*w = -4*h - 3*w, 5*h - o*w - 41 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffowowwfdfflff. What is prob of sequence lwd?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 72374*p - 506731. Calculate q(7).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/169915 or 0?\nAnswer: 2\/169915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 30*f. Suppose -2*o + 3023 = -3*u, -3*o + 5*u + 4535 = -0*o. Let k(r) = -1510 + o - r. What is t(k(d))?\nAnswer: -d**2 + 30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1 + sqrt(405))*6)**2 + -4 + (sqrt(40) + sqrt(160)\/sqrt(4) + sqrt(40))\/sqrt(8).\nAnswer: -645*sqrt(5) + 14607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -237*q - 9 - 11 - 10 - 11 + 243*q as i + z*q and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -383450099736 + 63.\nAnswer: -383450099673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 219428.6 to the nearest one hundred.\nAnswer: 219400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -935, -1874, -2815, -3758, -4703, -5650?\n\"Answer: -j**2 - 936*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 4*k. Let q be h(3). Let b(f) = f**3 + 4*f**2 - 9*f + 19. Let p be b(-6). Let x = q + p. Calculate the smallest common multiple of x and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 2, 888, 4, -3, 3 in descending order.\nAnswer: 888, 4, 3, 2, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.943 + 17. Let w = n + 0.022. What is w rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 3474.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 7*q - 2*q)*(-68 + 1093 - 1939*q + 1941*q).\nAnswer: -16*q**2 - 8200*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Suppose g*f = 4*f - 4. Differentiate -8 + 2*k**f + 6 + 0*k**2 wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 873 in 0.2, 0, 2.7, -2\/5?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 15. Let o be s(11). Suppose -5*q - o*m = -26, q - 5*m + 26 = 4*q. Solve q*a = -0*a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 188\/15 + -2153\/240. Calculate the common denominator of d and -33\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(((2*sqrt(171)*-2 - sqrt(171) - sqrt(171))*1)\/(3*(sqrt(81)*-3 - sqrt(9))))**2.\nAnswer: 57\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -646, -3, 2 in descending order.\nAnswer: 2, 0, -3, -646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u + 27*u - 3*u)*(-12 - 27 + 212) to the form k + i*u and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 182511? (a) 2\/3 (b) 0.3 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3038821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -14*j + 2. Suppose -4*k = 5*g - 43, -2*g = -9 + 19. Suppose -4*y + m = 1, -5*m + 8 = -k. Give t(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -1 - -1 - 12 - 55 - -1.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2798978.1 to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -1 + 5*x**2 - x**2 - 6. Let o(i) = -2*i**2 + 3. Let a be 7*-2*(-3)\/30*-5. Let c(r) = a*o(r) - 3*j(r). Factor c(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106454539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -12133?\nAnswer: -12112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*a - s + 3*s + 3*s - s - 643 = 0, 75 = -a + 2*s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -407*b + 1724*b + 2244*b - 809*b + 6*b - b + 0*b + (-6 + 3 + 4)*(-1 + b + 1) to i + o*b and give o.\nAnswer: 2758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 162\/(-135)*(-10)\/(-4). Let v be (-22411)\/g - 12\/36. Round v to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 71119.\nAnswer: -71119.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 1 + (2 - -19). Suppose n = 3*o - v - 59, n = 5*o - 132. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3064*a - 15*a**2 + 1530*a - 2 + 1533*a to the form u*a**2 + c + x*a and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2758 (base 16) to base 13\nAnswer: 477a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5\/17 - 300*g**4\/17 + 3352*g**3\/17 - 5520*g**2\/17 = 0. Calculate g.\nAnswer: 0, 2, 10, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/18*(-3)\/2. Calculate the smallest common multiple of 9 + (-6)\/(6\/u) and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 + h**2 + 9*h + 17. Calculate the smallest common multiple of c(-2) and 76.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.034 + 3750.6\nAnswer: 3750.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1977 - 1980. Sort -7, -16, 5, q in descending order.\nAnswer: 5, q, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 4*l - 13 = -11*m, -3*m + 5*l = -29 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 221328 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5908 (base 15) to base 3.\nAnswer: 221221022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -5, 4, 70?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t**2 + 49*t + 81. Let l be b(-3). Solve 12 = -j + 3*k, 19 = 2*j + k + l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1520)\/(-475))\/((-1)\/(-5)). Let r be -5 + (x - (-2 - -1)). Solve -r = 60*d - 64*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.38 * -1.12.\nAnswer: -2.6656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 7204?\nAnswer: 21612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -21. Suppose 4*o - 3*o = -16. Let b = c + o. Solve -y - b = 2*y + 3*t, -5*t = 4*y + 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6481198.\nAnswer: 2, 41, 79039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 7.1. Let t = -184\/3 - -60. Which is the biggest value? (a) -5 (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93651975 divided by -18730395.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1045 + 32*r + 1045 in the form x + q*r and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-8) + 0)*-6. Let d(w) = 32*w**2 - w - 2. Is d(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -65210\nAnswer: -1\/13042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(((-3)\/(-8))\/(12\/8)). Find the third derivative of -27*a**y + 7*a**2 + 0*a**3 - 2*a**3 + 8*a**2 wrt a.\nAnswer: -648*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 20110394*x + 101106986708809.\nAnswer: (x + 10055197)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + 0)*3)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 + p + 11*p**2 + p**3 - 2*p**4 + 2 - 3*p**2 - 2*p**2 in the form m*p**3 + o*p**2 + u*p + b + w*p**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - (23 - -32)) + -6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.91083 and 397.\nAnswer: 393.08917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -605 + 332. Let p = m - -439. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*m**2 - 9*m**2 + 22*m**2 - 2*m + 12*m**2.\nAnswer: 48*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30d (base 15) to base 10.\nAnswer: -688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence peep when four letters picked without replacement from peppppppeeppppeppp.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 + 0.41. Let z = q + -6.5. Round z to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 59 = 269. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-5472)\/(-665))\/(-32))*(-24)\/(-14)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 - 13 + g + 2*g + 3*g**2 + g. Let p = -478 - -489. Does 26 divide x(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -739*y + 273*y + 197*y + (-7*y + 3*y - 4*y)*(-2 + 2 + 2).\nAnswer: -285*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007955868 rounded to 6 decimal places?\nAnswer: -0.000796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g - 4*g - 2*g**2)*(-6*g + 4*g + 4*g) + (-3*g**2 + g**2 + 0*g**2)*(0*g + 0*g + 2*g) as i*g**2 + v*g + q*g**3 + n and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*t = 0, -4 = -4*t + 8. Suppose 17 = u - 0*u - p*l, 0 = 2*u - l - 43. Find the common denominator of -109\/22 and (-3 - (-284)\/96)*u.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3484 + -248. Let o be w\/(-8)*16\/(-60). Let j = o - -124. What is the biggest value in -2, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67169.69 days in hours?\nAnswer: 1612072.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/81)*g*g\/(g*g\/g**(3\/25)) assuming g is positive.\nAnswer: g**(193\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 19 = -0*b + 3*b, -b - 5*d + 27 = 0. Solve 1\/4*l + 0*l**b + 0 - 1\/4*l**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6110 + 6535. Which is the smallest value? (a) 1 (b) z (c) -0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2. Let b(r) = 162*r + 1. Let j be b(2). Suppose -c - 5*o + j = -o, -2*c + 2*o = -620. Let w(i) = -7*i**2 + 23*i**2 - 313*i + c*i. Give h(w(l)).\nAnswer: 256*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -167571*w**3*x + 978290*w**3 + 2*w*x wrt x.\nAnswer: -167571*w**3 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/3 - 32652532*r\/3 = 0. What is r?\nAnswer: -16326266, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by ((-120)\/(-6) - 5) + 7.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -1. Suppose 0 = i - r - 22. Suppose 0 = h + 4*h - i. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -10.83. Let k = -0.13 - f. Let h be (-8)\/(-16) - (-17)\/(-10) - -1. Which is the nearest to h? (a) 1\/2 (b) -2\/13 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.3 (b) -14 (c) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89906278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*f**5 + f**3 + 6*f**4 + 8*f**3 + 41*f**5.\nAnswer: -3*f**3*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*w + 2*j + 3*j, 4*w - 4 = 4*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*w - 12 = 0, -8 = -4*w + 4. Suppose 5*v - 5*z - 15 = c, v - z - 12 = -3*v. Let u = 425 + -429. Put v, u, 1\/6 in decreasing order.\nAnswer: v, 1\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -58. Let l = -28 + z. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2\/9 - 30714073*o\/9 = 0.\nAnswer: 0, 30714073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -104b28 (base 16) to base 8\nAnswer: -4045450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/19, -2\/56919, -4519?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 5*d + 5 = 15*w, -3*d - 19 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/5 (b) 194\/7 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(27\/189)\/(((-4)\/(-14))\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4779 = -184*b - 6619 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 812\/232*(-7)\/(49\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 7, i: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/191, -3.\nAnswer: -3, 1\/191, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 18. Suppose s = v + 3*v. Let g be ((-64)\/(-6))\/(v\/(-3)). Round g to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 10. What is the common denominator of 8\/(2\/m)*2\/9 and 1\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5330\/2870)\/(2\/14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 4*g - 2320. Let x be (-15)\/((-120)\/g)*-1. Calculate the greatest common divisor of 145 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21808756.\nAnswer: 2, 17, 137, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172340?\nAnswer: 2, 5, 7, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -492*y + 489*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = 1. Suppose c = -i*c + 48. Let t = 2 - -33. Calculate the remainder when t is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 748, 726, 706, 688, 672, 658, 646?\n\"Answer: z**2 - 25*z + 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6688\/295 - 1314\/59. Is -1772 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k**3 + 4*k**3 + 2 + 7*k**3)*(6*k - k + 9*k).\nAnswer: 14*k**4 + 28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 50\/3*g**4 + 0 + 0*g**3 + 0*g + 2\/3*g**5 + 1\/120*g**6 + 21*g**2. Let h(z) = 0. What is z?\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000376065743 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2496))\/(sqrt(300)*-2).\nAnswer: -4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/28*2)\/(1\/166) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1672)\/(-161975)*(-100)\/(-16).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/2*(-18)\/(-4 + 1). What is the greatest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 59. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**5\/60 + t**3\/2 + 2*t. Let y(b) be the second derivative of c(b). Let k(v) = -6*v. Calculate k(y(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -1, 0.02, 1\/12, -0.2118?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4051.\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5811*h**3 + 273 - 4*h - 160*h**2 - 5809*h**3 + 162*h**2 in the form p*h**3 + w*h + g*h**2 + k and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z**3 + 135*z**2 + 139*z + 2015. Calculate u(-15).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -707.5 - -652. Let j = 50.5 + y. Which is the biggest value? (a) -3 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12454434 (base 10) to base 12.\nAnswer: 4207516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -1303.5.\nAnswer: -391.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.60778 litres in millilitres?\nAnswer: 14607.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 518 + -521. Let k = 10 - 16. Let i = k + 2. What is the closest to 2\/3 in g, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-30 - -13) - (0 + (0 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*h - 15. Suppose c = n - 5*n - h, -4*c + 21 = 5*n. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+104758\nAnswer: 104758.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 484.8009g?\nAnswer: 484800.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 3:08 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42768 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122 + -111001?\nAnswer: -121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -d, -11*d - 15 = -2*u - 14*d. Let v = 21 - 13. Suppose u = -3*z + z + v. Solve -5*j - z*x + 35 = x, 2*j - 16 = -3*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 = 7*x - 229 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 5*u - 10, 3*o - 6 = 8*o + 3*u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - ((-54)\/14)\/3. Suppose 31 - 1 = -4*c + 2*p, 5*p = -2*c + 15. What is the third biggest value in d, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z + 16. What is x(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from ljlscssllsl.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40 - 6*a**2 - 40 + a**2 + 0*a**2 - 3*a**2 + (2 - 2 - a)*(-3*a + 5*a + 0*a) - a**2 + 2*a**2 + 0*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b3 - -3b7?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -843 - -3415\/4. Let u = 2186\/5 - 5314186\/12155. Let y = 201789\/9724 + u. Find the common denominator of z and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1125*q - 21711 = 14788 + 55751 for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.5 + -951006871?\nAnswer: -951006907.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25236403?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01108611 rounded to five dps?\nAnswer: 0.01109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 87 + 0*s - 5\/2*s**2 + 15*s**4 + s**3. Find the third derivative of w(a) wrt a.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 998, 683, -178, -1855, -4618?\nAnswer: -8737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1231197 is divided by 160?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -49\/2. Let b be 3\/3 + 0 + 0. Let n(c) = c. Let y be n(b). Which is smaller: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679706459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = 0, 2*d - 4 = 4*i + 6. Let p(l) be the third derivative of 4\/3*l**d - 2*l**2 - 1\/15*l**5 + 1\/6*l**4 + 0 + 0*l. Solve p(z) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**8\/14 + 2*l**4\/3 - 3*l. What is the third derivative of n(v) wrt v?\nAnswer: -480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and -8921669.\nAnswer: -8921657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*t + 332*t = -4747 - 46254 - 32039 for t.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/7)\/(6\/(-14)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -25*g**2 + 2290*g - 17845 = 0?\nAnswer: 43\/5, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - -47) + 7\/(-2)*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*n + 2 - 3 = 0, -21 = -4*k + 5*n. Let a(v) = v - k*v + 13*v. Let i(h) = -2*h. Calculate i(a(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20146*w**3 - w**2 - 11*w - 41?\nAnswer: 120876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/19?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g - 389 = -864*g - 532*g - 13322 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 2. Suppose 45 = -1642*c + 1633*c. Let a(o) = -9*o + 23. Let r(n) = 3*n - 8. Let u(g) = 6*a(g) + 17*r(g). Calculate c*v(m) + 6*u(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45217a3 (base 12) in base 13?\nAnswer: 2983c50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 54 = -3*k, 3*n - 106 = -n + 5*k. What is the least common multiple of n and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*a + 15, -y = 2*y. Suppose -9 = -0*l - a*l. Suppose 0 = 2*d - l*d + 32000. What is d rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, c: 3, m: 1, j: 2, x: 6, w: 4}. Give prob of sequence csc.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, m: 2}. What is prob of sequence mmg?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 1:17 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 139623.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0.98, 0.4, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*f**2 - 525\/2*f + 1047\/4.\nAnswer: 3*(f - 349)*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2. Let c be n(-1). Calculate the remainder when 135\/c*1\/(-3) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 24.959, 0.3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-37)*626040\/11280\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1000 and 142250?\nAnswer: 569000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**4*y + 3*o**4 - 20*o**3*y + 160*o**2 + o*y wrt o?\nAnswer: -48*o*y + 72*o - 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -30544?\nAnswer: -30552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 13*n + 13. Determine z(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/135328 and 61\/360.\nAnswer: 6089760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) 3\/7 (c) -0.5 (d) -35 (e) 1\/7 (f) -0.1 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151536 = -37*u - 7*u - 79*u. What is the greatest common factor of u and 3872?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*r**3 + 208*r**3 + 160*r**3.\nAnswer: 442*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*h = -63, -17*k - h = -21*k + 153. What is the greatest common factor of k and 294?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2521*b = -3*n + 2*n + 2518*b - 16, 10*n = -2*b - 104 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33618314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 7:04 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10b3fa8 + 4?\nAnswer: -10b3fa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/28 + (-5)\/(-14)*(-20)\/(-50)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4679 or -4678?\nAnswer: -4678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 1. Let j be i(1). Let f(o) = o**2 + 4*o + 5. Let r be f(j). Let u(k) = 2*k - 3. Give u(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 7498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/5 + -4 + (-2035)\/703. Let s = 659\/8 + -82. Which is the fourth smallest value? (a) f (b) s (c) 1\/4 (d) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 2)\/(3\/(-9)). Suppose 2*f = -2*u, 2*u - 5*u = -f - 16. Sort 1, j, u.\nAnswer: 1, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -1. What is the second derivative of 31*z + h*z - 24*z + 21*z**4 wrt z?\nAnswer: 252*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 5:12 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -109, -220, -331?\n\"Answer: -111*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-676)\/(-48))\/13 - 1\/3. Which is the third biggest value? (a) 5\/3 (b) 3 (c) f (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -110614 (b) 4 (c) 0.06 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**2 + 110 - 110. Let g(h) = 7*h**2. What is g(y(p))?\nAnswer: 175*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-45.\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/(-49))\/10*14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (0 + 18 - (143 + (-217 - -141)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2*a)*(-2*a - 3 + 3) + (-319 - 3*a + 319)*(-5*a + 2*a + 2*a) - 3 + a**2 + 3)*(-2*a**3 + 0*a**2 + 0*a**2).\nAnswer: -16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -39 - ((-2 - -42) + -50)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51044 is divided by 11569.\nAnswer: 4768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1100*q**3 + 334*q**2 + 14*q + 14. Let g(b) = -367*b**3 + 112*b**2 + 5*b + 5. Let f(d) = 14*g(d) - 5*p(d). Find the third derivative of f(n) wrt n.\nAnswer: 2172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 7:43 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 2, 4\/9, 13\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/(w**1\/w))*w)\/((w**(4\/3)*w)\/w))\/(w*w**(-5\/2)*w\/(((w\/(w\/(w\/(w\/(w**(-14)*w)))))\/w)\/w)) assuming w is positive.\nAnswer: w**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbrbbb. Give prob of picking 3 b.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 - (1\/5 - -1)*2900\/232.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 1. Let v be q(-1). Suppose -11 + v = -k. Let z = k + 14. What is the remainder when 71 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g - 3*g)*(8*g**3 - 9*g**2 - 5*g**3 - 5*g**3).\nAnswer: 2*g**4 + 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 10*m**2 - 10*m - 4. Calculate s(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76366656.\nAnswer: 2, 3, 197, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 25 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f**2 + 3*f**2 + 0*f**2)*(7*f - 8*f + 29*f) + 383*f**3 + 177 - 177 in the form r*f**3 + x + p*f + t*f**2 and give r.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1458\/1701)\/(9\/7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*h + 182*h + 33*h - 94*h.\nAnswer: 228*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0583936 and 119362.258.\nAnswer: 119362.1996064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.094 and 6229?\nAnswer: 6814.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -3, 0, -8 in descending order.\nAnswer: 3, 0, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 15*s**2 - 126*s + 8. Give m(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 12*s**2 - 21*s + 15. Let i be w(10). Suppose 0*u - 4*u = 5*f - 210, i*u - 84 = -2*f. What is the highest common divisor of 28 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 5*u + 16, 0 = -5*z - 3*u - 45 + 59 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvaaapapepa. Give prob of sequence aapp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 + 101*u**2 + 26*u + 1273. Let w be j(51). Let y = 354.07 - 356. Let l = -2.1 - y. Put l, -5, w in descending order.\nAnswer: l, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 8) in base 4?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20022122212 (base 3) to base 5.\nAnswer: -12440122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (468\/30)\/(-3) - 90\/50\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 14*a**3 + 3*a**2 - 3*a + 13. Let j(b) = -13*b**3 - 2*b**2 + 2*b - 14. Let z(y) = 3*j(y) + 2*k(y). What is the derivative of z(i) wrt i?\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -298038 + 3278448\/11. Factor 56\/11*c**2 + z*c + 4\/11.\nAnswer: 2*(4*c + 1)*(7*c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*q**3 - 28*q**3 + 7*q**3 + (-2*q**2 - 3*q + 3*q)*(q - q + q).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 978 = 2*z, -446*a + 2466 = 5*z - 448*a. Is z at least as big as 993\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((0 - -2) + -3). Let t(f) = f + 26. Let x be t(q). Let p = x + -7. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 222.478 + -223. Let k = s + 0.822. What is the second biggest value in 61, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 - 2*a - 6. Let j(o) = -3*o**3 + o**2 + 2*o + 8. Let q = -118 - -115. Let i(x) = q*j(x) - 4*f(x). Factor i(v).\nAnswer: v*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.186 - -20.386. Let d = -20.5 + x. Is -0.03 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68942100 a multiple of 1850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12504 and 3717856?\nAnswer: 11153568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*((sqrt(117) - (sqrt(117) - (-1*sqrt(117) - sqrt(117)) - sqrt(117))*-3 - (sqrt(117) - (sqrt(117) - 2*sqrt(117)*4))) + -3))**2.\nAnswer: 5832*sqrt(13) + 40824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/14 and -29\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(-4*sqrt(20)\/sqrt(4)))**2 + sqrt(2048)*2 + -1.\nAnswer: 1 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-408)\/30 - -14)\/(12\/90). Put 129, 14, 1, k in decreasing order.\nAnswer: 129, 14, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (8 + (1 - 3 - 5)) - 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 33*l**3 - 57096*l**2 - 103932*l + 20784 = 0.\nAnswer: -2, 2\/11, 1732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 51 = 9*i. Let m be (17\/i)\/((-2)\/18). Which is the nearest to -4? (a) -4 (b) 2\/11 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -320*k - 320*k - 316 + 1257*k - 314*k - 312*k to f*k + w and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/8 - 111*a\/4.\nAnswer: -3*a*(a + 74)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154512 and 80736?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 27*h - 185. Let f = 11912 + -11926. Calculate l(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23320107047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -11*n**6\/320 + 13*n**5\/160 - n**4\/32 - 35*n**2. Let v(q) = 0. What is q?\nAnswer: 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - -1*-2*sqrt(88)) + 1*sqrt(88)*4)\/(sqrt(200) + (sqrt(200) - 6*1*sqrt(200)) + sqrt(200) - (-1*sqrt(200)*-3 + sqrt(200))))**2.\nAnswer: 99\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*2282\/4238*1*6\/(-63)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40295 - 1370125\/34. What is the common denominator of (-369)\/(-480)*3115\/1869 and q?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26140661 to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/((-14)\/(25718\/(-33))). Is -335 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 727 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*b**5 - 65*b**2 + 73*b**2 + 14*b**5 + (-b**4 + 2*b**4 + 0*b**4)*(-1 - b + 1).\nAnswer: 24*b**5 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3 - 29771*q**2 + 222778915*q - 17850296025 = 0.\nAnswer: 81, 14845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1100010100011010001110?\nAnswer: -1100010100011010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -236470260 divided by 5?\nAnswer: -47294052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14942*t**4 + 96*t**2 + 3011840*t wrt t.\nAnswer: 179304*t**2 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159371228 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/2 - (0 + 0). Suppose -3*f - 3 + 39 = 0. Suppose -3*g = -f, z*g + g + 352 = 4*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 475a?\nAnswer: 475b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9258, -9259, -9260, -9261, -9262?\nAnswer: -9263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10210 (base 5) to base 6\nAnswer: -3052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-340)\/(-272) - (3 - -1 - 7124\/2288)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -11*l**3 - 3*l**2 + 3*l + 4. Let k(z) = 55*z**3 + 15*z**2 - 16*z - 21. Let b(x) = 2*k(x) + 11*t(x). Let v be b(-1). Solve 3*d = 6*d - v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + v - 34, 4*u - 2*v - 33 = 27. Solve p + 3*y = -3*p - 22, 5*p = 2*y - u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 = m, -8*m + 7*m - 2 = 0. Suppose 0 = -t - 3, 8 + 5 = c + o*t. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32 and -73\/1321032.\nAnswer: 1321032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r + 15*r + 12*r**3 - 2*r**2 - 7*r + 7 + 2*r**2 to the form h + z*r**2 + i*r + n*r**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1058 and 690.\nAnswer: 15870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 - 53*z**2 + 25*z + 29. Let p be c(26). Solve -2*s + 5*b - p = 14, s - b + 1 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5337332 divided by -22\nAnswer: 242606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z - 4. Let r(x) = -4*x + 1. Let f be r(-2). Suppose -f*b + 20 = -7*b. Calculate the remainder when b is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250484987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837928461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(108)*-1 - sqrt(108))**2.\nAnswer: -72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-85)\/(-15))\/(-17))\/(((-10)\/(-225))\/((-432)\/90))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1849*a + 1843*a + 3*a**2 - 3690*a. Let f(m) be the second derivative of -m**3\/6 + m**2\/2 - 2*m. What is c(l) + 2*f(l)?\nAnswer: 3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 58*p**3 - 5*p**2 + 10*p - 10. Is d(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -4) + 0 + -3 + 2 + -53 + -4\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -140462\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 943820 and 20500.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23619 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2*34)\/((-4)\/(-4)). Suppose 0 = g + 4*n - q, -3*n - 2*n = -25. Suppose -2*r + g = r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 208 = 5*i, -r - 2 = -i + 27. Calculate the remainder when 2190 is divided by i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5510 = -4*m - 25938, 2*h - 8191 = -5*m. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 21*h**3 + 5*h**2 + 14*h - 11. Let d(z) = 5*z**3 + 4*z - 1. Let p(i) = 4*d(i) - s(i). Calculate p(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.4921 * -771\nAnswer: -5776.4091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (6 - (6 + -1 + -5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus -13276211?\nAnswer: -13276217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5285281.\nAnswer: 5285281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -4 + (-10)\/(-1). Let m = 13 + h. Calculate the remainder when 44 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32020 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53140, -53911, -55198, -57001, -59320, -62155?\nAnswer: -65506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v - 3*m = -19, 5*m = 5*v + 15. Is (v + -3)\/((-1)\/11) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 83 + 26)*(-3*h**2 - 2*h**2 + h**2) + (-h + 0*h + 0*h)*(-1 - h + 1).\nAnswer: 245*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*i - 14. Let x be (i\/(-18))\/(2\/(-44)). Let p be 2 + 3 + x\/(-11). Solve 5*b + 20 = -p*m, 0*m - 5 = m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2972204 or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*i - 3*g - 2, -12 = -5*i + 3*g. Let r be (-2)\/2 + 53 + -10. Suppose i = 8*p - 11*p + r. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -58. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 75 = -2*z. Let j = -32 + z. Let n = -12 - j. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.783183 - -2.\nAnswer: 3.783183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t**4 - 2*t**4 - 162 - 819*t + 149 - 408 + 818*t to f + z*t**4 + w*t**2 + n*t + h*t**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(2 - 57\/24). Suppose -3*d + x - r = -4*x, 3 = -4*d - 3*x. Let l(w) = -5*w**2 - 3*w + 4. Let h(t) = 9*t**2 + 5*t - 7. Give d*h(i) - 5*l(i).\nAnswer: -2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13442 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -53581\nAnswer: 10\/53581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7 + 3*y**2 - 4 - 1 - y**2 - 17*y. List the prime factors of t(12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 119350*k**4 + 372345*k**3 - 412485*k**2 + 30880*k - 240 = 0.\nAnswer: -4, 3\/341, 1\/14, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**3 + 22*c + 10 + 33\/2*c**2 + 1\/2*c**4 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 6*k + 78 = 0, 4*z - 116 = -5*k - 60 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5419a5 (base 12) in base 5?\nAnswer: 320032003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 11*a - 5. Let d be -1*(1 - 31)\/(-3). Let q be u(d). Suppose 4\/9*y**4 - 4\/9*y**2 - 10\/9*y**q + 0 + 10\/9*y**3 + 0*y = 0. What is y?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 136\/(-36) - 4\/18. Let q be i\/26 - 82\/(-26). Let h be 345\/138*12\/10. Solve -q*v + 0 = h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000226953 rounded to seven dps?\nAnswer: 0.0000227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 20 = 5*x - 3*y, 5*x = -y - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 427304 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 t, and 1 o when three letters picked without replacement from {a: 1, o: 1, p: 2, t: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7521468 = -663021. Let t = o + 194578328. Suppose 0 = -7*u + 127235523 + t. What is u rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 6 - 32 - -18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63.033 - 63. Let g = f + 12.467. Let n = g - 12. Sort n, -3, -1\/8 in increasing order.\nAnswer: -3, -1\/8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20662.\nAnswer: 2, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 20 = j + 4*j, 0 = -3*m + 15. Let i(s) = 143*s**2 + 14. Let n be i(j). Suppose -4*w - 3*w + n = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2359994 - 0.236. Round j to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 + 127. Calculate the highest common factor of o and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2299981 is divided by 766660.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10*u**2 - 93*u + 688. What is n(5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b82 (base 16) in base 8?\nAnswer: -55602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -4) + 16 - 9\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/25*(0 + -30). Suppose -6 = 5*h - d. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -457992 - -779351. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 70742745 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 344*g + 6329. List the prime factors of q(104).\nAnswer: 3, 5, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 2, 11 in increasing order.\nAnswer: -4, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1235 (base 6) in base 4?\nAnswer: -10313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + (-5 - -1) - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 183, 569, 1325, 2577, 4451, 7073?\nAnswer: 10569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*r - 11222 - 5529, -2*r = -4*p - 6706. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + 0 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1582606 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 times -2100\nAnswer: 4830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 8. 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: Simplify ((o\/(o*o**(-1\/12)\/o))\/o*o*o**(-1))\/(((o*(o**(-2\/9)\/o)\/o*o)\/o)\/((o*o*o\/(o**(-5\/3)\/o*o))\/o*o)) assuming o is positive.\nAnswer: o**(215\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 191*f**2 + 965*f - 21. Give b(-6).\nAnswer: 1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2427 - 12.3.\nAnswer: -2439.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -412 * -2.1\nAnswer: 865.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 7\/2, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105101704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*b = -113, 0 = 7*z - 4*z - 2*b - 69. What is the remainder when 298 is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.53 + -119.53. Let t = 117.00000195 + r. Round t to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -302.94, 4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*r = -389, -2*n + 6*n - 767 = 5*r. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -102642 smaller than -0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/3*4\/8*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (69\/15 + -3))\/(789\/(-13150))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -14) + -2 + -1 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0413, 1, -4, -0.63 in descending order.\nAnswer: 1, -0.0413, -0.63, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 71471207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -31, -4, -9 in descending order.\nAnswer: -4, -6, -9, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v. Let o(i) = 3254*i**2. What is k(o(b))?\nAnswer: -9762*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/7 - 53800*k**2\/7 - 1074400*k\/7.\nAnswer: -4*k*(k + 20)*(k + 13430)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*z**2 + 11*z**2 + 3*z**2 + 15*z**2 + 34 as k*z**2 + n*z + p and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q. Let z(f) be the first derivative of 0*f**3 + 0*f**2 + 1\/12*f**4 + f - 1. Let s(m) be the first derivative of z(m). What is s(x(p))?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*x - 43*x = -5*k + 527, -3*x = 3*k - 318. Solve -k*c + 488 = 76 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1316 (base 10) in base 13?\nAnswer: -7a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 556 + 158. Let o = s - 714.1. Let j = 1\/575 + -5757\/4025. What is the second biggest value in 3\/5, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 42*a**3 - 35*a**2 - 17*a + 5. Let v(l) = -21*l**3 + 18*l**2 + 9*l - 3. Let n(t) = 3*k(t) + 5*v(t). Determine r, given that n(r) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13513 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 20, 0, 2\/9, -0.5 in decreasing order.\nAnswer: 20, 2\/9, 0, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.81 + -2?\nAnswer: 276.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*x - 1 - 65*x + 0.\nAnswer: -117*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 15 = 2*g - 5, 3*d = -12. Calculate the greatest common divisor of g and 5802.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 3. Let r = 52.1 - 45. Let m = r + -7. What is the nearest to m in w, 1\/6, 0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(7\/42)\/((-6)\/63).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47.4 + -49.4. Let n = 13 + -18. Which is the closest to 1? (a) 3 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26555557?\nAnswer: 7, 61, 62191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 3)*14\/(-4). Let v(u) = -u**2 + 6*u - 5. Let y be v(6). Sort y, -3, g in descending order.\nAnswer: -3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1708*j - 1709*j = -5*c - 9, -2*c + 4*j = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3 + 6*l - 3 + 3*l - 4*l - l + l + 3*l - 3*l + (-1 + 1 - 1)*(2*l - 2*l - l) + l + 2*l - l.\nAnswer: 8*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 62 + 85*c - 17)*(-4 + 6 - 1 - 4 + 2 + 0 + (0 - 3 + 2)*(-4 + 4 + 2))*(1 - 2 + 0).\nAnswer: 255*c + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 4098 and 66 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7004477 (base 8) to base 14\nAnswer: 35b851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250, -117, 16, 149?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(14) - (sqrt(56) - sqrt(14)))*5)\/((sqrt(84)\/sqrt(4))\/sqrt(3)) + 1*((sqrt(648) - sqrt(648)*1)\/(2*sqrt(225) + sqrt(225)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 79730?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1979814024.\nAnswer: 2, 3, 2801, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 2*c = 2, 3*g + 5*c - c - 14 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1193 - 4.1193. What is the nearest to v in -1, 0.06, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*w**3 + 13*w**3 - 20*w**3 + (0*w**2 + 2*w**2 - w**2)*(w + 0*w + w).\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1547931780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277 = -28*d + 211 - 242 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 63227952 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-10))\/(71\/1704)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1903307885?\nAnswer: 5, 380661577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2721 + -3162. Let f = -5886.109 - j. Let i = -0.169 - f. What is i rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000644 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 83350 and -1367515073.\nAnswer: -1367431723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h - 3. Suppose -40 = 2*c - 0*c. Let x be c\/(-6) - 4\/12. What are the prime factors of r(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 1766.4 (c) 1 (d) 3 (e) 1\/7 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (23 + -25)\/(-2 + -78). Let k = n - -1877\/120. What is the common denominator of k and 70\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 329, 9, 0, 3, 191 in increasing order.\nAnswer: 0, 2, 3, 9, 191, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1 - 2 - 5*i + i. Let z(l) = -11*l - 10. Let c(r) = -8*s(r) + 3*z(r). Let q be c(4). Which is smaller: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*v + v + 36*v)*(-v**4 + v**4 - 2*v**4 + (v**3 - 6*v**3 + 3*v**3)*(0*v + 2*v - 4*v)).\nAnswer: 102*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*l + 3*z, l - 20 = 2*z + 3*z. Suppose 2*f - 10 = l*m, -3*m = m - 4*f + 20. Let c(h) = -h + 17. What is c(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37729, 37730, 37731?\n\"Answer: i + 37728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -102721242 divided by 1717\nAnswer: -59826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3526345, -5, 0, -2.\nAnswer: -5, -2, 0, 3526345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5663400 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1110101101101100 (base 2) to base 9\nAnswer: 101604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 218753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = r + 624109999, -621*s + 622*s - r = -124822001. Round s to the nearest one million.\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 936*t - 43092.\nAnswer: -4*(t + 63)*(t + 171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 5*a + 1. Let h be o(-7). Let q = h + 18. Let x(m) = -m - 3 - m**3 + 2*m - q*m**2 + 3*m**2. What is x(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.29777 times -0.5?\nAnswer: 32.148885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-90)*3)\/((-42)\/(-140)). Put k, -2, 3\/38 in decreasing order.\nAnswer: 3\/38, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from tofxffoixxfffi.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 7616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v**4\/3 + 145*v**3\/3 - 85*v**2 - 435*v + 90 = 0 for v.\nAnswer: -6, -3, 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 20 = -v. Suppose q + v = 6. Calculate the remainder when 7 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047207181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d9e6 (base 16) to base 14.\nAnswer: -4c14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6 + 8*s - 3*s - s**2 + 4*s. Let v be f(7). Suppose -4*b - v = -44. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/165 - -5\/66. What is the fourth biggest value in 0.2, 6, -17, w?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80030929.\nAnswer: 11, 691, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, g: 7}. Give prob of sequence gjjj.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - 4*s**2 + s**2)*(-3*s**2 + 0*s - s + 45 - 47).\nAnswer: -6*s**4 - 2*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 111\/2. Is h greater than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(99) + 5)**2.\nAnswer: 30*sqrt(11) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -17.1. Let w = n - 0.1. Let m = 0.06 + -0.16. Which is the closest to m? (a) 0.3 (b) w (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/((-2)\/(-4)))\/(90\/270). Let n(k) = 6*k - 6. Let r be n(4). Calculate the greatest common factor of y and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 163 = n, n - 284 + 205 = 3*v for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 4*n - 5, 6*l - 3*n = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2592 and -127\/3474.\nAnswer: 500256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c1 + -130?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 11*q**3 + 7*q**2 - 26*q + 23. Let k(p) = 7*p**3 + 5*p**2 - 17*p + 15. Let n(f) = -5*a(f) + 8*k(f). Determine n(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k = 4*p + 236, -4*p = 2*k - 228. Let b = k + -87. Let n(o) = -o**2 - 33*o - 74. What is the remainder when n(-24) is divided by b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1425\/5668 - 2\/1417. Is 1192 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -68, -75, -86?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(153\/(-3))\/3. Let a be 6 - 0\/(-5 - -3). Suppose -l + x = 3*p, -p + a*l = 2*l - 20. Calculate the remainder when p is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 4. Give b(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*l = 49*l. Solve -17 = -l*r + 2*r + 5*n, -n + 11 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7441\/572 at most as big as -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/209 and (-62211)\/14364 + 4 + 1\/21*6.\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*f + 3*x - 10 = -239*f, -3*f + x - 143 = -147 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -12*p + 10*p + 5*p - 14. Let j be g(6). Let y(u) = -2*u**3 + 2*u**2 + u + 32. Let d be y(0). What is the highest common divisor of j and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 506466 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4259 is divided by 116.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.31 + -13.31. Let w = -12 - j. Let q = -8 - -7.7. What is the second smallest value in w, q, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by 87.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.96 + -3. Let l = -6.99 + 0.99. Let q = l - -5.5. Which is the second smallest value? (a) 0.5 (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-2)*d)**(-4\/7))**(1\/4) assuming d is positive.\nAnswer: d**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369200?\nAnswer: 2, 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4*i**2 - 3)*((-2 + 1 + 3)*(-1 - 2 + 4) - 1 + 1 - 1 - 4 - 24 + 8) to m*i**2 + u + h*i and give m.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -219769 divided by -1190?\nAnswer: 219769\/1190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 9383.\nAnswer: -16\/9383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 323451?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40228666?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 45319*w**2 - 12*w + 29. Let a be (15 + -3)*2\/6 - 16. Let h be y(a). Suppose h = -5*t - 55473891. Round t to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = -9*y - 30. Suppose 0 = y*z - 3 - 7. Suppose -2*h - 3*b = -838, b - 1257 = -h - z*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/16620 and -111\/99736?\nAnswer: 414403080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1303689 and -11871964.\nAnswer: -13175653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93879197.\nAnswer: 101, 929497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Let c be ((-1)\/(-2))\/((-2)\/4). Let d be c\/((2 + -1)*-1). Solve 5*g + d = -3*l + 11, -z*l + 3*g - 6 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/o**(2\/9))\/(o**(2\/5))**(1\/9) assuming o is positive.\nAnswer: o**(-49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -3002200120210?\nAnswer: -3002200120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c. Let a(f) = 5*f**2 + 1. Let p(m) = 11*m**2 + 2. Let i(k) = 9*a(k) - 4*p(k). Let d(v) = 2*v**2 + 3. Let t(n) = -2*d(n) + 6*i(n). What is r(t(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w + 18*w - 18*w + 15*w - 847.\nAnswer: 2*w - 847","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222 by 1034.\nAnswer: -111\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from beaob?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/2, 1\/5, 0.7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33913075 is divided by 914?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Suppose 247 = 5*k + 2*d - z*d, -5*d = 10. Suppose -4*m + 4*x = -0*x - 128, -2*m + 5*x = -k. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r + 2. Let k be i(-5). Let y be (-12)\/k*(0 - -14). Round y to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**5\/60 + a**4\/4 - 7*a**3\/3 + 9. Let m(r) be the third derivative of v(r). What is the derivative of m(x) wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000974502 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5 - 5 + 275*h**4 - 276*h**4 - 3*h**3 = 0. What is h?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.96 - -0.04. Let t be (-3)\/(-39)*1 + (-36)\/468. What is the third biggest value in 0.3, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14687480?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.012 - -0.043. Let o = -2.031 + y. What is the nearest to o in -0.2, -0.3, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, s: 2}. What is prob of sequence sg?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 54553303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.92 (b) -4 (c) -1083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 8*l. Suppose -22*k = -12*k - 40. What is the remainder when u(6) is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = t. Let m(g) = -3 - 47*g - 2 + 20*g + 4*g**2. Let w be m(t). What is w rounded to 0 dps?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25060 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, f: 3, p: 1, t: 5, y: 1}. Give prob of sequence pvf.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-648)\/(-63)*((-426)\/(-4) + 2). Let p = r + -396. What is p rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**5 - 584*b**4 - 36872*b**3 + 114080*b**2 - 115228*b + 38600 = 0. Calculate b.\nAnswer: -50, 1, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 406036, 406012, 405988, 405964?\nAnswer: 405940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33314 + 8497. Let q = -3821911\/154 - w. Calculate the common denominator of -111\/22 and q.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - 2 + 2 + (-3 + 3 - 1)*(-129*d**2 + 215*d**2 - 195*d**2).\nAnswer: 110*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 - 3*g**2 + 12*g - 1919. Let y be t(0). Is y at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 - -95.03. Which is the biggest value? (a) o (b) 2 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*o - j + 3 = -444*o, 3*j = 5*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.35734 to two decimal places.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -1 - (-1 - 25)\/(-2). What is the units digit of (-1593)\/c + 2\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -13)*(3 - 14\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1697.88 and 0.087.\nAnswer: -1697.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 15*g + 36. Let h be s(-12). Put h, -4, 6 in decreasing order.\nAnswer: 6, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 284\/32 + -9 - (0 - -5 - 5).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5672780 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2368 - -33454531?\nAnswer: 33456899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 28088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n**4\/5 - 56*n**3\/5 + 4996*n**2\/5 - 1616*n\/5 - 3312\/5 = 0. What is n?\nAnswer: -23, -2\/3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 5544 = -6*b. Suppose -b = -13*z - 21. What are the prime factors of z?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4069835 days in weeks?\nAnswer: 0.0581405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4*d + 5*f - 442 = 0, 5*f = 5*d - 670. Is d a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) -1 (c) -4 (d) -1\/2 (e) -6\/1735 (f) -0.323\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -893666*t**5 + 28542*t**2 + 11.\nAnswer: -53619960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4 and 73\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - 6*z**4 - 5 + z + 5*z**4 + 2*z**4 in the form t + u*z**4 + y*z**3 + q*z**2 + r*z and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21\/2 of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 8*h - 8. Let x be 0\/(h\/(-8) + 3*-1). Solve 5 = m - x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 12:12 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 254*o*q*y**3 - o*q*y**2 - o*q + 81*o*y**3 - 35 with respect to q.\nAnswer: 254*o*y**3 - o*y**2 - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028969454 rounded to 7 dps?\nAnswer: 0.0002897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29584.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92791536 minus -6.2?\nAnswer: 7.12791536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -15. Let d(z) = -z**3 + 8*z**2 + z - 3. Let q be d(l). Sort 0.5, q, -3\/2 in descending order.\nAnswer: q, 0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 169119184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5243*t**2*x - t*x + 10447*t wrt t?\nAnswer: 10486*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 + 8*q + 29. Let n be p(12). Suppose 0 = -2*o - n + 6175. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -67 - 7?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 2*i - 2. Let s be a(3). Let d = -9 + 9. Suppose -2*z - 2 + 6 = d, 11 = 5*w + 3*z. Calculate the highest common factor of s and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2637 and 2365096.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3745331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 9, k: 1, t: 4, r: 1}. What is prob of picking 1 r and 1 k?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5753 + -34655\/6. Let p = -38241569\/5030 - -200\/503. Let q = 7593 + p. Find the common denominator of c and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3812061 and 6353435.\nAnswer: 19060305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Let t be s\/7 - 258\/42. Let u(l) = -2*l - 1. List the prime factors of u(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(216) - sqrt(216)*-1))**2 - (sqrt(100)\/sqrt(18))**2.\nAnswer: -133\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3315797, 6631648, 9947499?\n\"Answer: 3315851*f - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**4\/8 - 13*g**3\/3 + 248*g**2. Let z(c) = 2*c + 26. Determine -4*r(d) - 5*z(d).\nAnswer: 2*d - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 173\/19 + -8?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 2*j - 6. Let z(w) = w - 3. What is 2*l(y) - 5*z(y)?\nAnswer: 2*y**2 - y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/8 - -7\/24. Let n(x) be the first derivative of 1\/2*x**2 + y*x**6 + 0*x**5 + 0*x + 0*x**3 + 2 - 1\/2*x**4. Factor n(o).\nAnswer: o*(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 245294 or 245293?\nAnswer: 245294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 4. Let p be m(-10). Suppose 3*r = 3*t + p - 3, 0 = -t - 5*r + 11. Let v = 1 - t. Solve v = k + 2*k - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14513*h**4 + 2*h**3 - 62733*h**2.\nAnswer: 348312*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-27) - (-56)\/(-9). Let a be i\/((-2)\/(16\/3)). Suppose 20 + a = 3*o. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*a + 11, -z - 4*a + 4 + 4 = 0. Let l be 4 + -5*z\/(-10). Solve -l = -u + 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*v = -4033 + 2057 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1460898 is divided by 1460887.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28 - 3\/(-1)*-1. Suppose -2*t + q = -v, -5*t + 82 = 3*q + q. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + ((-2)\/(-22) - 1). Let q = 57823 + -57822. Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 - 95705*g**2\/2 - 95704*g.\nAnswer: -g*(g + 2)*(g + 191408)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 4148.\nAnswer: 4148.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (47 - 55) + 8 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011020 (base 3) in base 16?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 614 divide 3771199666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32719840801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 + 1540?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Suppose -2*r + 3*l = -333, -3*l + l = 3*r - 506. What is the units digit of ((-1)\/q)\/((-2)\/r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y - y + 2*y.\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i + 100 = 28*i. What is the remainder when 103 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31577 + 31576. Which is the nearest to m? (a) -244 (b) -2 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 8 - (5 - -9 - -4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 84 = 6. Is (53776\/24 + m)*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 12. Let k = 58 - 34. Suppose -o + k = -5*o + 4*g, 18 = -o - 2*g. Calculate the remainder when 13 is divided by w(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012273727 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 960297823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 381 = 411 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 2*x + 3. Let r(s) = -4545 + s + 4546 - s**2 + 2*s**2. Determine 4*f(a) - 10*r(a).