diff --git "a/data/dm_maths/full_data_1/1324_11255.jsonl" "b/data/dm_maths/full_data_1/1324_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1324_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a(s) = 6*s**2 - s - 10. Is a(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3752 times -184\nAnswer: -690368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -153, -234, -317, -402?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69 and 142897?\nAnswer: 9859893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -0.725?\nAnswer: -0.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19427892.3 rounded to the nearest 100000?\nAnswer: 19400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1441702913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1870 and 14138410?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -489, 2, 1, -31\/3, 5 in increasing order.\nAnswer: -489, -31\/3, 1, 1.2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 18 + 22. Factor 2\/7*w**4 + 0*w - 2\/7*w**2 - 2\/7*w**3 + 2\/7*w**f + 0.\nAnswer: 2*w**2*(w - 1)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 144?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 + 86*o**3 - 448*o**2 + 634*o - 273.\nAnswer: (o - 3)*(o - 1)**2*(o + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 472 and 15834.\nAnswer: 7473648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-210)\/(-28))\/3)\/(3 - 102\/144).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((5 - -6) + (-8 - -2) - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 218, 1227, 3736, 8423, 15966, 27043?\n\"Answer: 113*n**3 + 72*n**2 + 2*n + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (3 - (0 + (-1 - -4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143*-31.278.\nAnswer: 4472.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142 - -159. Suppose 8 = 19*j - s*j. Solve j*i - 17 = -q, -q = 4*q + 4*i - 37 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from vvtvtvvtvvvtvvvtvt.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1378\/2067)\/((-20)\/186)\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4028, -4006, -3970, -3920, -3856, -3778, -3686?\n\"Answer: 7*l**2 + l - 4036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n - 9. Let q be a(9). Suppose -5*u - 4*u = -q. Sort -1, u, 4.\nAnswer: -1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(153) + -3 - sqrt(153)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010000202 (base 3) to base 12.\nAnswer: 2b548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 170, -0.06, -434 in increasing order.\nAnswer: -434, -0.06, 4, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -0.0441, -0.3, -0.068?\nAnswer: -0.0441","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.036 - -8.864. Let u = -9 + f. Sort 0, u, -0.5 in increasing order.\nAnswer: -0.5, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/55 + (-50)\/(-11). Suppose 0 = -x*f - 3*j + 8, -4*f = 24*j - 20*j - 8. Let m = -7 + 10. Solve m*s + f*t = t + 6, -5*s - 4*t + 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + r - 14 = 0. Let b(v) = -3*v**2 + 2*v - 5. Let q(d) = d**2 - d + 2. What is r*b(n) + 5*q(n)?\nAnswer: -n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61061 + -5?\nAnswer: -61066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 + -103. Is 3\/32 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 387 + -387. Let s be 46\/46 + a + 5. Solve 6*p + s + 0 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/4)*d\/(d\/(d**(-31)*d)))**34 assuming d is positive.\nAnswer: d**(-1955\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674864?\nAnswer: 2, 42179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -90\/36473?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 63*b - 29*b - 19*b - 17*b. Let q(g) = g + 10. What is q(m(f))?\nAnswer: -2*f + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 - -5926.\nAnswer: 5925.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**5*p*p**(-10) assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -1\/6*h**4 + 0*h**2 - 2*h + 0*h**3 - 2. Let z(j) = -7*j**2. Give v(z(d)).\nAnswer: -98*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -67 times -8115\nAnswer: 543705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 4*y = -11*c + 44, 7*c - y + 29 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428850185, -857700371, -1286550557, -1715400743, -2144250929, -2573101115?\nAnswer: -3001951301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2436 + 7386 = -225*b for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13541?\nAnswer: 11, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m**2 + 15*m**2 + 81 + 20*m**2.\nAnswer: 5*m**2 + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 2*l - 6. Let n(w) = -4*w**2 + 2*w + 11. Let j(k) = 3*n(k) + 5*s(k). Let z(a) = a**2 + 3*a - 2. What is -3*j(r) - 4*z(r)?\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -22*o**5 + 32*o**4 + 22*o**3 - 22*o**2 + 6*o - 2. Let r(h) = -2*h**5 + h**4 + h - 1. Let w(g) = 2*f(g) - 4*r(g). Find m, given that w(m) = 0.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 2*j**4 + 0*j + (-1 + 2*j + 1 - 5*j + 2*j + j + (2 - 1 - 3)*(0*j + j + 0*j) + 3 - j - 3)*(-4*j**3 - 20*j + 20*j).\nAnswer: 14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 283203163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 9:49 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8250 is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 3\/(3\/(-200)). Suppose 5 = c + 3. Suppose c*r - 18 = 22. Calculate the greatest common factor of r and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**3 - 2*g**2 + 4*g - 1. Let z be w(1). Put 0, z, -2, 3 in decreasing order.\nAnswer: z, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11 + 17 + m**3 + 21 - 15 + 12*m**2 + 46*m + 3*m**2. What is g(-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -13, 98, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*x = -200, -5*f + 8*f + 4*x = 134. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -11825?\nAnswer: -11822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 5. Suppose 2*c + c = 9. Suppose -c*x + 21 = -6*x. Let z = 4 + x. Let i(b) = -b - 3. Give z*g(w) - 5*i(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -18. Suppose 0 = w*n - 19*n + 13. Solve -18 + 38 + n*j + 5*j**2 + 12*j = 0 for j.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from {p: 3, w: 5, h: 2, b: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6116*j - 171251. What is l(28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38 and -132.\nAnswer: 5016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7972 != 184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 4)*(-2 - 2 + 2)*(b - 2*b - b).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1002970 by -200594.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 5*c - 3. Let u be h(-6). Suppose u*w = -2*w - 20, -2*w = g + 8. Let j(f) = g*f - 2*f - 3*f**2 + 2 + 2*f**2 - 4. Calculate j(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Suppose 0 = 6*s - 22 + 4. Solve -t + 4*m = 18, -m + p = -s*t + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjmmttpptjp. Give prob of sequence pm.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*w + w + 0*w)*(-5*w - 9*w - 3*w) - 2*w**2 - 1 + 1 + 0*w**2 + 5*w**2 - 3*w**2)*(3*w**2 - 2*w**2 + w**2).\nAnswer: -102*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/3*z + 5 + 5\/3*z**2.\nAnswer: 5*(z + 1)*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y + 2. Let m be -2816*(875\/y)\/7. What is m rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47645156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -62*(1 + 3)\/(-2). Calculate the highest common divisor of k and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 456c - -1?\nAnswer: 456d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*g + 371 - 56 = -93*g - 115 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3 + 5 + (sqrt(539)*1 - sqrt(539)))*-1*-3 + -3)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 7*b - 82232688. Let k = b - -13416344. Round k to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**2\/5 + 11646*t\/5 - 11649\/5 = 0.\nAnswer: -3883, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (41\/(-3))\/((-3)\/81). Let p = 368 - k. Let l(r) = -14*r**2 + 1 - 1. Calculate l(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 8*u - 3. Let p be r(-8). Suppose -27*x = 3*y - 28*x + 17, -4 = -2*x. Sort p, 4, y.\nAnswer: y, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-107*u**2 + 110*u**2 - u - 4*u)*(-u + u + 3*u)*(3 + 9*u - 3) to a*u**4 + i + k*u + m*u**2 + z*u**3 and give z.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*m*v**3 + m*v**2 + 5*m*v + 235*m - 21*v**3 + 4*v**2 - 5*v wrt v?\nAnswer: -180*m*v + 2*m - 126*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 13*s**2 + 6*s - 20. What is the hundreds digit of z(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1724*z - 1411*z + 554*z to y + c*z and give c.\nAnswer: -2581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 18*y + 146. Let k be t(-8). What is the tens digit of -239*(26\/39)\/(k\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**3\/3 + 4*l**2 - 8*l + 151. Give p(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 5. Let t = -6.2 + u. Which is the closest to t? (a) 3 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + (-20)\/(-25))*(0 + -13625)\/1. Are n and -10900 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -82071, -161088, -240105, -319122, -398139?\n\"Answer: -79017*b - 3054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/(((-4)\/6)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m + 1. Let j(l) = 6*l - 2. Let x(o) = 2*j(o) + 3*s(o). Let y be x(-1). Suppose -2*z = -9 - y. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 4*s - s**2 - 259 - 12*s.\nAnswer: -2*s**2 - 16*s - 259","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4688735.8 rounded to the nearest one thousand?\nAnswer: -4689000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 546?\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2734 equal to -0.001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 683 - -377. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = 5*d + p + 94, 176 = 2*d + 2*p. Let f be -2 + d\/8*20. Calculate the greatest common divisor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 - 17*g - 52\/3.\nAnswer: (g - 52)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 460243 + -998243. Round v to the nearest ten thousand.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 + 3*r**2 + 5*r + 2. Let y be u(-2). Calculate the greatest common factor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.6 + 34. Let q = 8 - 3. Let r = b + q. Sort r, -1, -0.3 in descending order.\nAnswer: r, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-9) - 1524\/(-108). Let x(n) = n**2 - 16*n - 54. Let b be x(19). Solve 2*d - 12 = 4*h, 3*d + b = -h - g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 5:58 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 19 = -5. Suppose 4*n + 8 = -3*q, 2*n = u*q - n + 15. Let g be 1*(0 + 1 + -1). Do g and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 3*l**2 - l + 2. Suppose 5*t = -4*h + 59, -4*h + 4*t = -0*t - 104. Let r = 23 - h. Calculate s(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39140 bigger than -39148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, f: 8, u: 4, i: 1, x: 2}. Give prob of picking 2 f.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 2*n**2 - 12*n - 3. Let k be (-4)\/20 - (31\/(-5) - -1). Let z be h(k). Suppose -z = v - 14. Solve 0 = -5*d - v*i + 17, 3*d = d - 4*i - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 268417744.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10617464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6929 is divided by 496?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-40))\/((8\/4)\/2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2479, -2, -7, -4, 1, 3, 0 in ascending order.\nAnswer: -7, -4, -2, 0, 1, 3, 2479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 281 + -49. Suppose -k = -7*y + 3*y. What are the prime factors of y?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 40*h**2 - 6*h + 259. Is 5 a factor of b(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5cb - -b?\nAnswer: 5d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(2\/(1 - -1)). Let f = -5.2449 + 0.2449. What is the second biggest value in 2, b, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -648856 and -26?\nAnswer: 16870256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -p - 6, -212*p + 217*p - 69 = -6*c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -220 + 19. Let v = -16 - g. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w - 5*w + w. Let q(r) be the second derivative of r**6\/360 - r**4\/12 + 2*r. Let l(x) be the third derivative of q(x). What is n(l(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -501 - -845. What is the greatest common factor of u and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -43*w + 0*w**4 - 5\/6*w**6 + 0*w**3 + 0*w**5 + 13*w**2 + 0. What is the first derivative of k(m) wrt m?\nAnswer: -100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.006 (c) 0.5 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10438 is divided by 1739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30\/1939 + 49691\/3337019. Is 1 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*k = -28, 418 = 2*o - 5*k + 384. What is the highest common factor of 6372 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91471 and 102432?\nAnswer: 96593376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, -1, 3 in increasing order.\nAnswer: -91, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n + 10. Let a be v(-6). Suppose -a - 52 = 2*x. What is the least common multiple of 20 and (x\/(-4))\/(3\/12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -11. Let l = -2 - 6. Let w = l + 2. Is a less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*j - 14*j + 19*j)*(-5 + 5 - j + (-2 + 4 - 5)*(4*j - 4*j - 2*j) - 2*j + 0*j + 5*j + 2 + (-3*j + j + 3*j)*(1 + 5 - 4)).\nAnswer: 160*j**2 + 32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9)\/((-2)\/12*-68)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**2 + 450*b + 3003 = 0.\nAnswer: -143, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + q + 3)*(0*q + 18*q - q) + 32*q - 32*q - 5 + 2*q**2.\nAnswer: 19*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 255518721.82638 + -255521296. Let t = -2483.175 - b. Let f = t - 91. What is f rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 1)\/((-8)\/(816\/(-9))). Which is greater: -36 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**6\/10 - 13*p**5\/20 - 97*p**3\/2 - 261*p. Find the second derivative of c(a) wrt a.\nAnswer: 36*a**2 - 78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30061084.\nAnswer: 2, 421, 17851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 113?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2693331 to the nearest integer?\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 509181*3\nAnswer: 1527543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-41)\/(-106)*8 + -3. Let r = -2163\/106 - q. What is the common denominator of r and -79\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*s**3 - 11533785*s**2 + 193751712*s - 813734964 = 0. What is s?\nAnswer: 42\/5, 153767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**4\/12 + 5*w**3\/6 - 2*w**2 + 27*w. Let m be n(2). Solve 16 = 3*v - 2*z + m, 10 = 3*v + 2*z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 293 + -114. Let z = a + -179.00000153. What is z rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41237 times -2.68\nAnswer: -110515.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12198\/963)\/(((-4)\/(-10))\/(27\/15)). Are u and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*u**4 + 95*u**3 - 55*u**2 - 20*u.\nAnswer: -5*u*(u - 4)*(u - 1)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) 5 (c) -0.04 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/5)*a**(1\/7) assuming a is positive.\nAnswer: a**(26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -795 - 3?\nAnswer: -798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -302, -101, 92, 271, 430, 563, 664, 727?\n\"Answer: -c**3 + 2*c**2 + 202*c - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-17))**(10\/9) assuming h is positive.\nAnswer: h**(-170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5635885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x**3 - 22*x**3 + 37*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1161 - 6233 = -92*d - 25*d + 1714 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*t - 48 = 4*t, 4*r + 3*t = 64. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**5*i)\/((i**(1\/7)\/i)\/i))**(-32) assuming i is positive.\nAnswer: i**(-1984\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 10*a**3 - 9*a**3 - 2*a.\nAnswer: a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 9*g**2 + 7*g - 8. Let x be n(-8). Let y be 1\/(-2)*(-96 + x). Let k = y + -45. Solve 0 = -4*l - 4*c - 20, k*c + 25 = l - 2*c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/73, -1072, -0.5, 1\/2, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 10 = 5*y. Let i(g) = g**2 - 3*g + 4*g**2 + 2*g - 4*g**2 - 1. Let c be i(-1). Solve y*r - c = 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170193 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4.22\nAnswer: 3.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -23 (c) 19 (d) -0.8 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + j + 2. Let f be d(0). Suppose 4*p = q + 10, -3*p = f*q - q - 11. Suppose -2*h - z + 125 = -q*z, -2*h + 100 = 4*z. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(2 + (-9)\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7148 + 7152. Which is the closest to 2\/5? (a) t (b) 2 (c) -3.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 100539.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 10 - (-12 + (3 + 3 - 10))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010010001011 (base 2) in base 15?\nAnswer: -3ebb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 336\/5 + -67. Let x(h) be the first derivative of 4\/9*h**3 - 2\/3*h**4 + 0*h**2 + 0*h + j*h**5 - 1. Factor x(b).\nAnswer: b**2*(b - 2)*(3*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1312 + 5*f**2 + 3*f**2 - 1312 to the form w*f + q + c*f**2 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7\/7*(-35)\/7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.092 - 0.278. Let k = u - -0.47. What is the second biggest value in -5, k, 3\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29\/23 in -1\/4, -2\/7, -6\/7, -4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.8 + -12.9. Let i = -5 - -7. Put i, y, 1 in decreasing order.\nAnswer: i, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w - 17. Let v(c) = c - 1. Let a(n) = 6*v(n) - z(n). What is a(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 394, 3226, 10924, 25924, 50662, 87574, 139096, 207664?\n\"Answer: 406*m**3 - 3*m**2 - m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p + 87 = -39*p. Calculate the smallest common multiple of p and 9.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 172225*l**2\/3 + 1660*l\/3 + 4\/3 = 0?\nAnswer: -2\/415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12220011 (base 3) to base 2.\nAnswer: -1000011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*v**2 - 11393737*v + 102186 = 0. Calculate v.\nAnswer: -51093, 2\/223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 11 - 2. Let l = o - -8. Suppose 3*f + 2*f = -l. Is -1 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -38\/17239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8904?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/52 and -7\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6372)\/(-25488) + (4 - 6)\/(((-16)\/(-474))\/1)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25055854 is divided by 1608.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**3 + 2*t**3 + 2*t**3)*(-16043 - 409*t + 16043) to the form g*t + v*t**3 + x + z*t**2 + l*t**4 and give l.\nAnswer: -818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*4 + -10 + 10. Suppose -2*r + 8 = 5*m, 0 = -k*m + 2*r + 3 - 11. Solve 5*b - 15 = -m*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d. Let s(i) = 4*i + 2 + 6*i + 3*i**2 - 2*i**2. Let k be s(-10). Let w(f) = -5*f + 2*f + k*f. Determine w(b(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24868 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.4 + 7. Let w = 1.99 + 0.01. What is the second smallest value in s, w, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536662001 to the power of 1\/3, to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 minus -96327.045?\nAnswer: 96325.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, -0.4, -28.81, -81?\nAnswer: -28.