\nAnswer: -2*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 269.6 - 227. Let l = 75 - n. What is l rounded to zero dps?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from kkbbbbubbfbkfbbb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000011101 (base 2) in base 9?\nAnswer: -7680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let f(p) = 108675*p - 567. Let z(v) = 384*v - 2. Let s(m) = -2*f(m) + 567*z(m). Determine q(s(u)).\nAnswer: -142884*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -625449 (c) 0.05 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 3:43 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33565663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 13*q**2 - 50*q - 518. What is x(-14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - y + 1. Let j(p) = -4*p**2 + 3*p - 3. Let k(d) = j(d) + 5*v(d). What are the prime factors of k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 20\/17, -3, -2\/5, -0.03, 0.3?\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -4 + 2\/3*n**3 + 0*n**2 + 0*n. Let s(k) = -22*k. Give r(s(j)).\nAnswer: 968*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1859*h - 23727. Let k(a) = -62*a + 791. Let d(r) = 4*c(r) + 121*k(r). What is the first derivative of d(f) wrt f?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1460, -2434, -3370, -4268, -5128, -5950?\nAnswer: -6734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 13*a + 83. Let c be x(-6). Is 78 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*l + 6*l - 13*l)*(l - 3*l + 0*l) + 0 + l**2 + 0.\nAnswer: 47*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**3 - 2*d**2 + 6*d + 5. Is g(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 326, -2 in descending order.\nAnswer: 326, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4 = -4*j, 10*x - 13*x + 7*j - 226 + 495 = 35*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116450687.\nAnswer: 337, 345551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*j**3 + 32*j**3 - 257*j**3.\nAnswer: -47*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -6)*8\/12. Let i be ((-2)\/w)\/(2\/4). Let h = 46 + i. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2425849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/190 and 87\/778202.\nAnswer: 3891010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54528756?\nAnswer: 2, 3, 4544063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(-229*t + 739*t - 330*t + 684*t + 395*t).\nAnswer: 1259*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -4*c + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29019 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -11*p**2 - 1297*p - 16983. What is v(-13)?\nAnswer: -1981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j + 14. Let u(y) = -3*y + 8. What is 4*h(a) - 9*u(a)?\nAnswer: 3*a - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*v + 1 + 45, 0 = -2*u - 5*v - 8. Is u bigger than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50\/451 - -12\/41. Let o be 2\/3 - 132\/36. Which is the third smallest value? (a) o (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - 101440410323?\nAnswer: -101440410300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -3. Suppose -3*n = -v - 145, -2*n + 137 = n + v. Let c(t) = -t - 42 + n - t. Calculate c(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z + 13 - 5 + 22*z. Let v be h(2). Let g = -58 + v. Put g, 0.5, -4 in increasing order.\nAnswer: g, -4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 74?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.5, -0.2, -0.1, 0.25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.054027 - 0.054. What is j rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -82?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49, 86, 125, 166, 209?\n\"Answer: c**2 + 34*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbbpbbpbbbbc. What is prob of sequence bpc?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569761263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9522 * -2.\nAnswer: 19044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 596*m - 595*m + 140 - 89. Calculate g(-12).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121 - -126. Let q = 14 - 10. Suppose 20 = -z*d, q*d + 52012 = -4*x + d. Round x to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-10)*5*28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 4 (c) 0.01 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -77 + 53 + (6 - 1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 4482?\nAnswer: 76194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -394 and 1449.\nAnswer: -570906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 - 882*q - 64827 = 0.\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18862470 and 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1877, 1, -1 in descending order.\nAnswer: 1877, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) -2\/7 (b) 4\/5 (c) -1\/4 (d) 5 (e) -0.78 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -11. Suppose 3*p = k*p + 8. Let n(j) = -2*j + 2. What is the units digit of n(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3 = 63. Suppose c - l = 5*c. Suppose -3*q = -2*q + 3. Is c <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -377.7635853 and -0.0026.\nAnswer: -377.7661853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -1\/720*o**6 + 1\/12*o**4 + 0*o**5 - 2*o + 0 + 0*o**3 + 0*o**2. Let y(l) be the third derivative of r(l). Give y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 9) to base 8\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2217 divide 111424258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 + 7*x**2 - 69)*(x + 4*x - 4*x) - x**3 - 2*x**3 + x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y = 4*m - 60, -4*y + 60 = 4*m. Let k = m + -13. Suppose -10*f = -3*o - 8*f + 325, 4*o + k*f = 424. What are the prime factors of o?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -11. Suppose q = -5*h, 70 = 2*a + 3*h + 20. Suppose 53 = 4*c - u, a = -4*c - 4*u + 79. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -3 - 7\/2*b**2 - 8\/3*b**3 + 0*b. Find the second derivative of w(n) wrt n.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -1\/235, 2, 0.5, -1200?\nAnswer: -1\/235","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 29\/(3\/(-9)*-3). Let b = 30 - f. What is the remainder when 3 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 8*r**2 + r + 13. Let f be n(-8). Let v = -2 + f. Calculate the remainder when 6 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(16)\/sqrt(2))**2 + sqrt(2) + sqrt(6)\/sqrt(3)*-2 + sqrt(8)\/(1*sqrt(4)).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 330834103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -6060686140 to the nearest 100000.\nAnswer: -6060700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + a = -a - 12, 0 = 3*a - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20d6db + -a?\nAnswer: 20d6d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 10:15 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 2. Let s be d(5). Suppose -s*t + 5 = -13. Solve -5*v = -5*l, 24 = 5*v - t*v - 5*l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -443 - -597. Calculate the remainder when p is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 6 = -4*w. Factor 10*z + 79*z**w + 2*z**3 + 4 - 42*z + 45*z**2.\nAnswer: (z + 1)*(9*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(4 - (-3 + 6)). Suppose -3*j = -2*g - 24, -f*g + 65 = -4*j + 9*j. Calculate the remainder when 18 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*w = -44*w - 216. Suppose w*c - 14*c - 200 = 0. Solve -c + 5 = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 34. What is the greatest common factor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 8:15 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 5. Let c be (-26)\/j + 1\/2. Let n be (40\/c)\/(-4) + -1. Is -2 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 2*z - 1. Let j(s) = 2*s**2 - 5*s + 2. Determine -3*j(k) - 7*m(k).\nAnswer: k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5715, -0.44, 5 in ascending order.\nAnswer: -5715, -0.44, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**3\/4 - 3*t**2\/4 - 117*t = 0.\nAnswer: -12, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5 - 554*z**4\/9 - 4592*z**3\/9 - 6296*z**2\/9 + 544*z\/3 = 0. Calculate z.\nAnswer: -17, -12, -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1813 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0 + 0*w + w**2 + 1\/24*w**4 + 5\/3*w**3. Calculate the remainder when 29 is divided by b(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*5*18\/(144\/(-8)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -71*o + 77*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1276, -1786, -2294, -2800?\nAnswer: -3304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 32*f + 175750 + 145595 = 0. Is 53 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (4 - 5) + 0 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Suppose 4*u - 2 = 6. Suppose u*y - 2*v + 4 = -y, -24 = -2*y - 4*v. Solve m = y*n - 1 - 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i - 1. Determine l(4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n + 28. What is the smallest common multiple of t(11) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(4*15\/(-708)))\/((-1600)\/125 - -13).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8605196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 12*g + 10. Determine b(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0, 1.31, -0.4?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 429 and 31830513.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o*o**(1\/3)\/o)\/o))**15*(o**(-1\/2)\/o)\/o**(3\/8))**(-6) assuming o is positive.\nAnswer: o**(-195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2233845 and 16335?\nAnswer: 270295245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0)*-5 - ((sqrt(102) - (sqrt(102) - -1*sqrt(102)))\/sqrt(6))**2.\nAnswer: -5*sqrt(17) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**7\/21 - r**4\/6 + 27*r**3\/2 - 143*r**2. Find the first derivative of h(x) wrt x.\nAnswer: 40*x**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + s**2 - 2*s + 2. Let x be k(6). Suppose -41*b + 26*b = 135. List the prime factors of x\/(-25) + b\/15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:45 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.94 - 3.94. Let r = 13 + -12. What is the nearest to -2 in q, -1\/11, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -354 - -198. Let x = -109 - t. Let c = x - 10. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, -0.12, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8289, -8295, -8303, -8313?\n\"Answer: -y**2 - 3*y - 8285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, t: 2, i: 1, p: 4}. Give prob of picking 1 p, 2 i, and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 544 and 1712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 4) to base 12\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 438.1 + -397.33. Let u = m + -41. Round u to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -3. Let t = 14563 - 14566.9455. Let s = t + -0.0545. Is r at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v - 4. Let m be p(-3). Suppose 80 = 5*q + 11*q. Suppose -2 = m*c + o - 104, -q*o = 2*c - 86. Calculate the remainder when c is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(624) - -6*sqrt(624)*5)\/(sqrt(768)*5 + sqrt(768)))**2.\nAnswer: 12493\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2231 - 4461 + 2*c**3 - 31*c**2 + 2234.\nAnswer: 2*c**3 - 31*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 72 - 92. What is the lowest common multiple of 4 and -2 + ((-128)\/80)\/(g\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**5\/80 + 103*n**4\/24 + 409*n**3\/24 + 51*n**2\/2 + 6*n - 28. Find p, given that m(p) = 0.\nAnswer: -204, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 126\/4*((-26)\/(-39))\/1. Solve 0 = -35*g - 56 + u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 0*s**4 - 1\/3*s**3 + 1\/20*s**5 - 2*s**2 + 0*s + 0. Differentiate q(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010101001000 (base 2) to base 12.\nAnswer: -5634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z + 12. Let v(n) = n + 1. Let i(s) = 2*s + 3. Let q(g) = 2*i(g) - 5*v(g). What is the units digit of q(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 4. Let l be (-50)\/(-10)*8\/10 - 0. Let y be k(l). Suppose 14 = x - y. Calculate the greatest common divisor of x and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -813 - -5462. What are the prime factors of l?\nAnswer: 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*0.037\nAnswer: 0.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111101001 - -100?\nAnswer: 101111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiikkhhkikhhkwkhii. Give prob of sequence ii.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232, -456, -680, -904, -1128?\nAnswer: -1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((406\/(-1421))\/((-26)\/84))\/(3\/3*-1)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t + 1. Let w(s) = s**2 + 8*s + 4. Let m be w(-7). Let l be (-10 - -1) + 9 + (m - 1). Let q(o) = -o. Give l*q(i) - f(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1660 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.276 + 66.276. Let o = -65.999672 + g. What is o rounded to 5 decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75 in -44, 17, -0.1, 3, -0.5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.72 * -3029.\nAnswer: -2180.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007021640526 to 4 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(-28))\/(1\/80). Let v(o) = -9*o**2 - 48*o - 7. Let g be v(-5). Calculate the greatest common divisor of l and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11010212011200 (base 3) to base 6\nAnswer: 115105030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*u**3 - 358741*u**2 - 66381626*u wrt u.\nAnswer: -24*u - 717482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2148?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7609 (b) -0.14 (c) 15 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2*p + 5*p)*(-2*p + 0*p + p) + 6 - 1 - 22*p**2 - 7 - 2*p.\nAnswer: -23*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 + 4*d**4 + 0*d**4 + (2*d**2 + d**2 - 2*d**2)*(3*d**2 - 2*d**2 + 0*d**2).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -622, -869, -1112, -1351?\nAnswer: -1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/144 and -101\/128?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05678 + -23.67322. Round s to 1 decimal place.\nAnswer: -23.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 660 divided by -4.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(6912) - sqrt(6912))**2.\nAnswer: 1152*sqrt(3) + 62224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 11:04 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 891 times -0.2?\nAnswer: -178.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10}. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 m when three letters picked without replacement from tbbtmmkbbk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.187 + -2.04. Let t = -0.21 + u. What is t rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 18.2. Put y, -5, 1 in ascending order.\nAnswer: -5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 157*m**3 + 313*m**2 - 3*m. Let b be j(-2). Factor -2*h + 1\/3*h**b + 8\/3.\nAnswer: (h - 4)*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/2 - 3283533*l**3\/2 - 2695395598755*l**2\/2 + 2695398882289*l\/2.\nAnswer: -l*(l - 1)*(l + 1641767)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4533?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -10. Let b be ((-1)\/p)\/(4\/16). Find g such that -b*g**3 - 4\/3*g**2 - 2\/3*g + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29435, -29433, -29431?\n\"Answer: 2*d - 29437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 953 times 527?\nAnswer: 502231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-7) - (14 - 15)\/(-1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 2\/3 (c) 3683 (d) -1 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2.1+-58509\nAnswer: -58506.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -14 (b) -4\/153 (c) 0.002\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102527 = 38*u - 512053. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 14*o + 18. Let i be l(13). Suppose -91 = -4*m + i. Solve 3*p = 5*y + m, 3*y + 4*p - p = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36492 + -0.371?\nAnswer: 36491.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87\/3625)\/((-1)\/((-30)\/18)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnm. What is prob of picking 3 n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/4 of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 3*r**8\/56 + r**7\/70 - 9*r**6\/20 - 3*r**5\/4 - r**4\/4 + 3*r**2 - 49*r. Suppose j(c) = 0. What is c?\nAnswer: -1, -1\/6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l**3\/7 - 54*l**2\/7 + 156*l\/7 - 144\/7 = 0. What is l?\nAnswer: 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1150 by 5.\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 5 - 3 - (-12 - -22) - -23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 12 = -3*c. Suppose -t = c*t. Let o(j) = j**2 - j + 13. Let d(b) = -1. Let w(r) = -4*d(r) - o(r). Give w(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -1 (c) 668 (d) -3\/950\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -480456777*y**2 - 344397374*y?\nAnswer: -960913554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 1, t: 1, g: 1, f: 1}. Give prob of picking 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from ucuuuuccyuauccbucccb.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -11*d + 2*d**2 - 11*d**2 + 4*d. Let s(o) = -5*o**2 - 4*o. Let r(n) = -4*h(n) + 7*s(n). Let z(w) = 2*w. Give r(z(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.88 + -3.38. Suppose -2*n - 16 = -4*r, r - 12 = -2*r + 3*n. Which is the biggest value? (a) m (b) 0.03 (c) r (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 4:13 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -6.1. Let i = z + 6.9. What is the closest to i in 0, 5\/9, 3\/8, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (43 - 37) - (3 + -1 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 3, 69\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*f - 1784 = -264*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1064*b**5 + 1898*b**2 wrt b.\nAnswer: -63840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1999\/2 + -1000. Which is the nearest to 3\/2? (a) j (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 5*i**2 + i + 1. Let k be v(-4). Let m = -13 - k. Let g(p) = 2*p - 3. Let n(t) = 7*t - 11. Give m*n(y) - 22*g(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 11 = -5*y, -5*l + 5*y = 15 - 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -441070 divided by -63010.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11880987719887.3080131 + 11880988691956. Let s = k - 972069. Let a = s + 0.308. What is a rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 33*m**2 - 131*m + 41. Let x be c(-5). Let h(p) = p**2 - 11*p - 12. Calculate h(x).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68594208 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 518 - 101. What is the remainder when m is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 79*o**3 - 88*o**5 + 85*o**5 + 10*o**2 - 10*o**2 + o**5 + o**5 + 0*o**5 + (3*o + 0*o - 5*o)*(-o**4 + 4 - 4) + 2*o**5 - 2*o**5 - 2*o**5.\nAnswer: -o**5 + 79*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s + 8*s - 11*s)*(-4 - 2*s + 4 + (-s + 2 - 2)*(-2 - 2 + 2) + 2*s - 1 + 1).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbu when three letters picked without replacement from {u: 8, b: 3}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2. Let a(b) = 2*b + 2. Suppose 0 = -0*m + 5*m + 25. Let h(c) = 5*c + 3 + 0 + 1 + 1 + c**2. Let j(y) = m*a(y) + 2*h(y). Determine k(j(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d + 579. Let y(v) = -v**2 + 30*v - 3. Give b(y(g)).\nAnswer: -3*g**2 + 90*g + 570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3269776, 6539569, 9809360, 13079149, 16348936, 19618721?\n\"Answer: -w**2 + 3269796*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 1 - 8*r**2 + 20*r + 5*r**2 - 12*r. Determine a(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 525*p + 0*p**2 + 7 + 4*p**2 - 521*p. Give w(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j. Let p = j + 0. Let o = -32 - -30. Sort 3, p, o in decreasing order.\nAnswer: 3, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 10 = -d + 10, 5*b + 10 = 5*d. Let o be 30\/(-2)*(-8)\/3. Suppose -i + 6*i - o = 0. Solve d*m + i = -17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 8:43 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.4, 1\/4, 0, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((3\/(-3) - -1)\/1)\/(-2). Which is the nearest to -3? (a) -3 (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 3100*a - 233920.\nAnswer: 5*(a - 688)*(a + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/(-2)*(-20)\/(-42)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38110*k**4 - 594*k**2 + 61529224*k.\nAnswer: 457320*k**2 - 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10758+0.5\nAnswer: 10758.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 26, 8, 453 in descending order.\nAnswer: 453, 26, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 743735*w + 2231250.\nAnswer: -5*(w - 148750)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0*h - 1\/4*h**4 - 108*h**2 - 9\/2*h**3 + 0 - 1\/180*h**5. Find y, given that p(y) = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - f - 4. Let i be s(0). Let u be -1*(i + 30\/3). Which is the third smallest value? (a) -5\/3 (b) u (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(162))**2*6.\nAnswer: -432*sqrt(2) + 1068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285743819?\nAnswer: 241, 1185659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -5507497\nAnswer: 66089964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-42) + (-2332)\/(-1113). What is the greatest common divisor of g and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101451429 divided by 3.\nAnswer: -33817143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from owwo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**4 + x**2 + 1. Let j(r) = -5*r**5 - 3*r**4 - 3*r**2 + 3. Let t(g) = j(g) - 3*o(g). Find the third derivative of t(l) wrt l.\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -255, -821, -1911, -3699, -6359?\nAnswer: -10065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3020 <= 3148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 7, y: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 != 56\/8611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 297 + -278. Suppose -j*l + 34*l = 1215. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -37, -5, 4, -2, -16 in descending order.\nAnswer: 4, -2, -5, -16, -37, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104787, -419140, -943061, -1676550, -2619607, -3772232, -5134425?\nAnswer: -6706186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/14 - 1\/21. Let n be 1\/(-5)*1*2. Sort -1\/4, n, r in decreasing order.\nAnswer: r, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, v: 4, h: 1}. Give prob of picking 2 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 271928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/810 and -173\/373410.\nAnswer: 373410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 211\/28477?\nAnswer: 211\/28477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 15. Is 6 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 14, x: 1}. What is prob of picking 4 w?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 + 33*p\/2 + 1827\/4.\nAnswer: -(p - 87)*(p + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4238.867 + -4245. Let g = -6.1 - k. Let j = g + -0.094. What is j rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 909*d**3 + 846*d**2.\nAnswer: 5454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2289224 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 w when three letters picked without replacement from {r: 6, k: 2, f: 5, t: 3, w: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, u: 1, q: 2, p: 6, m: 3}. What is prob of picking 3 m?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(1\/(-1)) - (33 + -63)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/198*2*-6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3277 - 3276 = -5*u, 2*c - u - 20 = 0 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30801.86 millennia to months.\nAnswer: 369622320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 n, and 1 k when three letters picked without replacement from {k: 1, v: 1, c: 1, n: 1, h: 1, w: 6}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*q - 3*q + 139, -3*q = 2*j - 69. Let v = j - 6. Suppose -l - 22 = v. Round l to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 + 7*h + 0*h**3 - 79279780 + 0*h**3 + 79279798 to v + w*h**4 + j*h**2 + p*h + r*h**3 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13925, 13936, 13955, 13982?\nAnswer: 14017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 9*j**2 + 6*j - 28. Is d(9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48465669 greater than 48465667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 356*i**2 - 4*i**3 + 4 - 3 - 2*i - 528*i**2 as h*i + m + z*i**3 + l*i**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.2 (b) -2\/17 (c) 0.1124 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/8431, -1, 0, -2\/9, -30?\nAnswer: -2\/8431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 949*h**3 - 409*h**3 + 318*h**2 - 464*h**3 wrt h?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**4\/24 - r**3\/6 + 735*r**2. Let p(i) = 5*i + 4. Determine -p(z) - 3*v(z).\nAnswer: -8*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5295 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 142021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -0.5 (b) -1.5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 1:51 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 - -1.2. Let g = n + -4.4. What is g rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -33\/5. Let q = -0.08 - -0.58. Let d = -0.3 + q. Which is the biggest value? (a) d (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -75*g**2\/2 + 539*g - 2639. Find the first derivative of c(x) wrt x.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1. Let q(i) = i + 3. Let t be q(3). Let h(u) be the second derivative of -u**4\/12 - u**3\/6 - 3*u**2\/2 - u. What is t*b(x) - 2*h(x)?\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69.6803 + 0.5397. Let q = -1.78 - z. Let k = q - -72.00000058. What is k rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9053 is divided by 232.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-7)\/z)\/(z\/z**3))**(-7\/10))**(10\/7))**(1\/17) assuming z is positive.\nAnswer: z**(6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - o - 4*o)*(2 + 0 + 10 - 30) to the form z*o + x and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -77. Let q(l) = -3*l + 23. Let t be q(p). Solve t*z + 3 + 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 199745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -21 (b) 798\/16481 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6191, -24059, -53839, -95531, -149135?\nAnswer: -214651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*f = 67*f + 84. Put f, -3, 5 in ascending order.\nAnswer: f, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*d**2 + 5346*d - 345239 with respect to d.\nAnswer: -22*d + 5346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2545288144401 and -3.\nAnswer: 2545288144398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 9*z - 10. Let s be u(10). What is the third derivative of 0*p**3 + s*p**3 + 17*p**5 - 15*p**5 + 5*p**2 wrt p?\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u + 5*u - u)*(3 - 2 - 2) + (4*u - u + 3*u)*(5 - 2 - 1) + 0*u + u - 3*u in the form q*u + y and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*f = 11, 4*f = 1481*z - 1480*z - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -14*i**2 - 903*i + 325. Give v(-65).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*a*o**3 + 588*o**3 wrt a.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16102056 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d757f (base 16) to base 11.\nAnswer: -552771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phppppxxpfphp. Give prob of picking 2 h.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1122 and 1739100?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -571 < 2572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*b**2*i**3 - 26*b**2*i**2 + 23*b**2*i + 7*b*i**5 - b*i**2 wrt i.\nAnswer: -60*b**2 + 420*b*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 6:26 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -34.\nAnswer: 25\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1101212?\nAnswer: -1102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**5\/3 - 20*j**4 - 152*j**3\/3 - 32*j**2 = 0.\nAnswer: -12, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**4 + 13 + s**2 - 2*s - 18 - 3*s**3 + 6 - s**4 to the form t + y*s + u*s**4 + a*s**3 + f*s**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-250)\/(-35) - 7)*-4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 11 = -2*h + i, -4*i - 16 = -h. Let x be (4 + -4)\/h + 4. Solve -x*r + 4*j + 8 = 0, 2*r - 1 = -r + 2*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 203150 by 93.\nAnswer: 203150\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 114*r - 111*r = -3, r + 7 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5 + 102*i**3 - 20*i**2 - 1200*i = 0 for i.\nAnswer: -6, -4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (612\/(-408))\/((-3)\/(-52))*-1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 3*p**2\/2 + 9. Let v be z(1). What is the third derivative of -2*f**v + f**3 + 9*f**2 - 8*f**3 wrt f?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 10*y + 4*x = 102, 9*x - 12 = 5*x for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41211?\nAnswer: 3, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + z**2 + 407*z - 2*z**2 + 30305*z**3 + 3*z**4 - 30303*z**3 as v + i*z**4 + l*z**2 + s*z + a*z**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6970 times 2?\nAnswer: -13940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4851, 4846, 4841?\n\"Answer: -5*d + 4856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 12*x + 17. Let r(g) = -17*g - 22. Let l(d) = d + 1. Let h(y) = 6*l(y) + r(y). Let i(w) = -6*h(w) - 5*q(w). Is i(4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**3\/3 + 7*r**2\/2 + 17*r. Let v be h(3). Let w(m) = -9*m**2 + m - 1. Determine w(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297810 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**4\/2 - 11*r**3\/6 + 3*r**2\/2 - 7*r + 5. Let v be d(2). Solve -v*c - 1 = -16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 67, -171, -1031, -2825, -5865, -10463, -16931?\n\"Answer: -52*z**3 + z**2 + 123*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/10*5\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182220 and 540.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2973 and 545361?\nAnswer: 540452751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -28\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 24 = -0*k. Let n(h) = 2*h**2 - 4*h - 7. Let t be n(k). Suppose -t*g + 372 = -5*g. List the prime factors of g.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-128)\/(-96) - (-2)\/3. Solve 3*q + u*q - 25 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04068, 28, 0.5 in descending order.\nAnswer: 28, 0.5, -0.04068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -571480 divided by 2?\nAnswer: -285740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.709692 years in centuries?\nAnswer: 0.01709692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, f: 1}. Give prob of picking 1 f and 1 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (0 - -3) + (2 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 17*y - 72. Solve -2*q - 1 = 3*f, -y*f - 4*q + 9 = -9*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/(-30)*(-25)\/(-66) and 89\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 + 52*x + 135. Give m(-13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*o = 81 - 32, 9 = x - o. Solve 0 = 3*h + 7 - x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72191 divided by 96.\nAnswer: -72191\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13086 kilometers in meters?\nAnswer: 130.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818650.8 weeks to hours.\nAnswer: 137533334.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5012.\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11490, -10036, -7574, -4104?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -9 - 8) + 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 27*m**2 + m + 31. Let w(l) = -3*l**3 - 4*l**2 + 9*l - 5. Let o be w(2). Let y be k(o). Solve 0*c + y*c = -4*g - 16, -20 = 3*g - 5*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4267 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 4 - 2)*(5 + 0 + 2)*(5 - 3 - 5)*(2 - 2 - 2)*(-4*m - 2 + 2*m - 3*m) in the form x*m + v and give v.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0159 * 0.3.\nAnswer: -0.00477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.994.\nAnswer: 0.497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2. Let a(s) be the first derivative of 3*s**3 - 18. Determine a(l(k)).\nAnswer: 81*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - ee15?\nAnswer: -ee23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 54412 (base 6) to base 3\nAnswer: 101021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1667237 to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -63?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.25112 and -299464?\nAnswer: 299464.25112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*h**3 + 37*h**3 - 11*h**3 + 93*h**3)*(-16*h + 73 + 11*h + 3*h)*(-8 + 3 + 3) in the form o*h**2 + u*h**3 + y*h**4 + j + c*h and give u.\nAnswer: -21754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.37 + 0.87. Let v = 81.8 - 82. Which is the closest to v? (a) -0.2 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**4 + 77*c**3*m + 91*c**2*m + 3*m wrt c?\nAnswer: -216*c + 462*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -20, -27, -38, -53, -72, -95?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 1)*(-3 + 5 - 4) - 3 - 3 + 4 - 1 + 2 - 3 - 2 - 1 + 2 + (3 + 1 - 6)*(-1 + 1 - 1))*(g + g - 4*g).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:10 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*p + 33*p - 14. What is the second derivative of -246*s**3 + 122*s**3 + 128*s**3 - 1 + 5*s - 8*s**2 + p wrt s?\nAnswer: 24*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/(5\/60). Is u\/(-21) - 430\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 3*y - 9. Let l(t) = -31*t + 771. Let r be l(25). Give z(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1738163 is divided by 399.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -2\/5581, -4, -187?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-440)\/60)\/(2\/(-45)). What is the highest common factor of 220 and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73 and -45?\nAnswer: -3285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/6528*(-2)\/3*-2?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 274\/5 (b) -4\/3 (c) -2\/3 (d) -5 (e) 1\/6 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.88564 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*f + 57*f - 115*f - 30*f**2.\nAnswer: -30*f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 601*h**3 + 452*h**2 - h - 452*h**2.\nAnswer: 601*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19671033*u - 19670776*u + 1028 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.104 times 227817?\nAnswer: -23692.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/5))\/u*u)\/u**27 assuming u is positive.\nAnswer: u**(-129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a**1))**16)**(-10) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*v - 3*j, 3*j - 8 = -73*v + 68*v. Sort v, -20, 4 in descending order.\nAnswer: 4, v, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2603, 2844, 3085, 3326, 3567?\nAnswer: 3808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + h**2 + 2*h**2)*(2*h - h**2 - 2*h) + (-7*h**3 + 8*h**3 - 2*h**3)*(-h + 4*h - 5*h).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102210112 (base 3) in base 15?\nAnswer: 85a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b0 + 3?\nAnswer: -3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4766, -9532, -14298, -19064, -23830, -28596?\nAnswer: -33362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 + w)*(w**3 + 2*w**3 - 2*w**3) - 35*w**4 - 2*w**4 - 10*w**4)*(-4 + 6 - 1) to the form v*w + m + j*w**2 + o*w**4 + i*w**3 and give o.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u - 15. Suppose 5*l = -u*a + 50, 8*a - 3*l - 40 = 4*a. What is the least common multiple of 4 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1291, -1267, -1217, -1129, -991, -791, -517?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1040314445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 14*d**2. Let n(s) = -3096481*s**2. Give a(n(r)).\nAnswer: 134234724167054*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(567) - sqrt(567)*-1)**2 + sqrt(567) - sqrt(567)) + 4 + 1.\nAnswer: 2273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2364 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 2:54 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 40 + 23. Let d = -16 + w. Put d, 2, -2 in increasing order.\nAnswer: -2, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -4. Let l = 29 - 34. Let x = -2 - l. Put x, -4, t in ascending order.\nAnswer: -4, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 52140.86 minutes?\nAnswer: 3128451600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 2. Let j be 125\/50*(-4)\/30. Which is the closest to r? (a) -1\/12 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26002 is divided by 25952?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.80125 - 1.8. What is m rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3160 - 689. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 1)\/(2\/7). Let k be 5*3*(20\/6 + -2). Suppose k*a - 756 = 16*a. What is the greatest common factor of a and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + (-92)\/(-16))\/((-3)\/(-8)). Let h(m) = 5*m - 10. Let j be h(x). Calculate the remainder when 72 is divided by (j\/(-16))\/(3\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 637 - 261. Suppose -4*t - x + 24 = 0. Is 2 a factor of t\/(-33) - (-2)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c\/c**(-3\/10)))**(2\/21)*c**(-3\/14)*c*c**(-25) assuming c is positive.\nAnswer: c**(-5051\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 50 + 15. Let f be -3 + (-17)\/(-5) + 13\/u. Let c be (461 - -2) + (f - (2 + 0)). Round c to the nearest 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11293380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77798962 to the nearest integer?\nAnswer: 8820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*u + 4*x, -17*u + 21*u = -2*x + 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -11*a**2 + 18*a - 19. Let c(q) = 7*q**2 - 12*q + 13. Let k(o) = 5*b(o) + 8*c(o). What is the smallest common multiple of k(4) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -2658.592719?\nAnswer: -2658.092719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 5*y**2 + 5*y + 5. Let d be w(-6). What is the tens digit of 2*(d\/1 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -v + 8, 0 = -2*v - 4*y + y + 2. Suppose -21 = -4*x + 91. Let t = v + x. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 - 1 = 0. Let v be -2 + (-5 - -1) - 1. Let j = x - v. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 12:05 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d1 (base 16) in base 12?\nAnswer: -1555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (119\/(-2) + -1)*-2. Let k be 435\/39 + 2 + (-84)\/39. Calculate the highest common divisor of k and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:34 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-3*j + 5*j + 0*j)*(4 - 3 + 0) + (j - 1 + 1)*(0 - 3 - 1).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-166)\/32 - (-9 + 18 + -14).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/15*(-245)\/(-147)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 334962 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 2*w + 144, -158 = -4*u - 5*w. Suppose -5*o + k + 154 = u, -102 = -4*o - 2*k. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**6\/70 - 18*x**5\/35 + 51*x**4\/28 + 1445*x**3\/7 - 656*x + 3. Factor u(b).\nAnswer: -3*b*(b - 10)*(b + 17)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 63 = -4*z - 91, 3*z + 27 = 3*f for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/9 bigger than -591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -22876.\nAnswer: 45752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/8)*n\/(n\/(n**(2\/7)\/n))*n*n)**49 assuming n is positive.\nAnswer: n**(651\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 117404313.\nAnswer: 1\/117404313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 27, 60, 131, 252?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 3*z**2 - 2*z - 6. Let v be y(-3). Solve 2*b + v = 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -3*c**4 + 13*c**2 - 14. Find the second derivative of b(o) wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109975833 by -36658611.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*k + 20 - 2, -2*k = -4*y - 12. Let a be (-7 + 7)*2\/k. Let w = 0.1 - -0.4. What is the smallest value in a, w, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 3*r + 6, -742*r = -4*o - 745*r - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -15.9. Let f = d - 16.4. Let z = 0.33 + -0.03. Which is the nearest to -0.1? (a) 0 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(21\/12) + 4. Suppose 0 = -i*o + 4*o + 20. Let p = 7 + o. What is the greatest common divisor of 5 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4 - 0)*-6. Suppose 4*g + y - 8 = g, 5*g - 3*y = 18. Suppose l - 31 = f - 0, 0 = -g*l - a*f + 93. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.32 - -1.33. Let p = q - 0.01. Let l(w) = w**2 - 8*w - 3. Let x be l(8). Which is the closest to x? (a) p (b) 3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*p + 8, -38*q - 2*p = -41*q + 20. Solve 4 = -3*w - q*b + 2, -3*b - 2 = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 5:11 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2953677.6 months?\nAnswer: 246.1398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/47528 and -37\/6218856?\nAnswer: 80845128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 380192?\nAnswer: 380192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 73151400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014 (base 5) in base 2?\nAnswer: -10000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 111?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 + -106. What is the remainder when 162 is divided by b?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2908841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 502\/22781 + 8\/1199. Let d = 4747\/2090 + z. Let v = -6\/203 + 16085\/1624. What is the common denominator of d and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (33 + -33)) + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2875 - -2876. Which is the third biggest value? (a) k (b) 5 (c) -4\/21 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83*(-1 + 4 + -4 + 128) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -62 - (25 - 11).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20517695?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 323878266 a multiple of 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**3\/6 - 23*k - 12. Let z(o) = 0*o + o**2 + 0*o. Calculate z(g(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = 5*q - 71. Let i = -192 + 246. Let l = q + i. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 0. Suppose 3*l = 0, -2*p - v*l - 174 = -6*l. Let k = p + 179\/2. Which is smaller: 4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442386101 a multiple of 1558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168 by 4.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*12\/36)\/(-4)*(-12)\/(-496).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 614286552?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 m, and 1 d when three letters picked without replacement from {q: 3, a: 3, y: 2, d: 1, p: 1, m: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1850 + -1839. Let u(m) be the second derivative of m**2 + 1\/3*m**3 + 0 + w*m. Determine u(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6382 - -6490) + -28 + -2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n + 0 + 0*n + 3*n - 1. Let k(h) = -h**2 + 2*h - 2. Give 3*k(o) - 6*v(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1447 + 1449. Is -0.0701 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**5\/60 - 7*s**3\/6 + 8*s**2. Let m(r) = r**2. Calculate m(f(p)).\nAnswer: p**4 - 14*p**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2195.8 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97 - 178. Let a = 86 + h. Solve -a*t = 4 + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 108.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1135702444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 41*m + 1844 = 37*m, 5*m + 7409 = 4*t. Is 29 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(65))\/sqrt(5) + (sqrt(130) - sqrt(130)*3)\/sqrt(10) + (sqrt(104) + (sqrt(104) - sqrt(104)*2)*-5)\/sqrt(8) + -4)**2.\nAnswer: -40*sqrt(13) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 34*x - 401. Give m(10).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**3 + 14*z**2 + 9*z - 67. Calculate r(6).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 500 and 102125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*f - k, 9*k - 4*k - 27 = -2*f. Sort 4, f, 3, 0.\nAnswer: 0, 3, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 8. Calculate g(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 4*s + s**2 - s. Let t(c) = c**2 + c. Suppose 5*b = -3*g + 19, 0 = -b + 3*g - 7. Give b*y(x) - 4*t(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.57 - 18.569. Let v = 9 - i. Round v to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -7*s**3\/2 + 115*s. Let l(y) = y. What is l(i(v))?\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -478 + 478. Suppose m = 34*z - 779 - 173. What is the lowest common multiple of z and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 0*q**2 + 2*q**2)*(-2*q + 5*q - 2*q)*(-55 - 327 + 1).\nAnswer: -762*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 + 5 + 14 - (11 - (18 - 14)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109633203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*5\/30)\/(47\/(-1081)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 53\/5 of a second?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b. Let v(r) = -12*r + 11. What is v(x) + 5*w(x)?\nAnswer: -2*x + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*g - 6*g. Suppose -2*a + 62 = g*c, -3*c + 2*a + 38 = 3*a. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 2*q**2 - 17. Let v(k) = -5*k**3 - 9*k**2 - 69. Determine 9*t(y) - 2*v(y).\nAnswer: y**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2274501 divided by -3?\nAnswer: 758167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 91370887930.\nAnswer: 91370887930.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56401 - 5337?\nAnswer: 51042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 1101110112110?\nAnswer: 1101110112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2207074.\nAnswer: 2, 29, 38053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1321682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*a + 10*a + 5*a)*(0 + 0 + 2*a**2 + 0*a**2 + 2*a**2 + 0*a**2 + (4 - 4 + a)*(a - a - a)).\nAnswer: -264*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(5) - (sqrt(5) - (sqrt(5) + 2))**2) - (sqrt(5) - (-1 + sqrt(405))**2).\nAnswer: -18*sqrt(5) + 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 716 = -4*q, -4*n + 276 - 80 = q. Let u be (-37)\/(-2) + 9\/6. Calculate the highest common divisor of q and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 2*s - 2*g + 11, 0 = 3*s - 5*g + 29 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 46369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + -b64?\nAnswer: -b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000879533 to seven decimal places.\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -465 + 467. Suppose -95 = -5*z + 5*i, -13 = -k*z - 2*i + 45. What is the greatest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3878205 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/250542099 - -2139880062547\/627858500094. Let u = 273881\/716 - 1531\/4. Let f = n - u. Calculate the common denominator of f and 23\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50.74 - -51. Let f = y + 12.04. Let a = f - 12.4. Which is bigger: a or 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 = -0*p. Let f = -9\/2 + p. Put f, -3, 0.4 in ascending order.\nAnswer: -3, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 394815969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -2*j**3\/9 - j**2\/3 + 55. Factor o(f).\nAnswer: -2*f*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 130042032141?\nAnswer: 130042032141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143875 + -91606. What are the prime factors of o?\nAnswer: 3, 7, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2379 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w - 2. Let m be 9\/(4 + -1) + 51. Let r be (-9)\/m - 62\/(-12). Let p(x) = -3 - 6*x - x - 2*x. Give r*v(i) - 3*p(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 163054081\/18 - 9065672. Let z = b - -7114. Find the common denominator of 57\/2 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 1\/3)\/((-20)\/45). Factor -6*o**3 - n*o**2 - 16*o**4 + 9*o + 9*o - 12 + 2*o + 17*o**4.\nAnswer: (o - 6)*(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0 - 2. Let j be (-2*t)\/(10\/15). List the prime factors of (-35)\/j - 2\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 13791081?\nAnswer: 13791052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 1)*(5*u**5 - 3*u**5 + 0*u**5) + (7*u - 2*u - 3*u)*(u**4 + 0*u + 0*u) - 3*u**5 + u**5 + 4*u**5.\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbactbbbbkeeabb. What is prob of sequence ctk?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 119*j + 700. Let y be m(-113). Which is the second smallest value? (a) -0.1 (b) y (c) 1\/2 (d) 3 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -237211249 or -237211250?\nAnswer: -237211250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2455 - 2679.3. Let u = q - -224. What is the nearest to u in -2\/19, -3\/16, 4?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1808834*1\nAnswer: 1808834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1049*v**2 - 11*v + 27. Is w(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/90 and 113\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3941 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 385286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 12. What is the second smallest value in -1\/3, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -468937 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(2) + -2 - (sqrt(4)\/(sqrt(8)\/sqrt(4)) - sqrt(2))) + 0 + 1)**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -20247*v**3 + 9*v**2 - v - 44. Is p(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b - 11. Suppose 3*i = i - 22. Let o(d) = -5*d + 4. Let s(p) = i*o(p) - 4*c(p). Suppose -3*z + 8 = -4. Give s(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/12*-8)\/2. Let a be 45\/6*4\/3. Calculate the highest common factor of f and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 6. Suppose -3*h + h = -d. Calculate the lowest common multiple of 16 and (-1*h)\/2*-6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 266, -606, -1480, -2356, -3234, -4114, -4996?\n\"Answer: -b**2 - 869*b + 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -94 (b) 0.2 (c) -8918 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907494269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**4 + i**4 + 4*i**4 + (1 - 6*i - 1)*(10*i**2 - i**3 - 10*i**2) + (-2*i - 2*i + 5*i)*(2*i**3 - i**3 + 0*i**3).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3143416 is divided by 260.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16071959?\nAnswer: 41, 391999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 89, 354, 869, 1718, 2985, 4754?\nAnswer: 7109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 10*k - 62. Calculate the highest common factor of k and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018286166 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 139*p**2 + 822*p - 2498. Give j(133).\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6 - 5*(-10)\/(-150). Suppose -16*w + 49168 + 156096 = f. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - z + z + (21 - 12 - 22)*(3*z - 4*z - 2*z).\nAnswer: 38*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 420298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15700032 a multiple of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-121)\/((5 + (-16 - -9))*(-2)\/(-4)). What is the highest common factor of 4961 and p?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-17)\/15)*(75 + -122 + 50). Let s = 0.3 + 1.7. Which is the closest to v? (a) -3 (b) s (c) -3\/7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -89*z**2 + 1676. Let m(x) = -2*x + 10. What is n(m(s))?\nAnswer: -356*s**2 + 3560*s - 7224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2 + 2839212*q - 1007640597618 = 0. What is q?\nAnswer: 709803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 74?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -13\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 4 + 0*f + 0 + 2*f. Let k be h(5). Find the second derivative of 4*j + 5*j**4 - 9 + k wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*h - 0*l + 3*l, -11 = -3*h - l. Let t(k) = -2*k - 5. Let p be t(-6). Let i(y) = -p + 5 - 3 + 2*y + 6. Determine i(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.18673 or -0.651?\nAnswer: 0.18673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 211*l - 202*l + 395*l - 75. Give z(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1068750*g**2 - 5*g - 20. Let v(r) = -356250*r**2 - 2*r - 7. Let o(d) = -3*b(d) + 8*v(d). Let q be o(4). Round q to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*((sqrt(1764) - (-1*sqrt(1764) + sqrt(1764))) + sqrt(1764)))\/(sqrt(1575)*-2))**2 + 4)*-4.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 3. Let u = 18 - 13. Let b = 1 - 1.4. What is the third biggest value in u, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w - 9*w + 22*w - 4*w + 0*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 19 = 3. Let t(c) = -c + 1. Let k be t(6). Put n, k, -2 in decreasing order.\nAnswer: -2, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.038 + -285.038. Let s = -285.0143 - z. What is s rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760\/15 + 75\/(-45) + (-3)\/(-3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.9? (a) -2\/9 (b) -1\/4 (c) -0.05 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7011214391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*1*5 + sqrt(11))**2 - (sqrt(396) + 0 - sqrt(396)) - sqrt(33)\/(sqrt(108)*-3).\nAnswer: sqrt(11)\/18 + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + -10 + -2 + (-7 - -59)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 9. Let t = d + 10. Find the first derivative of 11*j**2 - 2*j**2 - 2*j**2 + t wrt j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.2, 2\/377, -0.03, 4, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyqqyqqqqyqqqyqqqy. What is prob of sequence qqq?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 - -160. Let u be (-482)\/(-22) - w\/(-44). Solve 0 = -4*l + 10 - u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 4, -5, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 10*i + 97. Let u = i + 103. Calculate the highest common factor of u and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 3:30 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279754 = -4830*p - 62404. Let g = -11 - -20. Calculate the highest common factor of g and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-24)*4\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h**3 - 34 + 34 - 21*h + 23*h.\nAnswer: 29*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11*g**2 + 8*g - 62. Let a(u) = -11*u**2 - 8*u + 71. Let y(z) = 5*a(z) + 6*h(z). Let k = 16 + -24. Is y(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*x + 2*x. Let f be x\/(-10) - 16\/(-5). Suppose 6*g - f*g = 21. What is the remainder when g is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:24 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 76 = 3*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530531926 and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 10*k - 39. Let v be q(-14). Suppose -4*w + 51 = -v. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * -1.532.\nAnswer: 2.4512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * 40.\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 32 - 569*v + 9 + 11 as c + a*v and give a.\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005131857 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n + 36. Suppose -4*t - i = -n, -13 = -2*t - 0*i + i. Suppose -5*w = 5*b - 4*b - 15, t*w = 0. Solve -2*x + 5*x - b = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 34503959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f - 45*f - 13 = -a, 5*a - 2*f - 93 = 0. Suppose 3*s = -8 + 2. Sort a, s, 4 in decreasing order.\nAnswer: a, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.3 + 0.3. Let v be (((-4)\/(-30))\/2)\/(378\/(-1260)). Which is the biggest value? (a) -2 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 5*f - 1. Let s be h(-3). Put 7, s, -2, 5 in descending order.