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) -2 (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 364\/95, -3\/7, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13863, 13870, 13881, 13896, 13915, 13938, 13965?\nAnswer: 13996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 911517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*x + 103*x + 49*x + 76*x - x**2 to p*x**2 + o + i*x and give i.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 17*i + 20. Suppose 2*n + 2*z - 5*z = -41, 4*z + 36 = -3*n. Let k be r(n). Suppose k*h - 66 + 170 = 0. Round h to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -411981, 20, 0 in ascending order.\nAnswer: -411981, 0, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 188.8866 + -253.88752. Let w = 65 + d. Round w to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 65*g - 6 + 98*g + 124.\nAnswer: 33*g + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556773 is divided by 3437?\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.178200983 rounded to 5 dps?\nAnswer: 0.1782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/6695539 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 4. Let s(o) = -3*o + 9. Let g(y) = 3*s(y) - 5*t(y). Let n(z) = z**3 + 5*z**2 + 2*z - 4. What is the remainder when n(-4) is divided by g(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -2960592, 0.1 in descending order.\nAnswer: 2, 0.1, -2, -2960592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20444044 (base 5) to base 3\nAnswer: -22201122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Let j(p) = -p**3 + 5*p**2 - 2. Let u be j(5). Let w(a) = a**2 + a + 3. Let o be w(u). Let g(b) = 2*b + b - o*b. Give g(n(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((-2*sqrt(88) - sqrt(88))\/sqrt(8) - sqrt(11))*2 + 1 + sqrt(99)\/(sqrt(27)\/(-1*sqrt(3)))*-1)**2.\nAnswer: -14*sqrt(11) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**3*j**4 - 502*d**3*j**3 + 8732*d**3 + d wrt j.\nAnswer: 16*d**3*j**3 - 1506*d**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -1, -0.02423, 1, -0.2, 0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**3 - 3*f**2 + 3*f + 1. Let w(k) = 2*k**3 + 2*k**2 - 2*k. Determine 3*m(a) + 5*w(a).\nAnswer: -2*a**3 + a**2 - a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/8 and 74\/2455005.\nAnswer: 19640040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**4 - 21*w**4 + 5*w**4 + (-3 + 1 + 1)*(-405*w**2 - 36*w**4 + 405*w**2) - 2*w**4 - 3 + 3.\nAnswer: 23*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 14\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4949.7 - -9.\nAnswer: -4940.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 + b**2 - 766*b**4 - 761*b**4 + 1522*b**4 + b**3 as m*b + h*b**4 + s*b**2 + p*b**3 + l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**4\/4 + 10*w**3\/3 + w**2 + 16*w + 2. Let b be h(11). Let g = b - -174. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15945173687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 62*n + 64*n - 3*n**3 - 4 - 2 to l*n**3 + h + j*n**2 + s*n and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*6*(-8)\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1461 and -108?\nAnswer: -157788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((-1 - -5)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54904 is divided by 18298?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2680 divided by 4\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= -2\/27033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25393.8 - 19123. Let v = g + -6311.859. Let z = -41 - v. What is z rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14181.7 * 0.4\nAnswer: -5672.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6336 and 101808256?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*b = 131*b - 234 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1 = 4. Let q be (-196)\/(-10) + 2\/5. Suppose 0 = -5*i + 5*g + q, -5*i - 5*g + 21 = -39. What is the remainder when i is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.10697698 rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/27 - 47\/(-9). Let p = 5 - 0. Suppose 37*z = 17*z + 40. Solve -3*r - p = -u*s + r, 2 = z*s - 2*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 1\/4 (c) -4\/9 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**7\/42 - p**6\/8 + 5*p**4\/6 - 13*p**2. Solve j(g) = 0 for g.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -45, -324, 218 in decreasing order.\nAnswer: 218, -5, -45, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -98e - -8?\nAnswer: -986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-2))\/(4*3\/24). Solve -b*z + z = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1696 or -27139\/16?\nAnswer: -1696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - x = 7, 4*i = 8*i - 3*x - 26. Let a be 0 + -2 + 3 - -2. Solve -a*o - i = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/32)*f*f**26)\/(f**(3\/8)\/f**(-33)) assuming f is positive.\nAnswer: f**(-173\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(2)*-2 - sqrt(2)) + 4 - (-3 + 2*sqrt(2))) + -3)**2 + (sqrt(12)\/sqrt(2)*4)\/(1*sqrt(147)).\nAnswer: 4*sqrt(2)\/7 + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23832925.13 - -0.1.\nAnswer: -23832925.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 + 936*g**3 + 0*g**2 + 53 + 924*g**3 - 1858*g**3.\nAnswer: 2*g**3 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3203 - 467 = 2*c. Suppose 5*a = -2*g - 3412, -4*g = -0*a + 2*a + c. Is a\/(-8) - (-5)\/(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88.3 + -93.3. What is the nearest to -0.13 in 1, -0.3, z, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 4*a**4 + 3*a**2 - 2*a**2 + 1 + 0*a**2 + 5*a**3 to the form k*a**4 + l + w*a**2 + m*a + j*a**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 11659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*f = 3*f + 11, -2*f = 3*k - 2. Let y be k\/(-10) + (-51)\/(-15). Solve 8 = -z + y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 51 + 3 = 0. Find the second derivative of 8 - 13*m + 121*m**2 - 8 + l*m**2 wrt m.\nAnswer: 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110000733 is divided by 63?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/187810 and -89\/187810.\nAnswer: 187810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -144215900 to the nearest one hundred thousand.\nAnswer: -144200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 - 206 = -8*q. What is the remainder when q is divided by 33 + (7\/(-2) - 4\/8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f**2 + 2*f**2 - 5*f**2)*(6 - 16 + 15)*(-2 + 0 - 5) as y*f**2 + w + m*f and give y.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 156 - 90 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -76355 + 76369 + 0*m + 2*m. Suppose 0 = 4*d + d + 50. Give h(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 196*y + 2522. Give f(-12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, p: 1, r: 1, s: 2, j: 2}. Give prob of sequence sj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16616 + 17392. What is the smallest common multiple of 4 and d?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 579504 + -7?\nAnswer: 579497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 5*x**2 - 6*x - 6. Let h be j(-6). Let k(q) = q**2 - 8. Let t be k(h). Suppose -2*p - 8 + t = 0. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -180*o**3 - 505*o**2 - 570528?\nAnswer: -540*o**2 - 1010*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58934, 125227, 191522, 257819, 324118, 390419, 456722?\n\"Answer: j**2 + 66290*j - 7357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03637 + -0.036379443. Round v to seven decimal places.\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(1463\/(-22)))\/(12\/18)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 187479536 to the power of 1\/3, to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -123613 + -2?\nAnswer: -123615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -463, -428, -391, -352?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -11*z**2. Let a(l) = 3*l**2. Let x(r) = -26*a(r) - 6*y(r). Calculate x(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r + 14. Determine z(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p = 20. Let n be (-9 + p)\/((-1)\/(-5)). Solve -3*c + 4*o - 26 = 0, 4*c - o + n = -8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -469 (b) -11 (c) 4 (d) 0.2 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 - 166 = -63*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2902480, 5805051, 8707624, 11610199, 14512776, 17415355?\n\"Answer: t**2 + 2902568*t - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/414 - (-2)\/(-120)*2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 90? (a) 0.07866 (b) -0.6 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 6*t - 2. Let u be b(-5). What is the highest common factor of 5 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**4\/4 + 5*w**3\/3 + w**2\/2 - 4*w + 166. What is v(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1)\/(-1 + 0) + 0. Suppose r = -20*d + 5*d + 45. Which is bigger: 17\/4 or d?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 1\/3, -0.327 in decreasing order.\nAnswer: 109, 1\/3, -0.327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -127*p**2\/2 + 6*p + 74. Is u(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.51 + 0.51. Let f = -36 - z. Let h = 36.25 + f. Round h to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(13) + -2))**2 + (-2 + 2*sqrt(13))**2 + (-2 + sqrt(1053) - (4 + -3 + sqrt(13))).\nAnswer: -36*sqrt(13) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2230 (base 4) to base 10.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1)*126\/3. Let f = 9 - -5. What is the highest common factor of f and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5926.976 kilometers to nanometers.\nAnswer: 5926976000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 3*n + 5*n - 1. Let v be ((-3)\/(18\/4))\/(108\/(-162)). Let w(f) = 4 - 7 - 5 + 5*f. Determine v*w(i) - 6*c(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*p - 3*p + p)*(2 + 1 - 1) + 0*p - 5*p + 4*p - 6*p - 168 + 168)*(0 - 6 + 4)*(-1 + 1 - 2)*(3*p - 2*p - 5*p) to m + h*p + r*p**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 312\/8*2\/((-4)\/6). Let g = -115 - y. Solve 2*l - 20 = -g*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*b**2 - 12*b**2 - 61*b**2)*(-6 + 4 + 3) + (3 + 0 - 1)*(11*b - 8*b**2 - 11*b).\nAnswer: -101*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 71*h - 13. Let q(g) = 36*g - 12. Let m(n) = 36*n - 13. Let v(j) = -5*m(j) + 6*q(j). Let i(z) = -3*d(z) + 5*v(z). Is i(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 - 4*r + 2. Let v be f(-2). Which is bigger: v or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, a: 3, n: 1, v: 3, g: 2}. Give prob of picking 1 a, 1 o, and 1 g.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -103. Suppose -16 = h*l - 27*l. Let c(r) = -r**3 - r**2 + r + 12. Let y be c(0). Calculate the greatest common divisor of l and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-56)\/532 - 72\/399) + 267\/28 and 21\/26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20513, -19924, -18297, -15110, -9841?\nAnswer: -1968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102644, 410586, 923824, 1642358, 2566188, 3695314?\nAnswer: 5029736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from hhhhxhhxxh.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5192 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 558*x + 9 - 16)*(-4*x - x + 3*x - x - 1 + 1 + (-3*x + 4*x - 3*x)*(-4 + 4 - 1)) as q + g*x + y*x**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 4272*v**3 + 17025*v**2 + 21300*v.\nAnswer: 3*v*(v - 1420)*(v - 5)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*h - 2, -5*l + 76*h - 81*h + 10 = 0. Let y be (6 - (-1 - 1))\/45. Is y bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-44660)\/6)\/(-58) - 55. Factor 152\/3 - 4*i**2 + g*i.\nAnswer: -4*(i - 19)*(3*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2050612932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (498 - 1131 - 461 - 1617)*(-y + 0*y - y) to the form r*y + z and give r.\nAnswer: 5422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 552\/(-15)*(-8 + 3). Suppose 2*j - 36 = j + 4*x, q = 4*j + 4*x. Is 30 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (42 + 2)\/((-1)\/1). Let h be 33\/(-44) - 25\/t. Is h less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -386, -804, -1220, -1634, -2046, -2456?\n\"Answer: z**2 - 421*z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-180)\/(-28)))\/((-3794)\/(-16260))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + a - 18 = 0, 2*h = 3*a - 2 + 3. Solve 3*w - 26 = -4*s, s = 3*w + 2*w - h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1 + 288\/(-287))\/(498\/(-1743))?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1)\/2*-962 - -3 and 16?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189724161 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-9)\/(-6))\/((-6)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49215920*h + 55079834.\nAnswer: -49215920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(490)*-3 - sqrt(490))*-3)\/((sqrt(200)*-1*6 + sqrt(200) - sqrt(200)) + sqrt(200)).\nAnswer: -42*sqrt(5)\/25 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -875, -939, -1003, -1067?\n\"Answer: -64*c - 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 197 + 190 - 391. Give p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 20, 47*q - 1373 = 45*q + x. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*o + 143*o - 263 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/4)\/(12\/(-48)). Suppose -177*i + 179*i = 16. Is y greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.99 - 0.01. Let p be 6\/(-2) - (1 + -2). Let l(j) = -2*j - 1. Let i be l(p). Which is the nearest to -2\/3? (a) z (b) -3\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*q - 3*x, -5*q + x - 5*x = -31. Let u(v) = 2*v - 9. Determine u(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548*h + 274*h + 273*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*p**2 + 2*h**3*p*t - 757*h**3*t + 787*h**2*p*t + h*p**2 - 20*h*t wrt h.\nAnswer: -12*p**2 + 12*p*t - 4542*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 451985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 19026*v - 30165723.\nAnswer: -3*(v + 3171)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/55 - 150\/11. Let z = x - -1637\/120. Is 2 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p**2 - 3*p. Let o(x) = 7*x**2 + 3*x. Let y(n) = 6*j(n) + 7*o(n). What is the remainder when y(-4) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3079082 is divided by 1539538.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28404*a**2 - 28370*a**2 + 85113*a**2 - 28424*a**2.\nAnswer: -85*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2336 - 2336 - 114*t**2)*(4*t - 3*t - 4*t) + 13*t**3 + 5*t**3 - 4*t**3 + t**3 + 2*t - 2*t to the form k*t**3 + n + u*t**2 + z*t and give k.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5853 and -0.1.\nAnswer: 0.15853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -130? (a) 1 (b) -1\/3 (c) -2 (d) -0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6692386514 minus 0.4?\nAnswer: -6692386514.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12)*w\/w**3*w*w**(-1\/4)\/w)\/((w**3\/w**3)\/w**36) assuming w is positive.\nAnswer: w**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -1059832\/5 + 210489. Let j = -1469 - f. Which is smaller: 9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + k + 2*k + (18*k + 31*k - 8*k)*(4 - 3 + 0).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8*q + 3. Let t be i(6). Suppose -5*w = -11 - 104. Suppose -3*a - t = -5*m - 7*a, -4*a = m - w. Solve -15 = -2*j + m*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*c + 30 = 0, 2*c = -3*u - u + 162. Suppose 5*b - 20 = 0, 8*r + 4*b + u = 3*r. What is the nearest to r in -5, 2\/7, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2 - 312*f + 9292 = 0. Calculate f.\nAnswer: -101, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*f + 4 = 104*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 28*r**2 + 1052. Let c(w) = 23*w**2 + 1053. What is 6*c(u) - 5*z(u)?\nAnswer: -2*u**2 + 1058","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7315 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 9:42 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 558495.257 to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-39)*(-33)\/44*-3*1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -250*m + 3670378 + 1198872. What are the prime factors of m?\nAnswer: 19477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14192 and 3.\nAnswer: 14195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 9:53 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -11711*i + 130018. Calculate d(11).\nAnswer: 1197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -k - 12, 4*k - 23*j + 3 = -22*j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14044, -56136, -126276, -224464, -350700, -504984, -687316?\nAnswer: -897696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-9))\/(4\/(-36)). Let x(f) = -f**3 + 5*f**2 - 3*f - 2. Let h be x(l). Suppose -g + 57 + h = 0. What is the remainder when g is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -12*w - 7. Let u be k(-1). Suppose 4*q - 276 = 3*p, 84 = 2*q - u*p - 68. What are the prime factors of q?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwe when three letters picked without replacement from {w: 1, m: 1, g: 3, e: 5}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*q = -44*q - 53*q - 28*q + 10920 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110106.\nAnswer: 2, 3, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (11 - (-4 + -3 + 8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1394936960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -87*j - 431. Let k be q(-5). Solve 2*o - 7*a = -2*a - 8, -k*o - a - 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -1. Suppose 4*x + n = 4*i, -x + 6 = -5*i - 1. Let w be i\/6 + 44\/24. Is w bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341859 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -38.8. What is the closest to a in 3\/7, 4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4 - 10*s**4 - 4*s**2 - s + 2*s**4 - 1282*s**3 + 2564*s**3 - 1281*s**3 in the form v*s**2 + p*s**3 + q + z*s**4 + k*s and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(((x**(-7)\/x)\/x)\/x*x*x)\/x)\/(x\/((x*x**(-5\/4))\/x)*x)*(x*(x**11*x*x*x)\/x)**(-5\/6) assuming x is positive.\nAnswer: x**(-263\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8.4, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.313 - -4.313. Which is the closest to -2\/97? (a) -4 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8446 is divided by 842?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 666323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7)*b\/b**(-15) assuming b is positive.\nAnswer: b**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8998 - 8996.2. What is the nearest to -1 in 4, 5, h, 10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhl when three letters picked without replacement from sekhkhlhkkl.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93607840 - -11.3.\nAnswer: -93607828.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 1. Let n(a) = 7*a + 10. Let r(u) = -6*j(u) + n(u). What are the prime factors of r(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6932994ml to litres.\nAnswer: 0.0006932994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3389 and 0.4.\nAnswer: 3389.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/780*13*(-1)\/(-4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -20 + 6. Let s(g) = g**3 - 3*g**2 - 7*g - 1. Let f be s(5). Factor f*p**4 - 8*p**5 + p**4 + 36*p**5 - t*p**4.\nAnswer: 4*p**4*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1329199, -1, -0.5?\nAnswer: -1329199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + -4*sqrt(78)*-4 + sqrt(78) + -5*(sqrt(78) - sqrt(78)*1))\/(-6*sqrt(96)*2*-4).\nAnswer: 3*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0*d + 4\/3*d**3 + 7*d**2 + 0 - 5\/24*d**4. Find the first derivative of l(c) wrt c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y = 6 - 206. Solve -d + 5*k = d - y, -3*d - 2*k + 12 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12458888.\nAnswer: 2, 13, 119797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7554*l**3 - 24*l**2 + 6*l + 483. Let t(w) = 5*w**3 + 4*w**2 - w - 2. Let h(q) = i(q) + 6*t(q). Differentiate h(y) wrt y.\nAnswer: -22572*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -2368 - 548. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 0. Let q = -35 + y. What is the remainder when 29 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 310 and 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1619461 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17 + 63)*12\/(-88) + 7 + 0. Factor -2\/11*w**2 - 6\/11 + a*w.\nAnswer: -2*(w - 3)*(w - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:28 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a9186 (base 12) to base 10.\nAnswer: 1218486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13872, -13852, -13826, -13788, -13732, -13652, -13542?\n\"Answer: r**3 - 3*r**2 + 22*r - 13892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -8 + 8 - (1 + -3 + 8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2755*u**3 + 10*u**2 + 5. Let f(c) = 2756*c**3 + 12*c**2 + 6. Determine -5*f(y) + 6*s(y).\nAnswer: 2750*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/4)\/((-2)\/(-88)*22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-10)*b**10)**(-1\/31)*b*b*b**7*b*b\/(((b*b**(2\/19)*b)\/b)\/b)*b\/b**4*b*b**1 assuming b is positive.\nAnswer: b**(5809\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -3)**2*-6 + 5.\nAnswer: -457 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2041598 and 136617.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 26\/22 + 3328\/(-16731). Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222686?\nAnswer: 2, 23, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -489?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/5 + 0 - 23\/115. Which is greater: o or 1\/72?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 4*y - 1\/45*y**5 + 0*y**2 + 1\/54*y**4 - 1\/135*y**6 - 2 + 2\/27*y**3. Let b(t) be the first derivative of s(t). Factor b(g).\nAnswer: -2*g*(g - 1)*(g + 1)*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + (-413)\/(-28))\/(-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 + 0*k**3 - k**4)*(-5 + 3 + 4) + 2*k**4 - 2*k**4 + k**4 - k**4 - 4*k + 4*k + (1 - 1 + 2*k**3)*(-k + 0*k + 0*k).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2827\/3990 + -167\/3990. Determine u, given that 26\/3*u + n*u**3 - 28\/3*u**2 + 0 = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.2, 4, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -1.588.\nAnswer: -11.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8770)\/47358)\/((-25)\/(-6)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*d + v + 5 = -287*d, -d + 4*v = -2. Let w(z) = 52*z**2 + 5*z. Let j(h) = 53*h**2 + 6*h. What is d*w(c) - 5*j(c)?\nAnswer: 47*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 + 161*s - 673. Let b be o(5). Calculate the greatest common factor of b and 1349.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + 1 + sqrt(637) + 4 + sqrt(637)*-1 + 1 + sqrt(637) + 0 + -3 + -1*sqrt(637) + 4)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((510\/17)\/(-15))\/(4\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - 3) - (6 - 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 621.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.914892 litres?\nAnswer: 9914.892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 95*v - 91*v. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283000, 566056, 849186, 1132426, 1415812, 1699380, 1983166?\nAnswer: 2267206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21234238*a - 42468474*a + 21234236*a + 15*a**2 - 16*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -877 + 877. What is the nearest to 4 in -10, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.4, 66.6, 7 in decreasing order.\nAnswer: 66.6, 7, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**2 - 12*p - 61. Let d be r(-5). Let l = d - -1662\/11. Calculate the common denominator of l and 9\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276 = 88*b - 76 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*l**2 + 513 - 2092 + 31*l**2 - 58*l**2.\nAnswer: -105*l**2 - 1579","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*m + 2*m = 126, -3*j - 2*m + 93 = 0. Solve 0 = -a - j + 30 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -4, 6*t + 3*c + 10578 = 10614 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = -5*z + 8*p + 757, 4*z = -p + 617. Let t = -47 + 78. Calculate the highest common divisor of t and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, f: 9}. Give prob of picking 3 f.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1177*m - 115383 + 227429 = -1918*m - 154124 for m.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2106, -2098, -2086, -2070, -2050, -2026?\n\"Answer: 2*s**2 + 2*s - 2110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -5, -2\/9, -2, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31, 100, 225, 412, 667, 996, 1405, 1900?\n\"Answer: f**3 + 22*f**2 - 4*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least as big as 313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)*c)**43*(c*c**(-2\/7))**27*(c\/(c*c**(-2\/11))*c**(-5)*c)**(-44) assuming c is positive.\nAnswer: c**(4234\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614 is divided by 273.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + -0.77. Let q = -0.08 - 0.12. Let i = p + q. Which is smaller: i or 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -12*a + 4*a**2 - 9*a - 13*a + 32*a. Let n be s(1). Suppose -n*c - 4*p + 406 = 0, 5*c + 3*p - 653 = 369. Does 41 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 + 234. Suppose 3*a - p - 196 = 0. Suppose a = -9*d + 14*d. What is the greatest common divisor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2514*f + f**2 + 5005*f - 2496*f.\nAnswer: f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + b - 1. Let i(f) = f**3 - f**2 - f - 1. Suppose y - 2 = -1. Calculate y*i(q) + z(q).\nAnswer: q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*f + 3*f = 20, 4*h - 10 = -3*f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2030*s - 466901. What is t(230)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 + p - 4)*(10 + 70 + 17) + p - p - p - 3*p + p + 4*p + (2 + 2 - 5)*(-4*p + 2*p + p) + p + 0*p + p)*(-2*p + 0*p + 0*p) as w*p**2 + k + j*p and give w.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/((-6)\/(-45)*3). Suppose -4*o + 2*x = -b + 5, -2*o = 4*x - 30. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m**3 - 2*m**3 + 2*m**3)*((-1 - 1 + 3)*(7 + 16 + 37) + (0 + 4 - 1)*(-3 + 3 - 5)) as z*m**3 + v*m**2 + k + o*m and give z.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 20 = -4*s. Let t be (-566)\/s - (-2)\/15. Let p = -14 + t. Solve p*i = 4*i + g - 4, 0 = -g - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j - 2*j)*(3 - 2 + 1)*(3 - 4 + 3).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**4\/12 - x**3\/6 + x**2\/2 - x - 1. Let b(f) = -3*f**3 - 5*f**2 - 6*f + 7. Give b(g) - 6*i(g).\nAnswer: -3*g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 + 6 + -3 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839868 is divided by 740.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 36 + 23)*(2*d - 5 + 5)*(3 - 4 + 2).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 477516183 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + sqrt(125)).\nAnswer: 4 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + (1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -616849.\nAnswer: 10\/616849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -212.96 take away -0.2597?\nAnswer: -212.7003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 15, -19 = -p - 3*p - 5*b. Suppose -4*s + 41 = p. 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: 0.159 times -0.05701\nAnswer: -0.00906459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(450)*-2)\/((sqrt(126)\/(sqrt(7)*2))\/sqrt(2)))**2.\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (5 + (sqrt(343) - (3*sqrt(343) + sqrt(343) - sqrt(343)))**2 + -2)*2.\nAnswer: 2750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 27. Suppose 33*s + 12 = w*s. What are the prime factors of (-3)\/s*-87*(-2)\/3?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13067 divided by -73?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - 7*o - 6 + 5*o + (-1 - 1 + 0)*(-2*o - 7*o + o).\nAnswer: 18*o - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 724? (a) -20\/9 (b) -2\/7 (c) -2\/9 (d) -330\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, t: 1}. What is prob of sequence st?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 9 = -2*p - 3*t, -3*t + 6 = 3*p. Suppose -i + 4*i - 2 = 5*v, 0 = i - p*v + 2. Suppose i = 2*j - 6. What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002031211894 rounded to 6 dps?\nAnswer: -0.000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (6 - 1) + -3. Suppose -i = -b, -5*b = -6*a + a + 45. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 6*w + 2. Let m be d(-6). Suppose -m*j + 4*j = 3*a - 134, a - 4*j - 48 = 0. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -313686*r**3 + 313682*r**3 + 3*r**2 + 2 - 148 - r**2 to x + k*r**2 + l*r**3 + z*r and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1080\/(-30))\/(-36)*(-2)\/(1*-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4366368*i**2 - 13024*i + 50 wrt i?\nAnswer: -8732736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -171, -390, -619, -858?\n\"Answer: -5*m**2 - 204*m + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 18*v + 13*v - 2003*v**2 - 33*v + 329*v**2 - 2506*v**2 in the form q + h*v + f*v**2 and give f.\nAnswer: -4180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0512 - -413.0512. Let h = 413.5 - q. What is the second biggest value in -22, h, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - 4.99. Let d = 5 - 4. What is the closest to 0 in o, d, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(9\/((-45)\/10) + 9*35). Which is the fifth biggest value? (a) -2 (b) -1 (c) -4 (d) u (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64527583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009463424 to seven dps.\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*n = 3480, 3*u - u + 5*n = 2345. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 2 - 5 + 5. Let v(o) = o - 1. What is -4*v(m) + y(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-1584))\/((-12)\/240).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 183 + 0?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3811 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2. Let i(m) = -m**3 - 2*m**2. Let b = -47 + 43. Let g(w) = b*i(w) - 7*z(w). What is the third derivative of g(a) wrt a?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 968925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20c494c + -9?\nAnswer: -20c4955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (117\/221)\/((-518)\/(-42)). Is -1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 8 + 20. Find the third derivative of -8*r**2 + 5*r**2 + 24*r**2 + 6*r**w wrt r.\nAnswer: 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(468) + sqrt(468) + sqrt(468)*-1)**2)*1 + 0.\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1126*a**2*s**3 - 5*a**2*s**2 - 6*a**2*s + a*s - 64*s**3 + 648 wrt a?\nAnswer: -2252*s**3 - 10*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0, -8, 3, -0.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10732\/(-342) + 12\/54. Let d = x + 31. Which is bigger: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 8. What is the smallest common multiple of n\/(-10)*-2*-16 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3. Let g be i(2). Let n(m) = 4*m**3 - 5*m**3 - 5 + 4 - g*m**2. Let d be n(-8). Let p(s) = 2*s**3 + s. Give p(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3042434578 - -3042434762.00000242. Let n = p + -184. Round n to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 6)*(2 - 1 - 2)*(-705*s**4 - 628*s**4 + 1558*s**4 - 2*s**3).\nAnswer: -450*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1032102 (base 4) to base 15\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4173*f + 28 = 4175*f, -2*t - 5*f = -30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.69 * 5\nAnswer: -3.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 921888*z**2 + 921827*z**2 - 2765596*z**2 + 921884*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 12. Let s be h(-11). Is (-418)\/(-1)*s\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10316471 to the nearest integer?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -0.7 (c) -0.4 (d) -5 (e) 4 (f) 1\/7 (g) 617\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50257856 and 1408?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 2.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 256643 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 15*x**2 - 6*x + 11. Determine l(-16).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 62 = 6*h + i + 54, -34*i - 32 = 2*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68510 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -1\/2*z**2 + 1 - 7*z. Let h = -1 - -1. What is j(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -826389*v**2. Let y(f) = 8*f. Determine y(d(a)).\nAnswer: -6611112*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/9486 and 49\/6.\nAnswer: 9486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 17. Let q be m(13). Let y = 9 + q. Suppose 2*x - 4 = -h, y*x = 2*x + 4*h + 28. Are x and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 8*s + 3. Let y(u) = -3*u + 11. Let p(t) = -8*t + 34. Let b(q) = 6*p(q) - 17*y(q). Let o be b(-6). Let h = 6 + o. Give k(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v - v**2 - v**2 - 9214 + 12*v - 5*v.\nAnswer: -2*v**2 + v - 9214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6833248599 - 6833248875.2156727. Let i = m - -0.0146727. Let r = i + 276. What is r rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -146, -112 in decreasing order.\nAnswer: 9, 0, -112, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 11 = 4*n, -n - 4*k - 2 + 3 = 0. What is the common denominator of ((-2)\/n)\/((-400)\/204) and -2\/45?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:26 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*s - 12, 3*s - s = 5*t - 16. What is the first derivative of 7*o - 62*o + 13*o - t*o - 34 wrt o?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -23. Suppose 38752 = -w*k - 32748. Round k to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(33)\/sqrt(3).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-36))\/((-256)\/1536)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 10200211122?\nAnswer: 10200211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16848 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, u: 5}. Give prob of sequence uuuu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (144\/256)\/((-8)\/32 + 1). Let o = 0.9 - 0.4. Let u = -0.03 + -0.37. Put q, -0.3, o, u in decreasing order.\nAnswer: q, o, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2060*-680\nAnswer: -1400800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 = 0, -14 = -4*l - 0*u + 2*u. Let s be 10\/15 - (-7)\/l. Solve i - 2*a + 8 = 0, 4*i + 7 = 5*i + s*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, -33, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3986*l + 243136. What is n(61)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111522823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -21.99962. What is g rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 38, 3 in ascending order.\nAnswer: -5, 3, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/4312*-42)\/(((-72)\/(-64))\/(-3))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**3 + 7*k**2 - 845*k - 8516. Determine p(-10).\nAnswer: 5634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2334653 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.17, 1, 56, -2?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1700*v - 71. Is w(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -359*y**2 - 298 - 530 - 1026 + 1889*y**2 wrt y?\nAnswer: 3060*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10723 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 318.99999482 + -319. Round r to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -24. Suppose 4*f - 3 = -2*n - 7, 3*n - 3 = -3*f. What is the nearest to 1 in o, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 6 + 6. Let w = 4784 - 4785. What is the smallest value in w, -98, m?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 1\/5 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l + 0*l)*(-15*l + 13*l + 1 + 2).\nAnswer: -2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcrl when four letters picked without replacement from {r: 9, l: 1, c: 1, d: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/3 and 6\/27*174\/16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -0.2, 2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 5*h - 330. What is the highest common divisor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2162?\nAnswer: -2162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 6*f - 0. Suppose -3*o = 3*n, o = -n + 2*o + f. Calculate the greatest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**20\/s**11)\/(s**(-10)*s)**(5\/9) assuming s is positive.\nAnswer: s**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -39002, -3, 1 in increasing order.\nAnswer: -39002, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 2. Let w = 38 + -44. Let y be 0 - ((-36)\/(-21) - w\/21). What is t(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 13 = z - 0, -5*z + 4*o + 59 = 0. Solve -3*v = z, 33*n = 31*n + 4*v + 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1913*d**3 - 933*d**3 + 1258*d**3)*(3 + 1 - 2).\nAnswer: 4476*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85643.\nAnswer: 85643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/5 - 1056\/(-15). Let u be -7*(28\/i - 8\/(-5)). Let z(t) = -t**2 - 14. Let x be z(0). Are u and x unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-5))\/((-9)\/(-120)). Let c = -16815 + 16795. Which is greater: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**5\/20 - 430*y**2. Let g(m) = 597*m. Calculate g(w(v)).\nAnswer: 1791*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 8*m - 2. Do m and -3\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from {l: 3, n: 4, h: 9}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/1*(-28)\/6. Let t be ((-4)\/10)\/(w\/(-21)). Let m be ((-2)\/3)\/(-5 - -3). What is the second biggest value in t, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 16 + 52 = 0. Let h(u) = -6*u**2 + 4*u - 2. Let f(w) = -5*w**2 + 3*w - 2. Calculate m*f(q) + 3*h(q).\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 16*h**3 + 3*h**2\/2 - 9*h - 179. What are the prime factors of o(5)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**4\/24 + 11*h**3\/6 - 4*h**2. Let a be v(-6). Solve 5*i + a*t = -10, 0 = -5*i + 2*i + 4*t - 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 3*a**8\/56 + a**4\/4 + 4*a - 2. Let w(z) be the first derivative of h(z). What is the third derivative of w(s) wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/15)\/14*39*3\/3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 14*y + 2. Let l be n(-14). Suppose 2*r + 29 = 3*g, g - 35 = -l*g - r. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.789 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 + 3 + -22 + 23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*t**3 + (3 + 17*t - 3)*(1 - 1 - 2*t)*(3 - 3 - t)*(-5 + 3 + 6).\nAnswer: 138*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23972, 23973, 23974, 23975, 23976?\n\"Answer: z + 23971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-1)\/7*17. What is the second smallest value in -2\/5, -0.3, 0, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 332105542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knkouaonkkokkk. What is prob of picking 1 k and 1 o?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 22 - 55)*(0*z + 0*z + 4*z**2) to a*z**2 + c + v*z and give a.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*y - 5 - 20, -5*y + 45 = -4*t. Solve y = 4*r - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -16. What is the highest common divisor of h and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*w - 17, 5*f - 2 - 2 = 2*w. Find the third derivative of 3*j**2 - 24*j**4 - 8*j**3 + 8*j**3 + 12*j**f wrt j.\nAnswer: -576*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(4 - 4 - r) - 36*r + 28*r + 15*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 - 5. What is the common denominator of c\/12 - (5 - 5) and 13\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - ((-14 - 1) + 34 + -11)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0077666 - 0.113.\nAnswer: -0.1207666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6449829?\nAnswer: 3, 31, 223, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-12))\/((-704)\/(-6336)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r*(r*r\/((((r\/(r**7\/r*r))\/r)\/r)\/r))\/r*r)\/r)\/r)*r)\/(r\/(r\/(r\/(r*r**(-3\/5))))))\/(r**(-2\/3))**(2\/53) assuming r is positive.\nAnswer: r**(-6817\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -437 + 437. Suppose g = -138*l + 135*l + 27291. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence waew when four letters picked without replacement from {w: 3, e: 6, a: 8}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -17*p**4\/4 + 5*p**3\/3 - 1. What is the third derivative of s(u) wrt u?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/9)\/(2\/(-6)). Solve 10 = -w*x + 7*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48315 rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4142*r + 8296*r - 4127*r - 2.\nAnswer: 27*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1*(-1)\/14*(-20)\/(-30).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1 - 25*j + 3*j + 13*j + 10*j. Let t(f) = 3*f + 11. What is -2*o(w) + t(w)?\nAnswer: w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.05995964 - -4795\nAnswer: 4795.05995964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 257 = -5*l - 250, -4*l + 3 = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1244616 (base 10) to base 7\nAnswer: -13402422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/6))**(-3\/5) assuming a is positive.\nAnswer: 1\/sqrt(a)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1276 = -208*d - 804 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + r + 1. Let v = 14 - 10. Let n be v\/14 - 24\/(-14). Let a(l) = -6*l**2 + 5*l + 6. Give n*a(z) - 10*g(z).\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 984486404 and 7645.\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 15 = 3*n, 0 = 5*n - 3*y - 0*y - 11. Suppose -n*i + 199 - 1095 = -2*q, -5*q - 2*i = -2192. Is q a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3009990, 6019978, 9029964, 12039948, 15049930, 18059910, 21069888?\nAnswer: 24079864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 13605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20123010302 - 11?\nAnswer: 20123010231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 2*h**2 - h - 2. Let q be z(3). Let v = 2.23 - 0.23. What is the third biggest value in q, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w**2 + 6*w**2 + 8*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16591.67 + 16484. Let n = x + 107. Round n to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 3}. What is prob of sequence aa?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 6. What is the first derivative of -1 + 4*d**3 + j*d - 2 - 3*d wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3)*a\/a**0)\/((a\/((a**(1\/2)*a*a)\/a*a))\/(a\/a**(-7))))**32 assuming a is positive.\nAnswer: a**(1072\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 2.482\nAnswer: 0.7446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*s, -24975*s + 1 = -4*k - 24972*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 24*b**2 + 23*b - 25. Give z(-23).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**3\/2 + 3319*d**2 + 79390*d + 145508 = 0.\nAnswer: -6614, -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*(sqrt(17)*2)**2 + sqrt(17) - (-2 + (sqrt(34)\/sqrt(2))**2)) - (sqrt(170)*2*-5)\/(sqrt(90)*-1).\nAnswer: 5*sqrt(17)\/3 + 265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**4 - 1. Let x(j) = -7*j**4 - 18. Let f(z) = v(z) + x(z). Find the first derivative of f(t) wrt t.\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(5\/2)\/((k\/(k**(-8)*k))\/k))\/(k*k*k*k*k**(-3))**(15\/11))**15)**(-49) assuming k is positive.\nAnswer: k**(94815\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 2. Let z be (1 - 2) + 3 + -5. Let r(s) = -7*s - 3. Let d(b) = 3*b + 1. Let q(g) = 5*d(g) + 2*r(g). Give z*c(n) + 4*q(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -26. Suppose 314 = 2*q + p*u, -3*u - 101 = -q + 47. What are the prime factors of q?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 52 - 20. Calculate the greatest common divisor of o and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 5*u - 2*q, 0 = u - q. Let o be 7\/(-3) + (-1)\/(-3). Let f be (2 + -4)\/(-2) - o. Solve u + f = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3807 - -3799. Let o(m) = 9*m**3 - 5*m**2 - 5*m - 20. Let t(c) = -3*c**3 + 2*c**2 + 2*c + 7. Calculate w*t(r) - 3*o(r).\nAnswer: -3*r**3 - r**2 - r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/10272 and 23\/51360.\nAnswer: 51360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*g, -14*n + 18*n - 4158 = 3*g. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 1. Let d(q) = 27*q + 16. Give -2*d(k) + 6*j(k).\nAnswer: -60*k - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/152)\/(-5 - -343). Which is bigger: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 9 = -4*o, -5*o - 2*y - 3*y = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/(35\/(-39)))\/((-3)\/90). Let o be (-31)\/(-6) - 39\/f. Sort o, 11, -2 in descending order.\nAnswer: 11, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/4 (b) 0 (c) 4 (d) -2734\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -93*a - 26. Let k(p) = 100*p + 27. What is -5*g(b) - 4*k(b)?\nAnswer: 65*b + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (41\/(-2))\/(((-6909)\/(-3453) + -2)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(-6))\/((-26)\/(-2496)*16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -6. Solve c = -k - k + g, -15 = 5*g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*q = 8421, -4*t + q - 8427 = t. Sort 3, t, -4 in descending order.\nAnswer: 3, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74440\/3061377 - -1\/10593. Is 0 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.2, 0.4, 13738 in descending order.\nAnswer: 13738, 3\/4, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 8) to base 2\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*48\/252*-12. Sort 5, s, 0, 2 in descending order.\nAnswer: 5, 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99350 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11020111 + 1?\nAnswer: -11020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 5*m**2 - 4*m + 4. Let g be s(-5). Suppose -c + g = 13. Let u = 239 + -162. What is the highest common divisor of c and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*k - 233*k = -96. Calculate the least common multiple of k and 94.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 12. Let b(s) = s**2 + 6*s. Let a be b(m). Let x(k) = 4*k + 1. Let o be x(0). Sort o, -13, a.\nAnswer: -13, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3462 - 3461. Let x be (-1)\/1*(-2)\/(-10). What is the nearest to -1\/2 in r, 1\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -576350 at most -1152701\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2 - 119*i - 78 = 0.\nAnswer: -39, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10980515, 10980536, 10980557, 10980578, 10980599?\n\"Answer: 21*a + 10980494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 0*h**3 + 2*h**4)*(7*h + 14*h + 19*h).\nAnswer: 80*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4733.23ng to kilograms.\nAnswer: 0.00000000473323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*u + 56, 3*y + 3*u - 8 = 16. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3084+31579.524\nAnswer: 28495.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 747565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3 - 278*q**2 + 9520*q + 9800 = 0.\nAnswer: -1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/7)*l*l**(-9)*l)\/(l*l\/(l*l**(-10\/3))*l\/((l*l**(-2\/9))\/l*l)) assuming l is positive.\nAnswer: l**(-701\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 883 + -879. Let n = -496\/7 + 71. What is the closest to n in y, 0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13864 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: Let i(q) = -12*q**2 - 9*q + 10. Let p = 5 - -4. Suppose -p*n = -n + 32. Let s(z) = -z**2 - z + 1. Let x(k) = n*i(k) + 44*s(k). Factor x(r).\nAnswer: 4*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-70 + 200*f + 70)*(1 + 2 + 4)*(4 + 1 - 1).\nAnswer: -5600*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + ((-2*sqrt(140) + sqrt(140))\/sqrt(10))\/sqrt(7))**2 + (-4*(sqrt(882) - (-5 + sqrt(882) + (sqrt(882) + -1 - sqrt(882)) + sqrt(882))))**2.\nAnswer: -4068*sqrt(2) + 14754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*j = 6*o + 4, 0 = j. Sort -5, o, 108 in descending order.\nAnswer: 108, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 195 - 175. What is the least common multiple of 224 and o?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**4\/6 - 19*f**3\/6 + 2*f**2 - 3*f. Is a(-8) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/177 - 23\/3363. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-10)\/(-8))\/((-30)\/(-480))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**3 - 7*q**2 - q - 2. Let i(j) = 2 + 8*j**3 + 3 - j**3 + 13*j**2 + 2*j. Let g(f) = 3*i(f) + 5*z(f). Give g(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -453 - -454. Let u be (-7 + s)*(1617 - -8). What is u rounded to the nearest one hundred?\nAnswer: -9800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/264 and -97\/1254?\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 438919244?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbbcccikjb. What is prob of sequence kj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -0.5, -3, -1, -2.44, -62?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5500*m + 6298*m - 6075*m)*((-3 + 1 + 0)*(-1 + 2 + 0) + 4 - 4 + 1) as q*m + w and give q.\nAnswer: -5723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10531 is divided by 479.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 11) to base 6.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 207, -5991, -51 in ascending order.\nAnswer: -5991, -51, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41830265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10089*v**3*z + 2*v**3 + 16*v**2*z + v**2 - v*z + 166*v + 5*z - 23 wrt v?\nAnswer: -60534*v*z + 12*v + 32*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5\/3, -6, 0.2, 79.13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2808, -5578, -8360, -11160, -13984, -16838?\n\"Answer: -j**3 - 2763*j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 + 93 = -b. Let o be b\/(-15) - 2\/(-3). Suppose d - o + 4 = 0. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 12:32 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(3*r**2 - 5*r**2 - 3*r**2 + (2*r + 3*r - 3*r)*(r + 0*r + 2*r) + 8*r**2 - r**2 + 5 + 0*r**2).\nAnswer: 8*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcccccoccwcocccclcc. What is prob of sequence ol?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-16))\/(15\/300)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 829, -16, 0, -5 in descending order.\nAnswer: 829, 0, -1, -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 31 + 16 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000 - 101?\nAnswer: -1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 13*n + 280 = 0. Suppose -4*u - 2*x + n = -1, -u - x + 8 = 0. Let z = u - -36. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 86 + 334. Let i = s - -120. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 9*o**2 + 453*o - 4629. What is j(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5, -2\/3, 1\/4.\nAnswer: -2\/3, 0.1, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9 = -3*r + 4*r, 4*g = 5*r - 3. What is the lowest common multiple of g\/((3 + 1)\/4) and (2 + 10\/(-2))*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 - 33 = 2*q. Suppose -2*y + 5*k = -q, -4*y + 37 = y + 4*k. What is the highest common divisor of y and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1346304 and 3.34.\nAnswer: 4496655.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109369 and 25051.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -7. Let i = -82 + 86. What is the second biggest value in i, h, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -223*v - 80. Is u(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -402 or -1\/2?\nAnswer: -402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(9\/7)\/(b\/(b*b**24)) assuming b is positive.\nAnswer: b**(177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -221?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 + 86*i + 34. Let c be w(29). Let h be (3 + -1 + 1)*(c - 4). Solve 4*g - r = h*r + 8, -2*g - r = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2221 is divided by 740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 20, -2*k - 28 = -3*g - g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 3*t - 30. Let i(k) = -k - 8. Let f be i(t). Let a be f\/(-4) - (-135)\/(-230). Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189234.651 rounded to the nearest 1000?\nAnswer: -189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 18 = 0. What is the remainder when 10 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -232 and 10684?\nAnswer: -2478688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*h**3 + 83 - 83.\nAnswer: -31*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/8 - 14*s**2 + 227*s\/8 - 57\/4.\nAnswer: -(s - 1)**2*(s + 114)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159359, -318723, -478087?\nAnswer: -637451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/2 - 92*n**3 - n**2\/2 + 92*n.\nAnswer: n*(n - 184)*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 211775 and 1059950.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -3)\/(2 - 4). Let g(t) be the first derivative of -t**2 + k*t**4 - 1 + 0*t + 0*t**3 - 2\/5*t**5. Find the second derivative of g(v) wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 3, -555, 5, 32 in ascending order.\nAnswer: -555, -4, -1, 3, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350453583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 291?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a**2 + 85*a + 2575. Give b(-11).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 88?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27422 (base 9) to base 13.\nAnswer: -85b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*18*(-300)\/270\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5377*r**2 + 52920 wrt r?\nAnswer: 10754*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/449554 and -101\/9504856.\nAnswer: 66533992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*-10*(-22)\/(-880). Sort -17, 10, v, 3 in ascending order.\nAnswer: -17, v, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - k**2 - k - 72. Let w be m(0). Let d = -50 - w. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3)*(-124)\/(-217)*-203*1\/4\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0057790674 to 5 decimal places.\nAnswer: 0.00578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131085 and 675.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36847409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 9:22 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 26*r - 18. Let b be u(7). What is the derivative of b + 409*d + 382*d - 621*d wrt d?\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (389*n - 187*n - 185*n - 7)*(2*n - 2*n - 6*n).\nAnswer: -102*n**2 + 42*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, 10, 51, 118, 217?\n\"Answer: g**3 + 4*g**2 + 2*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68605534.\nAnswer: 2, 34302767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -106\/9*g + 140\/3 - 14\/3*g**2.\nAnswer: -2*(3*g + 14)*(7*g - 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/84 and -2\/11.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77443*c**4*d - 52*c**3 + 6676227*c*d wrt c.\nAnswer: -929316*c**2*d - 312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -162?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 4)*(-c + 2 - 2) + 4*c - 4*c + c)*(-14 + 14 - 7*c).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 7:06 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1047 divide 120856257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-8)*66\/55)\/(78\/(-104))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/8 and -71\/66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 + -1. Let z = 15 - 61\/4. Let q = 1.3 - 1.2. What is the nearest to y in 0, z, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 13*n**2 - 12*n + 8. Let p be t(12). Suppose 0 = -2*b - 10, -p = o - 3*b - 32. What is the least common multiple of 2 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/1581 and 79\/629238?\nAnswer: 629238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 9234904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24142466605 plus 3091?\nAnswer: 3090.75857533395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 597484669 plus 4?\nAnswer: 597484673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 5*o - 126. Suppose -13*l - 4 = -o*l. What is the least common multiple of l and (-4 - -5)\/((-2)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*r + 631 = 0, -72 = 3*b - r - 2005. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5824 and 4704?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 479170 - 26349417\/55. Let i = -911\/10 + y. Let d = 1970\/19 - 49225\/494. Calculate the common denominator of i and d.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 12:52 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c - 76. Let h(l) = 2*l + 82. Determine -7*h(y) - 6*q(y).\nAnswer: -2*y - 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -345208.3767.\nAnswer: 345194.3767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2484 divide 4838638876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 i, 1 y, and 1 x when four letters picked without replacement from dxxidixyyyx.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.07 (b) 0 (c) 4375\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1*-6*4\/6*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 l when three letters picked without replacement from nlnknnllnllznnrrrkna.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**5\/20 + 7*p**4\/12 - p**3\/3 - 5*p**2\/2 - 30*p + 57. Let g(q) be the first derivative of c(q). Calculate g(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -15. Let j = k + -7. Let h = 6.2 + -6. Which is the third smallest value? (a) -4 (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 171.4 to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000040158784 to seven dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 17875*t + 322081. What is x(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + 0 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 3712.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 19339?\nAnswer: -34\/19339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + v + 552. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, -1, 5 in ascending order.\nAnswer: -3, -1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 827*r**2 - 881*r**2 - 1250*r + 23*r**5 - 28*r**5 wrt r.\nAnswer: -100*r**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64800 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5601 and 2466307?\nAnswer: 7398921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**5 - 15*q**4 - 21*q**3 + 71*q**2 - 40*q + 11. Let y(h) = h**5 + 3*h**4 + 4*h**3 - 14*h**2 + 8*h - 2. Let m(s) = -2*c(s) - 11*y(s). Factor m(n).\nAnswer: n*(n - 2)**2*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 117. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 - 11*r + 9. Suppose -2*x + 14 = -0*x. Let c be z(x). Round c to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9349239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6527 is divided by 142?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 11*o**2 + 9*o + 27. Determine a(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -11 + 0*o + o**2 + 3*o**2 + 4*o. Let g(h) = 3*h**2 + 3*h - 7. Suppose k = -3*k - 20. Let z(d) = k*x(d) + 7*g(d). Give z(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mesyh. Give prob of picking 1 s and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*f + 11 = 0, 15 = z - 3*f - 3. Let w = 1 + z. Solve -w*o + 3 + 1 = 0, 0 = -2*j - o - 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:08 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -5, 10\/3, 11, -0.01, -4\/3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 532 and 6.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -43631770 divided by -26?\nAnswer: 1678145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 9*b**2 + 3*b + 25. Suppose -3834 = 88*z + 40*z + 298*z. Give h(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 352 + -89. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -34. Suppose 0*p + 3*p = 3*u + 492, 5*p + z*u = 838. Let g = 309 - p. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53816076 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 6*a. Suppose -9 = -3*r + 12. Let g be c(r). Let m(x) = x**2 - 5*x + 1. What is the units digit of m(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + l + 1971 = 0, 2*t - 2787 - 1156 = l. List the prime factors of t.