\nAnswer: 7, 5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10716.32 to the nearest ten.\nAnswer: -10720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2381*a**6*t - 3*a**4*v**3 - 2*a**2*t + 59*a**2*v**2 + 2*a*t*v - 18*t*v**2 + 2*v**3 wrt a?\nAnswer: -285720*a**3*t - 72*a*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 419\/11 - 37. Does 1 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 3, -1, -16, 1995 in ascending order.\nAnswer: -16, -1, -4\/9, 3, 1995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*d + 309495 = 0, -3*d - 309507 = x - 4*d. Let i = -191503 - x. What is i rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -12. Let y = -9 - p. Calculate the remainder when 7 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/414528 and 11\/10?\nAnswer: 2072640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 730 or 729?\nAnswer: 729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 1. Let u be i(-5). Suppose 5*x - u = -9. Factor -17*t**3 + x*t**2 + 5*t**2 - 2*t + 5*t**3 + 8*t**4 - 2*t**5.\nAnswer: -2*t*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 242898 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -915 - -1593. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6 - (-5 + (-402000064)\/(-12)). Round j to the nearest one million.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 0 + 0*b**2 - 1\/6*b**3 + 5*b. Let v(z) = -5*z. Calculate v(f(u)).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1440\/68)\/60*102\/(-78).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462695847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 275879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*t**2 + 153*t**2 - 19*t**3 - 47*t**2 - 58*t**2 - 24*t**3 + 48*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/20)\/(9\/396) + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -62, 1.\nAnswer: -62, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - -46 - -8) + (-6 - -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 67. Let h(g) = -345*g + 91. Determine z(h(k)).\nAnswer: 690*k - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**5\/8 - 141132*h**4 - 13278827616*h**3 = 0.\nAnswer: -188176, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 12*m - 81. Calculate n(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:18 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 12) to base 5.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - y + 3, -2*y = -3*p - 2*p. Let c be 0\/(2 - 1) - p. Suppose 0 = -2*o + c. Let v(n) = -2*n**2 - 1. Calculate v(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004424 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14877\/3752 + -1332\/469. Factor 255\/8*c + 87\/4 - f*c**2.\nAnswer: -3*(c - 29)*(3*c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from {y: 3, o: 1, i: 1, e: 3, s: 2, m: 2}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 45*b. Let u(d) = 5*d. What is t(u(n))?\nAnswer: 225*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65, 68, 69, 68, 65, 60?\n\"Answer: -r**2 + 6*r + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 9*z**2 + 5*z - 3. Let w(a) be the second derivative of a**4\/3 - a**3\/3 + a**2\/2 - 2*a. Let i = 7 - 5. Give i*m(d) + 5*w(d).\nAnswer: -2*d**3 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5\/5 + 18*l**4\/5 - 158*l**3\/5 + 288*l**2\/5 - 152*l\/5 = 0 for l.\nAnswer: -19\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 5*r**2 - 8*r - 18. Give k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3037*c - 877. Is p(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132687 is divided by 2475?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 139744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*w**2 + 25*w - 25*w)*(-2 - 1 + 2)*(-4*w**2 + w**2 + w**2) + (-9 + 9 + 2*w)*(-4 + 2*w**3 + 4) as m*w**2 + o*w**3 + p*w**4 + b*w + c and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 28*w**2 + 16*w + 7. Let p be h(9). What is the highest common divisor of p and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 282013 + 12*u - 282622 - 14*u to the form w*u + s and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 k when four letters picked without replacement from kkakzzk.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2753 and 0.2.\nAnswer: -2752.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 102\/36 - (-15)\/(-18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a275 (base 12) in base 2?\nAnswer: -1001010111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -338568 + 1127903. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -1.41?\nAnswer: -29.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 16. Let t = i + -7. Let q = 3\/11 + -1\/44. What is the second smallest value in -2\/13, q, t?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238184 divided by -19.\nAnswer: 12536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 926202087 to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93494 - 4.\nAnswer: 93490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2702 and 47698.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11*3*-14*1\/21\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-9))\/(-4))\/(1\/((-12)\/6)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - 3. Let c(g) = -2*g + 2. Let z(r) = -3*c(r) - 2*u(r). Suppose 5*n + 8 = 2*t - 1, -9 = -t + n. Let s(w) = 12*w - w**2 - t*w. Determine s(z(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018215011778 to six decimal places.\nAnswer: 0.018215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*m + 2 - 4. Let c = 4 + -3. Sort m, c, -7, 4 in decreasing order.\nAnswer: 4, c, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 7*f - 2. Let v be r(-7). Suppose 0*i + 5 = -2*i - d, 30 = -i + 5*d. Let p be ((-2)\/4)\/(25\/(-20)). Sort v, i, p in decreasing order.\nAnswer: p, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42252061.\nAnswer: 42252061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107 and 10807?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85017962?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 53, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-nine fifths of a millisecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15151420 + -44?\nAnswer: -15151504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 11. Suppose -29*i + 10*i + 57 = 0. Calculate r(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.4926 - -6.5. What is v rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**3 + 4*i**2 - 3*i. Let y(q) = 15*q**3 - 16*q**2 + 11*q. Give -22*s(d) - 6*y(d).\nAnswer: -2*d**3 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/255)\/(2\/(-3))*3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = 0, 4*s - 4*v = 6*s + 6. Let h be 6 + 1\/(s\/20). Is (20\/8 - 2) + 3\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36159 - -37676. Calculate the greatest common factor of l and 1312.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -328557 - -1637339\/5. Let h = -10813\/10 - m. What is the common denominator of -63\/20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 93, 217, 429, 759, 1237, 1893, 2757?\n\"Answer: 5*l**3 - l**2 + 34*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1470232*f**3 - 2940245*f**3 + 1470237*f**3.\nAnswer: 224*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -773*b**3 + 4*b**2 + 4*b + 8. Let j(q) = -776*q**3 + 3*q**2 + 3*q + 6. Give 4*j(t) - 3*l(t).\nAnswer: -785*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g + 256. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -0.59, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22609, 45216, 67823?\nAnswer: 90430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -178 - 466*g**2 + 464*g**2 - 245 to d*g**2 + b*g + m and give m.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 899 (base 10) in base 9?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -694 + 665 - (0 - 11).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 39*y + 2*y)*(-1 + 2 + 1).\nAnswer: 82*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a - 12b1d5?\nAnswer: -12b1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 5\/3*z**3 + 0*z**2 + 0*z - 2. What is the units digit of x(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58262\/9 + 6484. Let v = -989\/18 + z. What is the common denominator of v and 2238\/(-693) - (-16)\/336?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/41040 and 59\/1080.\nAnswer: 41040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 6*z**2 - 2*z - 9. Let h be m(-6). Let j be (3 - (-3 + 3)) + -1. Suppose j*i - 3*i = h. Put 4, i, 1 in ascending order.\nAnswer: i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y = -56. Calculate the remainder when 53 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l - 1. Suppose 4*h - 10 = -3*a, 0*h = 4*h - 2*a. Calculate the least common multiple of w(h) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 0*h**2 + 126 - 121 + h**2. Determine i(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -593 + 1749. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**4 - w**3\/6 - w**2. Let u be p(2). Let b = 102 - u. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(7711\/(-594) + (5 - -8))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9 = 3. Sort j, -2, -4 in ascending order.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -48 and -0.08.\nAnswer: -48.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*v + 140 - 229 + 86 + 70*v to m + n*v and give n.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 3231 = 231. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.6 (b) 200 (c) 4 (d) -98\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 + 3 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 307849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(14\/4 + -2). Suppose -4*v = -c - 52, -t*v = 5*c - 9 - 30. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n**2 + 1. Let h be y(-1). Suppose 3*m = -3 + h. Suppose 11 = d - 4*c, 0*c - 2*c = m*d - 32. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 1, p: 1, e: 10, v: 1}. What is prob of picking 1 p, 1 q, and 1 y?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71157906133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.39 - 1.11. Let z = r + 23. Which is the second smallest value? (a) z (b) 2 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 1773*d + 232854.\nAnswer: 3*(d - 394)*(d - 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1644237 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 103762356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/6*-1*(-109)\/(148785\/1260)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013190136 rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199422081?\nAnswer: 11, 13, 37, 226691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -601*t**2 - 5*t - 5. Let j(o) = -301*o**2 - 3*o - 3. Give 5*j(q) - 3*w(q).\nAnswer: 298*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 807733.1ml to litres.\nAnswer: 807.7331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 25*t - 310. Give v(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.404 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 362747?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from {j: 1, q: 2, m: 2, g: 1, i: 2, z: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 7*x. Suppose 4*f - 50 = -0*l + 3*l, f - 16 = -l. Let z = f + -8. Let j be q(z). Is -6 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 63 = -3*o, -3*s + 4*o - 47 + 6 = 0. Let b be 65\/s - 4\/6. Let j be b\/3*-10000*942. Round j to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 3*p**4 - p**2)*(0 - p + 0)*(-2 + 5 + 33)*(-2 + 2 - 2).\nAnswer: 216*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 152634641 to the power of 1\/2, to the nearest integer?\nAnswer: 12355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0119 times -2?\nAnswer: 2.0238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -6.92 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - -11*(-2)\/22. Factor 0*o + 0 - 2\/3*o**j.\nAnswer: -2*o**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -50. Let p be ((-52)\/v)\/((-8)\/(-12)). Suppose -5*o = p*o - 54. Solve -2*a - o*a + 25 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 7:22 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 7*l - 2*l - 20, l - 5*w = 24. Let y = 31.2 - 31. Which is the nearest to l? (a) -3\/2 (b) 1\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - 2*h + 2*h - h**2)*(h**2 + 0*h**2 - 3*h**2)*(-3 - 1 + 3).\nAnswer: -4*h**5 - 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2967 + -2955. Solve -c*s = 35 + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3 + p**2 + 2 + 0*p**3 - p - p**3 - 5. Let b be g(0). What is the units digit of (-4)\/b + (-61)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -163*c - 10. Let t be v(-3). Do t and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2*g + 2*g)*(0 - 3*g + 0) + g - 4*g**2 - g + g**2 + 3*g**2 + 5*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 0)\/((-3)\/267). Round a to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 412*-1.446.\nAnswer: -595.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*b**2*k**3 + 52*b**2*k**2 + 552*b*k**3 + 2*b*k - 52*k**2 wrt k.\nAnswer: -66*b**2 + 3312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2*y = 6, -9 = -10*v + 6*v - y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at most -5000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)\/b*b*b*b\/b**(2\/5))\/(b*b**(-1\/7)\/b*b**(-3\/7)\/b)*(b\/b**(-1))**(1\/19)\/(b*(b*(b*b*b**(-1\/4)*b)\/b*b*b)\/b*b*b)**(4\/23) assuming b is positive.\nAnswer: b**(1572\/15295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d36c (base 16) to base 11.\nAnswer: -37734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4520 and 14332129.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (110\/25)\/(4\/(-20)). Let k = r + 23. Let n(j) = 3*j - 2. Let m be n(k). Solve 5 = -5*z + 4*g, 5*z - 3*g + m = -9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7. Suppose 0*z + z = -g. Let t be (z\/(-3))\/2*0. Solve -5*v + 5*m + 25 = t, -3*v - 4*m - 2 = -10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**26*(z*(z*z**(-19)\/z*z)\/z*z)\/z)\/(z**1\/z**5))**33 assuming z is positive.\nAnswer: z**396","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109.06304 + 451.90792. Let s = y - 561. Round s to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 498 and 82917.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/8 - (0 - 2). Suppose -124 = l*h - 46. Let k = 83 + h. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000657574 rounded to six dps?\nAnswer: -0.000658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a - 0*a. Suppose 5*l - s + 6*s - 35 = 0, a*l + 9 = 3*s. Solve -6*u + 20 = -l*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q. Suppose -4*u - 2*y = -10, 9*y - 5*y - 12 = -4*u. Let d(f) = -5556*f + 5556*f + 2 + 5*f**u. Determine d(z(n)).\nAnswer: 45*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.556064km in micrometers?\nAnswer: 9556064000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.018 and -6507666.\nAnswer: 117137.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r - 21. Let z be g(-19). Let t = -88 + z. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, 27, 59, 101, 153, 215?\n\"Answer: 5*z**2 + 7*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - (-5 + 7)) + (-56 - -72) + 8.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227914108?\nAnswer: 2, 31, 383, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r - 11. Let z be m(-8). Let i = z + -11. Let d(s) = 8*s + 2. Let v be d(2). What is the highest common divisor of v and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + (sqrt(76) - -2*sqrt(76)*-1 - sqrt(76))))\/(sqrt(40)\/sqrt(640)))**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*s**3 - 193*s**3 + 116*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*r = 2, 0*w + 8 = 3*w - 2*r. What is the remainder when 345 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c**2 - 170 - 172 + 342.\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.336233 rounded to 3 decimal places?\nAnswer: 0.336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -15*v + 22*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w - w**4 - 5 + w**4 + 2*w**4 + 42*w**3 - 75*w**3 + 36*w**3 in the form r*w**3 + o*w**2 + d + m*w + b*w**4 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/48*20\/(-15).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 11919*c - 23850.\nAnswer: 3*(c - 3975)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66053332 divided by -2.\nAnswer: 33026666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 151360 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63\/316 + 4\/79. Which is the fourth smallest value? (a) r (b) -4\/7 (c) 1\/5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3\/2 (b) 27 (c) -2\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/57? (a) -9 (b) 2\/9 (c) 0.2 (d) -153\/2 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(14*d - 12 + 12)*(6*d**4 - 10*d**4 - 9*d**4).\nAnswer: 182*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/20 - 30\/200*-12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/8 - 21\/(-4) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-12151)\/(-290) + (-2)\/(-20) - 132\/(-11)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140500 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/44 - 7\/4. Let t(y) = 20*y + 3. Let x(g) = -18*g - 3. Let n(p) = 5*t(p) + 6*x(p). Calculate n(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.35796 minus 1909670814?\nAnswer: -1909670812.64204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -554\/5 (b) 2\/3 (c) -1\/23 (d) 1\/3 (e) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -0.6, 0, 0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(sqrt(12) - sqrt(108)))\/(sqrt(216) - 5*sqrt(216)*-2 - sqrt(216)).\nAnswer: sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 2828.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from {f: 6, p: 12}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -5) + -11 - (-4 - (-1 + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -1\/6*s**3 - 1\/4*s**4 + 0*s + 0 - 5*s**2. Determine g(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/21 in 1296, -6, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 65*s**2 - 9*s + 3. Let z(b) = b**2 + 1. What is -m(a) + 3*z(a)?\nAnswer: -62*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -109 + 3*k + 38\/3*k**3 + 0*k**2. Differentiate m(t) wrt t.\nAnswer: 76*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -476577208.5 to the nearest one million.\nAnswer: -477000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13699185, -27398376, -41097567, -54796758, -68495949?\n\"Answer: -13699191*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*r - 1. Solve -4*q = 5*m + 2 + 15, -m = 3*q - r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*(f\/(f*f*f*f**(-7)))\/f)\/(f**(-2\/7))**(-1\/46)*(f\/(f*f\/f**(1\/4))*f*f*f**(-3)*f)\/(f\/((f*f**(-3))\/f)*f**(-3)*f) assuming f is positive.\nAnswer: f**(4021\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = -4. Let h(q) = -1 + 0*q + q - 4. Let f be h(g). Put f, 0.2, 1 in decreasing order.\nAnswer: 1, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 30548.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 5*b - 2. Suppose 3 = 3*d + 15. Let c be z(d). Let q = c - -17. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1340518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(16\/14) - (-1)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*i**2\/5 - 2870*i - 210125 = 0 for i.\nAnswer: -1025\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d - p + 171 = 0, -3*p = -3*d + 117. Let t(u) = -5*u - 2. Let w be t(-6). What is the highest common divisor of w and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 10*j + 19. Let g(m) = -13*m**2 + 283*m + 2. Determine g(c(b)).\nAnswer: -1300*b**2 - 2110*b + 686","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -0.01 (b) -1\/5 (c) 0 (d) 1.5 (e) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -30. Let g be (-27)\/l + -5 + (-7)\/(-2). Solve 0 = g*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21 (b) 1\/10 (c) 0.5 (d) 24.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**0)**20*g**(1\/5)*g**1 assuming g is positive.\nAnswer: g**(106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -416729*k - 9584775. Calculate m(-23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**4\/4 - 3*f**3 - 2*f**2 - 2*f + 10. Is v(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 4*s**2 + 4*s - 4. Suppose -2*m + 40 + 2 = 0. Let i be (-2)\/10 - m\/(-5). List the prime factors of v(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*v**5 - 456*v**2*y - v*y - 2*v + 1696*y - 3 wrt v.\nAnswer: -1480*v**3 - 912*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j + 76. Let q be n(-9). Solve 0 = 3*f + q*k + 25, -f + 5 = -2*k - 0*k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**6\/45 - 3*s**5\/10 - 11*s**4\/6 - 35*s**3\/9 - 4*s**2 - 111*s - 20. Let b(o) be the first derivative of z(o). Factor b(q).\nAnswer: 2*(q - 12)*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 357876.\nAnswer: 1\/89469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 461520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.28 - 2.18. Let m = o + 2. Let n = -490 + 486. What is the closest to m in n, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76024 and 820053.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 4*m + 0*m)*(m + 3 - 3)*(2*m + 0*m + m)*(-1 - m + 1) - 14*m**4 + 4*m**4 - 14*m**4.\nAnswer: -21*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26478, 54572, 82666, 110760, 138854, 166948?\n\"Answer: 28094*i - 1616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2. Let u(t) = -45*t - 2. Let q(x) = 104*x + 74 + 302*x - 29 + 584*x. Let r(s) = -6*q(s) - 135*u(s). Give r(y(j)).\nAnswer: -270*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35395 is divided by 133.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179.5 - -179. Let o be 4\/(-10)*5\/7. Which is the third biggest value? (a) o (b) f (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.461048 to one decimal place.\nAnswer: 26.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9242155 minus 212.9?\nAnswer: -211.9757845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 47. Let p(y) = -2130*y**3 + 17*y**2 - 11*y. Let o be p(m). Suppose -o - 2165754 = -8*h. What is h rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -4*o**3\/15 + 838*o**2\/5 - 1672*o\/5 - 9360. Determine j, given that n(j) = 0.\nAnswer: 1, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 988001060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5060?\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 2867\nAnswer: -8601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 + 31 + -6 - 0\/2. Suppose -8*h - f = -9*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**4\/60 - b**3\/10 - 7*b. Find y, given that o(y) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -3141.2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -207274935 divided by 705?\nAnswer: -294007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 + -138. Let h(x) = x**3 - 5*x**2 + 4. What is the smallest common multiple of 6\/(-12) - t\/6 and h(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 154.895 and 5.237.\nAnswer: 160.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0 (c) -0.4 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/108)\/((-70)\/56). What is the smallest value in 0.1, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-1\/11))*(v**0\/v)\/v)\/((v*v**(-4)*v*v)\/(v**(-1\/7)\/v*v*v)))**44 assuming v is positive.\nAnswer: v**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 331, 19\/25, -3.\nAnswer: -3, 19\/25, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1150 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -813 - -816. Let d(j) = 4 - 4 - j + j**2 + 1. Give d(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i - 2. Let t(l) = 5*l + 3. Suppose 12 + 12 = -3*d. Determine d*s(y) - 5*t(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3000, 3003, 3006, 3009, 3012, 3015?\n\"Answer: 3*o + 2997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*s + 26, 18 = 5*v - 2. Solve 20 = -s*j - m, -m = -5*j + m - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/3, -0.2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 5) in base 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 70. Let v = -3 - -8. Which is the second biggest value? (a) v (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**4 - v**3 + v - 1. Let k(i) = -2*i**3 + 9*i - 2. Let r(f) = -k(f) + 2*w(f). What is the second derivative of r(o) wrt o?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2367*h**4 + 3694*h**2 + 2.\nAnswer: 56808*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 351, 814, 2, 5 in decreasing order.\nAnswer: 814, 351, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6 = -m + 1, m - 3 = -3*r. Suppose -4*x - 33 - 15 = m. Let z be -1 - (4 - 4) - (x + 5). Calculate the greatest common factor of z and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:31 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o. Let i(a) = 8*a**2 + 11*a - 59. Let w(d) be the first derivative of -d**3 - 2*d**2 + 20*d - 64. Let j(u) = -4*i(u) - 11*w(u). Calculate q(j(z)).\nAnswer: 3*z**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20 times -0.0453436\nAnswer: -0.906872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-891 + 891 + 18*i**3)*(-i + 3 - 2*i + 2*i).\nAnswer: -18*i**4 + 54*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**5\/60 - 3*y**4\/8 + y**3\/3 - y**2. Let g be s(-9). Suppose m + 248 = 4*v, 209 = g*v + v + 5*m. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddkkddkddkd. Give prob of sequence dd.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y**2 - 12*y + 9. Calculate q(5).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1.1, 1\/7, 9\/7, -7594, -4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1107 = 8*c - 17*c. Calculate the remainder when c is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 10 = -2*d, 2*d - 10 = d - i. Suppose -s - 19 = -d*h, -5*h - 2*s + 18 = -4*s. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20650.978 * 0.19\nAnswer: -3923.68582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 7. Let v(k) = k**3 - 2*k**2 - 6*k + 5. Let b be v(3). Let i be p(b). Suppose 5*q + 3476 = i*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**5\/5 - 30148*a**4\/5 - 834496*a**3\/5 + 49000752*a**2\/5 + 152734464*a - 24982262784\/5 = 0.\nAnswer: -7509, -38, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.53 + -0.03. Let s = -15 + 9.9. Let v = -1.1 - s. Put c, v, 1 in descending order.\nAnswer: v, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 302688.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(3 + (-1 - 1)). Solve -r - 5*y + 20 = -3*r, -m*r + 2*y - 8 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94.72 - 0.28. Let o = 66 + w. Let b = 28.07 + o. Round b to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/(2\/(-36)). Suppose 37*c - 32*c = 110. Let w = c + b. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.1. Let v = -28 - -41. Let s = 13.1 - v. Are c and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 + 3212*u + 93 + 94.\nAnswer: 3212*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b5f9 + 7?\nAnswer: -b5f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 3)*(7*v**4 - v**4 - 2*v**4 + (0 - 1 + 0)*(-4*v**4 + 4*v**4 - 2*v**4)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1454\/(-44) + 471\/10362?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5 + 118*d**4 + 119*d**3 = 0.\nAnswer: -1, 0, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1624 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 0*d**2 + d - 10*d + 4*d - 2 + 3*d. Let p be ((-2)\/(-5))\/(2\/30). Let x(z) = -z**2 + z + 1. Give p*x(n) + 3*k(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - 0. Let q = -4.7 - -5.5. Let d = q - 0.6. Sort d, z, 2\/11 in increasing order.\nAnswer: z, 2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 111.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -1\/21*g**4 + 0*g**2 + 3\/70*g**5 + 0*g**6 + 0 + 0*g**3 - 15*g - 1\/147*g**7. Find x, given that v(x) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41425 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 84 + 57 - w + 2 - 19.\nAnswer: 2*w - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 + 3 - 3 + 6*p.\nAnswer: 6*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (15080\/78)\/29 - (-2 + 4 + 6)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11747 + -23015\/2. Let w = -210 + t. Find the common denominator of w and -81\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o - 13. Let l be x(-4). Let t = l + 42. Suppose 0 = 3*f - t - 3. Solve 4*g - 4 = -i, 3*i = f*g + 5 + 7 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = -0*b. Let c(f) be the first derivative of 3\/4*f**4 + f - 1 + 0*f**3 + 0*f**2. Give c(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*sqrt(528) - sqrt(33))\/(6*(sqrt(176) + sqrt(11))))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmqp when four letters picked without replacement from {q: 6, m: 7, d: 1, p: 2, o: 1}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3.12 times 0.33\nAnswer: 1.0296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*t**5 + 57249*t**4 - 30*t**3 - t**2 + 366015722?\nAnswer: -960*t**2 + 1373976*t - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52373797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -8 + -1 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*q - 5*j + 35 = -57*q - 2*j, -10*q + 0*j = -2*j + 42 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 + (-10)\/(-4). Solve 2*m - 5 = -y*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2\/6 - 49\/6 = 0.\nAnswer: -7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/9)\/(5\/3). Let u = -4.8 - 27.2. Let q = u + 31. Which is the closest to q? (a) -5 (b) -2\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + n + 28, 0 = 2*r - 0*r - 3*n + 15. Let y be (-14038)\/r + 4\/18. Round y to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) -4 (c) -2\/15 (d) 1\/2374 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.22*-65.\nAnswer: -859.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - ((-2465)\/9 - (-3)\/(-27)).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.276 rounded to 1 decimal place?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v)\/v**(-4\/3) assuming v is positive.\nAnswer: v**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52960 - 7298. What is the ten thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2024632.\nAnswer: 2, 17, 14887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 146 = 7*x. Solve 0*w - x = -6*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/7, 2, 1\/113.\nAnswer: -2\/7, 1\/113, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 2, 174204, -1 in descending order.\nAnswer: 174204, 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2.800379 decades to centuries.\nAnswer: 0.2800379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 4*k. Let c be (-2)\/(k + 3\/(-6)). Solve -4 = -0*a - a + c*y, -4*a - 2*y = 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104 - -269. Let j(l) = -14*l + 1. Suppose -4*v + 3*v = 1. Let a be j(v). Calculate the highest common factor of s and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t + 143 - 71 - 2*t - t - 1168 as y*t + r and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-144)\/(-28)*28\/68. Which is bigger: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188070 is divided by 37570.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3)\/w)\/w)\/w**4*(w**(-4)*w)\/w*w\/w**2 assuming w is positive.\nAnswer: w**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - o = -3*o + 50, 12 = 3*o. Let p = z - -34. What is the greatest common factor of p and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uccacaccaaufrrccrarj. Give prob of sequence jarc.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0056 (b) -5 (c) -51 (d) -1 (e) 3 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/3 + (-5 - -3). Solve -q*s = -4*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(637) - (0 + (sqrt(637) + 1 - sqrt(637)) + sqrt(637)))**2)*-6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -202120201220 (base 3) in base 15?\nAnswer: -8008c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325794?\nAnswer: 2, 3, 7, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112\/9 - -1214\/99. Let n = 0.7 - -0.3. Which is the second biggest value? (a) n (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -19*a - 15. What are the prime factors of l(-8)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87380 divided by 17476\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*a + 28*a - 190 + 190 - 69*a**2 wrt a.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuauuauauu. Give prob of sequence uau.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229249, 229173, 229051, 228883?\nAnswer: 228669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29318 is divided by 1263.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000502 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9156 is divided by 2231?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -147. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1778965794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 70716?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 + 4*h + 17. Let b(x) = -x**2 - 50*x + 279. Let y be b(5). Let l(c) = 8 - 5 + 2*c**2 + 2*c + 5. Let s(z) = y*r(z) - 7*l(z). Factor s(w).\nAnswer: -2*(w - 3)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 5*c + 125. Let n = -161\/4 - c. Which is greater: -16 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3169638 > 3169637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 3*h)*(h + h**2 - h) + 2*h**2 - 2*h**2 - h**3 + (-1 + 1 + 1)*(-4 + 4 - h**3) + h**3 + 3*h**3 + 8*h**3.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35401 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npp when three letters picked without replacement from gpggppnnnngnggp?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131585 is divided by 1664?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12370 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence voh when three letters picked without replacement from hvtvhhhvqttmhooho.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/84*(-1)\/1*3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 + 1321?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j**2 + 4*j - 21. Let y be ((-40)\/28)\/(-5) - 40\/(-7). List the prime factors of k(y).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16168 - 143444\/9. Let z be 1*-230 - (0 - 0). Let s = z + n. What is the third biggest value in s, 5, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59 and -3221491.\nAnswer: 190067969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*l + 1094 - 1094 + 16*l + (-3 + 5 - 1)*(-2 + 2 - l) + 2*l - l + l)*(-3*l + 5 - 2*l + 6*l) in the form i*l**2 + a + h*l and give h.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 0 - -11 - 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q - 31. Let v be c(6). Let r be (-6 + v)\/(1 - 0). Let h be (30\/(-6) - -7)*-1. Sort r, h, 4.\nAnswer: r, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3 = -2*z - 12, -2*z - 10 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 9. Suppose 5*d + b = 7*d. What is the remainder when (-334)\/(-16) + d\/8 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1*(-15)\/(-105).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*n**2 - 29*n - 471*n**3 + 48*n - 19*n.\nAnswer: -471*n**3 - 178*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 32*y**2 - 14*y + 15. Let p be (240\/(-56))\/((-11)\/(-14) + -1). Is b(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 17*b**2 + 6*b - 1. Let g be y(-3). Let k = 238 + g. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 7*l**3\/5 + 2294*l**2\/5 - 7607*l\/5 + 1986\/5 = 0.\nAnswer: -331, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/10 + ((-8)\/(-26) - 5454\/26260).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2940)*-2)\/sqrt(5) - (-2*(sqrt(108)*3)**2 - (0 + -2 + sqrt(108))**2)) + 0.\nAnswer: -136*sqrt(3) + 2056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 12*u - 4. Calculate p(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x + 13*x - 67*x + 19*x + 16*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9398, 18798, 28198?\nAnswer: 37598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-116)\/(-20) + (96\/(-20) - -5). Solve y = -3*w, g + 0*w - 2*w - 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-6 - -2) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.371 - 2.371. Which is the fourth biggest value? (a) o (b) 2.4 (c) 9 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j - 2 = 0. Suppose -z = -j*k - 16, -4*z = k - 3*k - 52. Calculate the remainder when (-18)\/(-6) - ((5 - 26) + 2) is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1160 + 1164. Solve 2*t = 3*o + 1 + 1, -3*o = -z*t - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**4 - 165*x**3 - 1018*x**2 + 13764*x - 22120 = 0.\nAnswer: -158, -14, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - 10*o + 10. What is b(-9)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -28, -2.8, -62, 3?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 21.\nAnswer: -25\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 1. Let d(x) = 5*x + 1 + 3*x**2 + 1 - 2*x**2 + 0. Determine -d(o) + 3*y(o).\nAnswer: -o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 696 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 81*y - 121*y - 8266 = 3174 for y.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 1\/4055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73783438*v**4 - 516804630.\nAnswer: -295133752*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.61709ml to litres.\nAnswer: 0.04361709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3090675 and 82\/189225.\nAnswer: 9272025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 1.1. Let y = 11 + -10. What is the closest to y in 9, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = 2*x + 10, 0 = x + 2. Solve -3*m = 2*m - 2*o - 22, m - l = o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + u**2 - u + 59. What is the remainder when b(0) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 722 and 14?\nAnswer: 5054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 94 + 0*n - 22*n - 63*n + 36 wrt n?\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859*d - 268*d + 563*d.\nAnswer: 1154*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 477 and 217.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2\/(6\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 + 2*m**3 + 28 + 36 - 90 - m**3 - 15*m**2 - 8*m as i*m**2 + u*m + w + x*m**3 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*h - 52 = 0, 2*o + 46 = 6*o - 2*h. Let q(s) = -7*s**2 - 1. Let w be q(1). Let b = -5 - w. What is the remainder when o is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*a = 331*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 33*o - 13. Let s be v(33). Which is the nearest to s? (a) -2\/7 (b) 3 (c) -0.1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + f = 4*f + 1, 8 = -536*h + 262*h + 272*h - 4*f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 276 in -3, 0.038, 3\/2, -1\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, 1\/6, 2\/3, -4, 1\/5.\nAnswer: -12, -4, 1\/6, 1\/5, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -17\/7*w - 5\/7*w**2 - 6\/7 = 0. Calculate w.\nAnswer: -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.20088044 to 3 decimal places.\nAnswer: 52.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89\/(-4)*776\/(-31622)*-163?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**3 + 2*a**2 + 2*a - 2. Let l be q(2). Does 11 divide 1\/(l\/(-22) - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121312361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(193 + 7396*h + h**2 - 14769*h + 7376*h + 4) in the form g*h**2 + b*h + i and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1633 + 814 - 15*w**2 + 812 - w**3 + 16*w. Determine p(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*c + 14, 3*c - 5*c - 4*f = 10. Let a = 6 - 5. Calculate the remainder when c is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000101 + -100110?\nAnswer: -10000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-18\/11)\/v*v*v)**(-28)\/(((v\/(v\/v**(-28))*v)\/v)\/(v*v\/(v*v**(7\/6))*v)))**50 assuming v is positive.\nAnswer: v**(76975\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4 - 6 - 27*j - 25*j - 4. Let s(n) = -53*n - 5. Let l(x) = 5*s(x) - 6*w(x). Let h(v) = -31*v - 7. Let m(p) = 8*h(p) + 5*l(p). Give m(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 1 = 2*q - 5*r, -q - 7 = 2*r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 6584 - 1944. Let a = b + -373. What are the prime factors of a?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-2)*((-40480)\/924)\/184.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s. Let b be 14\/10 + 2\/(-5). Let m be h(b). Let x = 4 + m. Solve 0 = 3*i + 4*f + x, -4*f - 43 = -3*i - 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 2896822425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 66?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1431*d - 322090. Calculate f(-225).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 932880 and 344448.\nAnswer: 22389120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t - 182 = 578. Does 30 divide (-82823)\/(-115) + (8\/t)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -73, -158, -243, -328?\n\"Answer: -85*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94212 by 36.\nAnswer: -2617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, -42, -87, -160, -267, -414, -607, -852?\n\"Answer: -x**3 - 5*x**2 - x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0 = 1. Let z be 3*(-2)\/36*-12. Let d be (-7)\/(2*t\/z). Solve -2*n - 14 = -d*n - q, 3*q - 16 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14008 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**8\/168 + 11*i**7\/210 + i**5\/60 - 11*i**4\/24 - 19*i**2. Find the third derivative of j(c) wrt c.\nAnswer: 120*c**2 + 264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -728 + 836. Calculate the lowest common multiple of d and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 1. Let r(u) = -4. Let q(v) = -1. Let i(n) = 9*q(n) - 2*r(n). Let d(l) = 2*i(l) - 3*s(l). List the prime factors of d(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78028.\nAnswer: 2, 19507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 21.9. Let x = -4.89 + -0.11. Which is the closest to -0.2? (a) x (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85449*m**2*n**3 - 236811311*m**2*n**2 - 94*m*n**4 wrt n.\nAnswer: 512694*m**2 - 2256*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3813, 7624, 11435, 15246, 19057, 22868?\n\"Answer: 3811*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/(-12*6\/(-240))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/67? (a) -6 (b) 9 (c) -0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 0.1 (b) -1.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (11 - (1099005\/(-30) - 0)) + 6\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1)\/((-351)\/39*(-11)\/54).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45599 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 550 + 362. Let z be x\/19 - (1 - -3). Solve 5 = -z*u + 7*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m - 149*m = 155*m - 522. What is the remainder when 735 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (9 - 1 - (-21 + 25))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-10)*(1 + -6). Let d(v) = 3*v**2 + 4*v - 24. Let i(k) = 2*k**2 + 3*k - 16. Determine z*d(o) + 7*i(o).\nAnswer: -o**2 + o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 - 82. Which is the closest to 5\/6? (a) t (b) 9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 0.08, -1, 8, 85 in descending order.\nAnswer: 85, 8, 4\/5, 0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3165 - -3224. Solve 8*w = y - 19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:46 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**3\/3 - 5. Let a(j) = -2*j**2 + 2*j + 2. Let t(b) = 8*b**2 - 9*b - 9. Let u(p) = 9*a(p) + 2*t(p). Determine x(u(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -499, -500, -501, -502?\n\"Answer: -p - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*z - 2*p - p, -19 = 4*z + p. Let v be z + 6 - 759\/238. Let k = 15\/14 + v. Which is the smallest value? (a) -0.4 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67409234 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 224033 + -5?\nAnswer: 224025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 2. Suppose -4*v + 4*l + l - 5 = 0, 4*v - 4 = -4*l. Let s = v + 4. Solve s = h + o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23*15\/(-1725))\/(2\/(-5))*52\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqq when three letters picked without replacement from {o: 7, q: 3}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*u - 11605 + 23165 + 102*u - 11560.\nAnswer: 188*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(720) - (sqrt(720) + 0 + 3)) + 1*sqrt(720) + 1 + 5) + -3)*-2)**2.\nAnswer: 8640*sqrt(5) + 73296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17253, -34377, -51381, -68265?\n\"Answer: 60*y**2 - 17304*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 188 + -155. Let a = 74 + -113. Let g = i - a. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - i + 4*i = 10*i + 585 for i.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 + 20 + 18 + 2*r + 20 as y + o*r and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**5 + 0*a**5 + 2*a**5 + (2*a**4 - 4*a**4 + 3*a**4)*(-4*a - 4*a + a) - 8*a**5 - 37*a**2 + 37*a**2 + a**5 - 2*a**5 + 0*a**5.\nAnswer: -17*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -101013, -101026, -101039, -101052, -101065, -101078?\n\"Answer: -13*n - 101000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0593 - -0.1593. What is the nearest to -4 in -58, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15215278.968 rounded to the nearest ten thousand?\nAnswer: 15220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/120*10 - (-1)\/(-3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245, -238, -235, -236, -241, -250, -263?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 2)\/(2\/(-9)). Let h = 28 + g. Let r = h - 4. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 13) + (-58 - (-26 - (30 - 34)))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*17\/(340\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4277 a multiple of 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r + 15. What is b(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t + 5*q - 45 = 0, -q - 11 = 3*t. Let n(x) = -2*x. Let b(r) = -10*r. Let g(v) = 3*b(v) - 14*n(v). Calculate g(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2256 = -84*w - 1847 + 2111 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68528 + -68511. Suppose -4*w + 87 + 185 = 0. What is the greatest common factor of w and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -36. Let t be (-2 - (-10)\/4)*-4. Let m = t - -1. Which is the nearest to 1? (a) -5 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -25 + (-6574)\/(-266) + 60\/14. Solve 0 = v*w - 8, b - 4*w = -7*w + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3693, 4889, 6877, 9651, 13205?\n\"Answer: -y**3 + 402*y**2 - 3*y + 3295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((4 - 2) + 1 + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*(-10)\/60\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 8*l**2 + 4*l - 5. What is the remainder when 29 is divided by x(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -4, 6, 4, -158420 in ascending order.\nAnswer: -158420, -4, 4, 6, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 258 - 261 = -3*v, 19 = 4*i + 5*v. Calculate the least common multiple of i and ((-2)\/3)\/((-1)\/27).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 26*p**2 + 52*p - 8. Is w(25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + i - 4*i - 2 = 0, 70*o - 6*i = 3*i - 4*i + 27 + 103 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*u + 6*p + 1770, -p - 355 = -u. Is 25 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -11. Let a(v) = -9*v - 26. Let t(z) = -4*z - 13. Let h(d) = 2*a(d) - 5*t(d). Let q be h(-6). Put q, c, 0 in decreasing order.\nAnswer: c, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-8 - -19) + (19 - -1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0080348 to 4 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196832443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1793.0113 rounded to the nearest 10?\nAnswer: -1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -7*h**2\/2 + 2342. Let v(f) be the second derivative of -2*f**4\/3 - 3*f. Determine a(v(r)).\nAnswer: 56*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4321270 (base 8) in base 15?\nAnswer: -17c6b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/8 of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257656 is divided by 976?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/3, 0.4, -0.07, 2\/441.\nAnswer: -2\/3, -0.07, 2\/441, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*w = 342, 0 = -143*w + 148*w + 20. Let f = 20 + -14. What is the greatest common factor of f and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 347\/28 - 47\/4. Let k = 17\/21 - v. Let m(j) = -j**3 + 8*j**2 - j + 9. Let d be m(8). Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1192*y - 83. Is t(-36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 d when four letters picked without replacement from {z: 2, v: 4, i: 2, k: 2, d: 7, l: 2}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 537173.3 hours to seconds.\nAnswer: 1933823880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, -5, 2, 3 in decreasing order.\nAnswer: 11, 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-20)*o*o*o)\/((o**(-15)*o)\/o))**(11\/6) assuming o is positive.\nAnswer: o**(220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2 - 0, 5*f + 5*o - 15 = 0. Let d = 10 - 6. What is the remainder when 8 is divided by d - 1\/(f\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luiypiiyyppypliiuuy. What is prob of sequence yu?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + 1.96. Let c = -676 - -675.9. What is the third biggest value in g, c, 0.1, -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 49*g. Let t(r) = 3047*r. Give k(t(v)).\nAnswer: 18568418*v**2 - 149303*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 15*s**2 + 202*s - 28. Calculate g(24).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2577*a - 205686 = 2559*a. What are the prime factors of a?\nAnswer: 3, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 590 (b) -2 (c) -1.8 (d) -2\/11 (e) -4 (f) -2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/49932 and 28\/3477?\nAnswer: 3045852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -8.59?\nAnswer: 8.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a millennium in decades?\nAnswer: 1825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 26, 5, 0.2.\nAnswer: 0.2, 4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -179 (b) -395 (c) -9 (d) -4 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1544*r + 6667 + 5378 = 541*r - 29078 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.44 - 1.44. What is the third smallest value in 0.2, p, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -20*g**4 + 28869015*g**3 - 10417732295225*g**2 - 13022203259640*g - 2604442095380 = 0.\nAnswer: -1, -1\/4, 721726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + d + 2. Let s be u(0). Suppose -6*w + s*w - 91 = -5*a, a = 5*w + 14. What is the remainder when a is divided by (-38)\/(-6) - (-4)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 47. Let f be p(-25). Let j = f + 76. Let z be (-2)\/(-5) - (-4)\/(-10). Solve -3*l + j - 1 = z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82 or -9017?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3437 divide 598195710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -189669 - -277934. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 8:10 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61*i**2 + 65*i**2 - 125*i**2 - 25)*(-109 + 26*i**2 + 109) to the form b + n*i + h*i**2 + p*i**4 + q*i**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + (4*(-2 + sqrt(605) + sqrt(605)) - (3*sqrt(4050) + sqrt(50))\/sqrt(10)))**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83349 by 63.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-6) + 0 - 1. Let u(c) = c**2 - 7*c - 2. Let f be u(8). Let s be ((-16)\/60)\/(f\/9). Do s and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.7243km to micrometers.\nAnswer: 94724300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8430 + -8430.17. Sort -2\/7, 4, 5, h, 0.05 in decreasing order.\nAnswer: 5, 4, 0.05, h, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -123 (c) 0 (d) 0.4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*x - 154, 3*x - 6*x - 5*o + 85 = 0. Which is smaller: x or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92109 is divided by 11276.\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.31\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24525 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.18 - -6.28. Let j be 62\/(-70) + 4\/14. Which is the smallest value? (a) j (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3\/2, -31.9, 20, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/9 + 32*v\/9.\nAnswer: -2*v*(v - 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4271235?\nAnswer: 3, 5, 284749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -189*g + 111*g + 203*g + 1000 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 17844.55 to the nearest 100.\nAnswer: 17800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.4, -10\/3, 0.3 in decreasing order.\nAnswer: 0.3, 1\/5, -0.4, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 303 - -1?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(3 + -2) + 2. Suppose 4*r - z - 4 = -0*z, r + z = 1. Calculate the greatest common divisor of a and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(2\/7))*x\/(x**(1\/9)\/x))**(3\/10))**38 assuming x is positive.\nAnswer: x**(3116\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 667774, 1335557, 2003342, 2671129?\n\"Answer: z**2 + 667780*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 182.186 + -182. Let c = n - 0.286. What is the closest to -2\/11 in c, 2\/5, 1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -406701827*h. Let m(q) = q. What is c(m(b))?\nAnswer: -406701827*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n**3 - 20*n**3 + 47*n**3 + 13*n.\nAnswer: -n**3 + 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -371, 0, 9421, 3, -2 in ascending order.\nAnswer: -371, -2, 0, 3, 9421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1224*t**3 + 46*t**2 - 60*t + 15. Give w(1).\nAnswer: 1225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*b + 42, -3*p + 17 = -p - 3*b. Let s be (-4)\/p - (-289)\/4. Is s greater than or equal to 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvlcnjlq. What is prob of sequence cj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89885072?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.39 + 0.01. Let s = -30.9 - -31. Which is the closest to s? (a) v (b) 2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9355987 divided by 3.\nAnswer: 9355987\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czc when three letters picked without replacement from {z: 7, c: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*v - 0 - 2, 5*v + 1 = 2*q. Let a(c) be the second derivative of -c**3\/6 - c**2 + 5*c. Let h be a(q). Solve 4*o = -h + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12672362539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1022.96 + -1023. Put -2, 0.8, x in ascending order.\nAnswer: -2, x, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 150\/13, 0.2, -2\/7, -2\/5?\nAnswer: 150\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/18 + 57\/9 - (7 + -1). Factor -12\/11*m**2 + 6\/11*m + b + 6\/11*m**3.\nAnswer: 6*m*(m - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.62 times -360396\nAnswer: -223445.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 - 105*y + 105*y)*(-y + 3*y + 2*y) to p*y**3 + o + w*y**2 + m*y and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -506, -1012, -1518?\nAnswer: -2024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 12. Let z be c(-4). Solve 0 = b + 2*p + z, 3*b - 4*p = -2*p + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 86*i**2 - 157*i + 942. Let q be f(-84). Solve 22*z = 2*g + q*z + 16, -3*z + 12 = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387590 plus 5?\nAnswer: 387595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 286 - 94. What is the remainder when u is divided by 43 + 1050\/(-50) + 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47691112*d**3 - 45840608?\nAnswer: 143073336*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2) + (-5 - -7). Suppose g*r + 371 - 1262 = 0. Let b = -170 + r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 614681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4017410585?\nAnswer: 5, 803482117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.07 (b) -38592 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -819823503.41 and -480.\nAnswer: -819823983.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 22*u - 24. Let c be (156\/(-18) + 1)\/((-8)\/3 + 3). Calculate y(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.1 (b) 0 (c) -5 (d) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.11 less than -3.1693?\nAnswer: -7.2793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-2)\/((-2)\/(-46)*(-64)\/(-32)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 751834*t.\nAnswer: t*(t + 751834)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = 3, -s = d - 4. Suppose -2*j - 3*j - 2*m = -s, 4*j + 13 = -5*m. Solve 0 = j*k - u, -14 = -k - 3*u - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Suppose 0 = -8*n + a*n + 25. Suppose 2*z = -n*c - 8, -z + 4*c = 8*c + 10. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 3*r = 3*i + 135, 5*r = -170*i + 173*i + 143 for i.