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0338 - -0.033588. Round z to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615246192 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0591054782 and -1?\nAnswer: 0.9408945218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r. Let b(x) = -x + 2. Determine b(s(m)).\nAnswer: 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 794 - 167. Which is bigger: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - t + 80 = 3*t, -3*t = -2*u + 25. Calculate the remainder when u is divided by 3\/(-3)*2 + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = 24*u - 305 + 112 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 + 2.92. Let v = 3.6 - u. Which is the second smallest value? (a) v (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 69 + 9 + -7 + -3. Which is greater: x or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 0 (b) -40 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40589*f - 40601*f + 121786*f - 40582*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zznn when four letters picked without replacement from iiiiiinziniiziiin.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from npnxnxpnx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 27 = 5*o - 60, -4*o + 4*k = -24. What is the remainder when 45 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54668.687 rounded to the nearest 10?\nAnswer: 54670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 600?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26470687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 10267 = 5*f + 1605, -6936 = -4*f + 4*i. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -48521391*t*u**2 - 2*u**2 - 7496*u - 278 wrt t?\nAnswer: -48521391*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 362131*v + 83. Let o be r(7). Suppose -4*m = 9*m - o. Round m to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 8*x = -5*x + 114, -2*z - 4*x + 30 = 0. Suppose -3*i - 45 = 2*i. Let p = z - i. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 13 = -3. Does 5 = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29, 1.88, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r + 37*r - 597 = -26*o + 141, 4*o - 127 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46, 74, 128, 214, 338, 506, 724?\n\"Answer: o**3 + 7*o**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14615 = -461*c - 1309 - 6380 - 15037 for c.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/o)\/o**(-7\/8) assuming o is positive.\nAnswer: o**(23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*u + 34, 2*u - 2*h = 13 + 5. Which is greater: u or 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-33) + 13\/(-11). Let d(s) = -2*s**2 + s + 2. Let x(z) = -5*z**2 + 4*z + 10. Let j(l) = -5*d(l) + x(l). Calculate j(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152 + 177. Let a = 50 - 25. Calculate the greatest common divisor of d and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/(2\/((-40)\/15)). Solve -3*u - 4*z = -0*z, -4*u + 4*z + h = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14406 and -180.1633893?\nAnswer: 14225.8366107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2092.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10476140 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -888, -943, -998, -1053, -1108?\n\"Answer: -55*g - 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u - 2*u**3 + u**3 - 12 + 24 - 14 to the form l*u**3 + x*u**2 + o*u + i and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in sixty-four fifths of a millennium?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183229 - -513346. Let f = k + -330116.9520023. Let y = f - 0.048. Round y to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (396\/990)\/((-7)\/(805\/2))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 + 58 = -7*f. Suppose 0 = -5*t + 4*x - f, 2*t + 1 - 11 = -4*x. Let h = -1 - -1.3. What is the second smallest value in 6, 2, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r = -32. Let c be (-6)\/r*(-6 - -2). Solve -p = -c*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54817 is divided by 3425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((276\/(-36))\/23)\/(-1 + 28\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2413, -2376, -2385, -2464, -2637, -2928?\n\"Answer: -4*j**3 + j**2 + 62*j - 2472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1311215421.\nAnswer: 3, 437071807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 6*v**2 - 6*v + 5. Let z be p(-6). Let u = -174 - -244. Let w = u - z. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -381.542948 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3153, -6280, -9407?\n\"Answer: -3127*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 197609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -f - 11, 4*s + f - 33 + 12 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -380 by -6.\nAnswer: 190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16220095, 16220088, 16220079, 16220068, 16220055?\n\"Answer: -c**2 - 4*c + 16220100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10188259.56 rounded to the nearest ten thousand?\nAnswer: -10190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 1\/8 (c) 0.4 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s = -194. Suppose r = -2*w + 2*r + 43, 3*w = -5*r + s. Suppose 3*v - 40 = 5. What is the remainder when w is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*9\/(-300)*-2)\/(18\/15).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -72*j - 366. Let m be h(-2). Which is the smallest value? (a) 0.3 (b) -1 (c) m (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148323 is divided by 148322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3\/13 (b) 0.2 (c) 1\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*b**2 - 62 - 68*b**2 + 64 - 21*b - 4*b**3 as h*b**3 + t*b + s*b**2 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvkkvk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, y: 2, o: 2, v: 1}. What is prob of picking 2 y, 1 v, and 1 o?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 2, 9, 6, 5, -1188 in ascending order.\nAnswer: -1188, 2, 5, 6, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 + 414844654.\nAnswer: 414844654.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Calculate the greatest common divisor of 611920 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 6*o - 3. Suppose 2*i = 5*h + 3, -2*h - 15 = 3*i - 3*h. Let v be u(i). Let z be (-2)\/6 + (-7)\/v. Solve 0 = -k + z - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.453 + -0.2105. What is d rounded to two decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (570\/120)\/(12\/48)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - y**3 + 2*y**2 + y - y**2 + 4*y**3 - 10 to the form r*y + s*y**2 + n + a*y**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 - 24*y**3 + 69*y**2 + 90*y = 0. Calculate y.\nAnswer: -10, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npqpqtjnqjejpqpqqt. Give prob of picking 1 p, 1 t, and 1 n.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 684096153 by -16491.\nAnswer: -41483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w + 4. Suppose 1193 = 3*f + 4*g, -f - 393 = -w*f + g. Let u = 718 - f. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = 0, 26 = 3*b - 4*w - w. Suppose l + 3*i - 12 = 0, -i + b + 25 = 5*l. Suppose l*a = 3*a. Solve a = -2*o - 9 + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 40. Calculate the remainder when 117 is divided by g(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 12*p**2 - 10*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + -1*sqrt(84) - sqrt(84))*1 - sqrt(84))\/(sqrt(60)\/sqrt(5)*-4)*6.\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*f + 54*f + 65*f + (0 + 0 - 2)*(-2*f - 2*f + 5*f)*(-5 + 3 + 1).\nAnswer: 102*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104144949 by -9.\nAnswer: 11571661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-94 + -32 - -56) + 72 + (0 - 0 - 9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 + 65. Let p(w) be the first derivative of -4\/3*w**6 + 1 + 0*w**3 + 0*w**5 + h*w + 0*w**4 - 3\/2*w**2. What is the second derivative of p(x) wrt x?\nAnswer: -160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2611 + 3318 = -193*v - 4311 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 81*l**2 - 9*l + 3. Let r(m) = -82*m**2 + 10*m - 3. Let g(i) = -6*k(i) - 5*r(i). Determine g(1).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*n**3 + 82*n**3 - 4*n**2 - 14 + n - 3*n**4 - 52*n**3 to s + r*n**2 + c*n**4 + g*n**3 + q*n and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-560)*2)\/(195\/5850).\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.4525132 - -10.455. Round p to four decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnrng. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.5 (b) -1\/4 (c) 3995 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 368573\/86 + -4286. Calculate the common denominator of -17\/150 and s.\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2 - 3, -5*g + 4*n = -14. Let c be (21\/4)\/(g\/(-8)). What are the prime factors of 998\/14 + 6\/c?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**13))\/x)**(2\/63)\/(x**(-1\/4))**17)**(-21) assuming x is positive.\nAnswer: x**(-959\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 338*o**2 + 291*o**2 - 4*o - 499*o**2 + 2*o.\nAnswer: 130*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 6*n**2 - 3. Let g be f(-6). Is (-99)\/(-1) - (g + -2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(64) - (sqrt(64) + sqrt(64)*1)) + sqrt(64))*4)\/(sqrt(6)\/(sqrt(6)\/sqrt(2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 7:37 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -342013 - 102?\nAnswer: -342120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + g**4 - 5 + (-20*g**3 - g**3 - 8*g**3)*(-g - 10*g - 6*g) to q*g**3 + c*g**2 + p*g + l*g**4 + x and give l.\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004591795847 rounded to seven decimal places?\nAnswer: 0.0045918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2. Let d = -31 + 36. Suppose m + d = 0, h - m = 2*m + 71. Let a(w) = -56 + 17*w + 3*w + h. Give a(b(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/2 (b) 4 (c) -1\/4 (d) 8\/7 (e) 643\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 - 4*c**2 + 3*c - 1. Let g be -3 - (-7)\/1 - 2. Let i be w(g). Let z(d) = 6*d - i*d + 0 - 1. Give z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006904 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z - 3 - 4 + 4. Let y(v) = v**2 + 2*v - 2. Let d be (57\/12 + -4)*4. Give d*y(s) - 2*g(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*v - 4*v - 100 = 0, j + 9 = -5*v. Suppose -b + 28 = j. What is the remainder when b is divided by 8\/28 - 57\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -16*h**2 + 4*h - 3. Let d be g(2). Let y = -42 - d. Suppose -52 = -4*r - 0*s + 4*s, -5*s = r + y. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 3*f**2 + 3*f**2)*(1 - 1 + f + (-1 + 1 + 2)*(2*f - 2*f + 2*f) + (-5*f + 6*f + 5*f)*(-4 - 3 + 1) - 6 + 6 - 7*f).\nAnswer: -76*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 4*o = -4 - 11, -188*o = 5*r - 183*o + 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11868 + 11878. What is the nearest to -9\/2 in f, 0.06, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-15)*9)\/(2\/12)*(-381)\/127.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2596 divided by 232.\nAnswer: -649\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74*6 + (8 - 9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2178, -6510, -10846, -15186?\nAnswer: -19530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6929112 is divided by 1732277?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 - -124. Let o = l - 34. What is the lowest common multiple of (5 - 0)*(-8)\/(-5) and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + w - 3. Let v be g(-5). Suppose -u + 18 = 3*y, 5*u + 13 = 5*y - v. Suppose -4*j + f - 7 = -y*j, 5*j = 5*f + 25. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3))**(-11)*(q**(-1\/4)\/q)**(-1\/7) assuming q is positive.\nAnswer: q**(-293\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9026682 divided by 3008894?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 + 140.87378685.\nAnswer: 374.87378685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -236667 (base 8) to base 3\nAnswer: -11010120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*v**2 + 454*v?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 39ab76?\nAnswer: 39ab73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1946166 litres in millilitres?\nAnswer: 194.6166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -44.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 6. Let g = 3 + t. Let w = g - -2. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 15*o**2 + 25*o + 3. Let s be q(-10). Suppose -2*i + 4*p = -234, 3*i = -2*p + 138 + s. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9462 - 30564 = 69*o - 110112. What is the lowest common multiple of o and 105?\nAnswer: 9030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4848 divided by 4.\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*l + 14 = 0, k + 5 = -3*l + 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 962 and 1430.\nAnswer: 52910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*x + 4*m, 5*x - 3*m + 32 + 6 = -0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*v - 1 - 24 = 0, 0 = -v + 5. Let b = u + 10. Suppose 0 + 0*w + 2\/9*w**b + 2\/9*w**4 - 2\/9*w**2 - 2\/9*w**5 = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -441.1?\nAnswer: 439.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -34296, -34756, -35218, -35682?\n\"Answer: -t**2 - 457*t - 33838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 36 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 1\/10*n**5 + 1\/12*n**4 + 0 - 1\/30*n**6 - 26*n + 0*n**2 - 1\/3*n**3. Factor d(p).\nAnswer: -p*(p - 2)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 32 = 2*d. Let j be 63\/12*d\/6. Suppose n = -g + j, 2*g - 4*n = 2 + 14. What is the remainder when 45 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/5 + 4*o**3 - 48*o**2\/5 + 44*o\/5 - 14\/5.\nAnswer: -2*(o - 7)*(o - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 + 9*b - 34. Let w be u(11). Let y = w - -891\/5. Factor -2*k**2 - 14\/5*k - 2\/5*k**3 - y.\nAnswer: -2*(k + 1)**2*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t + 5*u + 205 = 0, -181280*t = -181285*t - u - 35 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-1\/10))\/(g*g**(-2)))**(-2\/97))**5)**(-44) assuming g is positive.\nAnswer: g**(836\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68862511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1166 + -971. Let l(x) = -x**3 + 3*x + 1. Let b be l(-2). Suppose -3*d + 4*f + 581 = 0, 0 = -b*d + 4*d - 2*f - w. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3388.886 millilitres?\nAnswer: 3.388886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 15*x**2 - 26*x + 37. What is the hundreds digit of b(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -0.6, -0.1, 6\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68)*-3 + sqrt(68) - sqrt(68) - sqrt(68))*-1)\/(sqrt(144) - (sqrt(144) - (sqrt(144)*-2 - sqrt(144))) - sqrt(4)).\nAnswer: 3*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 (base 12) in base 13?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -47 (b) -0.1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4931527 to the power of 1\/2, to the nearest integer?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*s**4 + 6*s**2 + 12*s**2 - 19*s**4 - 7*s**4 wrt s?\nAnswer: -312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 5:04 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 74, -4, -0.05, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3 + 18*g**2 + 33*g + 18 = 0. Calculate g.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13885*o + 13884*o + 3 = 0. Solve n = -o*v - 2*n - 3, v - 3*n = -9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -40 (b) 0.02 (c) 1 (d) -0.7 (e) -0.19 (f) -1 (g) -23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 1870\/121) + (-585)\/891.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 26 = -37. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 702, 3150, 7216, 12888, 20154, 29002, 39420?\nAnswer: 51396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 143899520719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1647\/(-297) + 6\/11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 9. Let u(k) = -y*k - 2*k**2 + 2*k + k. Let n(o) = -13*o - 4 + 4 + 0. Give u(n(i)).\nAnswer: -338*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 124782529 minus 1?\nAnswer: 124782528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3464723200 to the nearest integer?\nAnswer: 58862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2748 + -1295. Let f = h - 600. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*w**3 - 105*w**3 + 6*w**2 - w**2 - 5*w**2.\nAnswer: -39*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 164262273 > 164262274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -661 + 50?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*q - 486*q**2 - 2 + 0 - 141*q**2.\nAnswer: -627*q**2 - 362*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 55. Suppose 0 = 5*v + t*a - 14, -17 = 2*v - 4*v + 3*a. What are the prime factors of v\/(40\/545) - 1\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33185, 33198, 33225, 33272, 33345?\nAnswer: 33450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/((-63)\/(-14))*(3 - 70). Calculate the highest common divisor of 737 and p.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.8 + 0.2. Let p = 23522.1 - 23522. What is the closest to -0.1 in p, k, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258 = -33*a + 39 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127852, -127850, -127846, -127840, -127832, -127822, -127810?\nAnswer: -127796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -15. Calculate the smallest common multiple of g and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -292 (b) -36 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-24)*-2)\/((-84)\/567*3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -7.7. Suppose -11 = -l - 7. Which is the closest to -2\/7? (a) q (b) 1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgrqqqgrqxxg. What is prob of picking 2 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 7) + -7 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = v - 0. Let t be 2\/(-5) - (-24)\/10. Suppose 0 = -2*h - 4*m + 12, -h + v*h - 4*m - t = 0. Solve 7*r = h*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -84576 (b) -2 (c) 5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 4 + -5 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-2) - (-10 + 6). Suppose -5*o + 45 = 5*x, 0 = 2*o - 2*x + 2 - i. What is the derivative of -2*a - 6*a**o - 6*a**4 + 4 + 2*a wrt a?\nAnswer: -48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6 = 4*j. Suppose -j*m = m + 12. Let z(k) = k**3 + 3*k**2 - 3*k + 3. Let y be z(m). Is -1\/4 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*y - 2*o = -128*y - 20, -1 = -3*y + 2*o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 90.2+-1.2\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148 - -154. Calculate the common denominator of 7\/24 and n\/(-15) + (-370)\/(-120).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 4*h - 9*h - 6 + 2. Let v(q) = 11*q + 5. Let a(u) = -7*c(u) - 6*v(u). Does 15 divide a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53249 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: Expand (4*x - 2*x + 0*x)*(-4*x**2 + 3*x**2 + 93*x**3 - 23*x**3).\nAnswer: 140*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) -1 (b) 1 (c) 6 (d) -1\/5 (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(65))\/sqrt(5)*-1.\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 149689838*o + 5601761900116561.\nAnswer: (o + 74844919)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*m + 31*m + 35*m + 4 + 2 + 16 in the form q*m + o and give q.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -406.249 and 0.14.\nAnswer: -406.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/9936 and -77\/4416?\nAnswer: 39744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + x - 12 = 0, -x = -1 - 2. Suppose q*a - 30 = a. Put 5, a, -1 in descending order.\nAnswer: a, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (5 + 6 + 0 - 6) - -44.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - 6) - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1989185, 1989181, 1989175, 1989167, 1989157?\n\"Answer: -a**2 - a + 1989187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 28 - (4 + 20)) + -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68 - -7 - 4) + (39 - (38 - 19)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102091 or 102125?\nAnswer: 102091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39690 is divided by 1526.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4\/13 + 80*w**3\/13 + 1038*w**2\/13 + 3976*w\/13 - 392 = 0. What is w?\nAnswer: -14, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3544634 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 495, 743, 991, 1239, 1487?\nAnswer: 1735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 + 3*i**2 + 15 - 6)*(338*i**2 + 428*i - 428*i) as v*i**3 + a + n*i + p*i**2 + g*i**4 and give g.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43602912 is divided by 4533.\nAnswer: 4518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -0.4. Let l = 0.2 - -0.8. Let c = -0.032 - -0.032. What is the third biggest value in l, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 244, -5, -3433 in ascending order.\nAnswer: -3433, -5, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 651414689 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -392, -730, -1068, -1406?\n\"Answer: -338*u - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1015\/49)\/(12\/(-21)). Let q = g - -36. What is the nearest to q in 3, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3967, 3902, 3835, 3766, 3695, 3622?\nAnswer: 3547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 451 (base 8) to base 15\nAnswer: 14c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 286*q + 89*q + 6 + 43*q - 8 - 16*q to u*q + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 14*k**2 - 37*k + 74. Give u(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, 10, -396, 3, -2 in descending order.\nAnswer: 10, 3, -2, -95, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 41\/4 - 1\/4. Suppose v + 3*k - 11 = 0, 2*v - 3*v + 4*k = m. Suppose 0 = v*y - 4*a + 8 + 6, 0 = 5*y - 4*a + 17. Put y, 1, 4 in ascending order.\nAnswer: y, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yry when three letters picked without replacement from {r: 2, y: 17}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -6112015?\nAnswer: 6112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*s = -80*s + 24. Differentiate -44*g**s - 2*g + 121*g**2 - 11*g**2 - 35 wrt g.\nAnswer: 132*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c + -3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 213493799 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**2 - 6*d - 6. Suppose 2*p - 12 = -x, -18 = 2*x - 6*x + 2*p. Let a(r) = 11*r**2 + 13*r + 13. Suppose 177 = 11*f + 34. Give f*y(h) + x*a(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28107\/405 + -67)\/(15\/175).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((377395\/(-15))\/((-2)\/(-12)) + -1)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15187269*d*s*v**2 + 14*d*v**3 + 39451930*s + 4*v**3 with respect to d.\nAnswer: -15187269*s*v**2 + 14*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001000110000 + -101?\nAnswer: 100001000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17388293 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-21)\/(-6)*4\/56)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25766*c + 25766*c + 158*c**2 + 392*c**2 to the form l*c + h*c**2 + o and give h.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3186 = -528*l + 8888 + 8026 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 4, -52866, 3, -0.052, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 9*t + 2. Let y(i) = i**3 - 8*i**2 - 7*i - 6. Let m be y(9). Suppose -10 = 2*c + m. What is the tens digit of o(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26313 is divided by 121?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110258*u - 571365*u + 218506*u - 246852*u.\nAnswer: -709969*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 278901450 to the power of 1\/2, to the nearest integer?\nAnswer: 16700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9760215 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15 - -15)*(0 + 1). Suppose -46 = -4*i - 2*x, h*i - x = -3*i + 22. Solve 16 = -i*y + 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 40, 5 in descending order.\nAnswer: 40, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -61*v**2 + 7\/3*v**3 + 0*v + 1\/24*v**4 + 0. Give f(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 - 7*w**2 - w**2 - 2*w**2 + 2*w - 2*w + (3 - 1 - 4)*(-w**2 - 1 + 1) - 2*w + 2*w + 2*w**2)*(2*w + 3 - 6*w - 2).\nAnswer: 36*w**3 - 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -142.\nAnswer: 42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 7. Suppose -b = -z*b - 6. Let m(s) = -s**3 - s**2 - s + 2. Is m(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 46 = -2*i + a, -i - 5*a + 16 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 6:51 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 8. Let p(h) = 79*h**2 + 3*h - 42. Determine -5*n(x) + p(x).\nAnswer: 79*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2364193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 1. Let h(l) = l**2 + l - 1. Let x(s) = -3*s**2 + s - 8. Let a(d) = -3*h(d) + x(d). Determine -a(z) + 4*c(z).\nAnswer: 2*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9926 is divided by 677.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 576764325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -723267*r*x + 3*r + 155711 wrt x?\nAnswer: -723267*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 232804 to the power of 1\/2, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -28.000136. What is o rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65409965 divided by 13081993\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhohyhokhhkh. What is prob of picking 1 y, 1 h, and 2 o?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/16179719 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u\/u**(1\/18))))*u*u*u**(7\/6))\/((((u*u*u**(-1\/17)*u*u*u)\/u)\/u)\/u**16) assuming u is positive.\nAnswer: u**(2491\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-3)*(3\/54)\/(41104\/(-79272))\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**2*o)\/o)*o*o\/o**4*o)\/(o**(-2)\/((o**(1\/4)\/o)\/o))*((o**1*o)\/((o\/o**(-6))\/o))\/(o**(-5\/2)*o**0\/o) assuming o is positive.\nAnswer: o**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26564664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-4 - 100\/(-95)). Let y = -92\/57 + g. What is the second smallest value in y, 0.2, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*r - 27, -r - 29 = -12*y + 9*y. Suppose 27 = 3*k - 201. Calculate the remainder when k is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/24 + 5*x**3\/18 - 2*x**2\/3 + 2*x\/3 - 158. Factor p(a).\nAnswer: -(a - 2)**2*(a - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-18 - -9 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (19\/(-76) + 9754701\/(-13071100)). Let p = 2\/6575 - r. Are p and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 2*y**2 - 1. Let a = 20 + -22. What is o(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**3 + 6*i**2 - 7*i - 53. Is k(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(2*d**4 + d**3 - d**3) - 527*d**2 + 527*d**2 - 7*d**4 - 3*d**3 as q*d + w*d**4 + o*d**2 + k + t*d**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -180772.2 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 324 = -16. Let b = -36 - o. What is b rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102023 - -1?\nAnswer: -102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2009 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 48547519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1940722 is divided by 1739.\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -8, 1, -119?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -625*c**3 + 13*c**2 + 41*c + 21. What are the prime factors of m(-3)?\nAnswer: 2, 3, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/(20*2\/(-2 - -42)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 4\/7, 1, 0, 0.2421 in descending order.\nAnswer: 1, 4\/7, 0.2421, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 9. What is the lowest common multiple of (4\/2 - -2) + f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2768*r + 23332 - 1696 + 36444 = -2816 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3356, -3357, -3358, -3359, -3360, -3361?\n\"Answer: -w - 3355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/6 - 34607*g**2\/6 + 345995*g\/6 - 864925\/6 = 0. Calculate g.\nAnswer: 5, 34597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5210069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5784720 rounded to the nearest 100000?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4912.7 - -4913. Let w be ((-2)\/7)\/(9\/21). Which is the biggest value? (a) w (b) -5 (c) m (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/12)\/((-130)\/585).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21767 (base 16) to base 10.\nAnswer: -137063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -2\/67868283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 8*d**2 + 3*d - 29. Let t be n(8). Let b(k) = -4*k - k**3 - 10 + k - k**3 - 10*k**2. Let i be b(t). Let u(q) = -q**2 + 5*q + 5. Give u(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (sqrt(66) + (sqrt(66) + (sqrt(66)*-2 + sqrt(66) - sqrt(66)) - sqrt(66)))*1)\/(sqrt(66)\/(sqrt(11)*-1) - sqrt(6)))**2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*s + s - s + (-2 - 1 + 1)*(18 + 2*s - 18) + (-1 + 1 + 8)*(1 - 1 + 3*s).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*k + 144*k - 739*k**3 - 66*k - 48*k.\nAnswer: -739*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*10\/(-4)*(-292)\/(-511)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = s - 0*r - 2*r, -5 = -s + 3*r. Let t = s + -17. Calculate the lowest common multiple of 2 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -24164610.\nAnswer: -7\/8054870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, g: 1, o: 1, x: 2, y: 1, k: 2}. What is prob of sequence hkko?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((738\/72)\/(-41))\/((-1)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/3, -943.3, -9\/2, 0.2, 17 in decreasing order.\nAnswer: 17, 2\/3, 0.2, -4, -9\/2, -943.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q. Let l(x) be the first derivative of -59*x**6\/360 + 12*x**3 - 14. Let d(t) be the third derivative of l(t). Determine d(c(u)).\nAnswer: -59*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -36\/7.\nAnswer: -36\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 342*l. Let z(n) be the third derivative of -n**5\/15 - 2*n**2 - 413. Determine z(q(b)).\nAnswer: -467856*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-4\/15)))\/(n\/n**15))\/(n*n\/n**(-1\/37)*n*n*n*n\/(((n*n**(-6\/13))\/n)\/n)))**(-25) assuming n is positive.\nAnswer: n**(-244520\/1443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/340328 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(208) + sqrt(208) + 1 - sqrt(52)).\nAnswer: -24*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 30 = 2*x, 2*v + 30 = 3*v + 2*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*3*5.\nAnswer: 135*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 686, 1492, 2830, 4700?\n\"Answer: 266*d**2 + 8*d + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, x: 1, t: 1, c: 2, s: 1, p: 11}. Give prob of sequence pixp.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(0 + 0 + 2*i)*(i + 1 - 1)*(0 + 3 - 4).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -18\/23, -0.251 in increasing order.\nAnswer: -5, -18\/23, -0.251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/(-100))\/((-24)\/(-320)). Solve 1 = -k*h - w, -7*w + 6 = -5*w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(68)*2)**2 + 1.\nAnswer: 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2033*t**2 + 3 - 5 + 309*t**2.\nAnswer: -1724*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 + 74. Let k = 99 - c. Is k > -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 285 = -9*l. Let b = -54 - l. Is 21 a factor of 1*-82*b\/(24\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:19 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27944 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2786528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l + 3*l + 270 = 44*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2115021 = -131*a - 2112270 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 106 - (-6 + (-1 - -4)). Suppose -6*z = -137 - o. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 528*-0.1.\nAnswer: -52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 0)\/(2\/10). Suppose -3*g = -8*g + w. Suppose 2*v = 4*o - 92, g*o = 4*o + v - 38. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4496828.99999952 - 4496823. Let u = 6 - l. Round u to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*l + 20 = -12, 28 = 2*z + 5*l. Let i(k) = -9*k + 23. Let x be i(2). Suppose -7*w + 37 = -x. Solve -4*h + 20 = -4*s, -2*s - w = z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39\/(-13)*24\/9. Let y be 3 + u - (42\/(-1) - -7). Is 29 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 1)*(-213 - 444 + 164 - 98)*(3*h**2 + h**3 - 3*h**2) in the form k*h + z + l*h**3 + o*h**2 and give l.\nAnswer: -2364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -375172460, -375172463, -375172468, -375172475?\n\"Answer: -n**2 - 375172459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 2826.78?\nAnswer: -11307.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036877987 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 19. Let c(n) = 19*n**3 - 2*n - 1. Determine c(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 48. Suppose -6*i - t = -i. Let d be (-3)\/18 - 7\/(-6). Sort 11, i, d in decreasing order.\nAnswer: 11, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56591810 and 10289420?\nAnswer: 113183620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -65. What is the nearest to -1 in m, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b0 (base 15) in base 9?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**7\/189 + 2*o**6\/135 + o**5\/30 - 28*o. Find g such that d(g) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-54) - (-65)\/9. Let t = x - 2. Solve -3*f - 11 = 1, 0 = 5*h - 5*f - t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1, -9\/562, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40825 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14356 + 2?\nAnswer: 14360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1064.3 - 714.4. Let w = r + -366. What is w rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 13 - 21 - -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 175, 888, 2411, 5014, 8967, 14540?\n\"Answer: 45*h**3 - 142*h + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29.4 and 0.4.\nAnswer: -11.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(351))\/sqrt(3).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g + 5. Let p = -12 - -11. What is the units digit of r(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l - 477. What is x(-95)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.06, 2, 1\/2, -176.7?\nAnswer: -176.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2*j + 7 + 3*j - 9*j.\nAnswer: -8*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 1553259?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88576 (base 10) to base 12.\nAnswer: -43314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/7365000 and 19\/552?\nAnswer: 169395000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52166673 is divided by 6789?\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(1\/10))*a*a**13*a)\/(a*a**(2\/21))**(5\/2) assuming a is positive.\nAnswer: a**(1298\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9709 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 9*p + 3968 = 48*p + 69*p for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1164\nAnswer: -465.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5559570 or 5559571?\nAnswer: 5559570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 1.3. Let y = c - 2. Let z = -173364 - -866821\/5. What is the closest to y in 0.3, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-600)\/(-225))\/(8\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*k - 27. Solve 2*i + 0 = k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6132623 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.073674449536 - 0.2\nAnswer: -0.273674449536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3914 times 114.7?\nAnswer: -44.89358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 27*f - 37. What is the remainder when w(-12) is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -30*m**2 - 3*m. Let y(p) = -15*p**2 - 2*p. Give 3*g(r) - 5*y(r).\nAnswer: -15*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 13*t**2 - 77*t + 815. What is g(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -5, 1, -13, 4 in ascending order.\nAnswer: -13, -5, 1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - l**2 - l. Let k be w(-1). Let i(n) = -15*n + 70. What is the lowest common multiple of i(4) and ((-2)\/k)\/((-1)\/(-5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6937947 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25.14 + -0.14. Let j = 24.92 - a. Let f = 5.78 + j. Round f to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**3 - 771*n**2 + 30672*n - 284796 = 0. What is n?\nAnswer: -293, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 - 2*z**4 + z**4 + (627*z**2 - 1088*z**2 + 903*z**2)*(0*z**2 + 2*z**2 - 4*z**2).\nAnswer: -886*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 6:17 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2\/7*r**2 - 2\/7 - 10\/7*r - 16\/7*r**5 + 4\/7*r**4 + 26\/7*r**3 = 0.\nAnswer: -1, -1\/2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 82 (b) 0.1 (c) -1\/3 (d) 7\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-10) - 10\/50. Let x be (o*-4 - (2 - 9)) + -1. Put x, 1, -4 in decreasing order.\nAnswer: x, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**12)\/(g\/g**(1\/3)))**(1\/2) assuming g is positive.\nAnswer: g**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -38, 84 in increasing order.\nAnswer: -38, -2, 2, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-n - n + n) + 2 - 2 - 2*n + 5 + n - 5 + (2*n + 2*n - 2*n)*(0 + 1 + 1) + 7*n - 2*n - n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - 64. Suppose 21 = s*y - 14. Suppose -400 = -y*o + 2*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*q - 21*q - 9*q**2 + 1)*(17*q - 5*q + 92*q) + (-2*q - 3 + 3)*(-2*q**2 + 0*q**2 - q**2) - q**3 - 2*q**3 - q**3.\nAnswer: -934*q**3 + 104*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 4, 1, 60, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3645244 is divided by 8638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven quarters of a week?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/9 - 2206*u\/9 + 1468\/3 = 0. What is u?\nAnswer: 2, 1101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 3*v + 4. Let q be h(3). Suppose -3*x + q*o = -4 - 0, -3*x = 4*o - 44. Solve -3*p + x = 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2435 + 4298. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18+-0.744\nAnswer: -0.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5241117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 888 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 the common denominator of 71\/1932 and ((-1)\/14)\/(3228\/(-44654))?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1685\/11 - -153. Let s = 27.9 + -27.3. What is the closest to -0.04 in -1\/5, -2\/3, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*f - 14 = -5*y, 0 = -f - 4. Let v be ((-15)\/y)\/(4\/8). Is -5 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 7:33 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.09 and -0.964548.\nAnswer: -0.874548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41482 and 251034?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-135)*54\/24?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 8 - -12 - -24?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -11*a**2 - 1\/20*a**5 + 0*a + 2\/7*a**3 + 0 + 1\/7*a**4 - 1\/56*a**6. Solve t(x) = 0 for x.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 251955 and 825.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnzmjmnv. Give prob of picking 2 n, 1 m, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7537141626 + 5?\nAnswer: -7537141621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/3*15\/(-2). What are the prime factors of (-2 + 12\/(-21))\/(5\/i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 3*u + 3 - 8, 0 = -y - 2*u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 less than or equal to 119.