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6)*8)\/(2\/(-447)). Suppose -9*w - 664 = d. Let t = 151 + w. What is the remainder when 37 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 10*r + 14. Let d be ((-27)\/(-15))\/(-5 + 156\/30). Let s be z(d). Solve -4*c + 4 = 4*y, s*y - c = 2*y + 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -488886, -488885, -488884, -488883, -488882, -488881?\nAnswer: -488880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/24*((-102)\/(-119))\/(5\/(-7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-21))\/((-3)\/837))\/((-9)\/(-2331)*-37)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 80 + 99 + -58 + -80\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 0.1. Let z = -1025\/56 - -5237\/280. What is the closest to -1 in p, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - s = 4*j - 35, -5*j - 2*s + 86 = 0. Let l(b) = 12 + b + 0 + j - 3. Let m be l(0). Solve -6*d + d = m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 9*p + w, 3*p = -12*w - 498 + 363 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5883 - -5883. Solve v = 4*s - 4*z, 16*z - 12*z = 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 at most 1023\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/19 in 2, 3, -2, -36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-3)\/(5 - (3 - (-57)\/33)). Let p(g) = -g**3 - 9*g**2 - 11*g + 16. Determine p(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 14*m - 23. Let k(h) = -h**2 + 9*h - 18. Let q be k(8). Give w(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 2, -5, -2, 5 in ascending order.\nAnswer: -7, -5, -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49411, 99318, 149225, 199132?\nAnswer: 249039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1358*j**3 - 12*j**2.\nAnswer: 2*j**2*(679*j - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 49 = h, 0 = -h + 5*h + 2*z - 124. Find the second derivative of -114*u**5 - 13 - 2473*u + 1237*u + h*u**5 + 1235*u wrt u.\nAnswer: -1700*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-84))\/((-2)\/26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26 + 25)*3\/6. What is the nearest to d in 2, -0.3, -53, -1.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2144\/9 + -238. Is s <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y + 2*y - 7*y)*(9*y - 3*y - 1 + 0)*(-2 + 12*y**2 + 0 + 7*y**2) in the form h + r*y + m*y**3 + s*y**4 + n*y**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3757\/1764 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 36*v - 2 + 29*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - y + 2 = -7, -3*d = y + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = s - n - 4*n, 4*n - 41 = -5*s. Suppose 0 = -0*x + x - u - 7, 3*x - 13 = u. What is the third derivative of x*y**3 - 48*y + s*y**2 + 48*y wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 6)*(-3*s**2 + 2*s - 2*s + (0 + 0 + 2*s**2)*(-5 + 3 + 0))*(-s - 2 + 2)*(2 - 3 - 2).\nAnswer: -147*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from xvvxxxxvxxx?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-9) + (-110)\/(-30). Solve n*l + 8 = -8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022020 - 10210021?\nAnswer: -12002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 724 times 1363.73?\nAnswer: 987340.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(162) + 0) - (sqrt(162)*-1 + -1)) + 5 + 1 + -4 + 3 + sqrt(162) + sqrt(162))**2.\nAnswer: 216*sqrt(2) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-42) + (-54512)\/(-42)?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -68*8572\nAnswer: -582896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 22086 = 2*o, -11*o + 44166 = -7*o - w. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -143*b**2 + 31606*b - 38. Determine h(221).\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/44 and 163\/300?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 - -8.4. Let f = t - 16.928. Let i = f - -11. Round i to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17043.\nAnswer: 3, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -o + 9 - 4, -f - 3*o = -15. Suppose f = 2*n + n - 12. Let w = 0 + n. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x. Let o(q) be the third derivative of -q**8\/3360 + q**5\/15 - 9*q**2. Let t(a) be the third derivative of o(a). What is n(t(y))?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-60)*(-6)\/(-21).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 4. Suppose -5*a = 2*x + s, -a + 5*x - 18 = x. Put a, -4, 4, -1 in decreasing order.\nAnswer: 4, -1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002695 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -109. Let s = l + -103. Let j = -49.999714 - s. What is j rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234906 is divided by 3011?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-313)\/47576*(-88)\/11\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4022687.\nAnswer: 1\/4022687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142 - 100. Calculate the remainder when d is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 26*k - 105. Let f(l) = -58*l + 2. Determine w(f(c)).\nAnswer: 6728*c**2 + 1044*c - 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 + 3024*y + 295470 = 0. Calculate y.\nAnswer: -1407, -105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/40 and -79\/68?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2 + 17. Let m(z) be the third derivative of -z**5\/60 - z**3\/2 + 71*z**2. Let b(g) = 6*k(g) + 34*m(g). Let w(p) = -11*p**2. What is w(b(f))?\nAnswer: -176*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(343) - (sqrt(343)*2 + sqrt(343) + sqrt(343))) + 4 + 2 + 5)**2.\nAnswer: -378*sqrt(7) + 3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/12 - 7*u**2. Let k(j) = 0*j - j**2 + 0*j. Calculate k(d(s)).\nAnswer: -25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 446647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 12. Does 9 divide y + (-4 + 3)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359273*c**2 + 1546194*c**2 + 1778516*c**2.\nAnswer: 2965437*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b**3 - 4*b**3 + 0*b**3 - 3*b + b**3 - b**2 to y*b**3 + l*b + i + p*b**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 3*x + 3*i + 36 = 0, 22*x - 25 = -197*i + 192*i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 485 - 3393\/7. Factor d*w**2 - 2\/7*w - 4\/7.\nAnswer: 2*(w - 2)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9 - 155*x - x**2 + 170*x + 6. What is the remainder when y(12) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**2)**(23\/6)*d**(1\/2)*d**(-8\/7) assuming d is positive.\nAnswer: d**(-94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + 57. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 9*s + 10. Let w be q(4). Suppose 0 = -11*v + 28 + 49. Suppose v = k + 2. Solve k*l + 15 = 5*i, 4*l = l + 2*i - w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 8585*z**2 - 253030*z + 244440.\nAnswer: 5*(z - 28)*(z - 1)*(z + 1746)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 11:03 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-3)*(y\/(y\/(y\/(y\/(y\/(y*y*((y*y*y**(-3\/5))\/y*y*y)\/y))))))\/y*(y**(-2\/3)\/y)\/(y\/y**(-1)) assuming y is positive.\nAnswer: y**(-136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.01 + 4. Let m = p + -0.56. What is m rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -98*q**3 - q**2 + q + 1. Let y = 15 - 16. Is k(y) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 333 - 324. Suppose -5*y - 5*u = 10, 8*y - 5 = m*y - 2*u. Let l(x) = -x**3 - 2*x**2 - 4*x. What is l(y)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5559*i**2 + 32*i + 30. Is w(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 25. Suppose 4*i + t = 10. Suppose -i*s = -3*r - 5, -4*r - 26 = -4*s - 6. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51621\/8 - -6440. Calculate the common denominator of g and 101\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 3. Let y = -10 + 19. Let o be a\/(y\/(-20))*-78. What is o rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(50\/((-90)\/(-9)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -111, -114, -117, -120, -123?\n\"Answer: -3*b - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -18*t**2 + 248*t - 1944. Let b(g) = -8*g**2 + 128*g - 972. Let o(q) = -5*b(q) + 2*m(q). Suppose o(h) = 0. Calculate h.\nAnswer: 9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433540828 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -69816, 0.2, -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2 - 4772*j + 9549. What is x(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/28 + 1\/4. Let h = -7 - -1. Let w = -11 - h. Which is the closest to f? (a) w (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-40) + 43273\/(-3176)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -p + 5, 4*r + 2*p + 16 = 2. Which is the third smallest value? (a) r (b) -1\/6 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 591106848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*j + 24 = 0, 0 = -j + 4. Suppose 5 = 4*l + v. Is 1\/20 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, k: 5}. Give prob of sequence akak.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (228\/(-1425))\/(2\/(-5)). What is the nearest to -1 in -1\/2, 3, -0.7, h?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -638451.\nAnswer: -2\/70939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-50)*h*h\/(h\/((h\/h**(2\/27)*h)\/h)))**(-45))**(-43) assuming h is positive.\nAnswer: h**(-279070\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - -28. Let a = k - 30. Suppose 3*b = -i + 40 - 11, -b - a = -2*i. Calculate the highest common divisor of i and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27366 + 425. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.351 + -0.35039. What is d rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 23 = 5*x, 5*l + 2*x + 2*x - 8 = 0. Let o be (-3 + 1)*(-6)\/l. Let y = -428 - -436. Solve 5*n - o*n = -y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 2. Determine d(16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 0*p + 0*p)*(0 - 1 + 0) + (-4*p + p - 4*p + (5*p + p - 4*p)*(2 + 2 - 2) - 2*p + 0*p + 0*p + 2*p - 3 + 3)*(-2 + 3 - 3) as y*p + q and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, y: 1, m: 16}. Give prob of sequence sss.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:40 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2677 - -4662. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 63?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-60) - ((-15147)\/900)\/(-17).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -7, -6, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 142318 smaller than 142318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3675789*f + f**2 + 3 - 1837876*f - 1837913*f.\nAnswer: f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-63) - (-8)\/(-9). What is the third biggest value in 0.4, 2\/3, v, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 5*d**2 + 1. Let s = 6 + -11. Let z be c(s). Let a be (-16)\/(-10) + 18\/225*5. Solve 9 + 4 = 3*i - a*o, -4*i - o = z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from {k: 5, t: 4, o: 4, m: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*s - 55*s + 6*s**2 - s**3 + 0*s**2 + 9*s**2 - 139 + 75.\nAnswer: -(s - 8)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/2 + 37257*z**2\/2 - 347002383*z\/2 - 347039641\/2.\nAnswer: -(z - 18629)**2*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 s when three letters picked without replacement from {f: 7, d: 2, s: 11}?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-12))\/((-39)\/(-7098)*7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68\/3*f**2 - 4\/3*f**3 + 0*f + 0 = 0. Calculate f.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-57)\/(-30))*((-99)\/1155)\/((-15)\/70).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 525564 - 2300?\nAnswer: 523264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 + 3)*(-1 + 2 - 3)*(0*v + 5*v + 8*v).\nAnswer: -156*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 4*m**2 - 2*m + 2. Let s = 10 - 7. Calculate j(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.019 + 0.017874. What is d rounded to 5 decimal places?\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(4 - (-63)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000124186909 to 7 decimal places.\nAnswer: -0.0001242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = v - 3*f + 2, 2*f = 3*v - 4. Let q be (3\/2 + -2)\/(8\/(-576)). Suppose -2*r + 38 + q = v. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5276 + -1341. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 1 = j, -32*j + 37*j = 25 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*m - 31*m + 21*m + 40*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 20*p**2 - 13*p - 15. Let w(c) = -10*c**2 + 6*c + 7. Let b be (-4 - (-27)\/6)*12*1. Let q(k) = b*h(k) + 13*w(k). What is q(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29981.4 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/3185 and -39\/1225.\nAnswer: 15925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51163 and -0.015?\nAnswer: 51162.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2. Let n(v) = 1463*v. Calculate s(n(d)).\nAnswer: -4280738*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + (sqrt(57) - (sqrt(4617)*-3 - sqrt(57)))\/(sqrt(24)\/sqrt(128) - sqrt(3)) + 2).\nAnswer: -10 + 580*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -13*f**2 + 37*f**2 - 23*f**2. Let r(i) be the second derivative of 79*i**3\/3 - 11*i. Give r(x(d)).\nAnswer: 158*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 20, q - 70 = -u + 51. What is the remainder when u is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54840795?\nAnswer: 3, 5, 59, 61967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4891 + 3333. Let u = o - -1578.38. Let b = -20 + u. Round b to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 87984*l - 967648032.\nAnswer: -2*(l - 21996)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + 4. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 6:07 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + 0 + -1.\nAnswer: -1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.8 - 11.8. Suppose 0*c = 2*c - 6. Let a be (3\/5)\/(c\/4). Put a, m, -1 in descending order.\nAnswer: a, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1.8 (b) -62 (c) 0.129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + m + 2. Suppose m*l - 100 = -3*l. Suppose 4*o - 9 = z + 1, l = 4*o. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 862 = 5*w, 3*w - 329 = 4*l + 197. Which is greater: w or 685\/4?\nAnswer: 685\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 3*d**2 + 2*d - 3. Let c be t(3). Solve c = -f - 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01879 rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/8*8\/10. Let w = l + 6. What are the prime factors of ((-6)\/w + 1)*-30?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeevr. What is prob of picking 1 e and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**2 + 3*x**2 + x**2 + ((10*x - x + 2*x)*(-1 + 5 - 2) + (-14*x + 6*x + 7*x)*(-4 + 1 + 2))*(4*x - 2*x - x).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48809948 to the nearest integer?\nAnswer: 6986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -5. Let v be (l\/2)\/(610\/20). Let k be 6 + -4 - -5 - 6. Is v at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 303693.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4011116*c + 2680645.\nAnswer: -4011116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2763451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3811 + 3189. What is y rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -0*o. What is the second biggest value in -0.2, o, 1.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/1676 and 55\/165576.\nAnswer: 69376344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-56)\/21)\/((-16)\/35496). Calculate the greatest common factor of t and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 379 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 15 - 5 = 0. Let p = 5.3 - 5. Which is the second biggest value? (a) y (b) p (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/112 and -26\/511.\nAnswer: 8176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72078 and 292414?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -c - 156, j + 2*c = 4*j - 112. Suppose -3472 + 47317 = 185*z. Calculate the remainder when z is divided by j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-8))\/(-8 + 2). Let s = 0.045 + 0.055. Which is the closest to s? (a) 2\/9 (b) -0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.11 + 0.07. Let n = -0.11 + q. Let b = -5.07 + n. Sort b, 4, 0.3 in descending order.\nAnswer: 4, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 10376.97km?\nAnswer: 10376970000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 7. Solve 0 = 2*q + l - 3, q + d*l = -l - 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16543.2956 and 0.3?\nAnswer: -4962.98868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/3)\/3 - 2. Let b(k) = -7*k**2 - 2*k - 1. Determine b(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3410 is divided by 67.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.149 - 0.07. Let f = 0.0843 - u. What is f rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15070411315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2. Let w(z) = 111034547*z**2. What is u(w(d))?\nAnswer: -24657341254990418*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943731098?\nAnswer: 2, 17, 3319, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*p = 53*p + 6805485 - 30822758. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 23 + 107 = -2*u, -4*m = u - 260. What is the highest common factor of 845 and m?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.4 - -16. Suppose -25 = -5*v, -d = 4*d - 2*v - 10. Suppose -d*k + 10 = -2. Which is the second smallest value? (a) -4 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -121 - 90 - -96.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 678, 673, 664, 651, 634, 613, 588?\n\"Answer: -2*l**2 + l + 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 2\/117449?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-52)\/(-12))\/(2\/(-12)). Let x = -12 - o. Let m = 1 + x. Solve 0 = 5*g, -m = -2*u - u + g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*l - 4*l + 719, -3*b + 4*l + 751 = 0. Calculate the remainder when b is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1650853 by 97109.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -1037, -3?\nAnswer: -1037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from bzzucnbczbm?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22148974.\nAnswer: 2, 2719, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 12*o**2 + 9*o - 10. What is y(-11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19680, -38298, -56914, -75528, -94140, -112750, -131358?\nAnswer: -149964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.6, 3\/7, -4, -5 in decreasing order.\nAnswer: 3\/7, -4, -5, -6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**4\/12 + 5*l**3\/6 - 3*l**2 + l. Let t be p(4). Suppose 229*z - 266 + 4 = 654. Sort t, z, -1.\nAnswer: t, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86658.\nAnswer: 2, 3, 11, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, a: 1, b: 2, c: 3, n: 4, j: 2}. Give prob of picking 1 n and 1 b.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 218335, 436703, 655073, 873445?\n\"Answer: z**2 + 218365*z - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 1 = d, -4*d - 193 = -3*x. Suppose 0 = -3*k - 3*w - 2*w + 71, -3*k = -3*w - x. Let t = -14 + k. Solve 2*u - t = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7427589 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*t - 221 + 218 - 13*t)*(0*t + t - 4*t).\nAnswer: -270*t**2 + 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -175 + 0?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 25. Let v(q) = -q. Let j(n) = l(n) - 5*v(n). What are the prime factors of j(12)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 11:22 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.77149707 to one dp.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 18*g - 26. Let n be c(5). Let l = n - 67. Let v = l - -22. Calculate the remainder when 91 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7875*z + 834117 + 379631 = 3955*z - 1544*z for z.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/9, 2664, 7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 25*v**2 + 1692*v + 88. What are the prime factors of p(-75)?\nAnswer: 19, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = -142*c + 7063. What is the highest common factor of c and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 361*z**3 - 95*z**2 + 95*z - 95. Let a(n) = -15*n**3 + 4*n**2 - 4*n + 4. Suppose -4*j = -25 + 21, 4*p - 2*j = 378. What is p*a(s) + 4*o(s)?\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, m: 4, y: 2}. Give prob of picking 2 c, 1 y, and 1 m.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190140837 is divided by 215.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:56 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/7 - (-2)\/(-7). Let i = -10 - y. Let g be ((-1)\/i)\/((-2)\/(-16)). Calculate the highest common factor of 4 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 1 - 1)*(-2*p**2 + 0*p**2 + p**2)*(p - 3*p + p)*(-p + 4*p + 12*p).\nAnswer: 15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -4*t**2 + 51*t + 25. Does 33 divide w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551261 is divided by 551242?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 + 4*g - 4. Let b(n) = -9*n**2 - 7*n + 7. Let a be (-10)\/(-2) + (-6)\/(-3). Let k be (-4)\/((-12)\/9) - -1. Determine a*v(j) + k*b(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 85414254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.17. Let v = -0.07 - q. What is the third biggest value in -1, v, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0268 + -0.0268. Which is the biggest value? (a) -1\/2 (b) -1 (c) t (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13)*2*-2)**2 + sqrt(39)\/sqrt(3) + -3 + -5.\nAnswer: -1048 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58812110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 2*x**2 - 2*x + 2. Let q be w(2). Let z = 6 - 10. Let y be (-191)\/z - (-7)\/28. Calculate the greatest common divisor of q and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/(-9) + 2\/3. Suppose 11 = -3*j - 1. What are the prime factors of (w\/j)\/((-2)\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*c - 26*c + 497. Calculate the greatest common divisor of c and 497.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 0.5, -6, -1, 4\/209?\nAnswer: 4\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -477, -1947, -4435, -7971, -12585, -18307, -25167, -33195?\n\"Answer: -5*r**3 - 479*r**2 + 2*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -448 + 422. Let h = 17 + -44. Let m = h - r. Sort -0.2, m, -0.5 in decreasing order.\nAnswer: -0.2, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -56?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2174.\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 30 + 510*a - 84 + 4 - 72 - 183*a. Is 38 a factor of r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70839*n - 35428*n - 35419*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3066*t**5 - t**4 + 3785*t**2 + 64782738*t?\nAnswer: -61320*t**3 - 12*t**2 + 7570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 14 = -5*a - o, -a - 4*o = 12. Suppose 3*g - s - 23 = a, -41 = -5*g + 2*s - 3. What is the smallest common multiple of g and 466?\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 269231884*i\/9 - 9060725920273682\/9.\nAnswer: -2*(i - 67307971)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -16227 - 23295. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -31*f + 190. Calculate r(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**7\/35 + 7*r**5\/20 - 87*r**3 - 4*r**2 - 9*r. What is the derivative of b(l) wrt l?\nAnswer: -24*l**3 + 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m**4 + 0*m - m**3 - 8*m**2 + 9*m**2 + m**4 + 2*m in the form c*m**4 + z*m**2 + i*m + w + b*m**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 455.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (-57 - (-132 + 24)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - -1 - 45\/10. Which is the closest to -1\/6? (a) i (b) -0.04 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.48*3.\nAnswer: 79.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1544662 + -1544656.999973. Let b = 5 - d. What is b rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*b**4 + 234.\nAnswer: 152*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 2542785*c + 43228212.\nAnswer: -3*(c - 17)*(c + 847612)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/2))**(7\/6)\/(k*k\/(k\/(k\/(k*k\/((k*k*k**(-1\/4))\/k)*k*k)))*k)**(-12\/11))**(-32\/5) assuming k is positive.\nAnswer: k**(712\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499 - 498 = -u. Which is the nearest to u? (a) 1 (b) -0.15 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let h(m) = 5*m**2 - 310 + 308 + 6*m**2. What is h(y(p))?\nAnswer: 11*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + 89*o + 39. Determine u(-29).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 865938492 and 0.4.\nAnswer: 346375396.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2260 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 8:18 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*b**3 + b**2 - 14*b**3 - 10*b**3)*(0*b + 4*b - b) in the form q*b**2 + f + u*b + x*b**4 + p*b**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4223 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-322)*12\/27?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -30. Let w = s + -42. Let h = 9.999656 + w. What is h rounded to five decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = 0, -4 = 4*m - y - 13. Suppose 5*l = v + 19, -m - 4 = v - 2*l. Let h(d) = -10*d. Calculate h(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -41. Let p(v) = -14*v + 4. Let d be p(-3). Suppose -3*k = 3, 5*q + 3 = -2*k + d. Calculate the remainder when a is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m + 3*j = -9, -5*m + 42 = 4*j. Let k = 1 - 2. Let t = k + m. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + 3. Suppose -5 - 15 = -4*v. Solve v*u = -p - h, -u - 4*p = 3*u - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 80, 77, 64, 35, -16, -95, -208, -361?\n\"Answer: -b**3 + b**2 + b + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9460\/7095*(13\/(-10) - -1) + (-97)\/(-30)?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4016?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3110 by -4.\nAnswer: 1555\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 430 = 4*i. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 572680 divided by -206.\nAnswer: -2780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 2*f**2 + 2*f - 1. Let r be x(-2). Let s = -7 + r. Suppose 3*l + s*u - 240 = 0, 2*l - 4*u - 174 = -2*u. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -566.1 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 - -158. Suppose s*l + 7*l - 230 = 0. Solve l = -4*n + 5*v, 2*n + 0*v + 7 = v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z + 45. Let q be k(-7). Suppose q*f + 22 = -5. Let i be (-10)\/25*(-15)\/f. Which is the nearest to i? (a) 0.2 (b) -1 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 - 1. Let y(k) = -16*k**2 + 56*k - 7. Determine 5*u(n) - y(n).\nAnswer: n**2 - 56*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 223 + 45. Let o be (0 + (-8 - 0))\/((-87)\/(-696)). Let w = o + z. Solve 0*f = -3*f - w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -20. Let p be (-2)\/15 + ((-306592)\/(-165))\/16. Let c = -92 + p. What is the greatest common factor of c and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from {e: 1, r: 2, t: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**3 - 23*o**2 - 13*o - 87. What is the remainder when 1033 is divided by l(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -5, -14, -27, -44, -65?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/33? (a) -0.1 (b) -1\/5 (c) -2\/7 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, g: 1, n: 4}. What is prob of sequence rng?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66)\/(-14) + 2\/7. Let s(q) = q**3 + 6. Let v be s(0). Let f = v + -9. Sort f, -2, a.\nAnswer: f, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5261*y = -830*y - 4431 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52289 by 12089.\nAnswer: -52289\/12089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*d = -1, 4*z + 2*d = z + 48. What is the remainder when 67 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l - 112 = -4*t + 182, -5*t = -5*l + 2*l + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 130, 258, 388, 520, 654?\n\"Answer: l**2 + 125*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**6\/900 - d**5\/300 - 11*d**3\/3 + 8*d**2. Let j(t) be the first derivative of b(t). Determine w, given that j(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*p - 48*p = -320. What is the common denominator of (-295)\/300 + p\/(-40) and -74\/75?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999027?\nAnswer: 3, 163, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 390231.\nAnswer: -2\/43359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**1)**(-17)\/((i*i**3*i)\/i)**(2\/127) assuming i is positive.\nAnswer: i**(-4326\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1034 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5616 - -5621. What is the remainder when 627 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-641367)\/(-135) - -4*1\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(1 - 2) - 28\/(-7). Solve -u + 4*u - a = -11, b*a = -u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, o: 6, v: 3, n: 1, z: 3}. What is prob of sequence nxoz?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + -3. What is the least common multiple of ((-45)\/b)\/((-15)\/(-9)) and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 127*((-172)\/1462 + (-30)\/34). Sort 1, -3, j in decreasing order.\nAnswer: 1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 179*b - 12342. Determine n(68).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = 36. Find the common denominator of t and 31\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 331, 335, 341, 349, 359, 371, 385?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0842 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 86502 times -0.04\nAnswer: -3460.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -39*x**3 + 13*x**2 + 35*x - 63. What are the prime factors of b(-6)?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 q, and 1 h when four letters picked without replacement from lqzqhhh.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxi when three letters picked without replacement from {w: 1, g: 1, q: 1, x: 1, i: 1, h: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 - 10\/60. What is the nearest to y in 1, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from {z: 4, g: 1, b: 5, y: 2, h: 2}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + -7096. Let d = 10527 + q. Suppose 17*c + 544 = d. Calculate the greatest common divisor of c and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232.45259 rounded to the nearest integer?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19805 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 14 = -2. Let l = 12 - 7. Let q(x) = -x + 7. Let z be q(l). Sort z, d, -1.\nAnswer: -1, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 divided by 1.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s - 9. Let i be z(-3). Let j = 29.03 - 33.03. Put j, 0.2, -1, i in descending order.\nAnswer: i, 0.2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 20*a**2 + 8*a - 10. Calculate the smallest common multiple of 8 and o(9).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10520 and 493388?\nAnswer: 4933880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 45. Suppose 22*o - 1833 = 2039 - 814. What is the remainder when o is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*s - 20 + 27 = 0, 26 = -11*j + 5*s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215517?\nAnswer: 3, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 4041939?\nAnswer: 20209695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 279599992 = -5*t + 4*y, -5*y - 465999990 = 5*t. What is t rounded to the nearest one million?\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = 7529*y - 7523*y for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001561234 rounded to five decimal places?\nAnswer: 0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*-3*5131\/(-51310)?\nAnswer: 33\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254242 is divided by 126921.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let -54*o**2\/5 + 722*o\/5 - 888\/5 = 0. Calculate o.\nAnswer: 37\/27, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w + 5*w = 59378. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.68382*77.9.\nAnswer: 131.169578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1143 + -999. Calculate the remainder when g is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/443 + 459\/3544. Let z(v) be the third derivative of -f*v**4 + 0*v + 0 + 1\/2*v**3 - v**2. Differentiate z(h) wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 8053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. What is the second derivative of -2*h**3 + 5*h**r + 6*h - h wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1458 + 11b1?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/((-938)\/(-48))*(-2688)\/144?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 3. Let o = 11 + -5. Let c be x(o). What are the prime factors of 21*(2 + (-12)\/c)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -20. Calculate the lowest common multiple of 21 and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12725, 50889, 114487, 203513, 317961, 457825, 623099, 813777?\nAnswer: 1029853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3451717521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - -2 - (-16)\/4. List the prime factors of ((-27)\/(-2))\/(s\/(3 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 12590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3298, 0.435 in ascending order.\nAnswer: -1\/2, 0.435, 3298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/5 + 8322*v\/5 - 3297679\/5.\nAnswer: (v - 379)*(v + 8701)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -8*b - h + 3, b + 2*h = 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d + 3. Let z be b(6). Suppose 36 + z = 3*i. Let c(p) = -p**2 + 21*p - 16. Let q be c(20). Solve -q*m + i = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*l, 4*l + 7 = 3*y + 54. Put 2, y, 3 in decreasing order.\nAnswer: 3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 = -6. Let a(j) = -j**2 - 2 + 2 - i + 2. Suppose -39*t + 154*t - 460 = 0. Let p(n) = 5*n**2 + n + 5. Give t*a(z) + p(z).\nAnswer: z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -16. Suppose 0 = -b*j - 2*j + j. Solve j = 3*w - 2*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a3 - -30390?\nAnswer: 30463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1235*d**2 - 808*d**2 + 3763*d**2 - 65 - 1237*d**2.\nAnswer: 483*d**2 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -853*l + w + 54 = -857*l, -2*l + 3*w - 20 = 0 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**2 + 33*p = 0?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*z = -63*z + 5405*z + 68667 + 247429 for z.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/60 + i**4\/2 + i**3 - 53*i**2. Give f(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/9439509?\nAnswer: 1\/9439509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 311897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 13. Let k be s(0). Suppose -4*p - 9 = -k. Calculate the smallest common multiple of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -497334 (base 13) in base 7?\nAnswer: -20641542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11\/4*2*2 and 258\/26 - 39\/(-507)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 22204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 3}. Give prob of sequence zy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -192ae (base 15) to base 5\nAnswer: -10102424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6094251, 12188501, 18282751, 24377001, 30471251, 36565501?\n\"Answer: 6094250*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 1.1. Let w = -41\/147 - -605\/588. Sort u, 3, w.\nAnswer: u, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7263458 by -3.\nAnswer: -7263458\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 17.1. Suppose o = 9 + 6. Suppose f + 30 = 5*u, u = -2*f + 2*u - o. Which is the third biggest value? (a) f (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 38*d + 453. Calculate the smallest common multiple of 154 and f(-11).\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 4*p - 3. Determine j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 302715.9s?\nAnswer: 84.08775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 7*i**4\/24 + 2257*i**2. Let h(k) = 549*k**2. What is c(h(q))?\nAnswer: 3843*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n = -19. Let m = -72 + 88. What is the remainder when n is divided by m\/(-40) + 2\/10*27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d = 2996 + 598 - 855. What is the remainder when d is divided by 69?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 less than -0.5?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 18716.\nAnswer: 1\/9358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 22 = -14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2237*d - 2237*d + 241*d**2)*(-2*d**3 + 5*d**2 - 5*d**2).\nAnswer: -482*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132006 + -131991.6927. Let d = 14.3 - z. What is d rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10.9 and 143826 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-740)\/(-125))\/((-6)\/(-15))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/15)\/(4\/5). Let r = 3.2 - 3. Let j = -0.3 - r. What is the second smallest value in -3, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-2 + 2 - 2*l) - l + 2 - 2 + 11 + 2*l - 11 + (1 + 11 - 5)*(5*l - 4*l - 4*l).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71637884?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f**2 + 164*f - 105. What is q(-21)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -496 - 744. Let z be b*(1 - 3 - -1). Let x = -1739\/7 - z. What is the biggest value in -3, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3\/2 - 250755*g**2\/2 + 2612695500*g + 302120381250 = 0. What is g?\nAnswer: -115, 41850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6068312166.\nAnswer: 2, 3, 7, 144483623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/(-105))\/((-12)\/(-10)). Let i be ((9\/(-2))\/3)\/(-3). Which is the closest to -2? (a) i (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/304 and 111\/418?\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + g - g + (10*g + 192 - 192)*(-6 - 6 - 1)*(4 - 4 + g).\nAnswer: -127*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j = -2*l - 104, j = 5*l + 30. Suppose t + 4 = -2*z, 2*t - 2*z = j + 2. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a decade in months?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let n be -1 - (0 - 3\/(-3)). Let i(s) = -3*s + 7*s - 3*s**2 + 4*s**2. Let h(u) = n*i(u) + 11*y(u). Find the second derivative of h(v) wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220b630 (base 12) to base 11.\nAnswer: 3732762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.0629 (b) -4\/41 (c) -0.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 3883?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d + 9. Find the common denominator of (-2 + 1 + -36)\/d and (-3)\/66*-4 - (-348)\/(-220).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000083272 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.39 + 0.01. Let k(g) = g**3 - 4*g**2 - g - 22. Let f be k(5). Which is the nearest to -1? (a) 1 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 4*w = -7*z - 60, 18*z + w = 15*z - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*w + 30 = 0, 2*m + 2*w - 4*w = -2. Suppose 0 = 3*h - m*z - 71, -8*h - 41 = -11*h - 2*z. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**5\/30 + s**4\/24 - s**3\/2 + 8*s. Let d(u) be the second derivative of j(u). Differentiate d(k) with respect to k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**7\/840 + u**6\/180 - 19*u**3\/3 + 2. Let v(y) be the third derivative of g(y). Solve v(f) = 0 for f.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28.34 - 0.34. Let j = 28.4 - d. What is the closest to 0 in 1\/5, j, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6649071 - 6649071 + 104*a**2.\nAnswer: 104*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.6.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 641.3? (a) -9 (b) 12 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**(-4)*f))\/(f**(1\/3)*f))\/((f**(-1\/13)\/f)\/f**0) assuming f is positive.\nAnswer: f**(185\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, t: 2, a: 2}. Give prob of sequence aa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3702*h - 6328. Is 106 a factor of y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3889687 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -6*i + 3*i. Suppose -4*z + 12 = -z. Solve 7*k - z = i*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 40 - 119. Let o = u + -156. Let z(j) = -3. Let x(v) = v - 2. Determine o*x(b) - 2*z(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 421167373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5637 is divided by 115.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -7, 3, 17335, -2 in decreasing order.\nAnswer: 17335, 3, -2, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/12 - (-4)\/(-16). Suppose -z*a + 1 = -x + 3, -x + 2 = -3*a. Is a bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(-6) + -6925*(-16)\/3 + -6?\nAnswer: 2, 37, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1990 and -117\/10?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b7a + 7?\nAnswer: -1b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 7. Let r be m(-6). Let y be (-12)\/15 - -1*(-2)\/10. Sort y, -3, r in ascending order.\nAnswer: -3, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360818\/37326 + 4\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24781440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2553010 (base 7) to base 12\nAnswer: -14041a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsin. Give prob of picking 1 n and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 71005.389 to the nearest 100.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134575.4km to centimeters.\nAnswer: 13457540000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 0.5, 4, -412?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3*sqrt(675)*-4)\/((sqrt(1089) + sqrt(1089) + 2*sqrt(1089) + sqrt(1089))*-2) + -5)**2.\nAnswer: -120*sqrt(3)\/11 + 12208\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 + 0.6. Which is the smallest value? (a) o (b) -0.07 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -8124?\nAnswer: 8123.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffzffzfz. What is prob of picking 1 f and 3 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + k - 1. Suppose -p + 3 = 13. Let x = -9 - p. Let y(i) = 6*i**2 + 18*i + 2. Let a(j) = x*y(j) - 10*u(j). Factor a(s).\nAnswer: -4*(s - 3)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 516015200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -11*t**3 - 2*t**2 + 6*t + 2. What is the units digit of s(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -85, 1, -4, 3 in descending order.\nAnswer: 3, 1, -4, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - -1) + 550 - (9 + -16)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30, 17, 4, -9, -22?\n\"Answer: -13*t + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 - 10*n + 84 + (1 - 2*n - 1)*(-3 - 1 + 2))*(20 - 99*n - 11 - 8).\nAnswer: 594*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (0 + 0)\/(-1). Suppose 3*h + 1 = y. Solve h*c = 3*f - 9, 3*c - 6*c - 3*f + 9 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + f - 4. Let t(v) = 55*v - 1. Let r be t(f). Suppose 2*o + 0*o - r = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 4*q + 6 + 13)*(-1 + 1 + 2*q**4).\nAnswer: -8*q**5 + 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45520 rounded to the nearest one thousand?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -17.9 (b) -2 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 14*r**3 - r**2 - 2*r + 4. Let i be b(2). Let x = -30 + i. What is the highest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-546)\/(-17) + (-16)\/136. Let z be t\/(-20) + (-2)\/5. What is the least common multiple of 9 and 112\/70*(-5)\/z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-4)\/10)\/1)\/(5\/(-200)). What is the greatest common divisor of 144 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47090.3024 to the nearest 1000.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(8) + (4 + sqrt(2))*-1 + 1 + -5).\nAnswer: -2*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t - 2109 = -13617. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/(-18)*(-6)\/(-5). Suppose 4*u - 3*o = -o + 8378, z*u + 3*o - 8353 = 0. Suppose 5*w = -5, -4*w + 18149 + u = 5*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(187) + sqrt(187))*-3)\/(-2*sqrt(77)\/(sqrt(21)\/sqrt(3))).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(22)*-3)\/sqrt(11) + (sqrt(14)*1)\/sqrt(7).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2502757181 to the nearest integer?\nAnswer: 50028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1968*2.\nAnswer: -0.3936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(-87) + 2 + 51\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 z when four letters picked without replacement from {v: 1, z: 1, e: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = 189*v + 11855 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -140*z + 133*z + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:04 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 4. Let f be n(2). Sort 7, -3, -5, f in descending order.\nAnswer: 7, f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 5) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1527241 times 0.1?\nAnswer: -152724.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2988 + 3033. What is the remainder when 165 is divided by z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 - 81 = 3*n - 5*c, -7*n + 4*c - 768 = 0. Let x be 1 + -3 - (2 - n\/(-26)). Solve -2\/13*k**4 - x - 6\/13*k + 4\/13*k**2 + 12\/13*k**3 - 6\/13*k**5 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.1 - 23. Let p = 31.1 - z. Let s = -39.7 + p. What is the second biggest value in -3, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3564 = 169*r - 466*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.061 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)*k)**(-11\/3)\/(k**(1\/3)*(k\/(k**(-2\/3)\/k))\/k) assuming k is positive.\nAnswer: k**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, -32, 4, -1.\nAnswer: -32, -12, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*k - 3942, -o - 9134*k + 3942 = -9139*k. What are the prime factors of o?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 + b**2 + 5*b**2)*(-3*b + 3*b - 2*b)*(-4 - 2 + 4) - 3*b - b**3 + 3*b.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/5 - 52644*d**4 + 14218054*d**3\/5 - 218293512*d**2\/5 + 142196120*d - 131664000 = 0?\nAnswer: -131664, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*10\/(-100) + (-11)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 335*u**2 - 6355*u + 24025.\nAnswer: -5*(u - 31)**2*(u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (26\/(-6) - -5)*(-18)\/(-48). Let j = -147.5 - -147. Which is the nearest to s? (a) j (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110110111 (base 2) to base 12\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27359166, -54718326, -82077486, -109436646?\nAnswer: -136795806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 12.8. Let b = -231.1 - -232. Sort -3, d, b in decreasing order.\nAnswer: b, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - (sqrt(171) + -1) - sqrt(171))*-5 - sqrt(171))*-6)**2.\nAnswer: -4320*sqrt(19) + 99396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -916 + 879. Put 0, -3, q in ascending order.\nAnswer: q, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-29 - (-9)\/(-3))*-2. Suppose c = -3*h + 244. Suppose -3*l = a - 46, a + a = -4*l + h. Calculate the remainder when 47 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 90*t**2. Let a(b) = 154*b**2. Calculate i(a(p)).\nAnswer: 2134440*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*g - 1252 + 1392, -3*n = g - 480. Calculate the remainder when n is divided by 117.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7765*d - 15791. Give i(-2).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.1 + -4.2. Which is the third smallest value? (a) 3 (b) 1\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in 6, 6.5, 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 5*o = -183 + 181, 3*f - 4 = -4*o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4395.336 tonnes?\nAnswer: 4395336000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y - 3. Let d be c(-2). Suppose 8 = 3*a - d. Calculate the remainder when (-10)\/a*6\/(-4) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18130 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3512 + 156. What are the prime factors of w?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8300448*f**3 + 2*f**2 + 113107413*f wrt f.\nAnswer: 49802688*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwueeuwpueeuwu. Give prob of sequence pee.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2850 (base 12) to base 6.\nAnswer: -33340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*h**2*o**3*r**2 + 4*h**2*o - 3*h*o**3*r + 4*h*r - 79*o**3*r**2 + r wrt r?\nAnswer: 24*h**2*o**3 - 158*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8636 + 8639. Which is the closest to 2\/3? (a) -0.07 (b) -2 (c) -0.5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Suppose 39*v - 247 - 26 = 0. What is the greatest common factor of h and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from {b: 1, d: 5, l: 1, i: 4, c: 7, u: 1}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u = 492 + 276. Calculate the greatest common divisor of u and 1128.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139857\/77 - 72\/504 - (-4)\/(-22) is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = -5*o - 214, -5*o = 4*k + 194. What is the units digit of (-4)\/(-14) + (-534)\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 0.77, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 185 - 180. Let n = -32 - -17. Let j be 2\/(-9)*n + -3. Which is the closest to -1? (a) -4\/5 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 + 4*h**2 - 8*h - 2. Let v(l) = 8*l**3 + 13*l**2 - 25*l - 7. What is -2*v(r) + 7*z(r)?\nAnswer: 5*r**3 + 2*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2157*s**2 - 112*s - 7227*s**2 + 112*s to l + j*s**2 + n*s and give j.\nAnswer: -5070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/66)\/(13\/(-78)). What is the second smallest value in k, -0.2, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -4*d - 168. Suppose -u = -2*u + 10*u. Suppose -m + 152 + 142 = u. Calculate the greatest common factor of d and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3*123\/328. Which is the fourth biggest value? (a) z (b) 8 (c) -1 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 18*c + 9 = -3*h, -5*h + 13 = 2*c. Solve -j - 9 = -c*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgtggxgxgggggtg. Give prob of picking 1 x and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 33?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**5\/20 - x**4\/12 + x**3\/6 + 3*x**2\/2 - 3*x. Let u be t(0). Suppose -u*y = -2*y. Sort 4, y, 2 in decreasing order.\nAnswer: 4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3057 and 2929625?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2)*(-51)\/(-204)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87205 and 5885?\nAnswer: 959255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -35.96. Is -1 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 11:08 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -7*r. Suppose 5*k - 10 = r, -2426 = u + 5*k + 2864. What is u rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 54*b. Let d(l) = 54*l + 1. Give -4*d(x) + 5*q(x).\nAnswer: 54*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 2:53 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven thirds of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 26. What is the third derivative of -2*x**c - 519 + 519 - 12*x**2 - 4*x**6 wrt x?\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**3 - x**2 + 1. Let n(s) = 9*s**3 + 3*s**2 - 12. Calculate -n(o) - 2*w(o).\nAnswer: -o**3 - o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-21) - (-3940)\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17036461 (base 8) to base 12.\nAnswer: -13a4755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**0)**(-1\/6)*(s*s**(-3))\/(s\/((s*s**(2\/7)\/s)\/s)) assuming s is positive.\nAnswer: s**(-163\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 417.\nAnswer: 20850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3679547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 126\/13?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(208) + sqrt(13) + -2 + sqrt(13).\nAnswer: -6 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07473 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72\/154 + (-4)\/14. Let h = -0.3 - -0.4. What is the nearest to s in -2\/13, 1\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 33. Let k(z) = -6*z**2 + 4*z + 3. Let j(x) = -5*x**2 + 3*x + 2. Let a(m) = y*j(m) + 3*k(m). Calculate a(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2700) + 3*(sqrt(2700)*1 + sqrt(2700)) - sqrt(2700)) + sqrt(2700))\/(2*sqrt(108)\/(sqrt(24)\/sqrt(2)))*-1.\nAnswer: -35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19756107 or 19756109?\nAnswer: 19756107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w**4 - 5*w - 7859*w**3 + 2611*w**3 + w**2 + 2617*w**3 + 2 + 2620*w**3 to the form c*w + g + y*w**3 + k*w**4 + x*w**2 and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 + 133 = -2*l - 6*j + 732 - 140, -j = -4*l - 83 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164 and 32.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211347 = 4*r - 211351, 0 = 2*d - 4*r - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -1526b51?\nAnswer: -1526b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 26, -32.\nAnswer: -32, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4378, -8757, -13136?\n\"Answer: -4379*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 66, 166, 336, 594, 958, 1446?\n\"Answer: 3*v**3 + 8*v**2 + 3*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3080 or -15394\/5?\nAnswer: -15394\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 - 83. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 42*x**3 - 337*x**2 + 10*x - 9. Give v(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 960, 2348, 4170, 6426, 9116, 12240?\n\"Answer: 217*l**2 + 737*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyfjazrz. Give prob of picking 1 z, 1 r, and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14492, 16574, 18654, 20732, 22808?\nAnswer: 24882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2531 - -2?\nAnswer: -2529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/42)\/(1\/(96\/16))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 698260 = 3*q + 17*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -5*o**3 - 5. Let j(a) be the second derivative of -a**3\/6 - 4511*a. What is v(j(r))?\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -9\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 4. Let g be m(-7). Let j(a) = -5*a**g + 4*a**3 - a**2 + 2 - 3. Let c be j(-2). Solve -k + 5 = 5*i, 2*k + c*i = k + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*i, 36*a - 38*a + 2*i + 13962 = 0. What are the prime factors of a?\nAnswer: 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16665 and 3336030.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 6*r + 5. Let f be p(6). Let t(d) = 3*d - 5*d - 2 + f*d**2 + 0 - d**3. Calculate t(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/215, 3\/145, 0.3 in descending order.\nAnswer: 0.3, 3\/145, 3\/215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 7*v - 5. List the prime factors of s(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 60. Let g = -31 + w. Let n = 6 - 4. What is the closest to n in g, 0.4, -1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219151 (base 14) in base 3?\nAnswer: -2010212110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-4 - -3))*2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nntxtxnx. Give prob of picking 1 x and 2 t.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221, -456, -691?\nAnswer: -926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 434200 and 8975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/9))**(-1\/15)*b**8*b**1 assuming b is positive.\nAnswer: b**(1204\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -284*d**4 + 648 wrt d?\nAnswer: -1136*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 + -104.9999906. What is k rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + ea23af?\nAnswer: ea23b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -44982587 rounded to the nearest one million?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 6:59 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16900957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50866 + 50866.000059441. What is f rounded to six dps?