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o + 27 = 33*o. Let n(h) = h**3 + 2*h**2 - 2*h + 4. Calculate n(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 q when three letters picked without replacement from ffffqfqqfqf?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d**4 + 8*d**4 - 6*d**4 + (-14 + 14 + 5*d**2)*(-d**2 - 3*d**2 + 3*d**2) + 5*d**4 - 3*d**4 - 4*d**4.\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/9 + -2)*-3. Let u = 4 - b. Suppose 0*r - 5*r + 10 = u. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.35732*0.3\nAnswer: -0.707196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 - 47769*b**2\/4 + 6768075*b\/4 - 240087707\/4.\nAnswer: (b - 47627)*(b - 71)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - l + 23 = -17, -3*y + 24 = 5*l. Suppose 0 = -y*t + 11*t - 12. Let r = 0.4 - -0.1. Which is the smallest value? (a) r (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -1871 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9504 and 983088?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8702.2 rounded to the nearest one hundred?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 4*a - 11. Let c be f(10). Let y(t) = -c*t**2 - 44*t**2 + 92*t**2 - 8*t + 1. Suppose -4*d - 32 = -2*i, -d - i = 2*d + 19. Calculate y(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1849 + 1849. What is the fourth smallest value in -2\/7, 0.03, -2\/31, l?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-10))\/((-6)\/(-30)). Does 13 divide (-3 - 0)*(-26)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -500*h. Let n(d) = d**2. Give x(n(u)).\nAnswer: -500*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2273*g + 447 = 2422*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 15019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - u. Let x be s(1). Suppose -3 = -i - x*i. Suppose -33 = -2*c - 3*z + 30, -2*c + i*z + 33 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - y = 4*y - 25, 0 = -y - 5. Let r(x) = 7*x + f*x - 13*x. Let n(o) be the third derivative of -o**4\/8 + 3*o**2. What is n(r(p))?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*v = -3, f + 3*v = -4*f + 13. Suppose 3*r = r + f. Calculate the highest common factor of 5 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2)*-3)\/(783\/(-18))\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 373327*4*(-10)\/(-40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 13*d + 48 = 0. Let g(i) = i - 6. Let m be g(d). Let j be (0 - -2)\/((-4)\/(m + -282)). What is the greatest common divisor of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*g**3*m**2 + 3*g**3 - 34*g**2*m*z + 6*g*m**2*z - g*m*z - 2*g*z + 14*g - 3*m**2 wrt g?\nAnswer: -432*g*m**2 + 18*g - 68*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002890028 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 218 - 4361\/20. Is j less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1246*z + 3498. Is v(-14) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -24*l**2. Let z(k) be the third derivative of k**8\/3360 - 13*k**5\/12 + 89*k**2. Let w(h) be the third derivative of z(h). Determine w(i(v)).\nAnswer: 3456*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**2 + 19*m**2 - 389*m**3 + 406*m**3.\nAnswer: 17*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/15*-3*5. Suppose -q = y - 10. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1461?\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400095 = -15086*h + 459165 - 884476 for h.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((134\/(-4))\/(-1))\/2. Let t = -17 + r. What is the third smallest value in -1, -3\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 73*n**5\/120 + n**4\/6 - 5*n**3\/3 + 8*n. Let v(w) be the second derivative of s(w). Is v(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g**3 - 36*g**3 - 34*g**3 - 57*g**3 + 114*g**3.\nAnswer: -38*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8661 = -10*v + 43709 - 6400. What are the prime factors of v?\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4560 = 4*f + 4*d, 4*f - 4*d - 660 - 3908 = 0. What are the prime factors of f?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -561*k**6 - 6*k**2 + 3*k wrt k.\nAnswer: -67320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 123 + 39 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = n + 33, -n + 2*w = 2*n + 14. Let o(m) = m**3 + 9*m**2 + 10*m + 16. Let j be o(n). Factor -1\/2 + 1\/2*u**4 + u**3 + j*u**2 - u.\nAnswer: (u - 1)*(u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 4 (c) 0 (d) -0.1 (e) -0.117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5353 + -0.0823. Let x = -0.027 + b. Round x to 2 decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -10 - 10. Let x(u) = -u**2 - 23*u - 12. Let k be x(f). What is the highest common divisor of 48 and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -170180730294657 - -170180725062298.84399748. Let t = a - -5232358. Let b = 0.156 + t. What is b rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3067\/21 > -147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 x when four letters picked without replacement from xdwxqdxixxiixxix?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -341028 and -0.04?\nAnswer: 13641.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*w = 70, 2*r + 3*w = -r + 234. Suppose 2*n - 5*n = -4*a - r, 4*n + 3*a = 65. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*(52\/6)\/((-10)\/(-5)). Suppose 41 = 2*d + t. Let u be d\/1 + -14 + 15. Solve -v + u*j - 2 - 1 = 0, 2*j = -5*v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5*(-1 + 9)\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, p: 6}. Give prob of picking 3 p and 1 i.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4378*k. Let q(r) = -84398*r**2 + 2*r. Determine u(q(n)).\nAnswer: -369494444*n**2 + 8756*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*g - 25*g + 11 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -17\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/336*(270\/(-144))\/(12\/(-112)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/155? (a) 1\/3 (b) -0.1 (c) 2.55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11011011 (base 3) to base 11\nAnswer: -2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 plus 28.2802?\nAnswer: 43.2802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86\/6)\/(-122*257\/94062).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2. Suppose a = 3*a - 8. Let r be (-2)\/(a\/6*-1). Let k(m) = r*m - 2*m + 0*m. Give k(q(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -33.1. Let u = s - 2. Let c = -4 + 3. Sort 0.4, u, c.\nAnswer: c, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + sqrt(77)\/((sqrt(7)*-3 - sqrt(7))*-6)*-6.\nAnswer: -sqrt(11)\/4 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 107 - 62 - -52?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 265122*m**2 + 87326910*m - 7199977950.\nAnswer: 2*(m - 132231)*(m - 165)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -575187 greater than 13\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by 2990\nAnswer: 32\/1495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Let i be (11 + -9)*54\/(-4). Let w = -26 - i. Which is the nearest to o? (a) -0.3 (b) w (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529077317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 13 - (7 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (sqrt(475) - (5 + -2*sqrt(475)) - sqrt(475) - (sqrt(475) + (5*(2*sqrt(475) + sqrt(475)) - sqrt(475)) - sqrt(475)))**2).\nAnswer: -136842 - 1200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-39.\nAnswer: 27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/12*-4*-1 + 9. Let q be ((-4)\/t)\/((-50)\/28000). Calculate the highest common divisor of q and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**3\/7 + 163398*n**2\/7 + 2778687*n\/7 - 2942082\/7 = 0.\nAnswer: -18, 1, 54483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 2*g + 0*g)*(-3 + 2 + 2)*(5 - 4 + 0)*(0 - 1 - 1).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -58, -1 in descending order.\nAnswer: 1, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5825, -23424, -52757, -93824, -146625, -211160?\nAnswer: -287429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9150 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/(-27))\/(-2 - 142\/(-72)). Suppose 36 = 4*g + 2*o, 8*o - c = -4*g + 3*o. Put -5, 0, g in decreasing order.\nAnswer: g, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279821, -279822, -279823, -279824?\nAnswer: -279825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10850, 21612, 32200, 42530, 52518, 62080, 71132?\nAnswer: 79590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 6*m**2 - 2*m - 1. Suppose 20 = 4*a, 0 = y + 4*y - 2*a - 365. Let l = y - 81. Calculate w(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.62337 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from vpiqwpqi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 - 0.9368. Let k = a - 0.2632. Sort 9, k, -2\/7.\nAnswer: k, -2\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224405 and 3050695?\nAnswer: 112875715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 183\/(-21) + (-2)\/7. Let g = 7 + l. Which is smaller: -7\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1041, -1042, -1043, -1044?\n\"Answer: -n - 1040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 7*z**2 + 6*z + 9. Let b be g(-8). Let j = b - 27. What is the closest to 2\/7 in -2\/5, -4, j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 8*h + 2*h)*(5 - 1 - 2)*(-10 + 7*h + 10).\nAnswer: -98*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2673*c**3*m**2 - 5*c**3*m - 15*m**2 + 343*m wrt c?\nAnswer: -8019*c**2*m**2 - 15*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1100 + -1099.7. What is the third smallest value in w, 0.4, -2\/9, 1\/10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 0. Let j(u) = u + 21. Let b(p) = -4. Let z(h) = 10*b(h) + 2*j(h). What is z(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 4170360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from dqqcqddqdqcqqdcddd?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -12 + 6. Let z be (3\/a)\/(4\/24*-1). What is the greatest common factor of z and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16 + -4 + 2)*1. Let y(s) = s**2 - 15*s - 19. Let f be y(u). Let b = f - -39. Calculate the lowest common multiple of 2 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + s**2 - 1. Let m(l) = 8*l**4 + l**3 - 8*l**2 - 1. Let d(h) = m(h) - z(h). Find the third derivative of d(r) wrt r.\nAnswer: 192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Calculate the remainder when (-4 - -84)\/(-2 - -7 - 3) is divided by 3\/(-4)*(-56)\/n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 102*a**3 + 61.\nAnswer: -102*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7219469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2903 and -0.2?\nAnswer: -580.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b**2. Let v(y) = -59*y + 136*y + 4 - 74*y. Let p(g) = 2*g + 3. Let q(l) = -4*p(l) + 3*v(l). Calculate o(q(m)).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259 and 11729.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-6 + 3 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1557601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 161 + 51 + 28. Solve a = -21*k - 81 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**4\/6 + c**3\/6 - 3*c**2\/2 - 9*c. Let k(x) = -x + 1. Let g(a) = -3*k(a) - s(a). Factor g(w).\nAnswer: -2*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1208\/14 - (30\/185 - 8148\/(-7252)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 12:28 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 1, v: 1, d: 2}. What is prob of sequence yy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 5) in base 16?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644881.\nAnswer: 644881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 12*l - 184. Let g(d) = -1. Let n(q) = 6*g(q) - m(q). Let w be n(15). Sort 5, -5, -15, w in decreasing order.\nAnswer: 5, w, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-26)\/(-249) + 1\/(-3) and ((-180)\/42 - -6)\/(176\/168)?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/2 - 359319*o**2 + 15810399*o\/2 - 43478930 = 0. What is o?\nAnswer: -718660, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(10\/8*16\/40). Find the third derivative of -38*m**5 - 79*m**5 + 2*m**2 + 27*m**2 - 7*m**d wrt m.\nAnswer: -7020*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 4*b**2 + 9*b - 11. Let h be y(4). Calculate the highest common factor of 225 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -43. Put g, -6, -3, 2 in descending order.\nAnswer: 2, -3, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*c + 2874 = -332 - 979 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 124 or 1?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by -1.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -124 divided by 122884\nAnswer: -1\/991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 178, 277, 418, 613, 874?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 5*k + 1. Let t be w(-2). Let n(a) = 12*a**2 + 3*a + 5 - 2 + 4*a**2 - 1. What is the remainder when 59 is divided by n(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*y + 81 + 100 + 110 - 374 + 84.\nAnswer: 30*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.155919 to the nearest integer.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 + 2*k + 54 + 4*k**3 - k**4 + 2*k**4 to z*k**2 + g*k + t*k**4 + d*k**3 + j and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 195195449 or 195195444?\nAnswer: 195195449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 5:54 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12095\/3087 + -10\/343. Is x at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {c: 1, e: 4, i: 8, b: 5}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853 is divided by (-10)\/14 - 182310\/(-826)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/9 - 40\/(-60). Solve -5*j - 3*f = 9, -1 + 4 = -q*j - f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s + 3 - 9 + 0 + 0 - s**2. Determine o(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - w**2 - 3*w - 5. Let i be u(-2). Let z = -4 + i. Solve r - 2*a + 6*a = -z, -5*r - 1 = -2*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1219 + 978. Let w = x - -245. Suppose -2*y + 16 = 2*y. Calculate the highest common divisor of y and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5717*l**4 + 262*l + 5718*l**4 + 2*l**2 - 2*l**3 + 11 - 10 in the form s*l**3 + a*l**2 + d + q*l + x*l**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23608, 23564, 23504, 23428, 23336, 23228, 23104?\nAnswer: 22964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 - 3*d**2 + 3*d**2 + (-6*d + 9*d**2 + 6*d)*((2 - 51 + 5)*(d - d - 2*d) + d + d - d) to y + z*d**3 + t*d + p*d**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-36 - (-18 + -8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j + 57*j + 2 - 34*j to the form h + n*j and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/18)\/((-4)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = -4. Let r(q) be the third derivative of -1\/8*q**4 + 4*q**2 + 0*q + 0 - 1\/3*q**3. Calculate r(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.1 + -6. Let x = h + 0.900026. What is x rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3748*o - 3729*o + 0 = -38. Sort -3, -34, -1, o, -5.\nAnswer: -34, -5, -3, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/(-2))\/((-36)\/(-24)). Let p = 17 + y. Suppose -p*o + 135 = -30. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/o**34*o)*o))\/o)\/o**(-1\/11))\/(o\/((o**(9\/4)*o)\/o*o))**11 assuming o is positive.\nAnswer: o**(-403\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9753 is divided by 651?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2161 + 2174 - 29*b**2 - 6507 + 2160 as h*b**2 + r*b + u and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10*o**(3\/4)*o\/((o*o*o*o**(1\/10)\/o*o*o)\/o)*o*o*o**(-11))**18 assuming o is positive.\nAnswer: o**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p = 32*p + 1. Let c(r) = -16*r**3 - r**2 + 1. Let y be c(p). Is 5 a factor of (-2)\/(-3)*(-696)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(187) + sqrt(187)*-5*3 + sqrt(187))\/(sqrt(539)*-3)*-2)**2.\nAnswer: 11492\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2479 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 + -2.24. Let r = u + 2.2. Which is the third smallest value? (a) r (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 1, o: 2, h: 3}. Give prob of picking 1 q and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 268 = 3*o. Differentiate -12 + 39 + 25 + 124*a**4 - o*a**4 wrt a.\nAnswer: 48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -57*p - 1029. Let o be n(-18). Put -4, 0, o, 319 in ascending order.\nAnswer: -4, o, 0, 319","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11834)\/(-122))\/(-2231)*1403\/(-1)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.47 - 3645.11969\nAnswer: -3645.58969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 231 = 69*v - 103 + 723, -4*v + 2*o = 42 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o - 13. Suppose -8*l = -6*l + 5*t - 22, 4*t = 24. Let q(i) be the first derivative of -i**2\/2 - 3*i - 1. What is l*k(h) + 18*q(h)?\nAnswer: -6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 10*v**3 - 2*v)*(-4*v + v + 2*v).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/19, 0.156, 2\/17 in descending order.\nAnswer: 0.5, 0.156, 2\/17, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24, 4, 42, 90, 148, 216?\n\"Answer: 5*i**2 + 13*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v + 66. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 30*t - 5. Let s(x) = -89*x + 16. Let a(w) = 7*j(w) + 2*s(w). Let q be a(4). Suppose q = 3*r + 2*r. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*z + 4*z - 3*z - 6*z)*(-1231 + 458 + 2*z**2 - z**2) to t + v*z**3 + x*z**2 + s*z and give s.\nAnswer: 10822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {g: 1, r: 1, l: 4, s: 3, p: 1, m: 6}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 5:37 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/7293 and 131\/858.\nAnswer: 14586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -4.06\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**5\/20 - 2*q**4\/3 + q**3\/6 + 9*q**2\/2 - 4*q. Let w be l(-8). Put -2, w, 3 in ascending order.\nAnswer: -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 221? (a) 0.1 (b) 7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1583909754 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 17*j**2 + 67*j + 30. Let i be p(-11). Let x(h) = h**3 - h**2 - 2. Let y be x(2). Sort y, 5, i in decreasing order.\nAnswer: i, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7130964427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 9182 = -2*q. Let r = 9508 + q. Let t be (-3 + 0)\/(-3) + r. What is t rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 670 and 335?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.11 (b) -5\/6 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1895848 rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/((-112)\/12) - 12\/(-16). Solve a = -2*d + 5*d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Suppose -h*i = -i. Suppose i*d + 3*d - 21 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p - 21*p + 57*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 5:28 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**2 + 7 + 7*m**3 - 3*m**3 + m - 5*m**3. Let q be n(-5). Suppose 0 = -5*h - q*b + 4*b + 13, 0 = 5*h + 4*b - 19. Solve 0 = -h*d + 7*d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 8*p**2 + 5*p + 7. Let g be x(7). Let l = g - -12. Sort l, -4, -5 in descending order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1921 or -2163?\nAnswer: -1921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -10. Suppose -30 = -5*w + 3*m - 8, w + m - 6 = 0. Suppose -4*v - w = -k, -2*v + 3*v = -5*k + 25. Put h, v, -10 in descending order.\nAnswer: h, v, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = r - 13, -3*v - 6 = -4*r + 1. Solve r*b + 6 = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.942 - -3.19. Let r = c - 1.156. Let h = 0.024 + r. What is the closest to -1\/2 in h, -5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -3\/325 (c) 1 (d) 0.4 (e) -134\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 56. Suppose 3*w + 0*n = -n + 22, -4*w + 26 = -d*n. Let p(u) = -w*u + u + 6*u - 2*u. Let z(y) = -23*y. Determine z(p(g)).\nAnswer: 46*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382 = s + 5*g + 406, -4*s + 19 = -3*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxx when three letters picked without replacement from wwxwxw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 2951?