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0143434126 to 5 decimal places.\nAnswer: 0.01434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -752 - -748. Let d(f) = 70*f**2 + 448*f + 69. Let n(y) = 35*y**2 + 223*y + 34. Let b(o) = u*d(o) + 9*n(o). Let b(l) = 0. Calculate l.\nAnswer: -6, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 489728582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 10 - z**2 + 0*z**3 + 0*z**2 - z**3 + 10*z**2. Let x be u(9). Sort x, -1, -2 in ascending order.\nAnswer: -2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 715?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 + -2.3. Let j = 3.1 + y. Let i(u) = -u**3 + 7*u**2 + 6*u - 42. Let p be i(7). Which is the second biggest value? (a) j (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 373 - 337. Which is the biggest value? (a) -1\/4 (b) s (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 5*v - 72. Let f be a(-14). Let i = -532 - f. Is i bigger than 38\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 714637075 by -8407495.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-64)\/12)\/(1\/3). Let t be 45\/(-9) - ((-240)\/(-8))\/2. Let j = p - t. Solve 3*v - 2*q - 3 = 0, j*q = 3*v - v - 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -6\/23, -28, -95, -0.3, 41?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 - -164. Calculate the highest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*z = 331*z + 90*z + 11280 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380120428?\nAnswer: 2, 2591, 36677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3204 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -923, 5 in increasing order.\nAnswer: -923, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9)\/6*(9 - 4204\/12) - 2 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -144290323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32269363, 64538724, 96808085, 129077446, 161346807, 193616168?\n\"Answer: 32269361*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -4971, 5 in ascending order.\nAnswer: -4971, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 0*y**2 + 2*y**2. Let v(b) be the second derivative of -1 + 34*b + 0*b**2 + 0*b**3 - 23\/6*b**4. Give v(t(z)).\nAnswer: -46*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*n**5 + 9*n**2 + 6*n**5 + 4*n**2 wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24552 and 683100?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 5*p, 2*n = 4*n - p + 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 72*s - 4107. What is u(57)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 110 = 14*j. Suppose -16*q + j*q = 30. Let p(o) = o**2 + 2*o - 2. Calculate p(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 16 + g**3 + 19 - 8*g. Let b = -3 - 0. Determine u(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 7*z - 17. Let t(k) = -k**2 - 7*k + 18. Let w(y) = 6*l(y) + 5*t(y). Let n be w(-9). Find the first derivative of n - 11 - 3 - 11*q wrt q.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q + q)*(-6 + 26 - 12)*(4 + 2 - 5)*(28710*q + 5 - 6 - 28756*q).\nAnswer: 736*q**2 + 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*t**2 + 151 - 9*t - 149 - 3*t.\nAnswer: 45*t**2 - 12*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2020 + 7613. List the prime factors of r.\nAnswer: 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/7 = -23136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - 54*m + 22*m + 10 = 3*v - 13*m, -6*v - 4*m = -8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20)\/sqrt(2)*3*4)\/((-4*sqrt(72)*1 - sqrt(72)) + sqrt(72) - sqrt(72) - sqrt(72)) + 0.\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 10*u + 28. Let j be x(16). Let q = j + -2446\/13. Which is the second smallest value? (a) q (b) -4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 2*i**2 - 8*i - 10. Let o be m(5). Let s = -159 - o. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = -u, 0 = 2*u - 3*k - 11 - 2. Are u and 1\/63 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000148281826 to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -36\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*d + 30 + 6, -2*n = 5*d + 47. Let v(p) = 4*p + 50. Let k be v(n). Solve r + 0*r - 2*z + 4 = 0, -5*r - 3*z = -k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 949, 951, 953, 955?\n\"Answer: 2*b + 947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 34\/4)*(-3)\/(105\/4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2aa17 (base 13) to base 8\nAnswer: -235642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.095, 2, 0.3 in increasing order.\nAnswer: -0.1, 0.095, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2. Let l = 1 + 5. Let j(v) = -l*v**2 + 2*v**2 + 6*v**2 + 0*v**2. Determine o(j(b)).\nAnswer: 20*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 4*l**2 - l + 4. Suppose -c + 4 = -1. Suppose -3*d + 5*g + 42 = 0, -4*g = -6*d + d + 57. Let z = c - d. Give q(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -151*a + 149*a + 22. What is the lowest common multiple of 12 and a?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 56*y**2 - 87*y - 1052. What is a(54)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -1740.\nAnswer: -52.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(-2\/25)))\/(x**(1\/4)\/x*x))\/(x\/x**(-1\/4))**(-1\/5))\/(((x**(-1\/3)\/x)\/x*x)**(10\/13)\/(x*x**(-2\/7)*x*x**(-5\/2))) assuming x is positive.\nAnswer: x**(4367\/13650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*w - 49*w - 15 = -z, 3*w - 2 = -2*z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4043839 nanograms in micrograms?\nAnswer: 0.0004043839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -864 divided by 9.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*f - 14 = 0, 6*n = 8*n - 2*f + 16. Let x = -4 + 9. Sort 0, x, n in increasing order.\nAnswer: n, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 480, -20?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u + 28. Let z be o(5). Suppose -4*w + 97 = 21. What is the first derivative of -22*x**2 + w*x**2 - 1 + z wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 4 (b) -473 (c) 1.73 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + 0)\/(0 - 1). Let u(b) = b**3 + 6*b**2 + 5*b. Let r be u(p). Solve 0 = -3*m - r - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/(-715))\/(39\/(-65)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.95 - -1. Let b(o) = -o**2 + 7*o + 6. Let y(v) = v**2 - 7*v - 7. Let m(h) = 4*b(h) + 3*y(h). Let a be m(8). Sort 1, a, d in ascending order.\nAnswer: a, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158 - -62. Which is the second smallest value? (a) 1 (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 51\/18) + (-2482)\/(-12). Suppose x*g + 32495 = 212*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, v: 1, w: 1, b: 10}. What is prob of sequence bvw?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -635*w + 4247*w + 14343*w**2 - 14342*w**2 to p*w**2 + c + b*w and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -8\/3 (c) 0.02 (d) 0.09 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*s + 5*s - 3936, -5*s = -3*d - 3938. Suppose 10*x - 30 = 4*x. Suppose 148 = x*c - s. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -38, -57, -76?\n\"Answer: -19*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4.9, 1\/2, -336?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 10, -1, -2, -70, 19.\nAnswer: -70, -5, -4, -2, -1, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 13) to base 16\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.27 and 0.082610123.\nAnswer: -0.187389877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14892)\/272*(-32)\/(-6). Let u = 386 + i. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -310 + 313. Suppose 3*l = -v*l - 12*l. Solve l = 2*w + 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.45 - -0.2. Let t = 0.85 + o. Sort -3, -1, t in decreasing order.\nAnswer: t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + 0*o**4 - 3*o**4 + (-2 - 1 + 6 + 2 - 8 - 1 + (0 + 1 - 2)*(-4 + 3 + 3))*(-o**4 + 3*o**4 + 2*o**4).\nAnswer: -25*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 15*x - 15. Let z(d) = -7*d + 7. Let l(p) = p**2 + 10*p + 9. Let t be l(-8). Let r(s) = t*z(s) - 3*m(s). Give r(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unfffddduuddd. Give prob of picking 1 d, 2 f, and 1 u.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 12) in base 4?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 230?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 8*c + 1. Let l be j(-7). Let i be (-51)\/12 + 2\/l. Let n = i + 29. Solve 2*d - n = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -365596 or -365594?\nAnswer: -365594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 40 = 7*b - 10*b, 0 = -2*b - 8 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10734 or 11144?\nAnswer: 11144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*c + 748 = 0, 2*i - 5*c + 230 = -504. Let v(f) = 42*f - 6. Let w be v(13). Let y = w + i. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 4) to base 15\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14163 divided by -4721\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 231b69 + 3a3?\nAnswer: 232350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 4*k - 4*k)*(k + k - 3*k) - 6*k**2 + 15*k**2 - 8*k**2 + 1 - 11*k**2 - 1.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -1.741?\nAnswer: 2.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4, -2*b - 7*l + 172 = -11*l. What is the remainder when b is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*b**4 + 6*b**2 - b**2 - 36*b**4 + b**2 wrt b?\nAnswer: -600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*q - 311\/3*q**2 + 1\/3*q**3 = 0. Calculate q.\nAnswer: 0, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684 divided by 18.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2033*k**2 + 1736*k**5 - 1590*k**5 + 2*k**6 - k**6 wrt k?\nAnswer: 120*k**3 + 8760*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:32 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*((m*m\/m**(-6))\/m)\/m)\/m**(-6)*(m**(1\/8)*m)\/((((m*m*m**(-1\/6)*m)\/m*m*m)\/m)\/m))\/((m\/m**0)**(-35))**(-7\/10) assuming m is positive.\nAnswer: m**(-269\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/(-6))\/(1\/(-8)). Suppose -2*z - 5*y + 64 = -191, 585 = 4*z - 5*y. What is the greatest common factor of f and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.5024 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.5, -5, -15428, 98 in descending order.\nAnswer: 98, 0.5, -5, -6, -15428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 - 10 - 7*l + 10 as r*l**2 + v + s*l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 1348*d**3 - 2243*d**3 - 261*d**3.\nAnswer: -1156*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*l**3 + 35*l**3 + 268*l**2 - 184*l**2 wrt l?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 - 650.68.\nAnswer: -650.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 825\/175 + 4\/14. Suppose 0 = 3*m - r*g - 39, -3*m = -m - 4*g - 24. What is the remainder when 136 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, i: 2, d: 2}. Give prob of sequence idi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 642 = -3*r, 4*r + 264 = 2*k - 4. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2 - 5*q + 3. Let z(g) = 7*g**2 + 11*g - 5. Let w(b) = 5*v(b) + 2*z(b). Let o = -12 + 8. What is the units digit of w(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2490 and 90636?\nAnswer: 453180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzlzdbzdczlbclll. Give prob of sequence lz.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (16 - (22 + 10) - (-3 + -4))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.046 + -0.954. Which is the nearest to t? (a) -0.07 (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (243\/(-810))\/((-2)\/(-10)*-4). Sort 18, v, 1.\nAnswer: v, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24*(297\/88)\/(3\/2). Suppose 0 = s - 54 - p. What is the remainder when s is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 1. Let n be q(2). Suppose 5*m = 10, c - m = -2*c - 17. Let k = n + c. What is the second biggest value in -4, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 - -24. Let r = 120.999642 - y. What is r rounded to 5 dps?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116859 - 116859 + 407*g)*(g**4 + 0 + 0).\nAnswer: 407*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30499543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**0*r))**(-24)*((r*r\/r**(2\/9))\/r)\/((r*r**(-2\/9))\/r*r)*((r**(-1))**20)**(20\/11) assuming r is positive.\nAnswer: r**(-136\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4646328, -9292680, -13939034, -18585390, -23231748, -27878108?\nAnswer: -32524470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014429 rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1636*d**2 + 1150*d**2 + 517*d**2 + d**3.\nAnswer: d**3 + 31*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 24 - 3*d - 5*d**2 - 15 - 4*d**2 + d**3. Let i be q(9). Is 3\/(27\/10203) + 12\/i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 9. Let j(c) = -2*c - 19. Calculate -4*j(f) - 10*y(f).\nAnswer: -2*f - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 63.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from {m: 2, n: 2, v: 3, r: 4, b: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3144 divided by 262\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20806.83 (b) -1\/3 (c) -1\/4 (d) 4 (e) 0 (f) 0.5 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-181 - (-279 - -102)) + (-7 + 1 + 1 - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from aeceeeeceeeeeecee?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -495.2 and 0.0695?\nAnswer: 495.2695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 4379*t**3\/6 + 5437*t**2\/2 + 7453*t. Find the first derivative of m(y) wrt y.\nAnswer: 4379","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9116*y = -4*v - 9117*y + 5, y = -5*v + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24313754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02666705057 rounded to 5 dps?\nAnswer: -0.02667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4443569999 + 64.\nAnswer: -4443569935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28934 or 28935?\nAnswer: 28934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -303 + 300. Let k(v) = 3434*v**2 + 7*v + 8. Is k(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60781.2 days to seconds.\nAnswer: 5251495680","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - 3*k**3 + 2 - 2 + k**3 to j*k**2 + s + w*k + c*k**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 15*x - 17. Let s(c) be the first derivative of -4 + 8*c - 7\/2*c**2. Let b(d) = d**2 + 6*d - 5. Let v be b(-4). What is v*s(r) - 6*j(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57564 and 4674?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176800 and 136.\nAnswer: 176800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3776.8 rounded to the nearest 10?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/5)\/y)\/(y*y**(2\/101)*y)*(y\/(y**(-28)*y))\/(y*y*y**(-27\/7)))**14 assuming y is positive.\nAnswer: y**(185498\/505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -529953.326 to the nearest 100.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, c: 1, i: 2, w: 3}. Give prob of picking 2 w and 2 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3017632 or 3017630?\nAnswer: 3017630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2 = 2*h, -2*d + 16 = -4*h - 4. Suppose -5 = 3*j + 7. Which is smaller: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -13. Suppose 0 = l*k - 10, -5*k - 80 = 5*i - 540. Calculate the highest common factor of i and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 4*h = 11 + 7, 4*h = -12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 0. Let g be m*3\/6*16. Which is greater: -9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((50\/5)\/50)\/((-12)\/15)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-2 - (-2 + 1)). Put -3, p, 5 in descending order.\nAnswer: 5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223.3 + -194. Let a = 38.8 - c. Round a to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-4)\/(3 + -15). Let t be (-4)\/(-8)*(1 - f). Suppose t = -4*j + 2*p - 3*p + 54, 3*j + 5*p = 32. Calculate the lowest common multiple of 8 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12135 - 242753\/20. Find the common denominator of -97\/6 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**(3\/2)\/i*i)\/i))\/((i*i**7*i)\/i))**(-49)\/((i*i**(-3)*i*i**(-3))\/(i*i\/(i*(i**(-1)\/i)\/i*i*i*i)*i)**(5\/3)) assuming i is positive.\nAnswer: i**(2249\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**4\/4 - 5*x**3\/3 + 2*x**2 - 8*x - 1. Let v be r(-6). Solve v*w + w + 25 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 104319, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -185*(2\/(-3))\/((-6)\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 716 = 5*k, -2*k = -2*x - x + 537. Let z be ((-6774)\/(-160))\/(x\/52). Let p = z - -3\/3580. Calculate the common denominator of -31 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 12 = -0*f. Let n = 6 - f. Let x(d) = d + d**n - d + 2 - d**2 - d. Give x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3044 = -28*l + 27*l. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10192 + -668.525.\nAnswer: 9523.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n**(-2\/11)\/n)\/n*n*n)*n*n\/(n*n**(-7)*n*n))**(-31) assuming n is positive.\nAnswer: n**(-2449\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 12) to base 3\nAnswer: 12221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 148216 a multiple of 382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*r**3 + r**3 - 2*r**3)*(14*r - 16*r - 22*r).\nAnswer: 24*r**4 + 48*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3765938987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 10*x + 25*x + 4*s - 230 = 0, 4*x - 29 = 13*s - 8*s for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + m - 8. Let g(i) = 14*i**2 + 132*i + 32. Determine -g(j) - 4*p(j).\nAnswer: -10*j**2 - 136*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**3 - 2485*z**2 - 35770*z + 183160 = 0.\nAnswer: -482, -19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 + 2*g**2 + 2*g + 1. Let a be t(-1). Let v = 30 + -20. Suppose -2*h = -v, 0*o + 2*o = -h + 9. Solve o*j = 3*z + 7, -7*j - 4 = -a*j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 6) + 3 - (-4 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 272*r - 27. Let i(j) = 3*j + 3. Let x be i(2). Suppose 0*t - 45 = -x*t. Is y(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 10*n**2 - 8*n - 3. Suppose -5*y + 7 = 3*w - 31, 5*y - 54 = w. Let r(g) = -4*g**2 + 42*g - 11. Let t be r(y). What is z(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*w - 4, 0 = -4*l - 3*w + 154 - 151. Solve l = -7*m + 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*h, -2*y + 18*h + 32546 = 23*h. Calculate the remainder when y is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*i + 43*i - 43*i + 1 - 39*i.\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 521)*12\/(-9). Let d = o + 1011. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3031153 + -413?\nAnswer: -3032010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 3*p**2 + 6*p - 5. Let h be a(4). Suppose 5*u - 17 = 3. Suppose 3*m - 2 - u = 0. Which is greater: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(4\/4) + -4. Let o be 4*((-2)\/s + (-85)\/(-100)). Is 61\/11 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6455, -10990, 1, 4 in descending order.\nAnswer: 4, 1, -6455, -10990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**2 - 159492*n + 478440 = 0.\nAnswer: 3, 39870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12872 + 25937. What is the greatest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -208*y + 25. What is h(2)?\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11777573 to the nearest integer?\nAnswer: 3432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 4*s**2 + 3*s + 3. Let q be z(3). Suppose q*i - 9 = -0. Let y be i*2\/(-3)*3. Let h(g) = 6*g**3. Let b(c) = 7*c**3. Give y*h(n) + 5*b(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-636)\/123 - -5) - (30 + (-828)\/28).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**3 + 10*j**3 + j**3)*(0*j + 3*j + j) + 2*j**4 - 6*j**4 + 2*j**4 + (j - 2*j - 3*j)*(-4*j**3 + j**3 + 2*j**3).\nAnswer: 30*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2 = -2*r, 11 = 5*p - 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2100060 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1504063836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -1 - 3. Let t be (-14)\/k*(-24)\/(-14). Is (3\/t)\/(1\/28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b. Let r(q) = -2916*q**2. Determine k(r(a)).\nAnswer: -5832*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 7:24 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/4 and -41\/261.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2434 (base 7) in base 16?\nAnswer: -38b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 16 = 3*b + 3*t, -b = t - 5. Suppose -b*c + 10 = w, -w + c = 12 - 32. What is the least common multiple of 15 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m. Let i(h) = 2*h. Let d be (-9)\/(-3) + -4 + -1 + 3. Let n(q) = -15*q. Let c(u) = d*n(u) + 6*i(u). Determine z(c(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42079\/20 - -2103. Let s be ((-18)\/38)\/(3\/(-34)). Let d = 801\/266 - s. Find the common denominator of d and w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -2310?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1601011 in decreasing order.\nAnswer: 1601011, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1437300 + -1?\nAnswer: 1437288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2258, -4687, -7272, -10007, -12886, -15903, -19052?\n\"Answer: h**3 - 84*h**2 - 2184*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 12*c + 5. Let t(i) = 2*i**2 - 13*i - 6. What is -6*p(v) - 5*t(v)?\nAnswer: 2*v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 6939051.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/293296 and 25\/828.\nAnswer: 2639664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 69?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*s**2 + 5*s + 50.\nAnswer: -20*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 78020.62 minutes in microseconds?\nAnswer: 4681237200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + sqrt(847))*-2 - ((sqrt(847) - (sqrt(847) + 1 + 2)) + sqrt(847) - (-1*(sqrt(847) + sqrt(847) + 2*sqrt(847) - sqrt(847)) - sqrt(847))))**2*-4.\nAnswer: -166048 + 1848*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l = 0. Let c(h) = -h - 4. Let i = -11 + 8. Let n be c(i). Which is smaller: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4432 - -4437. Solve -k*s + 5*c = 25, -4*s + 5*c = 8*c - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, w: 5, m: 7}. What is prob of sequence kww?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2. Let r(z) = 4*z**2 + 54. Determine r(u(g)).\nAnswer: 36*g**4 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(176)*-2 + 1 - -4*(sqrt(176) - (1 + sqrt(176))) - 4*(sqrt(176) + sqrt(176)*4)*-6)**2*6.\nAnswer: -16992*sqrt(11) + 14703796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-27) - 10\/(-36). Let p = r - -4\/9. Suppose -16*j + 41*j + 25 = 0. Which is the third biggest value? (a) j (b) p (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-1 + (-8 - -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 - (-27)\/6. Let y be 2 + -8 + -2 + d. Let n(a) = 7*a + 2*a**2 + 5 - 11*a - 3*a**2 + 0. What is n(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4417 and 6503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**8\/84 + 2*s**7\/35 - s**6\/10 + s**5\/15 - 3*s**2. Factor w(q).\nAnswer: -4*q**2*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(24\/(-15)) + 26192\/4?\nAnswer: 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 + 7)*((-2)\/15 + 3\/(-15)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*n + 15284349 + 51*n - 15284349.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 103*w + 3502. Determine o(-34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 173, 692, 1557, 2768, 4325, 6228?\n\"Answer: 173*f**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 0.05 (c) 4\/11 (d) -0.3 (e) -4\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = f - 4*f. Is (26\/2)\/(f\/20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123 + (19 + -6181)\/78?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1501 is divided by 301.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1503, 1628, 1753?\n\"Answer: 125*n + 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*p + 8. Suppose -n - 17 = r + p*r, 5*r = -2*n - 19. What is the remainder when (-203)\/r + (-6)\/(-15) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3762.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 16. Let j be x(0). Let z = -6 + j. Suppose 0 = 2*w - 6 - z. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 - 1)*(-x + 0*x + 0*x) as n*x + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 76\/(-24)) + 1\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3072 by 116.\nAnswer: 768\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 461233 times -0.01\nAnswer: -4612.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 535132*i**2 + 1605380*i - 48.\nAnswer: 4*(i + 3)*(133783*i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*l**4 - 210*l**3 + 63*l**2 + 138*l.\nAnswer: 3*l*(l - 23)*(l - 1)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 32.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljljjljslljumjuslj. Give prob of picking 1 l and 1 m.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1712 = 6*l - 3*l, -5*l - 2*d = -2853. Let q = -183 + 205. What is the remainder when l is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*b + 37. Let o be 3\/(1 - b\/12). Let c be 1\/4 + 5\/o. Which is smaller: c or -12\/7?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 668*v**3*y**3 - 4*v**3 + 10*y**4 - 160 wrt y.\nAnswer: 2004*v**3*y**2 + 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 24) + (-1 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1012*t - 18325 - 17095 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4105, -8442, -12779, -17116?\n\"Answer: -4337*k + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 17479*l**2 - 17479*l**2 - 41*l.\nAnswer: -l**3 - 41*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3 - 12. Suppose -3*r = -3 - n. Are r and -0.01 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/342 and -31\/33402?\nAnswer: 100206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -22\/73?\nAnswer: -22\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/24 (b) -2 (c) 3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 418075561 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3\/3 - 80939*b**2\/3 + 4415700*b = 0?\nAnswer: 0, 164, 80775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*x - 2 + 1 - 91*x + 68*x.\nAnswer: -111*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Suppose 0 = 2*k + 8, -m + 2*k = -0*k - 8. Give j(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qha when three letters picked without replacement from {h: 2, q: 1, e: 8, a: 6, d: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by ((-7384)\/426)\/((-2)\/6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (0 - 4) + -2. Let t be (-14)\/q*(-27)\/(-18). Suppose 3*a + 60 = 4*j - t, j + 2*a = 14. Calculate the highest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*h - 804*h**2 - 815*h**2 - 95*h + 1613*h**2.\nAnswer: -6*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70849 + 145059. What is v rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18\/5*z**2 - 24\/5*z**3 + 3\/5 - 9\/5*z**4 + 0*z = 0. Calculate z.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 20*o**2 + 2*o + 6. Let y(n) = -17*n**2 - n - 5. Let w(s) = 5*q(s) + 6*y(s). Let h = 9 + -6. Suppose 0 = 4*i - 5*i + h. Determine w(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*g + 189*g + 475*g + 1090 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c - 7162 = -25*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -425*o**8\/336 - o**7\/105 - 737*o**4\/24 - 927*o**2. What is the second derivative of j(l) wrt l?\nAnswer: -8500*l**3 - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.46 + -0.24. What is the closest to 0.1 in y, 1, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) -1\/9 (c) 15 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 3*l**2 + 6*l - 17. Let n = -5 - -7. Suppose -5*z + 14 = 5*j + 54, n*j + 4*z + 18 = 0. Is c(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14710 - 14712. Let j(z) = z + 1. Let d(y) = -3*y - 2. Determine q*d(n) - 7*j(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 521171069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -9*o**3 - 5*o**2 + 7*o + 2. Let j(u) = -5*u**3 - 2*u**2 + 3*u + 1. Calculate 7*j(x) - 3*w(x).\nAnswer: -8*x**3 + x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 47 = 3*g - 16, -3*z = g + 13. Let h be 3\/8*28\/g. What is the third biggest value in -11, -5, h?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 6:27 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0805148 years to millennia.\nAnswer: 0.0000805148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/35)\/((-222)\/(-2331))*(-20)\/((-16)\/(-4))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1686, -1669, -1652, -1635?\n\"Answer: 17*n - 1703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 1, v: 1, h: 1, t: 1}. What is prob of sequence hqc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 4*i - 148. Let o = i + 221\/6. Let g = 0.201 + 0.299. Which is the biggest value? (a) g (b) -1\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(363)*2 + 1)**2 + 4 + (5 + sqrt(3) + (sqrt(3) - ((sqrt(3)*1 + sqrt(3))**2 - sqrt(3))) - sqrt(3) - -3*(sqrt(3) - (sqrt(6)\/sqrt(2))**2)).\nAnswer: 49*sqrt(3) + 1445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 + 3*n**3 - 8*n**3 - n**3 - 10*n**2 in the form x*n**3 + h*n + m*n**2 + a and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259, 1051, 2355, 4159, 6451?\nAnswer: 9219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 580797?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 5*n**2 - 2*n + 7. Let g be h(5). Let p be 1 + -8*g\/6. Suppose -p*t - i + 36 = -2*i, -8 = -2*i. 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: Let l(v) = -18*v - 93. Give l(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 543, 2274, 5167, 9216, 14415?\nAnswer: 20758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 13 + 67 = 0. Suppose 13*f = s*f. Let i(n) be the first derivative of -n**4\/4 + n**3\/3 + n**2\/2 + 17*n + 4. Calculate i(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45961*p**3 + 97*p**2 + 22*p + 3?\nAnswer: 275766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -8*g**3 - 11*g**2 - 17*g + 11. Let f(m) = 3*m**3 + 4*m**2 + 6*m - 4. Determine -17*f(j) - 6*n(j).\nAnswer: -3*j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 68 = -4*y - 5*b, 0 = 5*b - 20. What is the smallest common multiple of y and 3 - 22\/6 - (-32)\/12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 6*u - 4. Let g be h(4). Suppose -3*w - 10 = -r - 5*w, -r + 16 = g*w. Solve 0 = -r*f + 3*f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/10073?\nAnswer: 2\/10073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*4*4\/48.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 2*d - 2339 + 2333, 0 = -4*y + 2*d + 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 45 + 4*j + 46)*(359*j**4 - 33*j**4 + 414*j**4).\nAnswer: 2220*j**5 + 740*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1576.3790167 to the nearest integer.\nAnswer: -1576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 14586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b - 123*b + 150*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/(-126) - 1\/(21\/(-1061901)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 = 3*w - 3*d, 6 = 4*w + 2*d. Suppose -w*f = -5*i + 12, -5*f + 3 = 4*i - 0*f. Solve -r = -i*r - 3, -3*r - 12 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -13.999945. What is p rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -14\/361?\nAnswer: -14\/361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*b**2 + 0*b**3 + 6*b + 4*b + b**4 + 0*b**3 - b**3 + 3*b**3.\nAnswer: b*(b - 2)*(b - 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3265525 take away -3.46?\nAnswer: -3265521.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*n + f, 4*n - 8 = 2*n - 2*f. Solve -n = 3*s - 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4298 to 2 decimal places.\nAnswer: -1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kod when three letters picked without replacement from poppdpddkddddkddkkd.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*s = -4, -14 = -2*o + 15*s - 17*s for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**4\/24 + 5*w**2. Let p(n) = -n**2. What is p(z(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2160, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2474, -5076, -7682, -10292, -12906, -15524, -18146?\n\"Answer: -2*v**2 - 2596*v + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 - 1382*z - 12440\/9.\nAnswer: 2*(z - 6220)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 12*h + 4. Suppose 2 = 2*m - 22. Let j be o(m). Solve 0 = -5*x + j*g - 20, 0*g + 10 = -4*x + 2*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 12*q**3 - 2*q**3 - 136*q**2 + 43*q**2 + 48*q**2 + 40*q**2 - 65*q - 30 = 0.\nAnswer: -2, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118502.\nAnswer: 2, 193, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/10)\/(((-7)\/2)\/(-7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 12}. What is prob of sequence so?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94644 - 28*b - 49241 + 29*b)*(-5 + 1 + 5).\nAnswer: b + 45403","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -31. Calculate the remainder when 2 - -1 - (d - 2) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 12*l**4 - 7*l**3 - 17*l + 10. Let d(f) = 6*f**4 - 3*f**3 - 9*f + 5. Let p(k) = -7*d(k) + 3*v(k). Find the second derivative of p(j) wrt j.\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 5, w: 7}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8.000287. Round l to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1221625 and 39429?\nAnswer: 142930125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 35*h**3 + 2*h**2 + 4*h + 2. Let v be n(-1). Let z = -197 - v. Which is smaller: z or -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-3 - 40) - -46\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -5877.\nAnswer: -1\/1959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**3\/7 + 1809888*g**2\/7 - 7239578*g\/7 + 5429688\/7 = 0.\nAnswer: -904948, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.518 and 297?\nAnswer: 1638.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0239 less than -7182?\nAnswer: -7181.9761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 8:18 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222122000220102 + -10?\nAnswer: 222122000220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 553 - 377. What is the highest common divisor of 242 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 + 0*t**2 - 3*t**2 + (t + 0*t + 0*t + (-2*t + t + 3*t)*(6 - 2 - 3) - 4 + 2*t + 4 + 0 + 0 + 2*t)*(10*t - 29*t + 7*t).\nAnswer: -87*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1640.26 - 1383. Let u = 254 - m. What is u rounded to one dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10c1741 (base 13) to base 16\nAnswer: -4eeeee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(4 - 1 - 2)*(0*a + 0*a - 2*a)*(-4 - 2 + 2).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 94442460 rounded to the nearest 1000000?\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.215.\nAnswer: -1.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -990.2 = -431\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/162528 and 65\/416478.\nAnswer: 6663648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 95*b + 582. Let w be f(-4). Calculate the highest common divisor of 7575 and w.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 42\/12)\/(2\/4). Let l(b) = 10*b + 1. Give l(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/12192 + 573277\/3084576. Let n = d + -1\/253. Which is bigger: n or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 11:46 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*(9\/(-10))\/(-9)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 490 + 1?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8820520, 17641042, 26461564, 35282086?\n\"Answer: 8820522*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 94 = -3*o + 319, 5*o + 2*c = 391. Suppose -35 - o = -4*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5959.8 - 506318?\nAnswer: -512277.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 100100?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*q + 11*q + 108. Let m be (-10)\/q - (24\/4 - 7). Factor -m*d**2 + 1\/6*d**4 - 1\/6*d + 0 + 1\/6*d**3.\nAnswer: d*(d - 1)*(d + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezex when four letters picked without replacement from zzexxezzexz?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 2)*(122 + 24*v - 122 + (2*v + 0*v - v)*(-1 + 2 + 1) - 5*v + 3*v + 4*v + v + v - 3*v)*(-121 - 40 + 49) to i + u*v and give u.\nAnswer: -9072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-700)\/(-560))\/(20\/96)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 322024, 1287987, 2897886, 5151721, 8049492, 11591199, 15776842?\n\"Answer: 321968*g**2 + 59*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - j = -30, 3*k = 2*j + 9040 - 9100 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2. Let p = j + 4. Solve -p*y - 10 = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 2. Suppose 3*t = 4*t. Let q be m(t). Let s = 2 + q. What is the remainder when s is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 + 2. Suppose 3*k - 7 = -1. What is g(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssjsjsjajjjsojjj. What is prob of picking 1 s and 1 o?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2822, -4164, -5506, -6848, -8190?\nAnswer: -9532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmmdm. Give prob of sequence mmm.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255 by -51.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1211 - 17a01?\nAnswer: -19012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*z - 5*j, 5 = z + 4*j - 4. What is the closest to -2\/5 in -0.1, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3)*0)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*t**5 - 24*t**4 - t**3 + 10295*t**2 wrt t.\nAnswer: 6300*t**2 - 576*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 20. Suppose 2*p - 2*z = 0, 3*z - 2 = k. Suppose -6*f + p*f = 1280. What is f rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4*m + 6 = 0, m - 1332 = -3*u. Let i be (1 + 1 - 0) + 443. Find the third derivative of -2*t**6 + i*t**3 + 42*t**6 - 47*t**2 - u*t**3 wrt t.\nAnswer: 4800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*4\/4)\/(-5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -33, 87, -5 in increasing order.\nAnswer: -33, -6, -5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 919952123 to the power of 1\/3, to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 729*a**4\/5 - 369711*a**3\/5 - 315572*a**2\/5 + 52836*a\/5 - 2032\/5 = 0.\nAnswer: -1, 2\/27, 508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25f24 - -10dc?\nAnswer: 27000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36372 and 11935212?\nAnswer: 5196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155151342 and 31604903?\nAnswer: 1706664762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 8. Suppose -5*j + c = -6. Solve -j*i + 5 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 9*n**2 - 4*n. Let f = 11 - 18. Let x be r(f). Calculate the greatest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i + 21*i + 23*i + 4 - i - 50*i + 2*i.\nAnswer: 9*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (320\/(-3600))\/((-14)\/9)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2736, -10957, -24656, -43827, -68464, -98561, -134112?\n\"Answer: p**3 - 2745*p**2 + 7*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*s**3 + 534*s**3 - 175*s**3 - 194*s**3.\nAnswer: -23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:16 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 - -26 - -113 - 120.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33375 (base 8) to base 3\nAnswer: 201022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00216685 rounded to five dps?\nAnswer: -0.00217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.041, 0, -0.034, 3\/2, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25375 minus 5706?\nAnswer: 19669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8494320 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1754793 or 0?\nAnswer: -4\/1754793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = k, -4*k + 7 = -z - 72. Let q be 2\/8 + (-2)\/(8\/z). Suppose 5*r = -r + q. Are -4 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -978 - -977.583. Let i = r - 0.083. Let t be ((1 + 1)\/(-2))\/4. What is the second smallest value in t, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*c + 57 = -255 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 68 = 4*b - 5*i - 11*i, -94 + 142 = 2*b + 5*i for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145496683?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96\/(-10)*5\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, -2, 1\/2, -414, -4, 21\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuiro. What is prob of sequence ru?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(7\/54))\/((-10)\/(-70)). Calculate the greatest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013256855 rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3406289 to two decimal places.\nAnswer: 1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 6. Let u be o(0). Let k(c) be the third derivative of -c**4\/4 - 5*c**3\/3 - 20*c**2. Let m be k(-2). Solve u*j - m*j = 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.9 - -4. Let o = 46 + -46. Which is the nearest to o? (a) -1\/4 (b) d (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - -2096?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.15, 0.1, -2.725, -79?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - -51. Let h be (4 - 0 - (-73 + 1)) + 0. Let z = h - d. Solve -z*l - 25 = -7*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**3 - 2 + 2 + 2 + m - 3*m**2 - m**3 as b*m + d*m**3 + o + w*m**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2) + (sqrt(32))**2 + (sqrt(2) - (sqrt(2) + (sqrt(2) - -4*(sqrt(50) + sqrt(2))**2))).\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 1. Let u = -24 + 29. Suppose u*q - 10*q = 0. Suppose -4*p = -4*s - q*p - 4, 3*p - 9 = 0. Determine l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, v: 2, x: 8, l: 7}. Give prob of picking 2 x.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 271?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-7) + -3 + (3 - 0). Which is the smallest value? (a) -1\/11 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -15*a**2 - 2*a. Let x(h) = -31*h**2 - 5*h. Let j(d) = 10*q(d) - 4*x(d). Let m(z) be the first derivative of -z**3 - 8. Calculate m(j(c)).\nAnswer: -2028*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9980 is divided by 128?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 3*l**2 + 0*l**2 + l + l**3. Let h(g) = g**2. Let d = 4539 - 4538. Give d*n(o) - h(o).\nAnswer: o**3 + 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d + 0*d - 4 + 3*d. Let w(m) = -m + 1. Let l be w(-6). Let s be v(l). Solve -7 = 3*c + 4*o, o + 3*o = -c + s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*a + 35, -20 = 4*d - 5*a - 76. Suppose 4*u = -3*i - d, 3*i = -2*u - 0 + 3. Let n(g) = g + 3. What is n(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 122aa5?\nAnswer: -122aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*i**3 - 4055*i**2 - 41560*i - 99760.\nAnswer: 5*(i - 172)*(i + 4)*(5*i + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 65 (b) -11 (c) 0.028 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 3*o - 33 + 17, -16 = 4*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -985, -1022, -1059, -1096?\n\"Answer: -37*q - 948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6810 a factor of 870340845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3067656 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(15646*h + 19412*h + 5443*h).\nAnswer: -81002*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - d)*(25*d**2 - 42*d**2 + 0*d + 2*d).\nAnswer: 17*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3353 = 2*h, q + 4*h = 2*q + 1141. Let g = q + 2632. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20148, 20136, 20112, 20070, 20004, 19908, 19776?\n\"Answer: -p**3 - 5*p + 20154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22321 and 5353.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -201415 - -201215.827. Let t = 198.3 + c. Round t to 2 decimal places.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 2, l: 2}. What is prob of picking 2 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11672076*d. Let c(z) = 3*z**2. What is c(n(b))?\nAnswer: 408712074449328*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t, 2*b = 2*t - t + 2. Suppose 2*k + 6*r - b*r + 3 = 0, 2*r = k - 2. Let u(n) = n**2 - 5. Give u(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3486\/11 + 21521\/66. Suppose -4*f - 5*o - 70 = 0, 0*f = 3*f - 4*o + 68. What is the common denominator of (-193)\/f + 2\/8 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -31b?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 19*d = -8. Solve y = -d*k, y + 0*k + 2*k - 2 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80491819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 25*t**3 - 1. Let x be j(1). Suppose -x*p = -28*p + 8. Suppose -p*b = -8*b + 648. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (238\/(-35) - -6) + 24\/5. Suppose 129 + 35 = y*w. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (12 + 2 - 4 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1000101?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2272934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3766*a - 3766*a - 3*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 866018, 0, 3, -4 in decreasing order.\nAnswer: 866018, 5, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((-96)\/24)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/5)\/((-24)\/12)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/20*(2 + 17\/(-6)). Let l = -1 - -4. What is the nearest to j in -5, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzblxijb. What is prob of sequence xi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(325))**2 + sqrt(325)*1*-1.\nAnswer: 45*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 11*x**2 - 2*x + 26. Suppose 67*c + 207 + 71 + 459 = 0. What is t(c)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98215 + 693*z + 98215)*(-3*z + 2*z - 3*z).\nAnswer: -2772*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, -4.8, 1842, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6392.6*-4\nAnswer: -25570.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.905285 micrograms?\nAnswer: 0.006905285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**4\/12 + 13*n**3\/6 + 15*n**2 + 11*n - 4. Factor w(l).\nAnswer: -(l - 15)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*n**3 + 13*n + 2284?\nAnswer: -9*n**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - j = -180272. List the prime factors of j.\nAnswer: 19, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -323, -6, -0.7, 94, -1\/2 in decreasing order.\nAnswer: 94, 1, -1\/2, -0.7, -6, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3396*g**3*r**3 + g**3*r - 11*g**3 + 6*g - 1649*r**3 + 172 wrt g?\nAnswer: -20376*g*r**3 + 6*g*r - 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -21*k**3 + 11*k + 16. Let o(g) = 4*g**3 - 2*g - 3. Let h = -40 - -73. Let r(f) = h*o(f) + 6*q(f). What is the derivative of r(y) wrt y?\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t + 4*t - 97 + 0*t + 22 - 9*t as k*t + a and give a.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 7*h - 7 = 0, 4*p + 10*h = -62 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a week in seconds?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 5)*(0 + 0 + 3)*(-19 + 35 - 15)*(4 + m - 4)*(2*m - m - 2*m)*(2 - 2 + 2*m).\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7689102.\nAnswer: 2, 3, 577, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - s + 9. Suppose 2*b + 0*k = -4*k - 18, 3 = -b - k. Give p(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/1748073 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 37. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d + 28 = 0. Suppose -3*h + 25 = 4*v - 2*v, -3*v + 75 = -3*h. Let a be -1*((-8)\/10 + (-384)\/v). Solve 8*x + a = 3*x - z, 2*x - d = 4*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.670465l in millilitres?\nAnswer: 3670.465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1734 and 2354376648.\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1687132 - -2377132. What is k rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1\/6 (c) 11 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3704.0886 + 0.0886. Let y = b - -3702.513. What is y rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2720860 or 2720864?\nAnswer: 2720860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 - -424\/5. What is the nearest to -1 in 2\/15, w, -14?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 plus 147656723751?\nAnswer: 147656723750.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 21665?\nAnswer: -3\/21665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 70*i**2 + 27*i + 44 - 10 + 24 - 18*i**2. What is the remainder when h(-2) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.155628 kilometers to millimeters.\nAnswer: 6155628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*x + 11*x - 34*x - 4 - x + 4 - 3*x - 2*x + 3*x + (2 + 2 - 6)*(-1 + 1 + 2*x).\nAnswer: -40*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9194*j*m**3 + 21*j*m**2 - 12*j*m + 2*m**3 - 22595229*m + 2 with respect to j.\nAnswer: -9194*m**3 + 21*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 303, 472, 653, 846?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5948 - -5951. Solve 0 = q - 8 + z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o - 353632 = 738921 - 140789. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + sqrt(832).\nAnswer: 1 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-9 - -26)) + 9 - -15\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -143 + 146. Let r be w\/(-9*(-4)\/24). Which is the nearest to -0.3? (a) r (b) 0.2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -3*t + 7. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445527 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pprfprrrpsppffppfrrx. Give prob of sequence xrf.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/152*(-4)\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 + 6*y**2 + 4*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 - 8*p - 37*p**3 - 8*p + 5*p.\nAnswer: -30*p**3 - 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4473, 3, -8, -2, 4, 15 in ascending order.\nAnswer: -4473, -8, -2, 3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -12. Suppose 4*p - 2 = 2*q, 3 - w = 4*q - 5*p. Suppose -2*b + 5 = q, -4*b = g - 6. Solve 5*u + 2 = -g*r - 23, -2*r + 3*u = -15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**5\/5 - 21*h**4\/5 - 21*h**3\/5 + 69*h**2\/5 + 132*h\/5 + 12 = 0?\nAnswer: -5, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15590)\/14)\/((-60)\/(-2770)). Let x = b - -51414. What is the common denominator of x and 31\/20*-3 - -1?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 + -7.16. Which is the second biggest value? (a) k (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -2385454.\nAnswer: 143127.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/5 + 196588*k**3\/5 - 4830461976*k**2\/5 - 19329122124*k\/5 + 101456216442\/5 = 0.\nAnswer: -7, 3, 49149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 60*c + 59*c = -2, 0 = 3*w - 4*c + 23 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -4, -1.4582, 20, 0.1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 1\/((-3)\/60) + -3. Let g(d) = d**2 + 14*d - 126. What are the prime factors of g(w)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200011222002 (base 3) to base 15.\nAnswer: -1287a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b0d16 (base 16) to base 12.\nAnswer: -284a9b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*k - 26*k + 23*k - 54 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1316.453 times -2?\nAnswer: 2632.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8900 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/8 - 7059*k - 99658962 = 0.\nAnswer: -28236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12595*0.7\nAnswer: 8816.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/(-40) + (-1)\/(-8). Put -1, z, -4 in decreasing order.\nAnswer: z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 5\/2*l**2 - 2\/5*l - 78 - 4\/5*l**3. Factor x(r).\nAnswer: -(r - 2)*(12*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*w = -5*w - 2, u - 10 = -5*w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49824.24 grams in nanograms?\nAnswer: 49824240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**6\/360 - j**5\/24 - 5*j**4\/12 - 2*j**3\/3 + 3*j. Let m(h) be the second derivative of i(h). List the prime factors of m(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-280)\/(-224)*-1)\/(-1*(-4)\/(-6))\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 12 + 26 = -6*y + 10*y - 6, 0 = 5*y + 6*n + 85 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1*14163\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 5 + 5)*(-5 + 3 + 3) + (2*k**2 - 2 + 2)*(2*k - 3*k - 4*k) + (-53*k + 53*k + 8*k**3)*(4 - 4 + 1).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 12*q**2 + 3*q**2 + 3*q**3 - 1124 + 1144 - 9*q. Let g(x) = -2*x**3 - 10*x**2 + 6*x - 13. Let v(o) = -8*g(o) - 5*h(o). Calculate v(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiniiiinii. Give prob of sequence iii.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7)*q**(-6))\/((q*q*q*q**(-1\/10))\/q**(1\/22)))**(-21\/4) assuming q is positive.\nAnswer: q**(4578\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208471 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 8 + 12. Let b be (-16)\/12*(-48)\/4*-2. Let t = 33 + b. Sort -1, h, t in increasing order.\nAnswer: -1, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 706 + -702. Let f(j) = j. Let s be f(-2). Let t(d) = -d**2 + d - 1. Let c(m) = -3*m**2 + 4*m. Let a(u) = s*t(u) + c(u). Determine a(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*w + w - 9 = 0, -4*w + 13 = -i. Let g be -2 + i - -2 - -15. Suppose -8 + g = 2*l. Solve -2*f + 6 = -5*s - 7, 0 = l*f - s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-6)*(-90540)\/(-5030)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*d**3*k*l**4 + 3*d**3*k*l**3 - d**3*k*l**2 - d**3*k + d**2 - 43*d*k*l wrt l?\nAnswer: 1488*d**3*k*l + 18*d**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) 2\/8737 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 49*x - 492. Calculate f(7).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405 and 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 3, -2, -4 in decreasing order.\nAnswer: 76, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyh when three letters picked without replacement from woznhznzwnyozhw.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2 + 0 - 3*t**2 + 6 - t**3 + 8*t. Let q be z(-5). Let k(j) = 3*j**2 + 122*j + 29. Let a be k(-41). Calculate the greatest common divisor of q and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**3 - 55*o**2 - 223*o + 7. Let f be s(-6). Put -4, 19, f, -5 in descending order.\nAnswer: 19, f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -95 + -13?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*k - 9, -2*k - 3 = -2*d - 7. Let h = 2 + 0. Sort h, d, 15 in increasing order.\nAnswer: d, h, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9537*b**4*f**2 + 1765*b**3*f - 4*b*f**2 - 153*b*f + 11*b - f**2 + 4*f wrt b?\nAnswer: -114444*b**2*f**2 + 10590*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 17 (c) 5 (d) -0.7 (e) -3\/5 (f) -199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9996929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.27786278 rounded to 1 dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + -7 + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((194\/776)\/((-1)\/(-8)))\/((-6)\/99)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 237307.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 2}. What is prob of sequence dd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1416 in -6, -0.4, 0.018, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 - -8467?\nAnswer: 8406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 - 100*i + 328. Give f(-36).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5409 (b) -4 (c) 4.02 (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276075 is divided by 221.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/36*2\/(-5))\/((-1)\/1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 234716303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 315. Let h(i) = -2*i - 88. What is h(q(w))?\nAnswer: -2*w**2 + 542","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in 9, 1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3919659583.\nAnswer: 7, 71, 7886639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/p**0)\/(p**6*p*p*p**(-1))*(((p*p\/p**(2\/5))\/p)**18)**(-7\/6) assuming p is positive.\nAnswer: p**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 86.6 and -6910?\nAnswer: 6996.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2. Suppose 3*k - 38 = -w + 5*w, -k = -3*w - 21. Suppose 2*y = -y + k. Let g(m) = -3*m + 2*m - y*m. Give g(u(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2 + 13*a - 4. Give b(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*h + 60*h = -2*u - 16, 70*u + 136 = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 486898 - 216495. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*w = -20, -2*w + 2 = -5*m + 10. Let b(c) = -c**3 + 8. What is the lowest common multiple of 10 and b(m)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (-144)\/(-33))\/((-22)\/33)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 4. Let q be r(-10). Suppose -q*z + 227 = -211. Calculate the remainder when z is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*c = 20, 2*b + 2 = -2*b + 5*c. Suppose 3*u - 7 = -b*p + p, -4*p = -5*u - 11. Factor -3 - 2*m**4 + 9 - p + 4*m**3 - 4*m.\nAnswer: -2*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3, -3\/5, -1\/190, -1, 0.034?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*o - 4*o = 20, 20 = 3*i + 4*o. Let c be (-28)\/(-6) + (16\/(-3))\/i. Suppose 12 = 3*w, -4*k = -5*w + 2 + 18. Solve n - 3 + c = k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 284079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 2. Let t be q(-1). Let u = 71 + -48. Which is the third smallest value? (a) t (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -8\/353 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgqdggqqgdggqgdg. What is prob of sequence dqqq?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -58 + 29 + 31 + 355001*x. Let l be c(-2). What is l rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 - -70. Let m = k + 13. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 * -44\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 84 + 947?\nAnswer: a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3478?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10) - (-16)\/10. Let z be (4 - 5)\/((-1)\/l). What is the third derivative of 5 - 5 + 2*h**z + 2*h**4 wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 + 14*x - 79 as b*x + u and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 619, 1211, 1839, 2521, 3275, 4119, 5071?\nAnswer: 6149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64809 and 30.\nAnswer: 648090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-3))\/(-3) - -5. Suppose 2 = -p + y. Let t be (7\/(-2) - -2) + 3. Is t greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 0)*(0*y - 3*y + y) + y - y + y - y + y + y)*(575 + 635 - 1543 + 566).\nAnswer: 932*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 24, 41, 56?\n\"Answer: -c**2 + 22*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t = 0. Let l be (1 - 2\/3)*t. Find the common denominator of (l - 1)*(-51)\/15 and -48\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -6)\/(10\/(-4) + -2). Let t = 355 + -357. Which is the nearest to -3\/8? (a) t (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 + 1.8. Let k(v) = v**3 + 13*v**2 + 10*v - 20. Let f be k(-12). Sort 1, o, 0, f in ascending order.\nAnswer: o, 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9441.4 + 9438.4. Let z = 4.2 + -4. Which is the nearest to 0.17? (a) z (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = -2*b - 10, 4 = u - 5*b. Solve 10 = 2*j + 5*v, u*j - 14 = -3*v + 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14211*b**4 + 2*b**2 - 26159 with respect to b.\nAnswer: -56844*b**3 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*l - 28, 3*y + 6*l - l = 42. Let z = y + -10. What is the third derivative of -1 - 4 + 5 - 4*i**2 - 3*i**z wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1190 - 63081*k**2 + 21030*k**2 + 21027*k**2 + 21026*k**2.\nAnswer: 2*k**2 - 1190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*c - 294, 0*c + 2*i + 132 = c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2796096 and 26664?\nAnswer: 3106462656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 1. Let k be d(5). Suppose k*q - s - s - 4 = 0, -3*s = -2*q - 2. Factor 10*u + q*u + 18 + 3*u**2 - u**2.\nAnswer: 2*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13*d**2 - 3*d - 4. Let r be i(-1). Let l(w) = w**3 + 14*w**2 + 18. What is the remainder when l(r) is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8748.534 + -8758. Let c = t - -9.6. What is c rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9672? (a) 30 (b) 0.31 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 4*b - 20 = 0. Suppose 2*c - 2 = -2*g, -c + 8 = -b*g + 2*c. What is the nearest to -2\/7 in g, -4, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68467*r - 34229*r - 34229*r + 27.\nAnswer: 9*r + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9ab95 (base 16) to base 14.\nAnswer: 126d5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k - 44. Let t be z(8). Is (-15358)\/(-4) + t*6\/48 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffst when four letters picked without replacement from cxfftxs?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31867\/33325 + -5\/1333. What is the common denominator of i and 19\/33?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*u. Calculate the smallest common multiple of u and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 963074.3 centuries to decades.\nAnswer: 9630743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 153*w - 13. Let q be b(11). Let t be (-2)\/(-8) - q\/(-8). Suppose r - 50 = t. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -256525.2079?\nAnswer: 256524.2079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-249)\/(-18) - (-3)\/18. What is the smallest common multiple of 3*(-3)\/9 + v and 2 - 5\/(15\/(-12))?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 9*l - 7. Let j be p(6). Let n = j - 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1969*g**2 - 7822*g + 182. Calculate v(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -644416, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 10. Suppose -2*v = -2*h - 4, 2 = v + 3*h - 0. Suppose 7*b = a*b + v. Let d(c) = c**3 + c. Calculate d(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 12:57 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mddmmdmm. Give prob of sequence mdd.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -acac7 (base 16) to base 13\nAnswer: -1b9c06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -18, 4, 39 in decreasing order.\nAnswer: 39, 4, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -6.7, -0.4, -2\/15, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19987815 divided by -689235.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**8\/560 - l**6\/120 + l**3\/3 - 2. Let w(v) be the third derivative of r(v). Find the third derivative of w(d) wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/774 and 103\/860.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/15)*b*b**4\/b*b*(b\/b**(-2\/13)*b)\/b*b*b*(b*b*(b**(-3\/2)\/b)\/b*b)\/b*b assuming b is positive.\nAnswer: b**(3037\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 36 = -4*c - 5*d, 3*d + 8 = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -253157 (base 8) in base 2?\nAnswer: -10101011001101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/4 (b) -5\/4 (c) -199 (d) 4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2 + o + 4 - o**2 + (-3*o - 2*o - o - 4*o + 2*o + 4*o + (-2*o - 2*o + 3*o)*(0 + 1 - 3) + 4*o + 0*o - 2*o - 1 + 1 + o)*(2*o + 2*o + 5*o).\nAnswer: 8*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 8:54 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 15\/10201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/((266\/21)\/19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {j: 16, a: 2}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 870 and 750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 8 + 1)*(t + 7*t - t)*(-10 - 1 - 28).\nAnswer: 4641*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24545551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 12 = -6*x. Suppose a - x = 0, -4*g + 0*a + 2*a = -100. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3754 or 11503?\nAnswer: 3754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + -4 + (-3 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28105, -112457, -253075, -449965, -703133, -1012585, -1378327?\n\"Answer: -b**3 - 28127*b**2 + 36*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0*q**3 + 1\/8*q**4 + 11*q**2 + 0 + 0*q. Let g(a) = 5*a. Calculate g(r(f)).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 16 = 4*g, -5*n = g - 2 - 2. Let o(x) = 37*x + 7. Let h be o(-3). Calculate the remainder when 4\/(-10) - h\/10 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2. Let d(c) = 5*c**2 - 4*c**2 - 1313 + 1306. Give -4*d(p) - 14*v(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + y**2 + (2 - 2 + 2*y)*(113*y - 202 + 202).\nAnswer: 227*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 8814.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 46856, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 9*q + 7*q + 7*q + 5. Calculate a(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.49 - -1.4. Let k = d - -0.06. Suppose 2 = -i + 1. What is the third smallest value in 0, i, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827437 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**3\/3 - 8*s**2 - 18*s - 9. Let z be g(-14). Suppose -2 = z*i - 12. What is the closest to -0.6 in 0, i, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1750, -17, -3\/2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 17*g - 15*g. Let t = 15 - g. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*n*r**4 + 381*n*r**2 + 2*n - 28*r**4 - r**2 wrt r?\nAnswer: -1320*n*r - 672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4273000 rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8*d + 2*r = 12, -3 = -d - 5*r. Suppose 5*p - 3*s - 23 = 0, 46 = d*s + 49. Solve -2*b - 2*b = -p*o + 20, 0 = -3*o - b + 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.2572 rounded to 1 decimal place?\nAnswer: -116.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = d + 9, -5*d + 136*y - 139*y - 31 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.6836 - 0.0446. Let c = v - -0.361. Sort -3, c, 0.4, -5 in increasing order.\nAnswer: -5, -3, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 2*z**3\/3 - z**2 - 56*z + 2. Determine c(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*j**2 + 18*j**2 - 10*j**2 + (0*j + 3 + 2*j - j)*(-2*j + 2*j + 2*j) in the form f*j**2 + o + d*j and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729824026.\nAnswer: 2, 7, 5503, 22453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaearrraaaaeerrar. Give prob of sequence rara.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425, 419, 413?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.056.\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*m - 33881 - 39004 = 140*m - 6554 for m.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/5 - (-78)\/60. Which is the third biggest value? (a) 1\/6 (b) -7\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1418183, 5672724, 12763625, 22690886, 35454507, 51054488, 69490829?\n\"Answer: 1418180*p**2 + p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + 3 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 35*b**2 + 579*b + 7707. Calculate c(-24).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2488b4 + -22d?\nAnswer: 248685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 7 + 5 = -4*v, -8 = -v + 2*g. Suppose 5*w + 0*q = -5*q + 180, 3*q = v. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1\/9 (c) -1 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -503*m**3 - m**2 + m - 2. Let u be b(1). Let h = 925 + u. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 9*y + 1. Let a be ((-192)\/160)\/(6\/(-50)). Determine j(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*d - 126, d + 4*u = u + 42. Let n(r) = 3 - 12 - 4*r**2 + 5*r**2 - r. Let a be n(-8). Calculate the highest common factor of a and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(4) - 6*(sqrt(16) + sqrt(4))).\nAnswer: -sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2474344 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, -1\/18774, -129?\nAnswer: -1\/18774","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 461017 - -9.4\nAnswer: 461026.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/30 and -53\/282?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 10*h = 35 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -25.7. Which is the nearest to 3? (a) v (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160 divided by 40\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1066 and 1664?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-348)\/57 + 6 + (-4)\/(-38). Factor 3*v + 3\/2*v**4 + r*v**3 - 9\/2*v**2 + 0.\nAnswer: 3*v*(v - 1)**2*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -69, -167, -337, -603, -989, -1519?\nAnswer: -2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/8 - 1818\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.07649 and 0.62.\nAnswer: -0.6674238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0 - 2*z + 0 + 0. Let f be g(1). Let b be f\/(-12) - 124\/24. Let y(o) = -4*o**3 + 5*o**2. Let a(h) = -h**3 + h**2. Determine b*a(i) + y(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1897*w**5 - 80*w**4 + 387*w**2 - 2*w + 34.\nAnswer: 113820*w**2 - 1920*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Suppose 0 = -2*z + 6*z - 2*f - 6, 2*z + f - 5 = 0. Solve -r*j = -5*j + z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (16 - 17 - 13 - -7)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829699 is divided by 198?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o = 20. Let m(v) be the first derivative of v**4\/4 - 5*v**3\/3 + v**2\/2 - 5*v - 28. Determine m(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 12:19 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 25398370?\nAnswer: 279382070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.546 millimeters in nanometers?\nAnswer: 249546000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -0.3?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q + 12. Let i(b) = -4*b - 2. Let a(j) = 23*j + 12. Let f(v) = q*a(v) - 34*i(v). Find the first derivative of f(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448*o + 436*o + 72 = 0. Let j(t) = 4*t - 8. Let r(i) = 3*i - 7. Let f = 5 + -10. Determine f*j(w) + o*r(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000 + 1121202?\nAnswer: 1112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from ggwggggggmggg.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -192*i - 12. Let d(w) = -3*w - 1. Let v be d(0). What are the prime factors of l(v)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:16 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d - 33. Suppose -3*v + d = -7. Suppose 3*l + v + 9 = z, -5*z - 3*l + 3 = 0. Solve -z*r - 2 = 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 (base 14) in base 4?\nAnswer: 22120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.050913554 to five decimal places.\nAnswer: 0.05091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-56) - 21\/20. Which is the nearest to -2\/5? (a) -4 (b) 4 (c) -2\/3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 11*s**9\/252 - s**6\/8 + s**5\/5 + s**3\/2 - 642*s**2. What is the third derivative of k(z) wrt z?\nAnswer: 2640*z**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1584 = 125*h - 959 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -11*u - 5. Let q(p) = 8*p - 8. Let m(l) = -9*l + 12. Let x(i) = -5*m(i) - 7*q(i). Determine 2*f(h) - 3*x(h).\nAnswer: 11*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**4 - n**2 + 187*n wrt n?\nAnswer: 24*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 185, -4, 2, -1\/20 in decreasing order.\nAnswer: 185, 2, -1\/20, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3 - -4) + -1)*(-6)\/12. Let j(r) be the third derivative of y - 3\/7*r**3 - 1\/14*r**4 + 2*r**2 + 0*r - 1\/210*r**5. Find s, given that j(s) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-84*q**2 + 49*q**2 + 14 + 49*q**2)*(-2*q**2 - 2*q**2 + 2*q**2) to the form d*q**4 + v*q + y + g*q**3 + j*q**2 and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 8:47 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*z - 853 = 83 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -690*v + 692 = -2758 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(-238)*14\/12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - c - 3*c - 14 = 0, -4*l - 5 = -3*c. Let h be 3 + (2 - l) - 3. Factor -14 + 13 + 6*u**4 - 5*u**h + 2*u - 2*u**3.\nAnswer: (u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2205 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*w**2 + 14*w**2 + 90*w**2)*(-174 + 81 + 127).\nAnswer: 2890*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139 + 121. Let m be 3\/(u\/(-1437))*(-1 - 1). Is (m - -1)*(-1)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2154 is divided by 268.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332 - 10*v - 177 + 509.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-21) - 120\/(-21). Suppose s + g = 31. Suppose 0*l + l - s = 0. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from loooqqosqld.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1752\/32185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6419?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13, -114, -361, -820, -1557, -2638, -4129, -6096?\n\"Answer: -11*y**3 - 7*y**2 - 3*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 757.62216 rounded to the nearest 10?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88016.4um to nanometers.\nAnswer: 88016400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) -35 (b) -4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156702.8 decades in months?\nAnswer: 18804336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Suppose 0*m - 3*r + 5 = m, -3*m + p*r = -2. Let h = -77 + 85. Solve 0*z + m*z = h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7 + -427.7. Let o = 424.9815 + n. What is o rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.53 - 1.04. Let n = -391 + 394.39. Let r = n - y. Round r to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0261 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4616, 4567, 4480, 4355, 4192, 3991?\nAnswer: 3752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -232, -1007, -2318, -4165, -6548, -9467?\n\"Answer: -268*b**2 + 29*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 1:28 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*426.64.\nAnswer: -11945.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3\/8, 4, 4\/3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1628648 (base 10) to base 13\nAnswer: -4503c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*m + 0 = -3, 0 = -4*m - 12. Let y(x) = 7*x - 9. Let v(z) = -3*z + 11 + 1 - 7. Determine p*v(c) - 2*y(c).\nAnswer: c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.248+-7945.4\nAnswer: -7944.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(6)*3)*-4)**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -5, 2\/2553?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15644\/30217 + 58\/737. Let t be (0 - 0)\/(-1 - -3). Is s >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.077758 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -17 + -2 - (-1 + 0). Let o = p - -10. What are the prime factors of (-18)\/o*(4 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 212\/(-2332) + 1587\/33?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-156)\/10*(-280)\/(-21). Does 4 divide d\/(-12) + (-1)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(5) + 5 + sqrt(5) - (-4 + sqrt(80)).\nAnswer: -2*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*t - 15, -h + 3*h + 15 = -5*t. Let j(i) = -7 - h*i - 2*i + 3*i. Let b be j(-3). Solve 0 = 2*x + 3*x + b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12103 - 2874. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1250 + -507. Let c = -763 + u. What is the closest to -2\/5 in c, -6, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 116701127?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.205? (a) 2 (b) 3.6 (c) 1 (d) 1\/2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7655883000 to the nearest one million.\nAnswer: 7656000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 17. Let o be p\/((-6 - -3)\/(-477)). Let k = o - 869. What is k rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226681137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86 (base 9) to base 3.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbrrvvrrrrvrrrrrvr. What is prob of picking 1 b, 2 v, and 1 r?\nAnswer: 96\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581*s = -157*s + 9328 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 19. Let k(y) be the third derivative of -y**5\/60 + y**4\/3 + 3*y**3\/2 + 12*y**2. Give k(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 - 7*r. Let u(p) = p**2 + 2*p. Let c be (-1374)\/(-66) + (-4)\/(-22). Let j(t) = c*u(t) + 6*k(t). Let w(i) = 14*i. Give w(j(f)).\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-6*sqrt(90)*1)\/(sqrt(726) + sqrt(726)*1 - sqrt(6)))\/(((sqrt(162) + sqrt(162)*-2 - sqrt(162) - sqrt(162))\/sqrt(6))\/(sqrt(18)\/sqrt(2)*2 + sqrt(9))).\nAnswer: 4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570809670.\nAnswer: 2, 3, 5, 1123, 16943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 15*m - 27. Give u(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10530268 is divided by 1316269.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 6*o = 5*k + 66, 0 = -2*o - 4*k + 234 - 282 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 - 6.4. Suppose -3*x + 0*x = 4*y - 20, -4*x = -y - 33. Suppose x = 4*h - 0*h. Which is the third biggest value? (a) 0.5 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-16) - 6 - (-6)\/(-8). Let d be p + (1 - -9) + 0. Solve 0 = -9*q + 8*q + d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 + 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 269?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 h, and 1 v when four letters picked without replacement from hhohovlhoooohhoiih?\nAnswer: 49\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6*z = -3. Is z equal to -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -17, -30, -47, -68?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 9 - 25 = 0. Let r be (v\/5)\/((-6)\/(-15)). What is the first derivative of -j**4 + 17*j**r - 3 - 17*j**2 wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -16*w + 10. Suppose 14*o + 3150 = 4*o. What is the remainder when m(-5) is divided by (-2)\/(-4) + (o\/(-14))\/1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37512*j**4*q + 248*j**3*q**3 + 41*j*q**2 - 3*j - 2*q**3 + q**2 + 904 wrt j?\nAnswer: 450144*j**2*q + 1488*j*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12359511*k**2 + 35*k - 35*k.\nAnswer: -12359511*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 - 939b?\nAnswer: -93cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2*m = -3*f - 1, 4*m + 7 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 39319098 divided by 4278\nAnswer: 9191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 650 and 233090?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*v - 271, -5*z - 3*v + 21 + 222 = 0. Suppose 0 = 55*t - z*t - 28. Solve 2*y = -5*n + 3*y + 19, 0 = -2*n + y + t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, v: 6, s: 1, e: 1, d: 7}. What is prob of sequence dyd?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14078527 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9798\/299 - -21) + -54.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r + 90*r - 129 + 129.\nAnswer: 79*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 139\/15346?\nAnswer: 139\/15346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12363470.999921 - 12363444. Let b = 27 - d. What is b rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.636 to 2 decimal places.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, 930, 2809, 5632, 9399?\n\"Answer: 472*u**2 - 481*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*-1*3 - ((sqrt(2057)*1 + 3 + sqrt(2057))**2 + sqrt(2057))) + ((1*sqrt(68) - sqrt(68))*-3*4)**2.\nAnswer: -8237 - 176*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-4))\/((-21)\/28). Suppose 4*z - 13 = -5*w, 3*w + z = -2*z + j. Suppose 0 = -3*y + 4*g - 9*g + 40, 5*g - 70 = -w*y. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -8*y - 11. Solve y*i = -3 - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114607, -111904, -109201, -106498, -103795?\nAnswer: -101092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 14*m**3 - 2*m**2 + 4*m. Let z be k(3). Suppose 56*n - 67 = 45. Factor -2*q**4 + 9*q**n - q**4 - z*q + 6 + 357*q + 3*q**3.\nAnswer: -3*(q - 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8561 and 2151257.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143, 4, 1, 2, 3.\nAnswer: -143, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3 + 9*y - 8 + 0 as j + u*y and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 11:18 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, 5, 15, 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -42, -76, -136, -222, -334?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 515, -4, -3, -1, -15, 10.\nAnswer: -15, -4, -3, -1, 10, 515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 99*y + 92. Is z(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*v**2*y - 69332*v**2 - 14*v*y + 80*y wrt y?\nAnswer: -7*v**2 - 14*v + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22118*c - 66362*c + 22122*c + 22122*c - 17*c**2.\nAnswer: -17*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 l when four letters picked without replacement from {d: 2, l: 3, t: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 49, 48, 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a**2 + a**3 + 0*a**2)*(0*a + 2*a + 2 + 4*a) as l + i*a**3 + x*a**2 + d*a + h*a**4 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 10) in base 6?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84860481 is divided by 84860481?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01086 (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by (-4)\/14 + 3680\/140?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 2*p**2 + 0*p**2)*(8*p + 6*p - 22*p) + 0*p**3 + 2*p**3 + 0*p**3 + p**3 + 2 - 2.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -296714.6 to the nearest 1000.\nAnswer: -297000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 362749.086 to the nearest one hundred.\nAnswer: 362700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434041 (base 5) to base 6.\nAnswer: 152544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0417 and 3.\nAnswer: 0.1251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 949.3989 tonnes in kilograms?\nAnswer: 949398.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in centuries?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 3*c + 7*c. Let v(n) = 2*n**2 - 4*n**2 - 2*n**2 + 6*n**2. What is v(p(k))?\nAnswer: 98*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 0*j**3 + 1\/336*j**8 - 1\/8*j**4 + 0*j**7 + 0*j + 0 - 3*j**2 + 0*j**5 + 0*j**6. Find the second derivative of n(v) wrt v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29\/2 - 15. Let h = -49.477 + 0.077. Let g = h + 49. Which is the nearest to m? (a) -0.05 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75734486.\nAnswer: 2, 29, 37, 35291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011101001100111111110 - 100?\nAnswer: 1000011101001100111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 10) in base 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(88))\/sqrt(8))**2 + sqrt(99)\/sqrt(81).\nAnswer: sqrt(11)\/3 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.8 * -9.66649.\nAnswer: 27.066172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 107?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-6))\/((-1)\/171). Suppose 5*q + l = 236, 4*q - 2*l + 85 - w = 0. What is the greatest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + -0.9. Let p = 0.877962 - -0.122008. Let t = p + d. What is t rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(11) + -2)**2.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15412823?\nAnswer: 449, 34327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3965 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 7*t + 5. Let c be d(0). Suppose 0 = -5*j + 2*j + 9. Solve -c*u = 5*s + 25, j*u - 2*u + 5*s = -5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5880 is divided by 1883.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1130304 divided by 6.\nAnswer: 188384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w + 36. Let i be (-2 - 0)\/4*w. Suppose 3*g + 3 = 39. Calculate the greatest common factor of g and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1280*w + 1283*w = -6, -w = 5*f - 118. Let u be (-4)\/((8\/6)\/(-2)). Calculate the highest common divisor of u and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 21*c**2 - 3*c - 2. What is the remainder when 85 is divided by t(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 9:18 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**5\/30 - u**2. Let z(w) = w - 1. Let f(r) = -4*r**2 - 2*r + 2. Let y(n) = -f(n) - 2*z(n). Calculate l(y(a)).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = 48. Let g be (-7)\/(6 + (-1580)\/240). What is the highest common factor of g and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 - -4480612.\nAnswer: 4480611.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2424263567.86 - 2424263466.860000391. Let o = x - 101. Round o to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210481664 divided by -26310208\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -325806 or 265?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169 - -166. Let t be ((-1662)\/112)\/f - (-6)\/(-16). Find k such that 2\/7*k**2 - 16\/7*k + t = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c**4 - 52*c*j + 2*c + 411*j with respect to c.\nAnswer: -32*c**3 - 52*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52424 times 3?\nAnswer: -1.57272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 99*l**3 - 2*l + 470*l**3 - 187*l**3 - 181*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/(3*1\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*d - 10*d + 140 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7\/3)\/d*d**8*(d\/(d**(-2\/11)\/d*d))\/d*d**26)**(-45) assuming d is positive.\nAnswer: d**(-15270\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/30005 and -74\/79375227.\nAnswer: 396876135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-9) + 6\/2. Which is the nearest to -2? (a) 1\/6 (b) w (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-80) - (-474)\/(-8). Let c = 38 - i. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*j, -5*v = -3*j - 3490. What is the remainder when v is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29110784007 - -0.4?\nAnswer: -29110784006.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9987*y**5 + 7429*y wrt y.\nAnswer: -199740*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 137245185 divided by -168399\nAnswer: -815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Let h = 0 + s. Let x be 2\/14*(4 - h). What is the second smallest value in 1, 3, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**3 - 2*u**2 - 4. Suppose 0 = -9*a - 18 + 45. What is the units digit of m(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1013201031?\nAnswer: 1013201033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 0 - 1 + 827*m - 1801*m. Let x(i) = i. What is v(x(r))?\nAnswer: -974*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 171*j + 446 - 905 = 0. Factor 8\/7*k**2 + 4\/7 + 2\/7*k**j + 10\/7*k.\nAnswer: 2*(k + 1)**2*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 248*f**4\/3 + 535*f**2 + 16*f + 25. What is the first derivative of d(a) wrt a?\nAnswer: 1984*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1669413572.\nAnswer: 2, 107, 3900499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1997716 divided by 5?\nAnswer: 1997716\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1386, -1393, -1400, -1407, -1414?\n\"Answer: -7*p - 1379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*l + 33*l + 33 - 168. What is the highest common divisor of 321 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-77)\/2662))\/(((-3)\/(-1))\/((-189)\/126)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 4*q)*(2 + 3 - 4 + (-3 - 1 + 3)*(0 + 0 - 2) + 2 - 4 + 1 - 2 - 1 + 4 + 12 - 12 - 5).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - 5*b**2 + 3*b - 1. Let s be n(3). Suppose 4*o + 69*x - 42 = 64*x, -39 = -3*o - 5*x. Sort s, 0, o.\nAnswer: 0, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.386 - 7.586. What is the nearest to -5\/4 in 2, 48, 1\/6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 12*y**3 + 38*y**3 - 65*y**3 + 3.\nAnswer: -39*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 33 - 46 = n + 25, -2*v + 4 = -10*n + 2 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(1*sqrt(2)) + sqrt(18) + 4)**2 + (sqrt(1152) + (sqrt(1152)*-2 - sqrt(1152)) + sqrt(1152) + sqrt(1152))\/(sqrt(400)*-2).\nAnswer: 32*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112 (base 3) in base 12?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.286+0.013033\nAnswer: 0.299033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 7*m**5\/60 - 4*m**3\/3 - 8*m**2. Find the first derivative of j(h) wrt h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1465041 is divided by 1465037.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56374 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4110 = 674. Suppose 3*d + 3*s = -0*d + 708, -a = -5*d - s. Suppose -2*h - 2*h + d = 0. Calculate the remainder when h is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*y - 70*y + 136*y + 6*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*l + 8, -5*y = 5*l - 2*l - 17. Suppose r = -3*r - y*o + 672, -5*r + 3*o = -824. Let u = r + -108. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n + 310 = -11*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2903\/2 + -1452. Which is the second biggest value? (a) -10 (b) m (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9496 + -5350. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 6*c**2 - 15. Let i be o(5). Suppose -2*t = -2*y - 2, -5*t + y + 17 = -y. Solve i = -t*s + 30 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 3*g + 3*g)*(-2 - 2 + 2)*(-2 - 2 + 2) to the form l*g + b and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1537417345, -1537417344, -1537417343?\nAnswer: -1537417342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-612)\/1275*(-5)\/8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-207681)\/(-16839))\/((1\/(-1))\/(-3)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 + 6*u**2 - 12*u**2 + (1 - 4 + 1)*(u**2 + u - u) as d + m*u**2 + g*u and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 8679433.77ms?\nAnswer: 0.014350915625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 817581043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 54, 95, 160, 249, 362, 499?\n\"Answer: 12*h**2 + 5*h + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 35. Calculate the greatest common factor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61063 by -269.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/3 < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.798 to 2 dps.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(96)*5)\/((sqrt(147) + 4*sqrt(147) + sqrt(147))*-4))**2.\nAnswer: 800\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 6*p**2 - 34*p - 12 = 0.\nAnswer: -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44151716\/5 or 5?\nAnswer: 44151716\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 940*i - 423693. Give d(451).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 702, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*-65 - 0*-40*40\/(-3200)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b + 99 = 0. Suppose 5*p - 11 = b. Suppose 5*m + 3*q = p, 0 = 2*m - 4*m + 4*q - 12. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 549*s + 6. Let z(f) = -117*f - 2. Let q(g) = -b(g) - 4*z(g). Let v(t) = 82*t - 3. What is 3*q(a) + 2*v(a)?\nAnswer: -79*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3c (base 13) to base 8\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 8*x**2 - 11*x**2 - 43396*x + 5*x**2 + 43396*x.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/3 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14137 and 9805803?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/(w\/(w**(-1)\/w)))\/w)\/(w*w**(-3))*(w**(-3\/2)*w)**(-41) assuming w is positive.\nAnswer: w**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10325 (base 8) to base 16\nAnswer: 10d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16945 = 25*n - 1655. Calculate the smallest common multiple of n and 124.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 - 2.89924. Round k to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266625551?\nAnswer: 266625551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -30 + 15 + (3 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + 63. Let o = 146 - y. What is n in 17*n**3 + 14*n**5 + o*n**3 - 213*n**4 + 49*n**5 + 31*n**3 + 36*n**2 = 0?\nAnswer: -2\/7, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*f - 2*p, 2*f - 2*p - 3 = 5. Let n(w) = 28*w**2 + w + 1. Let i be n(f). Let y = 142 + -72. What is the highest common factor of y and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16\/3 (b) 8 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 18. Solve -3*x + 3*t = 3, -k = -5*x - 3*t + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 1147, 2772, 5277, 8794?\nAnswer: 13455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -24. Calculate the remainder when t is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Suppose 2*u + 48 = i*u. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from rrrrrfrrfrrrr.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 5*z**2 - 8*z**2)*(-2*z**2 + 1 - 1 + (-1 + 1 - z)*(z + 0*z - 2*z)) - 3*z**4 + z**4 + 4*z**4.\nAnswer: 11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(605) - (sqrt(605) + -1*sqrt(605) + sqrt(605))))**2 - ((sqrt(330)*-1 + sqrt(330))\/sqrt(11))\/sqrt(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.94 + 4.94. Suppose h + 2 + 1 = 0, -5*q + h - 17 = 0. What is the closest to u in 1, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 900 and 152?\nAnswer: 34200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -5, -37, 0, 3, -3 in descending order.\nAnswer: 3, 0, -3, -5, -13, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 1:42 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9653 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + b**2 - b - 1. Let j(m) = 3*m**3 - 4*m**2 - 2. Let h(l) = 5*f(l) + j(l). What is the tens digit of h(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -25. Let k = 19 + w. Solve -k*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 - 63*b - 75*b + 138*b.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2794 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67153 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/3, -15\/7, 0.3, 9, 112?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -3*c + 2*t, 6*c - 4*t = c + 149. Suppose 42*o - 5993 = c*o. List the prime factors of o.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 10:06 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:12 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12666, -12798, -12930?\nAnswer: -13062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -13*j + j - 2 + j**2 + 0*j**2 + 0*j**2. Give g(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 1, p: 7}. Give prob of sequence pv.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*j + 138 = -103*j - 212 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35511429 a multiple of 1984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 7*d**4\/12 + d**3\/2 + 5*d**2. Calculate the remainder when o(3) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 3*o - o)*(15*o**2 - 8*o**2 + 1 - 6*o**2 - 4*o) to t*o + j*o**2 + k + d*o**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 6*d - 25. Let b be j(-4). Let z(t) = 45533*t + t**3 - 2*t**3 + 21 - 17*t**2 - 45532*t + 2. Calculate z(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2355 times -3\nAnswer: 0.7065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 151226.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*x**2 - 15*x + 10*x**2 - 21*x**2 - 3*x to the form b*x + m*x**2 + a and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.4488.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + t + 47. Let z(w) = -2*w**2 - w - 48. Let m(k) = -5*s(k) - 6*z(k). Is m(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a1 (base 11) to base 15\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 675 and 600.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/5 - 636984*f**3\/5 + 2547914*f**2\/5 - 3184884*f\/5 + 1273952\/5 = 0. Calculate f.\nAnswer: 1, 2, 318488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*a = 88, 5*c = 2*a - 21 - 54. Let d = 2 - c. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19716.681 - 19703. Let u = n + -13.6. What is u rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3*9\/2. Let j = 6 - b. Suppose -o = -2, -j*g + 2*o = -46 + 14. 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: Let y = 6 - -13. Let x = 524.55 - 543. Let c = y + x. What is c rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3962?\nAnswer: 2, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(19\/(190\/35))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.1, 0.06, 986, 3\/4 in descending order.\nAnswer: 986, 3\/4, 2\/9, 0.06, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10903, 42107, 94105, 166891, 260459, 374803?\n\"Answer: -j**3 + 10403*j**2 + 2*j + 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*((1 - 0) + -2). Let m be j\/(0 - (-6)\/(-16)). Let t = m - -11. Sort 1, 5, t in descending order.\nAnswer: 5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*q - q. Let w be 12\/(-4) + (-1 - q). Put -1, w, -2 in descending order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 3. Let k(g) = 18*g + 8. Let i be k(6). Suppose -5*z - 3*n + i = 0, 2*z - 2*n - 59 = -19. Calculate the remainder when z is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/w**16)\/(w*((w\/w**0)\/w)\/w)**(-50) assuming w is positive.\nAnswer: w**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25279\/21956 + 1\/5988. Calculate the common denominator of -10\/9 and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*q + 25653, 7*g + 20*q = 18*q + 44958. Is 214 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1327 - -1198.4. Let p = l + 117. Let t = p + 14.6. Put 0.4, t, 1\/3 in descending order.\nAnswer: t, 0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -7*v**5\/150 + 369*v**4\/4 + 1582*v**3\/15 - 59*v**2 - v - 1. Factor p(k).\nAnswer: -2*(k - 791)*(7*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdbel. What is prob of picking 1 e and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 50248 = 7*c. Suppose 4*g = 4*p + 6736, 509 = -3*p - 2*g - c. Round p to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4276 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 13*f**2. Let j(c) = c**2 + 20131*c. Give j(i(o)).\nAnswer: 169*o**4 + 261703*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 6*m = 4*m + 8, 4*m = -3*p + 1. Let s(u) = 7*u - 1. Let c be s(1). Solve 21 - c = -p*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.86*-14.\nAnswer: 12.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3910*g**2 + 1955*g**2 + 0 + 1969*g**2 + 0.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 213, -70 in descending order.\nAnswer: 213, 3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/21 + 1096*g**2\/21 + 3302*g\/21 + 2204\/21 = 0?\nAnswer: -2, -1, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 37.\nAnswer: 5\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34\/5*i + 1\/5*i**2 + 33\/5 = 0.\nAnswer: 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 150?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j. Let v(r) = 221*r - 17. Let w(l) = 2*k(l) - v(l). Is w(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k**2 - 5*k - 1. Let r(g) = g + 1. Let p(u) = -r(u) - v(u). What is the second derivative of p(d) wrt d?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17166, 34368, 51612, 68898, 86226, 103596, 121008?\n\"Answer: 21*v**2 + 17139*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 253532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -4. Let p = 10 + n. Suppose l - p = -m, l - 12 = -5*m + 2*l. Calculate the remainder when m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163008 divided by -1055.\nAnswer: 163008\/1055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5.95. Let i = n - -0.95. Let p = i - 2. Which is the closest to p? (a) 0.1 (b) -3\/5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**23\/g**(-11\/5) assuming g is positive.\nAnswer: g**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 1562.\nAnswer: 10934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 4*p + 8. Suppose 2*b - 7*b = r - 33, 0 = -5*r - 3*b + 55. What is the common denominator of q(r) and (-2)\/(-5) + (-6)\/20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 1:56 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/(1\/(-94)). Let k(j) = 5*j - 3. Let m be k(-5). Let z = m - b. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {t: 2, l: 3, s: 1, a: 9, j: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 15, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v. Let p(u) = 1203*u**2. Determine i(p(h)).\nAnswer: 4812*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeezzzzzezeee. What is prob of sequence zzz?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223461247?\nAnswer: 9151, 133697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 105429 divided by -8?\nAnswer: -105429\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -29*a + 265. Let c be o(0). Let i = 522 + c. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -13. Differentiate b**2 + g - 3*b**2 + 0 wrt b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4438 + -2877. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(2))\/(sqrt(300)*-1) - (sqrt(168)\/(sqrt(7) - sqrt(112)))\/(sqrt(8) - (sqrt(8) + -1*sqrt(32))).\nAnswer: -sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3 + 9294*o**2 - o - 247197 with respect to o.\nAnswer: -3*o**2 + 18588*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -25. Let j = 4 + -2. Solve 4*o - 2 = -j*x, 7 = -5*x - r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/2, 0, -0.1, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9127380 - 9127379 + 18254759 + 1417*b.\nAnswer: 1417*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5859544 to 2 dps.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29058 and 39.22?\nAnswer: 1139654.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*(sqrt(162) + -2) - (sqrt(162)*-1*2 + sqrt(162) + -3))**2*-6 + -3.\nAnswer: -4275 + 1728*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 6*g + 3. Let d be w(-6). Factor -12*q**3 - 23*q**4 + 4*q**d + 8*q - 13*q**4 + 36*q**2.\nAnswer: -4*q*(q - 1)*(q + 1)*(9*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22606?\nAnswer: 2, 89, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -110642*m**3 + 6*m**2 - 13*m + 3. Let i be h(7). Round i to the nearest one million.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174187 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -870177 (base 10) to base 4\nAnswer: -3110130201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 + 734399988\/(-48). What is c rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -405, -1058, -1961, -3114, -4517?\nAnswer: -6170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -308264\/41 - -7519. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 42*g**2 - 138*g - 123. What is the hundreds digit of o(37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 9143960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 71, 0.2, 0, 672 in decreasing order.\nAnswer: 672, 71, 0.2, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 318*p**4 + 320*p**4 - 2*p**2 - p - 2 as w*p**4 + f*p**3 + x*p**2 + v*p + q and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-126)\/(-26) - 10\/(-65). Let u be 40\/(-16)*18\/t. Is u\/27 - 574\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-6))\/((-21)\/(-1036)). Let o = f + 111. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3705*m**2 + 34*m - 5*m - 29*m - 21602*m**2 to the form z*m**2 + q + v*m and give z.\nAnswer: -25307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**(-14\/9)\/(u*(u\/(u**6\/u)*u*u)\/u*u*u*u*(u\/u**(-4))\/u))\/((u**1*u)**(-47)\/(u*u**(1\/3)\/u*u\/u**(-6))) assuming u is positive.\nAnswer: u**(2615\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i + 5*i + 11*i. Let n be f(2). Let x be (-2 + 0 + 5)*1. Calculate the greatest common divisor of x and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 12) to base 15.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/5)\/(124\/(-310))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i + 10. Let l be p(1). Suppose s - 33 = -n, -s + 2*n - 7 = -l. What is the remainder when 137 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3404 divided by 217846\nAnswer: 1702\/108923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 476982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/8*-2678*(0 + 44) - 6?\nAnswer: 2, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -12, -1, 2\/3, -0.01?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72199618?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2627842.\nAnswer: 2, 7, 23, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/8 (b) -4\/9 (c) -5 (d) -164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14988132 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 12, -3 in decreasing order.\nAnswer: 12, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s + 8*s**2 + 17*s - 2*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.128 rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009016 to four dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 168228 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 6*l**2 + 10*l + 8. Let c be x(-7). Let g(b) = b**2 + 10*b - 14. What is the tens digit of g(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.265 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2*-2*62 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 1.8 (c) -0.2 (d) -6 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-15))\/((-8)\/(-24)). What is the second smallest value in x, 7, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*i**2 - 5 - 3*i + 59*i + 3 + 73*i**2.\nAnswer: -106*i**2 + 56*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/18*(-33)\/(-55)*-40?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4488 + 4488.1. Which is the closest to 2? (a) h (b) -5\/6 (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (3 - ((1 - 1) + -1 + 7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d + 198 = -0*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.2, -1\/2, -79?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 56209, 112407, 168605, 224803, 281001?\n\"Answer: 56198*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/5, -1\/4, -0.1, 2959\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -95, -93, -91?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {j: 1, n: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 9*u + 10. Let d be (-4)\/(-24)*20*3. Let v be g(d). Suppose v = 2*c - 23 - 25. Calculate the remainder when c is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -950753508*-0.1\nAnswer: 95075350.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k + 49. Suppose 10*r = -18*r + 67 - 459. Give p(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 9*n**2 + 12*n + 1. Let x(y) = -3*y**2 - y. Calculate f(s) + 6*x(s).\nAnswer: -9*s**2 + 6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/17 (b) 0 (c) 2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(21)\/sqrt(3) + -1 + 5 + sqrt(14)\/sqrt(2) + -3 + sqrt(21)\/(sqrt(3)*-1))**2.\nAnswer: 4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -85 (b) -1 (c) 4 (d) 147 (e) 0.107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, r: 6, l: 1, p: 2, q: 3}. What is prob of sequence iip?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-70)\/(-16))*(-109 - -104)*4\/4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.62, -4, -1 in descending order.\nAnswer: -1, -4, -5.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 201b5 (base 13) in base 15?\nAnswer: 12044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0 - 3*r**2 + 0*r**3 + 0*r - 7\/24*r**4. Let u(q) be the first derivative of q**3\/3 - 3. Give b(u(v)).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let x(b) be the third derivative of -1 + 11\/24*b**4 + 0*b + 0*b**3 - 66*b**2 + 1\/60*b**5. What is x(q(k))?\nAnswer: k**2 - 11*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.6386 + 0.4?\nAnswer: 33.0386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -5619\nAnswer: -1\/5619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + 5*-2*sqrt(192) - (sqrt(192) - (3 + (sqrt(192) - (sqrt(192) + -1)) - sqrt(192)))*-4)**2.\nAnswer: -3072 - 1536*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 - 745*l**2 - 553532*l + 2226064.\nAnswer: -(l - 4)*(l + 1492)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206509 and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/94564 and 25\/400388.\nAnswer: 18818236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 12.5171\nAnswer: 25.0342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 divided by 1.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 3:25 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.37 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3292, -3293, -3294, -3295?\n\"Answer: -t - 3291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39091 (base 12) to base 13.\nAnswer: 2959c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06209 + 0.2506?\nAnswer: 0.31269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*j - 481*j**2 + 82*j.\nAnswer: -481*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 o when four letters picked without replacement from {f: 1, o: 3, h: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -z, -4 = -3*z + 3*m - 2*m. Let x be 16*3\/((-6)\/(-10)). Suppose 15*l + 5*l - x = 0. Solve -l*c - 3*d = z*d - 2, 4*c + 16 = 4*d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84149 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*(c*c*c\/c**(-1\/11)*c)\/c*c*c))\/c*c**(1\/2))**(1\/15))**(11\/3))**34 assuming c is positive.\nAnswer: c**(-697\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 28 = -14*t. Suppose 0 = -11*u + t*u - 30904. Let l = u + 123687\/16. What is the common denominator of 87\/20 and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u**2 + 787*u - 4741.\nAnswer: 2*u + 787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.62 - 0.28. Let p = -0.9 - y. What is the closest to -1\/7 in p, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 649 and 359546.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 1548*o**5\/5 + 2538*o + 1791. Differentiate a(p) wrt p.\nAnswer: 6192*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4 + 3*u**4 - u**2 - u**4 + 2*u - 2*u**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10338201*t**3 - 11*t**2 + 3*t + 48634.\nAnswer: -62029206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyyfyfjyyfjfjjjj. Give prob of picking 1 y and 1 j.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 - (-9)\/2. Suppose 0 = -57*h + 55*h + 22. Let y be (-5)\/(-1) - 0\/1. Solve -4*i = -h - y, 0 = -3*r + m*i - 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 0*a**3 - a**3 + (-1 - 5 + 5)*(-a + a - 2*a**3) + 11*a**3 + 33*a**3 - 20*a**3 to m*a + k*a**3 + i*a**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -161*q**6\/120 + 1333*q**5\/60 - 318*q**2 - 2*q. What is the third derivative of x(c) wrt c?\nAnswer: -966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345989\/2 smaller than 672995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*m - 838937 - 939192 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 d, and 2 w when four letters picked without replacement from {d: 7, k: 1, l: 1, w: 9}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2. Let n(s) = 83*s**2. Calculate w(n(v)).\nAnswer: -20667*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 18414500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 - 127. Solve 0*r = -2*r + 2*q + 2, p*r + q - 24 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36\/(-21) - 12416\/(-56) and 495.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(5)*5)**2 + (sqrt(405) + 0)**2)*1*-2.\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -624846 divided by -208282?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 129\/5 (b) 15 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6, 2\/5, -0.14, 0, -111\/4, 4?\nAnswer: -111\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 165167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22*(34 - (-595)\/(-17))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*y = -1 + 32, -h - 3 = -4*y. Is h less than -77\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -74. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 2*u + 4*u - 2. Let o = -663 - -658. Let l(a) = -a. What is o*l(f) - c(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iswssers. What is prob of sequence si?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**2*o**3 - 3*f**2*o**2 - 17*f**2 + 2*f*o**4 - 72*o**4 wrt o?\nAnswer: 6*f**2 + 48*f*o - 1728*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 + -85. Calculate the least common multiple of 4*1\/((-1)\/(-4)) and l.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -2012674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 6, a: 3, f: 1, n: 1}. Give prob of sequence nb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 224 - 62. List 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 ((-35568)\/702)\/(8\/(-24)*-2)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 37 = 5*v - 32, -5*y + 4 = -4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -7) + (-6 - 0 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26836 from -35.\nAnswer: -26871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 345 = 2*h + 3*q, -h - 72 = 4*q. Let y = h + 418\/5. Let l = 0 - 1. Which is the second biggest value? (a) l (b) -6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbxtg. Give prob of picking 1 t, 1 g, and 2 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -186940000 rounded to the nearest one million?\nAnswer: -187000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.24 - -0.26. Let z = m + 2.78. Let s be (-3 + 11\/5)*-1. Which is the third biggest value? (a) 1 (b) -2 (c) s (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 9*a - 7. Let o(x) = -18*x + 16. Let z(m) = 7*k(m) + 3*o(m). Suppose 0 = -3*d - 3*i - 12, -12 = -3*d + 5*i. Give z(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(6\/19)*(n*n**3)**(11\/2) assuming n is positive.\nAnswer: n**(406\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + (-14 - (-38 + 1) - (-4 - -10)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 4*f + 4, -2 = -2*l + 3*f + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 (base 6) in base 9?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 104. Let k be p(16). Let l = 85 + k. What is the remainder when 128 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4439313 or 4439333?\nAnswer: 4439333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 18 = y - 4*s, -29 = 4*y - 5*s. Suppose -5*p = -4*x - 49, p + 2*p + 9 = -4*x. Let i be (42\/20 - 2)*x. Is i at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1301824, -2603669, -3905534, -5207425, -6509348, -7811309, -9113314?\n\"Answer: -x**3 - 4*x**2 - 1301826*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5*p = -37, -374*f + 375*f = 2*p - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9080, 7927, 6774, 5621, 4468?\n\"Answer: -1153*o + 10233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 8 + 3 + 5 + -14?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*y - 259*y + 126*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.2. Suppose 2*o - 4 - 8 = 2*r, -20 = -5*o - 5*r. Suppose 5*i - 4*k = 23, o*k + 8 = 5*i - 17. What is the second smallest value in i, 2\/7, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17\/((-170)\/150 + 4\/30). Let o(d) = 26*d**3 - 23*d**2 - 23*d - 17. Let k(p) = 9*p**3 - 8*p**2 - 8*p - 6. Calculate a*k(u) + 6*o(u).\nAnswer: 3*u**3 - 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 = -911*j + 921*j. What is the greatest common divisor of j and 1056?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 846*w - 3196. Is s(42) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/21420 and 65\/15 + -1 - (-153)\/102?\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 - s. Let i be y(1). Suppose 3*g - 9 = -2*v, i*v = 4*g - 9 - 3. Are v and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -851181.\nAnswer: -4\/851181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 128485270 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, v: 6}. Give prob of picking 2 k and 2 v.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -19\/196, -0.5 in descending order.\nAnswer: -19\/196, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -319*q**4 + 756*q**4 - 5654*q**4 + (-2*q**2 - 3*q**2 + 3*q**2)*(3*q + 2*q**2 - 3*q) - 2*q + 2*q - 2*q**4 - q**4 + 0*q**4 + 2*q**4.\nAnswer: -5222*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 16 + 2 = 0. What are the prime factors of s\/7 + 64162\/98?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9670, 114272, 398182, 951052, 1862534, 3222280, 5119942, 7645172?\nAnswer: 10887622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 a factor of 31027650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 100882 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(132)*-2*-5)\/((-1*(sqrt(144) + sqrt(144)*-3))\/sqrt(12)).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2883196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 44. Let t(z) = 15. Let k(v) = 11*t(v) + 4*u(v). Let l be k(-5). Suppose 60 = 3*b - l. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0*r**3 + 0*r + 0 + 0*r**4 - 2*r**2 + 7\/60*r**5. Let z(l) = -l**2. Give q(z(d)).\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -93 + 97. Solve 0 = s*d - 8, 6*u - d + 8 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 2*h + 149. Let b(x) be the second derivative of -2*x**2 + 0*x**5 + 1\/15*x**6 + 0*x**4 + 0*x**h + 0 - x. What is the derivative of b(f) wrt f?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 217 - -7460?\nAnswer: 7677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 29. Let p be (15\/m - 4) + 3\/6. Solve p*k - 2*k = 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 980.9273 nanoseconds to microseconds.\nAnswer: 0.9809273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (-1*sqrt(156) + sqrt(156))*2 - (sqrt(156)*2*5 + sqrt(156)))\/((-2*sqrt(96))\/sqrt(8) - sqrt(768)*1).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 19*m**2 + 22*m + 41. Let h be t(-20). Sort h, 4, 0.2, -3 in decreasing order.\nAnswer: 4, h, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*f - f. Let l = 15 - -26. Find the common denominator of l\/(-24) - (-6)\/f and 31\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*z - 3 - 4*z - 10*z - 953*z**4 + 31*z + 0 wrt z?\nAnswer: -11436*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 212719161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of ((377\/26)\/(-29))\/((-1)\/658)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 - 2 + 94 + 60*j**2.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2, -209, 119, -30, -5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(-69)*(-60)\/(-80))\/((2\/(-1))\/(-596))\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2 - 8*a - 4. Let o(n) = -11*n**2 - 23*n - 11. Let q(t) = 3*o(t) - 8*z(t). Suppose 5*l + 95 = -35. Let k = 22 + l. Calculate q(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24073934.\nAnswer: 2, 433, 27799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-58035)\/(-19800) - 2\/4*6 and -61\/605.\nAnswer: 14520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2294446?\nAnswer: 2, 7, 11, 47, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 + 2*h**2 - 5*h + 4. Suppose 0 = -3*m - 4*n - 31, -4*m + 2 = -2*m - 3*n. Let g(p) = 6*p - 7 + 2 + p**3 - 2*p**2 - 3*p**3. Give m*y(b) - 4*g(b).\nAnswer: -2*b**3 - 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1656 and 135.\nAnswer: 24840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1335302 + 378.84.\nAnswer: 1335680.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 2, j: 4, i: 8}. Give prob of sequence irj.\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-2\/29)*m))\/(m**(-3\/10)*m) assuming m is positive.\nAnswer: m**(107\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a decade in months?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 + 160. Suppose -2*z = 2*i - 170, 5*z - 532 = 4*i - r. Is 89 equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6534)\/42)\/(-11) - (0 + (1 - -11)).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5 = 5*o, 0 = -0*q - 4*q - 5*o - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 - (-342)\/(-17 - -35). Suppose 0 = -5*v + 2*d - 0 + 1, 4*v = -3*d + 10. Let b be (2\/5)\/(v\/5). Solve w = 3*i, 0*i - 20 = -4*h - b*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*o = 161*o - 10*u - 5, -u + 3 = -o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2473094 is divided by 1160.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2784487*o. Let x(n) = n**2. Calculate s(x(l)).\nAnswer: 2784487*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwllwawwwlttlldwl. Give prob of sequence wt.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 + 952\/9. Let y = -4519 + 4518.9. What is the closest to -1 in 13, y, o, 1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 29*p + 16. Let o be d(-1). Let m(t) = -43*t - 20. What are the prime factors of m(o)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 3*c**5 - 5*c**5 + (-2*c + c - c)*(c**4 - 6*c**4 + 4*c**4) - 10*c**5 + 2391024 + 20*c**3 - 2391024.\nAnswer: -9*c**5 + 20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/15 in -2\/11, -32, -1\/4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a + 769 - 109. Let q be 3266\/5 - 88\/a. Suppose -27*r - q = -30*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0093 + 6.8993. Let z = -4.76 + x. What is the third smallest value in 0.1, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9009)\/3432*48\/(-9)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 6:02 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = 4*p - 5*p, -3*r + 4*p + 1 = 0. Suppose -b - 104103 = r*o, 2*b = 5*o + b + 173497. What is o rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.35 + 23.35. Let j = k + -21.9. Round j to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/4)\/(5\/70). Suppose -o*s = -40*s - 10. What is the common denominator of (-5)\/s*(-76)\/8 and -107\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -4. Let l be q*(-4 - (2 - 11)). Solve -2*z - 4 = 2*z, -l*t - 3*z = 28 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 20*w - 3. Let f be i(15). Suppose 2*j + f = -4*z - z, 4*j = -4*z - 300. Let l = j - -85. Calculate the greatest common divisor of 6 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 - 367*p - 14944. Give r(-61).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 1)\/4*-1. Find the common denominator of 52\/5 and ((-172)\/8)\/((-2)\/y).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 0. Suppose -4*s - 3*i + 2813883 = 0, 0 = -o*i + 6 + 4. Let t = -13496533 - s. What is t rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 9:09 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a week?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 743*r + 9 = 734*r. Suppose -6*h + 3*h - f = 7, -5*f = 4*h + 13. Let d = -3 - h. Which is the nearest to r? (a) 0 (b) d (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -10. Let d = -3.4 - -0.2. Let c = d + 6.2. What is the closest to r in 6\/11, 4\/9, c?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -2\/5, 3, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*d**2 - 651*d**2 - 440*d**2)*(-2*d + 2 - 2)*(2*d - 2*d + 4*d**2).\nAnswer: 8552*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kcmmwnq. What is prob of picking 1 c, 1 w, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 740 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 54*o - 336. Give n(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0395666 minus 4?\nAnswer: -3.9604334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 492660298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 33.\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(1 + -6) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -24*p + 53 + p**3 - 21\/2*p**2. Factor r(l).\nAnswer: 3*(l - 8)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 45. Suppose -h - h = 5*c - 66, 2*c + h - y = 0. Calculate the least common multiple of c and (36\/5 + -2)*5.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -9*d - 50. Let o be s(-6). Solve -3*r = 3*t - 24, -t + 6 = o*r - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**4\/12 + 7*c**3\/6 - 5*c**2\/2 - 2*c. Let k = 5 - 0. Calculate the remainder when r(k) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709958 is divided by 177485?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (156\/21)\/2 + 2\/7. Suppose 6 = -2*k + g*k. List the prime factors of k + (872\/4 - -1).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8066 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567168.2 nanograms to kilograms.\nAnswer: 0.0000005671682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -70*w**4\/3 + 27215*w**3\/3 - 74945*w**2\/3 - 125390*w\/3 - 7720 = 0.\nAnswer: -1, -3\/14, 4, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10911037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 9*j - 9. Let u(i) = 44*i - 44. Let g(s) = -16*o(s) + 3*u(s). What is the tens digit of g(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -11*s**2 + 4*s + 4. Let j(y) = -y**2 + y + 1. Let u = -153 + 154. Give u*d(b) - 4*j(b).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l**2 + 2*l + 4. Let z be o(-3). Let a = 3 + -1. Let t be (4 - a)\/((-2)\/(-28)). Calculate the greatest common factor of t and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 537270 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187)*-1 - sqrt(187)))\/sqrt(11))**2*3.\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*y + 1)*(841 - 298 - 16*y**2 - 3*y - 403) in the form h*y**2 + o + k*y + s*y**3 and give k.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3135, 3137, 3139?\nAnswer: 3141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238\/14 + (-11 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*y)*(-y**2 + y**2 - y**2) + y**3 - 5*y**3 + 2*y**3 + (-4*y + 0*y + 5*y)*(-3*y**2 - y**2 + y**2).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-25 - (-17 - 19))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 33*d - 12*d + 122*d**2 - 9*d - 5*d - 8*d.\nAnswer: 122*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60117897?\nAnswer: 3, 7, 31, 92347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*(q\/q**6*q)\/q*q*q*q**(-1\/13)*q\/(q**5\/q)*q**(1\/11) assuming q is positive.\nAnswer: q**(-570\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 2*s - 6. Let p = 168 + -154. Suppose 3*q - p = -h - 0*q, 0 = -2*h - q + 3. Let u(k) = k**2 + 1. Give h*j(d) - 3*u(d).\nAnswer: -2*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (207 - 161) + 15 + 3?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**4\/12 - 13*i. Let p(x) = 641 - 1285 - 14*x**2 + 644 - x + 10*x**2. Calculate p(h(t)).\nAnswer: -4*t**4 - t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 674 - 694. Let o = -29 + 51. Let v = o + i. Solve -4*p - 2*b - 12 = 0, 0 = -v*p - 3*p + 4*b + 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 5.\nAnswer: -6, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.4 + -2.4. Which is the fourth smallest value? (a) -5 (b) t (c) -3 (d) 1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110010 + 1212222200?\nAnswer: 1220102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - ((-27355)\/783 + 46\/621)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42598614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 148 - 103. Let i = 55 - r. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*p = -2*b + 30, 0 = 5*p + 2*b + 54. Calculate the remainder when 22 is divided by (3 - (-33)\/12) + p\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6513613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-5) - (6 - 5). Let i be (3\/(-15))\/((-7)\/35) - 2. Let x be (i\/(-12))\/(150\/(-400)). What is the nearest to 0 in m, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + h + 9, 5*h + 2 = q - 15. Let b(k) = k**3 + 7*k**2 + 3*k - 19. Let x be 2 + 9\/((-36)\/28). Let r be b(x). Solve 2*m = -q*m - r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -25 + 14 + -20 - 10.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(21\/8))\/((-2)\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2695 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/70 and -5\/58?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 166, 199, 246, 301, 358?\n\"Answer: -m**3 + 13*m**2 + m + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 5 + 4)**2 - (2 + -5 + (sqrt(68)\/sqrt(4) + sqrt(17))**2).\nAnswer: 169 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 944618 to the power of 1\/2, to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**(3\/4))))\/(f*f**(-9)))\/(f**3*f**8) assuming f is positive.\nAnswer: f**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = t + 3*i, -206*t + 4*i + 10 = -204*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -130 - -2?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 30222, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3*((-81)\/9)\/(-351)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 9*j**3 + 17*j - 21*j + j + (3*j - 2*j**2 - 3*j)*(-2*j + 3*j + j).\nAnswer: 5*j**3 - j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -357 + 3?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u**2 - u + 14. Let m(i) = -5*i**2 - 7. Let v(j) = -9*m(j) - 4*p(j). Let o be v(-4). Is 1\/(-4)*(3 - o) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*d + 3. Suppose -5*b + 24 = 2*v, -5*v + v - 36 = -4*b. Calculate the greatest common factor of d and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.2 - 0.2. Let z = -37 + 22. Let n = z - -10. What is the third smallest value in s, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**6\/39 - 16*s**5\/13 + 300*s**4\/13 - 8140*s**3\/39 + 11495*s**2\/13 - 15972*s\/13 - 2474. Find q, given that u(q) = 0.\nAnswer: 1, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48.9 + 49.3. What is the third biggest value in -48, 3\/8, w?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 306a - 1121?\nAnswer: 1a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 413504825 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -12\/37893275?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24 + 2 - 2\/2. Let s = -23 + w. Suppose 0*t - s*t + 4 = 0. Solve -3*f + 0*r = 3*r + 6, 0 = -5*f + 3*r - t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = -i, 0*i + 12 = 5*i + s. Suppose l + i*p - 15 = 0, 0 = -l - 2*l - 4*p + 50. What is the common denominator of 79\/6 and 64\/l - (-1 - 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 74597, 74590, 74579, 74564, 74545?\n\"Answer: -2*v**2 - v + 74600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/((-28)\/6)*7. Let k = h - -79\/6. Determine m so that -4\/3*m**2 + 2\/3 - 16\/3*m**3 + 2\/3*m**4 + 8\/3*m + k*m**5 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y**3 - 1)*(-406*y + 5151*y + 3663*y + 651*y).\nAnswer: 9059*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or 459098?\nAnswer: 459098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 467*t + 4. Let x(n) = 7*n - 1. Calculate -2*c(p) - 10*x(p).\nAnswer: -1004*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 9 + 16. Suppose w*p + 9*t = 4*t + 180, 180 = 5*p + t. Calculate the highest common factor of 54 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5207\/35 - -1040\/7. Which is the fourth smallest value? (a) z (b) -4 (c) 0.3 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 12*n - 4. Let p be l(-5). Let v be (-22)\/44*-1*p. Solve 0 = -8*c + v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 350328 and 26770898?\nAnswer: 321250776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.752 + 567.652. What is t rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.88 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*l + 8 = 0, 4*l - 8 = 4*c - 3*c. Suppose c*o + o + 7 = 0. Let y(d) = -2*d - 9. Let m be y(o). Solve 0*k - 15 = m*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9175*y**3 + 8*y - 7316. Let i(b) = 18347*b**3 + 17*b - 14632. Let s(t) = -8*i(t) + 17*x(t). Find the first derivative of s(g) wrt g.\nAnswer: 27597*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**4\/3 - 1784*d**3\/9 + 114272836*d**2\/9 - 130170454672*d\/9 - 86831091568\/9 = 0.\nAnswer: -3614, -2\/3, 1733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -68*x + 10. Calculate w(-2).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*q**3 - 1 + 2*q + 68*q**3 - 32*q**3)*(-18 + 8 - 14 - 22).\nAnswer: -92*q**3 - 92*q + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5*x = -106, -30*l + 27*l + 8*x - 175 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 + -108.5. What is the closest to 1 in -3, 3, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by -7*(-442)\/(-119) - -193.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 9 = -3. Let o be (t - -1) + 77\/28. Is o less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 13. Let c be r(10). Suppose c*f - 18 = -a, a + 2*f + 0*f - 13 = 0. Suppose d + a*d = 0. Which is greater: d or -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjjjfqyjfyjfffjjfjj. Give prob of picking 1 q, 1 f, and 1 y.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1588543 * 177.\nAnswer: 281172111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-40)*(-8)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j - j - 3*j)*(-9 + 9 + 9*j) in the form h + q*j + v*j**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-12)*32\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**3\/5 - 144514*c**2\/5 - 462752*c - 9257088\/5.\nAnswer: 2*(c + 8)**2*(4*c - 72321)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o)**(6\/11)*o**0*o**(-1\/4) assuming o is positive.\nAnswer: o**(13\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6161.\nAnswer: 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2863*y + 2863*y + 11176*y**2 - 11351*y**2.\nAnswer: -175*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 + 13*y**3 - 9*y**3 - 201 - 2*y**2 + 83 + 2*y**2.\nAnswer: 4*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 3*d**2 + 6*d + 2*d**2.\nAnswer: -d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 2)*-1 + -2. Let u(z) = -3*z**2 - 2*z - 1. Let y(m) = 2*m - 14261*m**2 + 2 + 14280*m**2 + 6*m. Let w(a) = 6*u(a) + y(a). Calculate w(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 12:46 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p + 32. Suppose -1 = k - 2*l + 3, 5*l = -5. Let b be t(k). Suppose 168 + 164 = b*w. Is 35 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4*d + 116 = 0, 56 = 4756*u - 4754*u - 4*d for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1634 at most -1632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/11)\/g)\/(g*g**(1\/2)*g))\/((g\/(g*g*(g*g**(-1\/12))\/g*g))\/(g**14\/g)) assuming g is positive.\nAnswer: g**(1531\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 280 or -0.1?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-18) + 3\/((-135)\/(-1540)). Find the third derivative of -22*u**2 + m*u**2 + 78*u**2 + 2*u**3 + 13*u**4 - 4*u**2 wrt u.\nAnswer: 312*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 2:56 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - -108. Let t = r - 77. Suppose 2*a - t = -3*w, -5*a + 45 + 108 = 4*w. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362337 is divided by 1924?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*c - 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((5 + -363)\/((-6)\/3))\/(-1). Let p = a + 262. Let m = -77 + p. What is the highest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d + 144 = 7*d - 174 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 510001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2312 - 3224?\nAnswer: -5536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -0.3.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 - 10*b**2 - 2*b + 5. Let u be h(-4). Let m = -1 - -3. Suppose 15 = g - m*n + u, 2*n = 4. What is g rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + 57\/38?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - b + 12. Let m be g(5). Let c = -22 + m. Suppose -3*i = 5*p - 59, -3*p + 4*p + 5 = 5*i. Are p and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-5\/3)*m**4*m**(-1\/4)*m\/(m**6*m)*(m**(-2\/7))**(2\/77)\/(m**(2\/3))**4 assuming m is positive.\nAnswer: m**(-4867\/2156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*1)\/(7\/(3 + 11)). Which is the closest to -4? (a) q (b) -3\/2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2939 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -32*c**2 + 1. Let v(o) be the first derivative of -2*o**3\/3 + 40. Give v(y(p)).\nAnswer: -2048*p**4 + 128*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-940 + 10992 - 818)*(-u**3 - 2*u**3 - 2*u**3).\nAnswer: -46170*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from {c: 12, t: 3, h: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g + 58. Let n be o(4). What is the greatest common divisor of 10 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194682409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5048 in -11, -3, -0.3, 1, 0.77?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 + 1 = 0. Let z = -11 + 27. Suppose z = 3*l - 8. Solve l + 4 = 2*j - x*k, 3*k = -12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11419, 45027, 100853, 178897, 279159, 401639?\nAnswer: 546337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**(-28\/5)\/(y\/(y**(-1\/3)\/y)*(y\/y**(-3))\/y) assuming y is positive.\nAnswer: y**(-568\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14579 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - c + 2. Let t be j(0). Let d(i) = i + 1. Let v be d(1). Let a(y) = -t*y**2 + 7*y**3 - 1 - 2 + 2*y + v. Calculate a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24153 and -581786?\nAnswer: 605939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 13*k**3 - 105*k**2 - 25*k - 6. Let m(r) = -20*r**3 + 158*r**2 + 40*r + 10. Give -8*i(n) - 5*m(n).\nAnswer: -4*n**3 + 50*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/13)\/(195\/81*195\/(-130))?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/5))\/((r*r**(3\/10))\/r) assuming r is positive.\nAnswer: r**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (160\/360)\/((-2)\/(-9)). Find the third derivative of 92*l**2 + 108*l**s - 149*l**2 + 3*l**3 - 36*l**4 wrt l.\nAnswer: -864*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 14*o + 12. List the prime factors of j(4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1923 (b) -2 (c) 2\/5 (d) -0.13 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20504826 divided by 5022?\nAnswer: 4083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 345*j**4 - 361 wrt j?\nAnswer: 1380*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 44 = 5*p, -4*m = -0*p - 2*p - 72. Suppose -4*h = -y - m + 4, h - 16 = -4*y. What is the lowest common multiple of h and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 43\/(-3 + 4) - 3. Let b = 28 - h. Find the common denominator of ((-2)\/b)\/((-6)\/(-297)) and 71\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49589395 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -447\/67 + 1\/201. Let m = o + 59\/9. Put -2, 5, m in descending order.\nAnswer: 5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -3*s - 31948. Determine o so that -23*o + 15 + 4562*o**4 + 11*o**3 - s*o**4 - 21*o**2 + 4*o**3 = 0.\nAnswer: -1, 1\/2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 2*a, 2*l = -5*a. Suppose 3*d - 57 = -a*d. What is the highest common factor of 38 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/13, -430, 0.3 in descending order.\nAnswer: 0.3, -2\/13, -4, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670 is divided by ((-2)\/21 - 27029\/(-7518))*(-92)\/(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45830 - 78738 = -92*p. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 10375835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 44741.\nAnswer: 22370.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*d**5 + 12863485*d**4 - 52229111*d**3 + 39057154*d**2 + 27375676*d + 1029160 = 0. Calculate d.\nAnswer: -51458, -2\/5, -1\/25, 2, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**6 - 350*g**4 + 21*g**2?\nAnswer: -360*g**3 - 8400*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**16*o**(-4))\/(o*o**(10\/7)*o)**(5\/4))**(-4\/17) assuming o is positive.\nAnswer: o**(-216\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80887241 a multiple of 775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 1227?\nAnswer: 2\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53803226 is divided by 2414?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + -0.021. Let o = 10.9502 + -11. Let a = v + o. Round a to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 41 = x - 22, 3*w - x = -39. Let d be 3*(-56)\/w + -3. Differentiate -d + 2 + j**4 + j**4 with respect to j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 13 = 1. Let y = -12 - l. Factor 3*o**y + 15\/4*o + 3\/4.\nAnswer: 3*(o + 1)*(4*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060889227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*k, -r + 4 = 5*k - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2112 and 12.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, t: 6, i: 2, j: 3, p: 5, a: 1}. Give prob of picking 1 p, 1 i, and 1 z.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2620 - -2649. What is the least common multiple of c and 11?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 3, -178, -26, -4, -3 in decreasing order.\nAnswer: 4, 3, 0, -3, -4, -26, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (4*(-1 - 0) - -7). Solve c - 4 = n*l - 3, -c = -3*l - 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 199294719, 199294718, 199294717, 199294716?\n\"Answer: -i + 199294720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 6*g - 12. Suppose -g = 6*s - 42. Suppose -2*i + 3*u = -74, u - 95 = -3*i + s. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33327 + -19650. Calculate the highest common divisor of b and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7)\/(m*((m*m*m*m**22)\/m)\/m*m) assuming m is positive.\nAnswer: m**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104238?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131110 (base 4) to base 12.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 + -12726)\/((-3)\/(-6)*(-2 + 0))?\nAnswer: 12721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21411 and 81679.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 = 0, -2*j + 0*j + 2*r = -12. Suppose -c = 2*t - j, 5*c - 64 = -0*c + 4*t. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.932 + -17. Let g = a - 9.932. Let y = -9.9999988 - g. What is y rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1950 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*l, 0 = 5*z + 128*l - 132*l + 11. Factor 13\/2*b - 24*b**3 - z - 4*b**2.\nAnswer: -(3*b + 2)*(4*b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - (sqrt(1216) - (0 + sqrt(1216)))**2) + -3.\nAnswer: -3 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**2 + 56*s**4 + 39402 + 2*s**3 - 2*s + 3*s**2 + 0*s**2 - 39392 to the form n*s**2 + r*s**3 + i + l*s**4 + m*s and give l.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 5, 32, 9, 2 in decreasing order.\nAnswer: 32, 9, 5, 4, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 533331327 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5358264 and 195432.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/19, -0.3, -263.8, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - b = -10, 2*c - 10*b - 10 = -14*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*r + 5, -4*r - 2*s = 13 + 3. Let l be r - 4*3\/6. Let z = 5 + -3. Sort -0.3, z, l in ascending order.\nAnswer: l, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1 + p - 56*p**3 - 6*p**2 + 2*p**2 + 3*p**2. Is t(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3935, -7736, -11541, -15350, -19163?\nAnswer: -22980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 27*g - 50. Let m be c(-23). Suppose 8*o - 182 = m. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 42 = -46. Solve -4*o = -u*m + 10, 4*m = -o - 5 - 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855*h - 850*h + 5*b + 20 = 0, 5*b + 2 = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97 + -17863\/184. Find the common denominator of -101\/8 and g.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {x: 8, v: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25791 is divided by 24984.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15685163.\nAnswer: 13, 31, 38921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 411b8 + 18d?\nAnswer: 41356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 196428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + 3*v - 2*v**3)*(56*v + 52*v + 2*v) in the form u*v**4 + h*v**2 + d*v**3 + g*v + r and give u.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1305 and 30595?\nAnswer: 275355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431316377.\nAnswer: 431316377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -5*w - 2*i - 72 + 21 + 25, -i + 8 = -2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*q + 3 = -2*l, 0 = 4*l + 3*q - 31. Suppose 2*f = l*f - 2. Solve f = -5*b + 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p**2 - 19*p**2 - 5*p**2 + 8*p**2 in the form v*p + c*p**2 + n and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4+6609488503851\nAnswer: 6609488503855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**2 - 3632*s - 824464 = 0?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*b - 7*b = -57, 0 = 5*h - 4*b + 98. Let o(j) = 5*j + 124. Calculate the remainder when o(h) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 12*a - 383 + 301, -2*a = 4*w - 32 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8081.\nAnswer: 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36883387*y**5 + 100570*y - 147?\nAnswer: 737667740*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-15)*1*2. What is the closest to s in 0.12, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2 - 314*z + 11451 = 0.\nAnswer: -347, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/40*-2*(-10)\/(-24)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 17*j**3 - 138*j**2 - 53*j - 1. Let f(s) = -6*s**3 + 47*s**2 + 19*s. What is 11*f(q) + 4*l(q)?\nAnswer: 2*q**3 - 35*q**2 - 3*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -q + 19, -3*q + 40*p = 35*p - 27 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118996 and 4.\nAnswer: 118996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172585 divided by 47.\nAnswer: -172585\/47","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1492\/(-1865)*(-190)\/(-16)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1 - -1)\/(-2 - -1))\/(-20 - -21). Solve 0 = -h + 5*h + 2*d - 18, -5*h + 2*d + 18 = f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*k = -2*f - 3 + 8, 0 = -8*f + 2*k + 56 - 26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/12)\/(2\/78). Let z be -4 - 3\/(3\/g). List the prime factors of (-544)\/51*z*6\/(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -8. Suppose -t*b + 5 = -1. Suppose 0 = -2*d - 4*m + 558, -b*d - 4*m = 3*d - 1365. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 12 + 57. Let s be -2 + (-5)\/(o\/(-24)). What is the remainder when 19 is divided by (-104)\/s + 4\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 37. Let o be i(19). Solve -4*h - o + 13 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 - (109 + 115 + -116)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -41759200 to the nearest 1000000.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 339595 - 70603 = 0. Round c to the nearest one hundred.\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1222\/182 - 2\/(-7). Suppose r + g = 4*c - 6, 16 = 4*c. Solve -2*h + 3*f = -4*h + 4, 0 = r*h + 3*f - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307303 to the power of 1\/2, to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24980935 divided by 7?\nAnswer: -3568705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23644*m**2 + 23646*m**2 - 70929*m**2 + 23637*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*x - 305, 0 = 4*x + 5*c - 110 - 167. Let t be (-4)\/(-6)*x\/(-14). Let y be -1799 + 0 + t - -2. Round y to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 25*r**2. Determine q(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-19568)\/(-96) + 1\/6?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 9*x**2 + 5. Let g = 3 - -5. Suppose -35 = 3*t - g. List the prime factors of k(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3*k + 89 - 26, 3*k = 18. Solve -5*z - p*z = 8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = d, 2*n - 22799999 = 3*d - 2*d. Round n to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35471143.48 + -35471686.47999975. Let v = 543 + j. What is v rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b - 6. Suppose 0*a - b*j = 5*a - 13, 5*j = 5. Let u be 0\/(0 + 1 + (-7 - -7)). Solve -s - a = -u*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 18*d + 6. Let m(t) be the second derivative of t**3\/6 - t**2\/2 - 11*t. Let f(v) = g(v) - 4*m(v). Differentiate f(h) wrt h.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399401*v**3 - 133125*v**3 - 133146*v**3 - 133140*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 15*b = -23*b + 425444. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -3799887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 270 - 114. Let o = u - 155. Is 24 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 86 = -4*d, 2*d = -0 - 4. What are the prime factors of (-34 - l) + (327 - 0\/(-1))?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, q: 12, g: 3}. Give prob of picking 2 g and 1 q.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*m + 52, 56 = -0*j + 4*j + 4*m. Suppose -13*o + 16*o = j. Let g(n) = -n**2 + 2*n - 1. Give g(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, 5, -2\/9, -50?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1048, 2098, 3148, 4198?\nAnswer: 5248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3 + -2*sqrt(304) + (sqrt(304) + (sqrt(304) - (-1*sqrt(304) + sqrt(304))))*-1)*2)**2.\nAnswer: 384*sqrt(19) + 19494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 11:18 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 770 = 4*u. Let h = u - 106. Suppose 3*z + 5*p + 0 - 3 = 0, -2*p = -h*z + 4. What is the closest to z in 5, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3 - ((-6 - -4) + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68039 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: Suppose 25 = -39*u + 181. Solve u*w + 5 = -4*d - 11, -2*d + w + 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -14. Let s = -6.4 + c. Let a = 0.9 + s. Put a, -5, 2\/5 in ascending order.\nAnswer: -5, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144\/704 - 5\/(-110)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2823371.73 to the nearest 10000.\nAnswer: 2820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -491917453 and -357?\nAnswer: 491917096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - z + 0*z + (0 + z + 0)*(-4 - 3 + 4) + (2 - 1 - 2)*(2*z - 4*z + z) + z - 4 + 4 - z + 2*z + 0*z + (-4 + z + 4)*(5 + 0 + 1).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 16) to base 9\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3345127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*(126\/12 - 9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4366 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*n + 4 = -4*t, 0 = t + 2*n + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*i**5\/8 + 3053*i**4\/8 - 2931*i**3\/2 + 3265*i**2\/2 + 14*i = 0.\nAnswer: -2\/235, 0, 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aawwaaaaaaaawa. What is prob of sequence aaaa?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -24*b + 15. Calculate i(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -20\/7, -779\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 3:41 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -50, -60, -74?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 82833760 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 3}. What is prob of picking 1 a and 2 o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1740.262kg to nanograms.\nAnswer: 1740262000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 10 = 4*w. Suppose 3*v = 3*d - 15, 10 = -2*d - 4*v - w. Solve 0 = -d*u - 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -52. Calculate the remainder when 59 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122734831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416441?\nAnswer: 416441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {x: 2, j: 1, q: 1, i: 1, w: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1416 + 6003164?\nAnswer: 6004613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48602961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 15. Suppose 6*m + 3*x = 2*m + 1042, t*x = 2*m - 512. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584572799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00569616685 to four decimal places.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/9)\/(2 - (-7)\/(-3)). Solve k = -x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002642 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.07 - -0.07. Let h = 6 + z. Let g(p) = p**3 - 2*p**2 + 2*p - 3. Let q be g(2). Sort -1, q, h in ascending order.\nAnswer: h, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 2)*(0*h - 5*h - 4*h)*(7*h**3 + 0*h**3 + 3*h**3) to k*h**2 + f + a*h**4 + w*h + n*h**3 and give a.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, p: 3}. Give prob of picking 2 p and 2 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + -6*(1 + sqrt(891) + -4 + -3 + (sqrt(891) + 1 - sqrt(891)) + 1) + 1))**2.\nAnswer: -112752*sqrt(11) + 1185012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 193728 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.08 - 22.08. What is the third biggest value in -8\/5, g, -0.01, 2?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-15))\/(((-8)\/(-3))\/(-8)). Suppose 0 = u*n - 27*t + 24*t - 932, -5*t = 4*n - 1864. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -53, -0.122, -4\/3, 1\/2 in descending order.\nAnswer: 1\/2, -0.122, -4\/3, -9, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/(-2)*2)\/(2\/(-5606))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 29. Suppose 5*s + 5*i - 50 = -0*i, i = -l*s + 16. Suppose 0 = 8*w - s*w + 130000. Round w to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11106142*a**5*k + a**5 - 7*a*k - 2285861*a wrt a.\nAnswer: -222122840*a**3*k + 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*c - 225, 0 = -5*c + r + 217 + 135. Let q = 8 - c. Let j be 2\/(-7) - (-27089982)\/q. Round j to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -4*r + 50. Let l be 1\/(0 + 3 - 4) + 11. Is 64\/10 + l\/r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 15. Suppose -12 = 3*n - l. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6 - 3 + 0*c - c. Let a(h) = -217. Let z(f) = -79. Let b(q) = -4*a(q) + 11*z(q). Give 8*b(s) + 3*g(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 - 65 = 7*r. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r + 26. Let t be b(-5). Let n be ((-2)\/8*-2)\/(1\/t). Solve 10 = 2*a - 0, -n*a + 11 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -48 + 98 - (-2 - (3 + (2 - 2)))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61 and 43127.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + -8)\/(-2 - -1). Suppose s + 112 = -k*f + 394, s = -5*f + 468. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -251 or -202?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j + 6. Let p(l) = -14*l + 18. Let a(t) = 4*p(t) - 11*z(t). Calculate the remainder when ((-102)\/(-8))\/((-3)\/(-8)) is divided by a(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*3*sqrt(65)*-1)\/((sqrt(625)*-3 + sqrt(625))\/sqrt(5)))**2.\nAnswer: 468\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omo when three letters picked without replacement from {o: 9, m: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 110 = 20. Suppose -3*t = n + 2, -3*n + l = -2*n - 4*t. Let c be 3\/2*(n - 8) - -3. Solve c*z + 25 = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*i + 17, i + 4*i + 16 = t. Let c = 7 - -13. What is the smallest common multiple of c and t - 6\/2 - -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**5\/5 - 18*g**4 - 386*g**3\/5 - 302*g**2\/5 + 384*g\/5 + 392\/5 = 0.\nAnswer: -2, -1, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 180081\nAnswer: 5\/20009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 11*y = -12. Suppose -y*x + 13 + 19 = 4*c, 49 = 4*x + 3*c. What is the smallest common multiple of x and ((-4)\/18)\/(9\/(-81))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -94 - 100. Let h = -190 - c. Solve -h = -6*w - 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198 by -1.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - (1 - 2)) + 6. Which is the third smallest value? (a) k (b) -2\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223084 (base 11) to base 3.\nAnswer: 200001121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31204)\/4842*(-9)\/2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17800, -33970, -50140, -66310?\nAnswer: -82480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 5*z + 2*z + 1699, z - 1273 = -3*c. Let g be c\/40 + (-4)\/(-10). Let w = 6 + g. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924595577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -23, -65, -155, -311, -551?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 157723851 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 739988 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2661744.\nAnswer: 2, 3, 23, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, d: 7, b: 1, g: 8}. What is prob of sequence baa?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h**4 - 4*h**3 + 6*h**2 + 7*h + 7. Let a(z) = 9*z**4 + 4*z**3 - 5*z**2 - 6*z - 6. Let b(y) = -7*a(y) - 6*i(y). Let b(r) = 0. What is r?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-6 - -1) - 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 81.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 4*m**4 + 0*m + (0*m**3 + 3*m**3 - 2*m**3)*(4 - 4 + m).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 3*m - 3*m)*(0*m**2 + 2*m**2 - 3*m**2) + (-4*m**2 + 3*m**2 + 2*m**2)*(10*m + 10*m + 23*m)*(8 - 13 + 6) to a*m**2 + q*m**3 + s + o*m and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*n + 168 = 4*u, 5*u + 5*n - 255 = 0. Suppose -49*b = -u*b + 1175. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1, 0.47, -2\/9?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1904 and 11032?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 0.4, -136, -1\/18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -18055.4681 to zero dps.\nAnswer: -18055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7635.68316ns in weeks?\nAnswer: 0.0000000000126251375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149032902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 68?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fab75b + 3?\nAnswer: -fab758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2401*j**3\/2 - 381857*j**2\/2 - 15583*j\/2 - 159\/2 = 0.\nAnswer: -159, -1\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11660704 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84*-6*(-31)\/(-2232)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50864724 and 18784?\nAnswer: 2348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 345852806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -0.3 (c) 6 (d) 26275.2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 14*z**3 + z**2 + 86*z - 272. Determine h(3).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n - 12. Suppose -4*y - 4*d + n*d = 0, -4*y + 2*d = 0. Suppose -5*t + 114 + 66 = y. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18952981 is divided by 2729?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/13 - 40*p\/13 + 256.\nAnswer: -2*(p - 32)*(p + 52)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 7 - -2) + -6 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 times 260519?\nAnswer: 25791381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -5\/61 (c) 1\/3 (d) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 r when three letters picked without replacement from rcrrcaccpusprrr?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.59 - 27.59. What is the fourth smallest value in 1, y, 2, 19, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/(-1)*-5*(0 + 19\/475)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12462*n - 6266*n - 6205*n.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140.774 - 1.674. Let u = y + -138. Put -3, -4, 3, u in descending order.\nAnswer: 3, u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 - 2*b**2 + 2*b**2)*(1 - 3 + 0)*(-4 - 11 + 6) - 25 - 55*b**4 + 25.\nAnswer: -91*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6 + 3. Let k = s + 0.6. Which is the nearest to k? (a) -4 (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*m + 810 - 34 + 204 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 7*m**2 + 6*m - 3. Let w be t(6). Let a be 2\/w + 80\/12. Suppose b = -4*p - 8, -4*p - a = -2*p. Solve -11 = -b*g - 31 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3726 + 5460. Let l = -1136 + c. List the prime factors of l.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -182? (a) -3\/2 (b) -4 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90685*g**5*h - 5*g**2*h + 39*g**2 + g*h + 2*h wrt g.\nAnswer: -5441100*g**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 140\/3 (b) -1 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48371.99 litres?\nAnswer: 48371990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 28\/11*g - 2\/11*g**2.\nAnswer: -2*g*(g - 14)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3704 divided by 926\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3551.6 - -3552. Put -2\/5, -515, y in descending order.\nAnswer: y, -2\/5, -515","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 706 divide 917669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8c (base 14) to base 2.\nAnswer: 100000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*a + 20, -6*i = -4*a - 2*i - 16. Let r(l) = -l**2 - 9*l - 7. What are the prime factors of r(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 12:49 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 3*q + 162. Let n be z(0). Let m = n - 153. What is the remainder when 196 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 329 + 343. Calculate the lowest common multiple of 88 and y.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 25\/4*r**4 + 19\/2*r**2 - 1\/6*r**3 + 2 - 36*r. Find the second derivative of b(s) wrt s.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 - -65.00000137. What is m rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -12*h**4 + 20*h**3 + 136*h**2 - 96*h = 0.\nAnswer: -3, 0, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3488 = 43*s - 51*s. Let c = s - -890. List the prime factors of c.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, c: 3, f: 5, u: 2}. Give prob of sequence cucf.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*b + 2532. Let q = b - 122358\/95. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 - -408. Calculate the greatest common divisor of 39 and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17 - 1\/(1 - 2). Let c = i + -11. Let a = -25 + 29. Calculate the remainder when c is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, z: 2}. What is prob of picking 3 b and 1 z?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -12. Let q = 1.4 - 1.2. Which is the nearest to 1? (a) q (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*z + 3. Suppose -4*g = 3*x - 21, 5*g = x + 2*x + 6. Let p(i) = 0*i**3 + 3*i**x - 3*i**3 + z*i**2 - i**3 - 2 - i. Give p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41252 + -452495\/11. Let w = z + -116. Suppose -7 - 19 = 4*h - 3*s, 2*s + 36 = -4*h. Sort w, h, -4 in descending order.\nAnswer: w, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1741866, 1741705, 1741438, 1741065, 1740586, 1740001?\nAnswer: 1739310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 2*q + 2*q**2 + (-6*q - 3*q + 3*q)*(-4*q + 3*q + 2*q) + 63*q**2 - 44*q**2 + 768*q**2 to l*q + p*q**2 + j and give p.\nAnswer: 783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/179456 and 33\/2?\nAnswer: 179456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a + 55. Give q(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**3*h)**(-1\/15)*h**(-2)*h**(8\/3) assuming h is positive.\nAnswer: h**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 320013420 (base 5) to base 3\nAnswer: 2111112100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 1 (c) 230 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 761066999?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5\/4 - 14517*q**4\/4 + 15601401*q**3\/4 + 4733404161*q**2\/4 + 86206627962*q + 810332054532 = 0. What is q?\nAnswer: -123, -11, 2548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23617983413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 + g**4 + 0*g**4 + (2*g - 5*g + 4*g)*(g**3 + g**3 + 0*g**3) + g**3 + 3*g**4 - g**3 to p*g**3 + s*g + c + w*g**4 + m*g**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/493986 and -49\/90?\nAnswer: 7409790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/5 of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10aa7 (base 11) to base 5\nAnswer: 1002333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4574 + 18051\/4. Let p = q + 40. What is the common denominator of -91\/2 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {g: 11, f: 3, d: 1, k: 4}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enbexexexbn. What is prob of sequence exn?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1536828 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 622 + 251*a - 622 as m*a + g and give m.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - 1 - (138 + -120 - (12 + -1)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2. Let b(c) = 4*c**3 + c**2 - c. Let j be b(1). Let h(d) = -j*d**2 + 144 - 144. What is o(h(g))?\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/(-12)*(-16)\/(-100). What is the second biggest value in -16, -2, 9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from yyygkkaygk.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9870 and 1854620.\nAnswer: 38947020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -0.139 (c) 37.5 (d) 0.5 (e) -15 (f) -0.3 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgivgmgvvvg. Give prob of sequence vvm.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.0669 + -0.0669. Let v be 6\/33 - 72\/33. Let r = 30 + -448\/15. What is the smallest value in -5, w, v, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 + 57. Calculate the remainder when (24\/10)\/(12\/y) is divided by (52\/12)\/(3\/9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1011, -71, 1.9, 3, -3, 1 in decreasing order.\nAnswer: 1011, 3, 1.9, 1, -3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3530552660?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*k + 70*k + 204 = 0. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 6. Let l = -369 - -369. Solve -t*o - 6 + 0 = l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v**2 - 3*v - 3. Suppose 4*t - z = 16, -7*t - 3*z = -2*t - 20. Let b(y) = -1 - y**2 + 3*y + y + t*y**2 - 5*y. Determine 5*b(q) - 2*j(q).\nAnswer: 3*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tptttppttttt. Give prob of picking 2 t.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 619103692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 321.96253 * 0.2.\nAnswer: 64.392506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/14038?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 - 75 = 13*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -4)*5 + (sqrt(1100) + -4)**2 - (1 + 4*(-1 + 2*sqrt(11))).\nAnswer: -83*sqrt(11) + 1099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313*d*f**2 + d*f + d + 2121*f**2 + 74345*f - 1 wrt f.\nAnswer: 626*d + 4242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 31?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 107440542 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9780 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**7\/30 + 5*x**4\/8 - 6*x**2. Find the second derivative of p(r) wrt r.\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10280 by 1.\nAnswer: -10280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)**(-29)*(a**(-2)*a)**(6\/5))\/((a\/a**(-1\/3)*a*a*(a\/a**(-1\/2))\/a)\/(a**(5\/2)\/a*a*(a*a*a*a**(3\/4)\/a)\/a)) assuming a is positive.\nAnswer: a**(-1787\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = 14346 - 14346. Solve -1 + 9 = -4*y, -3*o - 5*y - 22 = k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, t: 1, b: 1}. Give prob of picking 2 x and 1 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (6 + 7) - -50 - (1 + -17).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*y - 6*b + 7*b, 5 = 5*b. Sort 3, 42, y in decreasing order.\nAnswer: 42, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 22*o**3 + 6. Let k(z) = 7*z**3 + 2. Give 11*k(t) - 4*r(t).\nAnswer: -11*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h = 6*h + 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -9.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*o = -205 - 610 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1628701821 divided by -5\nAnswer: 1628701821\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4566 (base 7) in base 8?\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/63 - (-770)\/(-1176)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -189167 or -189168?\nAnswer: -189167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -1, -3, 2, -88 in increasing order.\nAnswer: -88, -4, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 928266304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110 - -451. Is 68 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 25*m**3 + 23*m + 5*m - 24*m**3 to u + s*m + w*m**3 + a*m**2 and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 6*k - 8. Suppose 2*n - 4*v = -v + 33, 5*v - 21 = -3*n. Suppose 5*f + 3*d + 52 = 0, 0*d = 3*d + n. Let b be p(f). Solve 5*y + b = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 16. Suppose -4*x + l*h + 63 = -1448, -1880 = -5*x + 2*h. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {e: 4, a: 1, r: 4, b: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4103, -4110, -4119, -4130, -4143, -4158?\nAnswer: -4175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o - o)*(o - 2*o + 2*o) - 9*o**2 - 26 + 26.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 21304 = 21295 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y - 17 + 17*y + 17*y - 20*y. Let m(x) = -36*x - 27*x - 6 - 33*x + 102*x. What is 4*l(r) - 11*m(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t. Let w(f) = 2*f**2 + 4*f. Let y(g) = 3*g**2 + 7*g. Let s(r) = 7*w(r) - 4*y(r). Calculate s(a(c)).\nAnswer: 162*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -469405*b - 3285854. Give f(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 4*g**2 - 2*g. Let n be s(3). Suppose -q + 28 = n*q. Find the first derivative of q*l + 5 - 7*l - 1 - l**2 wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 68*a - 82. Give c(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 25. Suppose a = -a - 2*l + 26, 0 = -2*a + z*l + 5. Suppose 49 = 5*u + x, 0*u = 5*u - x - 41. Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 363.488 times -0.72\nAnswer: -261.71136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70009, 69836, 69651, 69448, 69221, 68964, 68671?\n\"Answer: -h**3 - 166*h + 70176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 11. Determine b(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -15 (c) 11.125 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -q + 13. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 - 129*u**2 - 15*u + 150. Does 40 divide m(65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 6*n**2 - 2*n - 7. Suppose j - 14*j = -65. Give o(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 0 - 33\/(-11). Suppose -2*r = 4*g + 36, -g + u*r - 36 = 2*g. What is the units digit of (-68)\/g - (-20)\/(-25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15972\/(-6776)*8\/12.\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -2, 14, 1, -4 in descending order.\nAnswer: 14, 1, 1\/2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/94256 and 19\/765830?\nAnswer: 6126640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3. Let s = h + 1. Let d = -2044 + 2044. Solve d = -2*u + s - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hehe when four letters picked without replacement from {e: 2, h: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1427472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 514 = -5*u - 499, -f - 2*u + 1 - 10 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q**3 + 3*q**3 + 2*q**3 + 8*q + 2*q**3 - 8*q + q**3 - 2*q**3 - q**3 + (-3*q + 3*q + q)*(0 + 0 - q**2) - 3*q**3 + 4*q**3 - 3*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4270, 0, 0.4, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) 7\/9 (c) 1\/16611\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 - 110011?\nAnswer: -1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + -28)\/((-6)\/52). Let z = 430 - c. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - ((-132)\/(-12) - 33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - z + 0*z + 2 + z - 2 + 3*z - 4*z - z + (-3 + 0 + 1)*(-2*z + 2*z + 2*z) - 6*z - 3 + 3 to i*z + l and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 + 4*p**3 + 8*p**3 + (-p**2 - 1 + 1)*(-1 + 3 + 5*p - 2*p).\nAnswer: 6*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6*2 - 10\/(-8). Let l be ((-3)\/5)\/((-7)\/2 + 5). Which is the nearest to 0.1? (a) l (b) u (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = -5*s. Let m be 52\/(-3) - s\/6. Is m <= -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 2*j**2 + 5*j + 4. Let i be l(-2). Solve -c - k + i = 0, 0 = -c - c + 4*k - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*y**3 - 38*y**3 + 28 - 4)*(-84 + 7*y + 84)*(-3 + 0 + 1).\nAnswer: 14*y**4 - 336*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + (0 + -2 + sqrt(1573))**2.\nAnswer: -44*sqrt(13) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8 = -0*l - 4*l, 0 = -4*l + 3*b + 24. Let k(u) = u**3 + 4*u**2 - 2*u - 3. Let y be k(-3). What is the greatest common divisor of y and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5801 - -8731. Suppose -s = -5*n - 5*m, 0*m + 1 = -m. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a41d + -a?\nAnswer: 5a413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 215669.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-15)\/(-100)*4\/12.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83166785 divided by -6.\nAnswer: 83166785\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 7)*(2*a**2 - 2*a**2 + 2*a**2) + 10*a**2 + 6*a**2 + 17*a**2.\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*z = 205*z + 4979 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -3*n. Suppose -5*s = 120 - 510. Suppose 3*i - 2*f = s, -3*i + n*f + 4*f + 78 = 0. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/(-74))\/(1\/3*21\/182).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + b)*(3*b - 3*b + 2*b**2) - 11*b**3 - 16*b**3 - 2*b**3 + (3*b**3 - b**3 - 3*b**3)*(-4 + 5 - 2).\nAnswer: -26*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = 5*m, -5*w + 0*m - 3*m + 20 = 0. Let k(j) = j**2 - 2*j + 3. Let b be k(w). Suppose l - 2 = b. What is the remainder when 38 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**3\/3 - 2*a**2 + 56*a - 22. Let j be s(0). Let b be (j\/(-12))\/7*6. Let h(y) = -y**2 - 2*y - 5. Determine h(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1537 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -3*z**2 - 5*z**2 + 1 + 6*z**2 - 7. What is x(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 306*f**2 + 20*f + 96. What is the hundreds digit of x(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135 is divided by 192?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 8*b - 3. Let f(g) = 10*g - 8. Calculate the least common multiple of f(3) and w(5).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -27*g**2 - 17*g + 30. Let o be n(14). Round o to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y + 22*y + r = -4, 2*y - 20 = 5*r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 10:39 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64811*i - 64831*i + 1924 + 896 = 0. Calculate the remainder when i is divided by (36\/5)\/(2\/10).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*k**2 - 332\/3*k - 160\/3*k**3 + 64\/3*k**4 - 40\/3 = 0. Calculate k.\nAnswer: -2, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 74, 70, 38?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71969035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqtqplqpptppp. What is prob of picking 3 q and 1 t?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 298 + -301873\/1013. Let s = -59749\/18234 - o. Let l = s - -7\/2. What is the nearest to -2 in 1, l, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 16. Let d be 2 - (-1)\/(-2)*6. Calculate the remainder when 138\/3*(0 - d) is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-2)\/((-9)\/(6\/(-2)))). Let d be 2 - ((q - 14) + 5). What is the highest common divisor of d and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1465 = 9*p - 4*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/2863 + 24155\/8589. Calculate the common denominator of 95\/24 and d.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 u when four letters picked without replacement from mummmmmmummmmumummm.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + -4 + 0 + 2 - (60533 + -60614)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euz when three letters picked without replacement from {z: 1, w: 6, e: 2, m: 2, u: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36304 - 36302. Sort 2\/15, x, 0, 0.4, -1616 in decreasing order.\nAnswer: x, 0.4, 2\/15, 0, -1616","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 w when four letters picked without replacement from {y: 2, f: 1, w: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4\/138275 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396 and 12780?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 4*u. Let r be u\/(-7) + -1 + 4. Solve -1 - r = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/(-4)*19\/(4123\/124)*4\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 1. Let p(z) = -39*z - 11. Let y(o) = -59*o - 17. Let x(h) = -7*p(h) + 5*y(h). Let g(a) = -3*n(a) + x(a). What is the derivative of g(j) wrt j?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10911231.1 and 1.\nAnswer: 10911232.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 1.187. What is j rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.053429376 rounded to one dp?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58*-2.02.\nAnswer: 117.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119*l*m**3 - 14*l*m**2 + 4*m wrt m?\nAnswer: 714*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*l - o, -2*o = 2 - 4. Suppose -y = -2*y + l. Suppose -y = f - 16. What is the highest common divisor of f and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 107029, 428142, 963349, 1712650, 2676045, 3853534?\n\"Answer: 107047*b**2 - 28*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1.52?\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -23*x + 1. Let v(o) = -8*o. Let k(u) = 8*v(u) - 3*y(u). Let q be k(-6). Let z = q - -38. Solve 4*a = 2*r + 7*a, -z*r + 4*a = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171990 and 162657950.\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*r + 6, -4*t + 2*r - 6 = t. Let q(o) = 20*o**2 + o. What is the remainder when q(t) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290 or -266?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -26. Calculate the remainder when 61 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + ((-176)\/11 - -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 36*s + 23. Let c(n) = 106*n + 76. Give 3*c(z) - 10*g(z).\nAnswer: -42*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11424974 to the power of 1\/2, to the nearest integer?\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + b - 5 = 0, -22*b + 10*b + 14*b + 35 = -17*h + 3*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 0.2. Which is the second biggest value? (a) r (b) -4 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -1730743.59514?\nAnswer: 1730741.59514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1886 - 0.1049. Let h = 93.9837 - z. Let v = h + -94. Which is bigger: v or -31?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345919314 to the power of 1\/2, to the nearest integer?\nAnswer: 18599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 163263\/7 - 23323. Which is the nearest to -5? (a) -2 (b) -18 (c) -1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96853*(-6)\/(-30) + (-12)\/20. Let v = s - 19815512\/1023. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8221? (a) 0 (b) -1\/3 (c) 1\/12 (d) 5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z**2. Let q(v) = -509*v - 6720. Calculate q(p(l)).\nAnswer: -4581*l**2 - 6720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 569.5.\nAnswer: 569.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 81 - 245600541379\nAnswer: -245600541298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**7\/147 + 2*a**6\/21 + 5*a**5\/14 + a - 13. Factor p(r).\nAnswer: 2*r**3*(r + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-951)\/(-12363))\/(15\/(-6))\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/105 - -2)*-2 + (-618)\/(-2163)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1472 - -1542. Calculate the greatest common factor of b and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(300) + -1 + sqrt(300))*4 + (1*(2 + (2*sqrt(300) - sqrt(300) - sqrt(300)) - sqrt(300)))**2.\nAnswer: -440*sqrt(3) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a + 20. Let w be (0 - 8) + -5 + 5. Let d(n) = -2*n + 7. Let y(z) = w*d(z) + 3*v(z). Let s be y(-5). What is s rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 135 = 13*f. Suppose -4*s = -7*s + f. Factor 0 + 0*q - 2\/7*q**2 - 4\/7*q**s + 6\/7*q**3.\nAnswer: -2*q**2*(q - 1)*(2*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -465.652 + 504.6554. Let j = c - 39. What is j rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 5:44 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**6\/120 + 7*k**5\/30 + 7*k**4\/8 - 5*k**3\/6 + 12*k**2. Is x(-12) 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 oyoyy. What is prob of sequence yy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07739 rounded to three decimal places?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4365.014nm?\nAnswer: 4.365014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3\/4*q**4 - 21\/4*q**3 + 84 + 51*q - 9*q**2 = 0?\nAnswer: -2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**3\/3 - g**2\/2 + g - 1060. Give v(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from iyiiiyiyyiyi?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/4 + 537*o**3\/2 + 3987*o**2 + 33399*o\/2 + 85779\/4 = 0. What is o?\nAnswer: -1059, -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**4\/12 - 5*t**3\/6 + 3*t**2. Let h be q(-5). Sort h, 1, 0 in descending order.\nAnswer: h, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w - 6*w = 420. Which is the nearest to 2? (a) w (b) -1 (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33, -71, -105, -135, -161, -183?\n\"Answer: 2*b**2 - 44*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113\/202 + -6\/101. Factor s**2 - 1\/2*s + 0 - t*s**3.\nAnswer: -s*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-100))\/((-15)\/60)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 975 = -10*k. Let j = k - -407. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, p: 5, d: 3, j: 4}. Give prob of sequence mpm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - ((1 - -3) + -1)) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*k = -2*x - 332, -x = -2*k + 83. Let f = x - -83. Suppose s + 3*z - 342 = f, 0 = 5*s - 0*z - z - 1694. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**2 - 25785*o - 77364 = 0?\nAnswer: -3, 25788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*i = 22, -5 = -4*x + x + 2*i. Which is the closest to 0? (a) x (b) -18 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/1)\/(145\/(-58))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/17)\/x*x*x*x\/(((x**(2\/5)*x*x)\/x)\/x)*(x\/(((x\/((x\/x**(-2))\/x))\/x)\/x))**(27\/5))**(-34) assuming x is positive.\nAnswer: x**(-4124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 0*v**6 - 4\/3*v**3 + 5 + 0*v**4 + 0*v - 6\/7*v**7 + 0*v**5 + 0*v**2. What is the third derivative of b(x) wrt x?\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -8 + 7 + -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15388 - 184525\/12. Calculate the common denominator of v and 11\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 3:44 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 4*g + 0*g)*((-2*g - 2 + 2)*(3*g + 2*g**3 - 3*g) - 2*g**3 + 2*g**4 + 2*g**3).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edte. What is prob of picking 1 e and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 - 0.1. What is the closest to -3\/2 in w, 2\/17, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from schlrssrlhcn. Give prob of picking 1 r, 1 l, and 2 c.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (807\/(-12) - 41\/164)\/(1\/(-2)). Let m = -16 + 31. What is the greatest common divisor of n and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18002.000036135 + -18002. Round s to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 (base 9) in base 6?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29003893 divided by 8.\nAnswer: 29003893\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from {u: 2, a: 7, f: 1, w: 5, b: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 74081 (base 11) to base 13\nAnswer: 3a160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 - 128*j**3 - 456*j**2 - 192*j + 368.\nAnswer: (j - 46)*(j + 2)**2*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 12:57 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 times -2?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10.4 times -0.2\nAnswer: -2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 163511 + 0*q**2 - 163805.\nAnswer: 2*q**2 - 294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201*h**3*y**2 - 5*h**3*y + h**2*y + 9*y**2 - 16*y wrt y.\nAnswer: 402*h**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 71. Let a = 30 + -65. Calculate the remainder when (32\/10)\/((-2)\/a) is divided by v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -72. Suppose x = 17*l - 15*l + 32. What are the prime factors of (-1 - 11)\/(6*1\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16\/11 - -2. Which is the closest to 6? (a) 1\/4 (b) v (c) 2\/11 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3048?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 9. Let k = 6.3 - 6. Let w = -1.3 + k. Which is the nearest to w? (a) i (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*y = -0*y + 31, -2*r + y = -14. Suppose -r*m = -4*b - 2*m - 7, m = 5*b + 6. Let u be 52\/14 + (-2)\/(-7). What is the nearest to b in -4, -2\/11, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -41, -71, -101, -131?\n\"Answer: -30*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 2*q**2 - 6*q**2. Suppose -18*f = -3*f - 405. Let c(k) = -f*k + 14*k + 16*k. Calculate x(c(r)).\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/7 - 345\/35. Let q be 4\/(-10) - x\/25. Let g be 2*(q + 2) - 3. Are 4\/9 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42*c**2*t + 2714*c**2 - 1457*c*t**3 - 60 wrt t?\nAnswer: -42*c**2 - 4371*c*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-27) + 6\/(-81) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 4 - (-3 + -22). Let h = 51 - x. Let d = h - 1. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5630 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 59.1933906204.\nAnswer: 65.1933906204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 325477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**3\/3 + 5*s**2\/2 - 4*s + 6. Determine q(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3215.2 + 2948. Let s = x + 268. Is 1\/4 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-1*sqrt(117)*-2 - sqrt(117)))\/(sqrt(54)\/(sqrt(6) + (sqrt(96)*-4 - sqrt(6)))))**2.\nAnswer: 83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50348518931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4626227 or 4626226?\nAnswer: 4626226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(4\/7))\/((f\/(f\/(f\/f**(-3\/4))))\/f))\/(f**9\/(f*f**(1\/7))) assuming f is positive.\nAnswer: f**(-229\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 41*l**2 + 177*l - 89. Suppose 0 = 2*o - 63 - 3. Calculate the remainder when o is divided by m(-36).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 887.6233 grams in nanograms?\nAnswer: 887623300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55, 208, 457, 802?\n\"Answer: 48*y**2 + 9*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608 - 85 = -5*a - r, 3*a - 4*r = 402. List the prime factors of a.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/((-42)\/(-63))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 1. Let r(p) = p - 1. Let h be 0 - 0\/(-1) - -4. Suppose 3*b - 4*q = 1166, -b + q = -2*b + 391. Let f = b - 393. What is f*r(j) + h*t(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x - 24*x - 7 = -2*m, 6*x = -m + 26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus -1179377.6?\nAnswer: -1179386.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3cd3 (base 16) to base 9.\nAnswer: -23321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32223012 (base 5) to base 11.\nAnswer: 177543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 - 17712207*h\/2 + 313722276810849\/4.\nAnswer: (h - 17712207)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 172248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 669661 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f + 140 = 0. Suppose 4 = 3*k - f. Let h(q) = -108*q - 211. Let i be h(-2). Solve u = 3*y + k, -2*y + 5*u + i = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9 + 1 = 0. Let h(v) = v + v - b*v. Let f(z) = 8*z - 5. Let d(y) = 10*y - 6. Let r(p) = 5*d(p) - 6*f(p). Calculate r(h(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 5. Let j be d(-10). Let o = 22 + j. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - w + 231*w**2 - 7*w**3 - 231*w**2 to i*w**3 + b*w**2 + h + t*w and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/2 - 15*z**3 - 78*z**2 + 527*z - 867\/2 = 0. Calculate z.\nAnswer: -17, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o - 2. Let w be q(1). Let m = 167 - 167. Which is the second smallest value? (a) w (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415859 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.01 + 0.01. Let a = 0.4 - 0.3. Let i = -0.13 + -4.87. Sort a, s, i.\nAnswer: i, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 + 6*k + 15. Let f be z(-3). Let v be f\/(-30) - 6\/10 - -2. Suppose -v*w - 76 = w. Is w != -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:48 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 12*n - 3. Let d(y) = 4*y - 14. Let l be d(5). Let p be u(l). Which is smaller: -7 or p?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4 + (-4 + 5 - 2)*(0 + 0 + 3) - 1 - 3 + 3 + (-4 + 0 + 5)*(-1 + 5 - 3) - 3 + 0 + 4 + 2 - 4 + 1 + 4 - 3 + 1)*(47*m**2 - 47*m**2 - 9*m**3).\nAnswer: 27*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1792, 3600, 5408?\n\"Answer: 1808*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3050 > -3049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (688\/(-34056))\/((-2)\/54)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185 divided by -121622?\nAnswer: -1185\/121622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.54 and 1078.481.\nAnswer: 582.37974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1979, 1985, 1995, 2009, 2027, 2049, 2075?\nAnswer: 2105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1326 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*l - 6575 = 0, 0*u - 8203 = -5*u - l. What are the prime factors of u?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 8*b + 7. Let y be i(-8). Let l = y - 6. Which is bigger: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -174.57 + 8168041968\nAnswer: 8168041793.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(((m**(1\/2)*m)\/m)\/m))\/m)**(-3\/2)*(m**(-2\/7))**(4\/11) assuming m is positive.\nAnswer: m**(-263\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 1, c: 2, l: 3, s: 1, a: 3}. Give prob of sequence yl.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a - 84*a - 596 = 44*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 4*f. Let b(q) = 2*q**2 - 3*q + 3. Let h be b(2). Let x(n) = 3*n**2 - n + 5. Let l be x(h). Let w be -2*(l\/6)\/(-5). Give c(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**2 - 8*b + 1083. Let i(k) = 6*k**2 + 82*k + 1084. Let z(o) = 3*i(o) - 4*q(o). Suppose z(t) = 0. What is t?\nAnswer: 4, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (253\/((-138138)\/624))\/(((-20)\/476)\/5)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -2*k**5\/45 - k**4\/3 - 2*k**3\/3 - 4*k**2\/9 + 2. Suppose t(h) = 0. Calculate h.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 11. Suppose 60 = -a + g*a. Solve 5*v - 19 = -2*b, -3*v - 2*b = b - a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1422?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 13*q - 1. Suppose -41*c = -2*c + 53 - 248. Give w(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -12.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 7*k**2 - 10*k - 8*k.\nAnswer: -7*k**2 - 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*b**2 - 23\/3*b + 22\/3 = 0. Calculate b.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -80873, -20, -18, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 65761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -29. Let i(q) = -q + 38. Let n be i(b). Let h = n + -40. Is -5\/3 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 97bd2 - -10?\nAnswer: 97c02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 5*s + 7. Determine b(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + n + 23 = 0, 4*v + n - 5764 + 5805 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*j - 6. Let o be ((-9)\/12*j - -3)*2. Suppose -2*p + 205 = -5*h + 22, -2*p = o*h - 175. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 less than -25467.455?\nAnswer: -25784.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) 0.5 (c) -8\/9 (d) -1288\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-35 + 4)) + 52 + -79 + 51 + 1.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 39*m**2 - 41*m + 119. What is i(38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -877745012.\nAnswer: -877745009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (-16 + 18 + -13).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2*i = 20. Suppose i*f + 1 = -2*r + 3, -4*r + 11 = f. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3 - 7656*y**2 + 407250*y + 113363900 = 0. Calculate y.\nAnswer: -97, 155, 3770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/5 + 672*d\/5 + 10496\/5 = 0.\nAnswer: -656, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 1\/2, 2374\/21, 193, -6, -2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -2\/9 (c) -3\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (99*b**2 - 53*b**2 + 548*b - 45*b**2)*((3 - 2*b - 3)*(1 + 0 + 1) - 3*b + b + 0*b) as q + i*b**2 + k*b + n*b**3 and give i.\nAnswer: -3288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**26\/((j**(-3)*j)\/(j**(-2\/3)\/j)))**(-15) assuming j is positive.\nAnswer: j**775","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:50 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -15 - 20) + 14. Solve p*f = -4*h + 11, -f - 8 = 29*h - 30*h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and 0.75352.\nAnswer: 18.08448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 163 + 5?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62190 and 52830.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2 + 65*n + 2. Let s(v) = 12*v**2 - 131*v - 5. Calculate 5*h(x) + 2*s(x).\nAnswer: -x**2 + 63*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (-1 + 0 + 3). Suppose -81*g + 87*g = 6. What is the second biggest value in 2, g, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2624\/80 - (-1)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 divided by -26?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6247055 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + (-16 - -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(-7*m - 44 + 44)*(2*m - 1 + 1).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 72\/16 + (-2)\/4. Solve o - 3 = -f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210102110212021 + 1?\nAnswer: 2210102110212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8353\/3 - -2709. Let k = 77 + s. Which is the smallest value? (a) 5 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + 0 + (((sqrt(175) + sqrt(175)*-2)*-3)**2 - -3*(sqrt(175) + 0 + sqrt(175)))*6*-6.\nAnswer: -56702 - 1080*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/23 + 47\/138. Let m = 1 + -0.9. Which is the biggest value? (a) m (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, z: 1, v: 4, n: 4, m: 4, w: 1}. Give prob of sequence mvwp.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 9:11 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7117139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -25*s**3 + s**2 + 2*s + 1. Let k be (-44)\/16 + 3\/4. Let b be ((-44)\/66)\/(k\/(-3)). What is w(b)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 15176 - 15176.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6959965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/23 (b) 0.0345 (c) -3 (d) -5 (e) -2 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 365 + 271 = 0. Let c(i) = -318 + i - 3*i + q. Let h(a) = -1 + 1 - 12*a. What is h(c(y))?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*w - 5*w + 20 = 0, 2*c + 2*w = 20. Suppose c*x - 110 - 100 = 0. Factor 3*a**5 + 38*a**4 - x*a**4 + a**5 - 8*a**3.\nAnswer: 4*a**3*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - 61.23415066672.\nAnswer: -61.22415066672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 7*a - 3. What is the remainder when 33 is divided by h(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 16061*z - 786985. What is i(49)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 9) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.2. Let k = 0.201 + 0.009. Let d = k + 4.79. What is the closest to -1 in f, -5, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 13\/8 of a microsecond?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3775642329.73 + 0.1334?\nAnswer: -3775642329.5966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 77\/7 + 120\/(-11)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-24)*(2 - -6 - -2). Is b greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 63129, 126257, 189371, 252465, 315533, 378569, 441567?\n\"Answer: -z**3 - z**2 + 63138*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-15 - -21 - -7) - -18\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70240 is divided by 163?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 243, -125, -749, -1635, -2789, -4217, -5925, -7919?\n\"Answer: -h**3 - 122*h**2 + 5*h + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -7, -8, 14 in descending order.\nAnswer: 14, 7, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -2.4108618?\nAnswer: -12.054309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 26*g**3 + 374*g**2 - 374*g**2 - 4*g**3.\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -5384\/51 >= -1\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7774453?\nAnswer: 97, 80149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 1. Let z(k) = 3*k. What is -5*g(u) + z(u)?\nAnswer: -2*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20955 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 0.0049?\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17353, -34708, -52063, -69418, -86773?\nAnswer: -104128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2 - 5*c - 2. Let x(m) = -5*m**2 + 5*m + 2. Let s(d) = 4*i(d) + 3*x(d). Calculate s(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/28)\/4 - (-4656)\/(-336)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 71.\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*v - 108 = -62*v - 54*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81378361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 22*a + 78. Let d be m(-4). Let f be ((-1)\/d - 0)\/(2\/8). What is the nearest to f in -0.5, -6, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q**3 - q**3 + 3*q**3 - 71*q**2 - q**3 + 71*q**2 + (q**2 - q**2 + 2*q**2)*(-2*q + 0*q + 4*q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1399*q**2 - 1399*q**2 + 32*q**3 + q**3 - 3*q**3 - q**3 + 3*q**3 + 0*q**2 + 0*q**2 + (0*q**2 - 2*q**3 + 0*q**2)*(-2 + 2 + 2).\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -589*d**2 - 763*d**2 - 2*d - 253*d**2 - 311*d**2 to p + j*d + x*d**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3*u + 3)*(1 - 1 + 3*u**3) + 3*u**4 - u + u + 3*u**3 - 3*u**3 - 2*u**4 as q*u**4 + m*u**3 + g*u + v + x*u**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 1632?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 98, 237, 416, 629, 870, 1133, 1412, 1701?\n\"Answer: -h**3 + 26*h**2 + 68*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1 (c) 14611 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 0*p + p)*(-2 + 2 + 3)*(-3*p + 2*p - p) - p**2 + 6*p**2 - 3*p**2 + (2*p - 1 + 1)*(p - 2*p - p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 - (-1 - -1 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 11114 - 13*d - 10436)*(-d**2 - 2*d**3 + d**2).\nAnswer: 26*d**4 - 1356*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 197484449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 23073, 2, -4 in decreasing order.\nAnswer: 23073, 2, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**3 - 4*q**3 - q**3 + (-2*q**2 - 4 + 4)*(-q + 3*q - 3*q)*(-1 - 5 + 4) + 3*q - 3*q**3 - 3*q as o*q + b + r*q**3 + g*q**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 5979 - 22587 = -80211. Does 62 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1140987?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47762999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11824 + -0.114. What is t rounded to four decimal places?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 16*o**2 + 18*o + 37. Calculate m(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.073 + -19.457. Let o = v - -21.530001373. What is o rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144*k**3 - 2*k**2 - 29?\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 25*g**2 + g - 2. Let f be w(1). Let j be (f\/(-18))\/(6\/9). What is the tens digit of (46 + -4)*((-5)\/j - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 35761938 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnn when three letters picked without replacement from {r: 3, d: 2, a: 3, b: 1, n: 2, j: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 34. Let n = u + -8. Suppose -5*g - 10 = 0, 3*h = n*h + 5*g + 14. Put h, -1, -2 in descending order.\nAnswer: -1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543*v + 2 + 429*v - 1492*v + 209*v - 3.\nAnswer: -311*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -1 (c) 3 (d) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35744 + 35747. Suppose r = -4*r - 20, -212 = -4*j + 2*r. Let y = j - 203\/4. Is i smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147\/(-7)*(-6)\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1110001110101110111110101?\nAnswer: -1110001110101110111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 18. Let r(u) = 3*u + 55. Let m(o) = 8*p(o) - 3*r(o). Let a be m(-9). Let y = 12 + a. Solve 0 = -4*l - g - y*g - 16, 4*g = 2*l - 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39202043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26851 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8*w + 1. Let y be t(-1). Let h(u) = u + 5. Let r be h(y). Sort -1, r, -4 in decreasing order.\nAnswer: -1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -13*z - 27 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 94379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1562 is divided by 260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 39*h - 959. Calculate the remainder when b(39) is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*f - 75*f = -3376. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 47 = 2*r + 169, 5*r - 475 = -4*x. Calculate the greatest common factor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-20 - -8 - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**2 + 146*h + 51. Determine g(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00090341514 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10222.8 rounded to the nearest 100?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:16 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 103*u**2 - 2284*u + 10212.\nAnswer: -(u - 74)*(u - 23)*(u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2186 and -2621665.\nAnswer: -2623851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 5.3. Let t = -1072 - -1072.5. Which is the second smallest value? (a) t (b) -5\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 366*q**2 - 4049*q + 227. Determine v(11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 + 46*b + 91. Let q be p(-9). Suppose 0 = 5*j - v - 34, -2*v - 21 = -3*j - 2. Calculate the highest common divisor of q and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(((-20)\/14)\/(715\/(-2002))))\/52\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*q + 2*q + 4*x, 4*x = -4*q + 8. Suppose -3*i - 2*i + 335 = q. What is the remainder when i is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28a919 (base 14) to base 8.\nAnswer: -5306153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 34, 768 in ascending order.\nAnswer: -5, 34, 768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 285 - 9. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 66\/12)\/((-1)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m. Let f(l) = -l + 8 + 0*l - 8. Determine f(k(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**9\/11760 - m**8\/15680 - m**7\/2940 + m**4\/2 + 3*m. Let w(n) be the third derivative of h(n). Find o, given that w(o) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*s + 3*s. Put -12, s, 2 in ascending order.\nAnswer: -12, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/333, -1, 0.023?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -3. Let m be (-3)\/p*(-80)\/(-4). Find the common denominator of ((-174)\/(-10))\/((-24)\/m) and 35\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 2*w**2 - 2*w + 1. Let y be r(1). Does 10 divide -3 + y + -2 - -15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.01166882 rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**(-4)*h*h))\/h)\/(h**(-2\/7)*h))**27 assuming h is positive.\nAnswer: h**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -77, -88, -113, -158, -229?\n\"Answer: -y**3 - y**2 - y - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-2)\/462*(-112)\/(-16).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*f = 21, -35 = -4*n - n + 3*f. Let b = 1 + n. Calculate the remainder when 39 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 15*q = 5*i + 201, 221 = -5*i + 4*q. Which is the second biggest value? (a) i (b) -2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33387 divided by 93.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 16*y**2 - 12*y + 3. Let r be j(-15). Let i be 48\/r - 1\/(-7). Let b be (4 + i - 1)*1. Solve 4 = -b*v + 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 279\/44 - 25\/4. Put 2, 5, h in descending order.\nAnswer: 5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1264 + 7583\/6. Suppose 6*m - 12 = -0. Which is the biggest value? (a) -0.8 (b) -4 (c) h (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18126 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/10 or 2\/37?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 140870227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.8 + 7.8. Let v = 6 - 11. Which is the closest to 0? (a) n (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10999930 divided by -11?\nAnswer: 10999930\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*h**4 - 80*h**3 + 16429*h**2?\nAnswer: 1104*h - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 789333113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 586872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - 1) + -11 - (0 + -20)) + 3 + 32\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2634 + 2008 = 237*q - 6971 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 6*v**2 + 6*v - 2. Let y be o(5). Suppose -y*s = s. Solve -4*t - 5*i - 5 = 0, s = -4*t - 4*i - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (305\/(-122))\/(5\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 3 + 3)*(-4*g**3 + 2*g**3 + 3*g**3 + (2*g**3 + g**3 - g**3)*(-1 + 3 - 1) - g**3 - 1 + 1).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18432864 to the power of 1\/2, to the nearest integer?\nAnswer: 4293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = 45*r - 50*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125366 - 0.3.\nAnswer: -125366.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 6*m + 3. Let b(q) = -5*q**2 + 16*q - 8. Suppose -5*f - 7 = 33. Let v(r) = f*k(r) - 3*b(r). Let a(u) = -55*u. Give a(v(t)).\nAnswer: 55*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-3*i + 5*i + 4*i)*(-7*i**3 - 447 + 447) + 8*i**4 - 3*i**3 + 3*i**3.\nAnswer: -34*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -11*l**3\/3 - 2. Let i(b) be the first derivative of 1 + 1\/2*b**2 + 0*b. What is i(a(z))?\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5065 + 5093. What is the highest common factor of f and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/v**(-5))\/(v**(-22)\/((v\/((v\/(v**(-1\/12)*v))\/v*v))\/v)) assuming v is positive.\nAnswer: v**(323\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 + 0 + -2 + 2. Let p be 4\/((-24)\/(-51))*k. Let a = -50 + p. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7013 and 11.\nAnswer: 77143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 275, 1210, 2797, 5054, 7999, 11650?\n\"Answer: 3*z**3 + 308*z**2 - 10*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1901506, 1901673, 1902126, 1903009, 1904466?\n\"Answer: 24*h**3 - h**2 + 2*h + 1901481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 0*t + 2*t + (83 - 83 + 20*t)*(0 - 3 + 1) in the form a + s*t and give s.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 3*z + 1. Suppose 0 = -5*m + 16 + 4, 3*t + m = -5. What is the least common multiple of b(t) and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-20) - 2\/(-10). Let b be -311*r\/(0 - -1). Let t = -1562\/5 - b. Find the common denominator of -32\/9 and t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -221, 0, -1, 2.\nAnswer: -221, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -27*i**2 + 5*i + 5. Let r(p) = 16*p - 2*p - 52*p**2 - 30*p**2 + 14. Let o(g) = -6*r(g) + 17*t(g). Is o(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/216 - 379\/(-27)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94467417 to the nearest integer?\nAnswer: 9719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3577 is divided by 1188?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 12:52 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14728*d**2*i + 23117644*d**2 - 2*d - 112*i with respect to i.\nAnswer: -14728*d**2 - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 485900 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(13\/4)*s)\/s*s**(9\/4)*(s**(-1\/3))**(-3\/8))**5)**28 assuming s is positive.\nAnswer: s**(1575\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, -1\/11, -13, -1\/6, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, u: 5}. Give prob of sequence ubu.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 5*d - 39, -36 = -135*g + 131*g - 4*d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 17702*j + 690384. Give v(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*f + 20. Suppose -2*i - f = -3*i. Solve -23 = -i*o + v, -4*o = -v + 5*v - 28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41006, 40978, 40950, 40922?\nAnswer: 40894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1111.73 * 4.\nAnswer: 4446.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3.3. Let d = 11.4 - 11.4. Sort d, 0.5, c in decreasing order.\nAnswer: 0.5, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**3\/11 + 168*u**2 + 41544*u\/11 + 6880 = 0.\nAnswer: -20, -2, 946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-29)\/(-754)*(-4)\/1. Let h = -64 + 67. What is the fourth smallest value in i, -0.06, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2 + 32*u - 24. Let l be d(10). Let t(z) = 925*z**2 - 3. Is t(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1234*j - 243541 - 348840 = 5926*j - 137257 for j.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -2\/3, -1\/283, 0.5, -0.3, 6\/31?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.337 - 8?\nAnswer: 29.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3228 - 2806 = -207*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -11*x**2 - 6*x + 6. Let p(l) = -7*l**2 + 5*l + 11*l**2 - 5 + 6*l**2. Let y(m) = 5*a(m) + 6*p(m). What is the remainder when 13 is divided by y(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179546 is divided by 21487.\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 31*l - 9. Give n(23).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 146545 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**8\/1260 + 2*p**7\/315 + p**6\/54 + p**5\/45 - p**3\/6 + 23*p**2. Let x(i) be the first derivative of o(i). Factor x(j).\nAnswer: 4*j*(j + 1)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 7, b: 1, v: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - 1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1187552 = -4*y - 4*y. Suppose -20*x = -y + 2784. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971111?\nAnswer: 971111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-39)\/130 + 1*126\/(-245)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 123?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 divided by 438933?\nAnswer: -370\/438933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0*m**3 + 0*m**2 + 22*m + 3 + 1\/12*m**4. Let p(a) = 2*a**2 - 13*a. Determine f(p(q)).\nAnswer: 4*q**4 - 52*q**3 + 169*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuxtututxttt. Give prob of picking 3 t.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 371 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32081.\nAnswer: 7, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -211101221 (base 3) to base 2\nAnswer: -11111111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -40*f + 199. Let s be g(7). Let c be s\/135 - (-44)\/(-10). Let n(q) = 9*q - 3. Let b(j) = 4*j - 1. Give c*b(i) + 2*n(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 13*j**2 - 40*j + 23. Let r be k(-7). Solve o = 5*q - 1 + r, o = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3\/28, 4, -3?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/93, 0.83, -33 in descending order.\nAnswer: 0.83, 2\/93, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l*n**2 - 1050*l*n - 2*n**3 + 505868*n**2 + 7139*n wrt n.\nAnswer: 2*l - 12*n + 1011736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/16 and -59\/68.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1079 and 3901?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 304, 294, 282, 268, 252?\n\"Answer: -k**2 - 7*k + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2 + 12. Let y be ((-3)\/(-4))\/(13\/(-2444)). Let d = 706\/5 + y. What is the nearest to h in 2, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 13*q - 6. Let a(l) = 7*l - 3. Let j(c) = 11*a(c) - 6*p(c). Let d be j(6). Is (-4 - d)\/((-2)\/78) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2\/2 + 2369732*o - 2807814875912 = 0.\nAnswer: 2369732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (84\/(-8))\/(-7)*2. Let o be -2*(x + -2) - -4. Let r(t) = 6*t - 5. Let m be r(o). What is the greatest common factor of m and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*k + 72*k + 10*k**3 - 5*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**4\/8 - 2*g**2. Let a be (-28)\/(-21) - ((-32)\/(-24))\/4. Give u(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 7\/2*t**2 - 5\/12*t**4 + t + 0 - 1\/20*t**5 + 4\/3*t**3. Let y = 4 - 10. Determine x(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (-24)\/9)\/((-1)\/18). What is the greatest common factor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869*o + 6*i - 24 = 871*o, 12 = -5*o + 5*i - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/12)\/((-1)\/3*1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-3))\/((-1400)\/1440))\/(18\/28).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**4 - 1144*s**3 - 230688*s**2 - 18503456*s - 428621152 = 0?\nAnswer: -178, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 10 + 0 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, 5, -4, 0, -3.\nAnswer: -168, -4, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*10\/4 - (-4 + -16 - -14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0. Suppose -3*p = 3*q - 43 - 65, 8 = 4*q. Suppose -179 = -l - 2*s - p, -s = -f. Calculate the greatest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-819)\/(-182) + 53\/2. Solve r - f = 1, -t*r - 4*f - 4 = -33*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 15*b**2 - 5*b = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 932 - 932. Let g(w) be the second derivative of -1\/100*w**5 + 12*w + 0*w**3 + 0 - 1\/60*w**4 + m*w**2. Factor g(l).\nAnswer: -l**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5. Let a be 0 - 4 - (-112)\/14. Suppose -16 = -2*y - 0*y. Solve a*o - 20 + y = d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p*p**(-3\/7))\/p))**(2\/43)*p**(-15)*p*p**(-1)*p)**(-1\/2) assuming p is positive.\nAnswer: p**(2104\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1346558 divided by 2\nAnswer: 673279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, -9 in ascending order.\nAnswer: -12, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*13 - (-28)\/56. Let b be ((-4)\/2)\/(-1 - a). Which is greater: 0.9 or b?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22, 18, -4, -56, -150, -298?\n\"Answer: -2*n**3 + 3*n**2 + n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 339*z - 22385. What is u(66)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241, 253, 267, 283?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.7357, 12\/11, -0.2?\nAnswer: -0.7357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**10\/105840 + u**9\/26460 - u**4\/8 + 2*u**2. Let a(q) be the second derivative of j(q). Solve a(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/21)\/(10\/(-70))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3.23 + 11\nAnswer: 7.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)*1 - 3*sqrt(72))*-3.\nAnswer: 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2955\/(-10)*2\/3. Let d be (-24010)\/5 - (2 + -1). Let p = d + n. Round p to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 336 (b) -2 (c) 0.4 (d) 1798 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)\/(sqrt(20)\/sqrt(5)))\/sqrt(4))**2*-4 - ((sqrt(65) + (-4*sqrt(65)*5 - sqrt(65) - sqrt(65)))\/sqrt(5) + 0).\nAnswer: -52 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 0, n - 21 = -4*i - 4 - 1 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 40. Let m(q) = 4*q + 170. Let z(a) = -17*j(a) + 4*m(a). Let t(n) = 1003*n. What is z(t(w))?\nAnswer: -1003*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (480\/250)\/(-6)*(-2)\/(-8)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -275 + 289 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2645652573.\nAnswer: 3, 347, 847151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42.065 + -0.065. Let t = u + -41.99209. Round t to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-12)\/(-10))\/(8\/(-20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34665 greater than 173328\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/177*(-32)\/112*1*(-14)\/(-16).\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w**2 + 3*w + 3. What is v(-4)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-42) + 4250\/(-875))\/(1\/(-14)*3)?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*m**5 + 2*m**4 - 295*m**3 + 9*m - 108.\nAnswer: 260*m**3 + 24*m**2 - 1770*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -509*b**2 + 906.\nAnswer: -1018*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 3*r**2 - 9*r - 227. Calculate c(-12).\nAnswer: -2279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 72*j - 880. Calculate l(-56).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3588 - 3589. Which is bigger: n or -2\/12589?\nAnswer: -2\/12589","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 23 = -3*x, l + 3*x = 2 - 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2083286767?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 3237*d - 3235*d + 62, t = -4*d - 4 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/4 - 17*h**3\/4 + 2910*h**2 - 148400*h + 2192000.\nAnswer: -(h - 40)**3*(h + 137)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b - 21. Let f be j(3). Solve f = 5*k + 3 + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 1:01 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 137543435011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 10*t**2 + 17*t - 15. Calculate p(10).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 26, 2, -19 in descending order.\nAnswer: 26, 2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*c**2 - 4*c**3 + 29*c**2 - 5*c**4 + 473 - 473 in the form r + w*c**2 + k*c**4 + h*c**3 + m*c and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 10) to base 5.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 1, v: 2, m: 1}. Give prob of picking 1 b and 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 6, 4*q - b = -2*b + 14. Let t = -4 - -3. List the prime factors of q - t*(2 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 0*y + 0*y + y + 19. Let q(s) = -2*s. Give q(j(m)).\nAnswer: -2*m - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171447 - 26*d - 342896 + 171449.\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944763 is divided by 285.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vls. Give prob of sequence vl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1777*k - 5. Let u(a) = -1186*a - 5. What is 7*u(l) - 5*y(l)?\nAnswer: 583*l - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3954*f**2*h*q**3 + 2*f**2*q**2 - 2486*f**2 - 3*f*h wrt q.\nAnswer: 23724*f**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 1 - (7 - 11)) + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1005 and -0.837?\nAnswer: 1004.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - p + 1. Suppose n - 2*d - 1 = 0, -1 + 3 = 3*n - 5*d. Let g(i) = -i - 7. Let s be g(-12). Let c(f) = 6*f**2 - 5*f + 5. What is n*c(o) + s*q(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11*h**3 + 5*h**2 + 3*h - 2. Is a(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9019 and 622?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 9*d - 21 = 0. Let a(t) = 79*t**2 - 6*t - 10. Let y be a(d). Suppose -2*n = -5*u + y, -n + 204 + 366 = 4*u. What are the prime factors of u?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38735, 38846, 38969, 39104?\n\"Answer: 6*v**2 + 93*v + 38636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28343, 28209, 28073, 27935, 27795?\nAnswer: 27653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 divided by 5?\nAnswer: 196\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63365*h + 190082*h - 63351*h - 63348*h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 168 - 170 = 4*a, 7 = 5*v - 3*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -1\/8*u**4 - 1\/10*u**5 + 0*u + 7\/6*u**3 + 0 - 2*u**2 - 1\/120*u**6. Let c be (-2 + -2 + -1)\/1. Give o(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 72 = -j. Suppose -5*h + 35 = 0, -h - 114 = 15*q - 931. What is the greatest common divisor of q and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 380\/117 - 16\/117. Which is bigger: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9279 - -9279. Which is smaller: -700 or m?\nAnswer: -700","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6. Suppose -3*k + 5*k - 6 = 0. Solve o + 0*o + k*h = 11, b = -o + h + 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a01 (base 15) in base 3?\nAnswer: -110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.8 + -32. What is the second biggest value in 11, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjiijjajiaijakjijj. Give prob of sequence ka.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**7\/560 + s**6\/80 - s**4\/4 - 5*s**3\/3 - 10. Let j(q) be the third derivative of r(q). What is f in j(f) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/11 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -20*q**2 - 2634*q - 1831. Calculate y(-131).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60*c**4 + 15 - 409*c**4 - 4 + 43 - 6 wrt c?\nAnswer: -1876*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*h + 3*h**2 + 24*h + 4 + 8 - 6*h**2.\nAnswer: -3*(h - 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2, 1\/7, -173, 3, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*w - 96. Let c = 50 + w. Suppose -c*a + 2*b - 2 = -88, -131 = -3*a + b. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycy when three letters picked without replacement from cyycycyycyycyccycccy?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1094)\/(-7) - (-2)\/(-7). Let g be (-1)\/(-2)*a\/3. Let d = 3009 - 2931. What is the greatest common divisor of g and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 4 (c) -3 (d) 0.0639 (e) -4 (f) -31 (g) -0.08\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u**(-1))\/(u**(-7)*u**(-3)) assuming u is positive.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 228*q**2 + 1148*q + 1398. Give h(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 317534 (base 8) in base 15?\nAnswer: 2178c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -669, -653, -611, -531, -401, -209, 57, 409?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -4*j + 9768. What are the prime factors of j?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000408107 to 6 dps.\nAnswer: -0.000408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9\/2)*c)\/(c\/c**(-5)))**(-25\/2)*(c**1*(((c*(c\/((c\/(c*c**(-2)))\/c))\/c)\/c*c)\/c*c)\/c)**(-30) assuming c is positive.\nAnswer: c**(475\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 50827752253.9 and -0.2.\nAnswer: 50827752253.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(2598\/(-9) - 4). Let l = q + -37. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (2 + -2 - 2). Let p = 1499 - 1497. Let 2\/3*w**p - 2\/3*w**4 - 2\/3*w**3 + 2\/3*w + z = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1272 + -996.8. Let u = l - 275. Which is the closest to 0? (a) 0.3 (b) -2\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/4 + 6\/8. Let m be 0\/(4\/(-2 - g)). Suppose m = 4*c - 7512 + 1152. Round c to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2721? (a) 0.5 (b) -945 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 - -0.94. Let s = -6830 + 6830. Which is the fourth biggest value? (a) 1\/5 (b) 2 (c) s (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1842304\/(-2101378)*(-2)\/64.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198293, 793172, 1784639, 3172694, 4957337, 7138568?\nAnswer: 9716387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-14898 + 28*f - 14896 + 29796)*(-5*f**3 + 4*f**3 - 2*f**3).\nAnswer: -168*f**4 - 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 217\/(-105) + (-4)\/(-10).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6293148 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-675)\/405)\/((-20)\/(-192)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efgvvfggfv. What is prob of sequence vgv?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2*l - 2 + 44205*l**2 - 2*l.\nAnswer: 44205*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {u: 1, o: 3, q: 3, j: 2, t: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 287197659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-90)\/(-40) - 6\/(-8). Suppose 5*t - 4 = h*v, -2*t - 12 = -7*t - v. Factor -2\/9*i**t + 2\/9 + 0*i.\nAnswer: -2*(i - 1)*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*n + 3*r - 5, -2*n + 4*r = -4. Solve 9 = 5*t - 2*i, n + 10 = 2*t + 2*i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 104 = -4*l, 2*l - 3*h = h + 40. Suppose 6*c = -l*c + 2448. 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: What is the remainder when 424995 is divided by 115?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 4:35 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s**2 + 9*s. Suppose 19 = d - 4*z + 25, -7*d + 5*z = -27. Calculate q(d).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9158 + 144779 = 2*j - g, -5*j + 5*g = -384850. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from {k: 1, w: 1, m: 2, b: 2, y: 1, q: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 610046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -5. Suppose -4*q + 9*q = a. Let y = q + 20. What is the remainder when y is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}