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*x - 10 = 0, s + s + 2*x - 2 = 0. Suppose v - 2*k + 98 = 5*v, 2*k + 52 = s*v. Solve -4*h + v = -9*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -81202 and -0.3.\nAnswer: -81202.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472700 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4646527\/99 + -46935. Is j smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 12:46 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -626 - -624. Which is the closest to 2? (a) 1 (b) -2\/3 (c) j (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -8. Let k(b) = -11*b + 319. Let n be k(29). Solve n = a + 11 - u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22b + 1?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*o - 7 - 15, -b - 5*o - 4 = 0. Suppose b*g + 955000 = 16*g. Round g to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sku when three letters picked without replacement from ssvskvsus.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-2)))\/(b*(b*b*(b**(1\/5)\/b)\/b*b*b)\/b)*b*b**(-7)*b**(-6)*(b*b*b**(-1\/2))**(2\/71)*(b**(3\/5)\/b)\/b*(b\/b**(-2)*b)\/b assuming b is positive.\nAnswer: b**(-5168\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4285925932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 + 110.7. What is the closest to a in 5, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d59417 - -18?\nAnswer: -4d593dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 106, 103, 78, 25, -62, -189?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**2 - 5*d - 10 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 18*g - 17. Let s be l(-7). What is the third derivative of -21*v**5 + s*v**2 - 12*v**2 + 11*v**2 wrt v?\nAnswer: -1260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 14870*m - 11055845.\nAnswer: -5*(m - 1487)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.261 - -176.261. Let i = k + -177. Let n = 0.17 + 0.03. What is the fourth smallest value in n, i, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 759 (b) 1\/8 (c) -3\/14 (d) -0.04 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p**2 - 11*p - 5. Let b(l) = -13*l**2 - 16*l - 8. Let d(h) = 5*b(h) - 8*j(h). What is the second derivative of d(t) wrt t?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 plus -244113063409?\nAnswer: -244113063542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144 + 20?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = 4*g. Let j be (-6)\/(-10) + 4\/5*g. Suppose -1 = 4*v + 11. Which is bigger: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5 = -3*v - v, 0 = v - 5*h + 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + q + 10. What is the remainder when b(0) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 17. Suppose -j - 3*z = 0, -9 - 24 = -5*j - l*z. Suppose -4*u = -u - j, -2*f + 87 = u. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0.3, -2\/9, -19, 12, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.28? (a) -0.1 (b) -36 (c) -0.04 (d) -5 (e) -15.084\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2\/21, -630, -0.03?\nAnswer: -630","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -v - 65, -3*v - 2*c + 13 + 30 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.4039149\nAnswer: 0.16156596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 827 = -2*b, 2*j + 3*b = 6*j - 680. Let f = j - 665\/4. What is the closest to 0.1 in 2\/5, -0.3, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40422, 80917, 121412, 161907?\nAnswer: 202402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 + b**2 - 17*b + 17*b - 8 - 2*b**2 to r*b**3 + t + u*b**2 + d*b and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - x. Let g(v) = v. Let k(o) = -g(o) - i(o). Let d(f) = -6*f**2. Determine d(k(u)).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*d**3*k + 19*d**3 + 7339*k with respect to d.\nAnswer: -240*d**2*k + 57*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 954*r - 81735. Give n(-365).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-7)*o)\/((o**4*o)\/o*o)*o**(1\/9)\/(o**(-7)\/o))\/((o*(o\/(o\/(o\/o**(-1))))\/o)\/o*o*o**1*o*(o**(-2\/7))**(-31)) assuming o is positive.\nAnswer: o**(-929\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 196 + -195. Put c, -1, -8 in decreasing order.\nAnswer: c, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.36? (a) -1\/2 (b) 2\/15 (c) -269\/3 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -26. Let a(m) = r*m - 4 + 6*m - 24*m + 10*m. Let j(h) = -h - 2. Calculate -2*a(l) + 5*j(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, f: 3, a: 4}. What is prob of sequence af?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyz when three letters picked without replacement from pzyzpzczzppzpz?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*a*u - 4*a*w**2 + a - 18*u*w - 3*u - w**3 with respect to w.\nAnswer: -8*a*w - 18*u - 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((15\/12)\/5). Solve -y - y = -x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -771 - 979 = -6*m - 19*m. Solve 5*z + m = 3*n + 60, 2*z = 5*n + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/3))**(-39)\/(p\/(p\/(p**(1\/3)*p))*p)**(1\/27) assuming p is positive.\nAnswer: p**(-4219\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 4*q - 3. Suppose 5 + 0 = -s. Calculate h(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 - 80.4. Let p = 5 - 4. Let o be 2\/3 + -3 + p. Put o, 4, i in increasing order.\nAnswer: o, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11168?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**2 - 2*s + 5*s - 3*s.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 12) to base 16\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*x + 155 = 48*x - 49*x - 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.001675069 rounded to five decimal places?\nAnswer: 0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -22. Which is the third smallest value? (a) f (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2869872065 to the power of 1\/2, to the nearest integer?\nAnswer: 53571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 n when four letters picked without replacement from {p: 4, n: 14}?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -121*s + 125*s - 64, 3*s = 3*o + 48 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.4 (c) 903221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11242120 + -10?\nAnswer: -11242130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 80507.06 centuries?\nAnswer: 8050706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 - 193. Let m = -79 - u. Let i = 71 - 71.4. Which is the second biggest value? (a) 3 (b) -0.1 (c) m (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 5:24 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-4)\/180*(-384 - -375).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = -19 + 3. What is the hundreds digit of (-4 + 33)\/(r - (-16)\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1298 (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 13 = -5*z + 4*l, -3*z - 5*l = -35. Suppose -z*n + 0*n + 5015 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.112 and -0.03.\nAnswer: -0.00336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.4 and 7.\nAnswer: -93.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 0*g + 0*g)*(g**2 + 5*g**2 - 4*g**2) - 5*g**3 + 7*g**3 + 8*g**3 + 2*g - 2*g - 2*g**3 to the form z*g + s*g**3 + i*g**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16\/7 (b) -4 (c) 0.03 (d) 0.3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 134. Let i be y(44). Suppose 0 = -i*x + 4, -5*x + 16 + 0 = 3*f. Solve 2*l + 6 = -4, -5*l = -f*o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 77. Solve 2*c - 2 + q = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*q**3 - 184*q**3 + 94*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1904595 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360923200 and 640?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44821786007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-156 - 88 - 57)*(0 + 0 + 2)*(1 + 1 + 1)*(-2*s - 4*s + 3*s) to the form p + b*s and give b.\nAnswer: 5418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1182, 156, -1, 433 in decreasing order.\nAnswer: 1182, 433, 156, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 122002969159 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 fifths of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5772 divided by -1443\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 544 - 103. Let p be 6867\/m + 8\/14*-1. Which is greater: p or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63302.071 - -63472. Let y = 250 - 80. Let u = y - v. Round u to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16979 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 1\/5, -3, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 5*b**2 + 8*b. Let d be g(6). Suppose 0 = 4*k - 4*u - 7 - 13, -5*u = -k + 17. Is (d\/3 - k) + 109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 2*z - z)*(-5*z - 7*z - 4*z)*((3 + 12 - 2)*(0 + 1 + 0) + 1 - 1 + 2)*(-5 + 4 - 1) to f + j*z**2 + t*z and give j.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/((-12)\/(-9)) - (-335)\/(-60) and -33\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6200*p. Let l(h) = 2*h - 6. Let b be 6*(2\/3 + 0). Let d be l(b). Let g be n(d). What is g rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 31. Let y be a\/(-9)*(-9)\/(-30). Let u(x) = -x**3 + 5*x**2 + 1. Let f be u(5). Is f not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 4*s**2 + 4*s + 2. Let k be x(-2). Find the common denominator of 34\/11 and k + 298\/(-12) + -2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -210.4 - 305.2494275.\nAnswer: -515.6494275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine fifths of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 2*f - 20, -1645 = -4*j + 3*f - 1618 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7878 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88300 and 194260?\nAnswer: 971300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11803?\nAnswer: 11, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 3*i**2 + 22*i + 10. Determine v(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425785.\nAnswer: 5, 31, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + 3*sqrt(1100))*-3)**2.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 4:45 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*u - 11, -4*k = u - 2 - 6. Suppose 43 + 26 = k*o. What is the remainder when 136 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 divided by -449081?\nAnswer: -639\/449081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 64745, 129502, 194273, 259064, 323881?\n\"Answer: x**3 + x**2 + 64747*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 + 2*d**2 - 6)*(0 - 5 + 4)*(-1 + 2 - 11)*(-3 - 2 + 0) - 9*d + 14*d**2 + 9*d to w + g*d + u*d**2 and give w.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000051784581 to 7 decimal places.\nAnswer: 0.0000518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.784 + 11.341. Round r to 2 decimal places.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7981 (base 10) to base 16\nAnswer: -1f2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(416))\/sqrt(2) + 1*(sqrt(13) + sqrt(117) + -1) + 5 + sqrt(637)*-2 + sqrt(637) + 5 + -4)**2.\nAnswer: 130*sqrt(13) + 2222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/5, -1139?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2389.41 - -2399. What is h rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - (-1 + 0 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41166 by -3.\nAnswer: -13722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (158\/395)\/(4\/70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3368.42 * -0.3.\nAnswer: -1010.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 63 - 9. Let x be 0 + (0 - w\/60). Let q = -2 - -1. Is q less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 + 290*t\/3 - 196.\nAnswer: 2*(t - 2)*(t + 147)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((63\/(-60))\/(-3))\/((-1798)\/(-79112)).\nAnswer: 77\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 87\/27 + 4\/(-18). Suppose 21*s - 19*s + 365 = 75*s. Let v(p) = -p + 4. Let j be v(2). Solve 0 = a*q - h + 16, -s*q - h - 26 = -j*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 10*b + 1. Let p(k) = k + 11. Let c(u) = -d(u) + 3*p(u). What is c(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u + 12, 15 = r - 5*u. Solve 2*k + 2*o + 8 = r, 2*k + 8 = -3*o + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 45*m**2 - 99*m - 2. Let g be b(3). Solve -5 = 4*l - 3*k, -5*k - 87 = 4*l - g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*v + 8, -5*v = -4*o + 16 + 20. Let d = 2.1 + -2. Which is the third smallest value? (a) 2 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 6*b = 37*b - 15*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 14. Suppose f - q = 1. Suppose t = f*t - 350. What is the greatest common factor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/30 - 8*2132\/320?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 75810.\nAnswer: 151620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-4)*1)\/((-11)\/(-418)*893).\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143 - -200. Let x be (-95)\/r*(-51)\/1. Suppose -x - 115 = -4*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2778.3 * -0.1.\nAnswer: 277.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, g: 4}. Give prob of picking 3 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*k - 26. What is the remainder when 387 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 5:12 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/(-21) + 6 + -4. Let g be (-80)\/504*-3*(-3)\/(-5). Factor c*s**3 + g*s - 20\/7*s**4 + 6\/7*s**5 - 12\/7*s**2 + 0.\nAnswer: 2*s*(s - 1)**3*(3*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32345 divided by -101?\nAnswer: 32345\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or -152?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Let a(m) = 4*m**2 - 8*m**2 - 2*m**2. Give a(l(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7652 is divided by 132?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40511320, -40511316, -40511312, -40511308?\nAnswer: -40511304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**3 + 2*r**2 - 2*r. Let y(l) = 15*l**3 + 11*l**2 - 11*l. Let a = -78 + 67. Calculate a*u(j) + 2*y(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/74 in -4.83, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v**2. Let i(y) be the second derivative of y**3\/6 - 16*y. Give i(n(r)).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 704 - 446*l**2 - 2*l + 7*l - 681 + 4*l.\nAnswer: -446*l**2 + 9*l + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 112291741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -351, -353, -357, -363, -371, -381?\n\"Answer: -r**2 + r - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 4752?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m - 7. Let d be v(-4). Which is the second biggest value? (a) 0.4 (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1209*x**2 - 2421*x**2 + 1221*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -11*k**2\/2 + 87*k + 73. What is the least common multiple of p(7) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 1.1 (c) 1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8009 divide 2227274434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 8:25 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**4\/12 + 5*g**3\/6 + g**2 - 3*g. Let d be s(-6). Let w = 16 - d. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 10:56 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 4*j**2 - 3*j + 1. Let v be s(-5). Let b = v + 16. Let y(g) = -b*g + 7*g - 2*g. Let a(q) = -5*q**2. What is y(a(n))?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = 132. Let j = z + -27. Suppose j = v - 3. Calculate the greatest common divisor of v and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 3*sqrt(468) - (sqrt(468) + sqrt(468) + -4 + -4)) + (-5 + sqrt(468)*2 - (sqrt(468) - (-5*sqrt(468)*-5 - sqrt(468)))))**2.\nAnswer: 936*sqrt(13) + 316377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-6)*3*2. Suppose 4*s = a + 34, -5*s + 4*a + 38 = q. Let d be ((s\/(-2))\/3)\/(-6). Sort -3\/2, 0.5, d.\nAnswer: -3\/2, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -17\/766 (b) -11\/4 (c) -4 (d) -3\/10 (e) 5 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k + 570. Suppose -j + 477 = 4*j - n, 0 = 3*j - n - k. Suppose 4*z - 63 = -3*q + 9, -4*q + j = -z. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004194828042 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/9 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1914.\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 2750890 = -53*u + 282*u. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -j - 0*a - 4*a, 5*j + a = 17. Suppose -4*y + j = -1. Let z(x) = 56*x - 3. List the prime factors of z(y).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/22)\/15*(21 - 45).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 divided by 6?\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -379, -408, -437, -466?\n\"Answer: -29*l - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 290 by 290.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - 22. Let v = w - -28.1. What is the closest to 1 in v, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**4 - 7389392*n**3 - 3412702022472*n**2 - 6825352319280*n + 10238061731148 = 0. Calculate n.\nAnswer: -923673, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -526, -2653, -6248, -11353, -18010, -26261?\n\"Answer: -7*s**3 - 692*s**2 - 2*s + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 250467855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:18 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7689820.9 - 0.19517946.\nAnswer: 7689820.70482054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146104 is divided by 24238.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 - 4*g**2 + 6*g**2 + g**3 - 8*g**3 - 1 to b*g**2 + t*g**3 + i + c*g and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2138688 and 131\/288.\nAnswer: 2138688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - q - 2. Let a(u) = u + 5. Let p be a(-7). Let g be c(p). Suppose 2*w - g = w. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 39*w**3 - 6*w**2 - 30*w. Let v(j) = -38*j**3 + 6*j**2 + 31*j. Let i = -221 + 215. Let m(s) = i*v(s) - 7*p(s). Suppose m(q) = 0. What is q?\nAnswer: -2\/3, 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5775446.96651 - -5775657. Let y = j - 0.92249. Let r = 209 - y. What is r rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5513574 - -1?\nAnswer: -5513573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -32*v**2. Let o(h) = -4 - 10 + 2*h + 14. Calculate o(m(k)).\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-115)\/25 + 5)*220. Suppose f - c + 19 = 0. Calculate the remainder when (1 - (5 + -4)) + f is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1305028390 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*k - 2*k**2 - 100*k - 61*k - 128*k.\nAnswer: -2*k**2 - 193*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 9 + 6. Let h(j) = j - 1. Let g be h(x). List the prime factors of ((-30)\/4)\/((-1)\/g).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*z + 19, w - z - 10 = -0*w. What is the highest common divisor of 63 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + ((sqrt(3) - (sqrt(432) + 0)) + sqrt(432) + 0 + sqrt(432))**2 + 2).\nAnswer: -2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbbbbbbq. Give prob of picking 1 b and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21041111 - 5?\nAnswer: -21041120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1671 - -1808. Are 5 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/3 + 28*l**3 - 464*l**2 - 15824*l\/3 - 8464.\nAnswer: -(l - 46)**2*(l + 2)*(l + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*a + 7 = -108, 106 = -x + 5*a. Let j(p) = -13*p**3 - 2*p**2 + 2*p + 2. Let i(b) = -781*b**3 - 121*b**2 + 121*b + 121. Calculate x*j(r) + 2*i(r).\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -2. Let h = 1.32 + -6.4. Let o = h + 0.08. What is the third biggest value in 2, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-28))\/((-55)\/(-5005))*(140\/(-15))\/7\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 126\/5, -6, 4, 2\/3, -57, -23?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*u - 2. Suppose -1 = 2*n - 7. Suppose n*x - 40 = -u*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.6849 + -0.0551. Let v = 3.75 + t. Round v to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101521099?\nAnswer: 523, 194113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14, -57, -128, -227, -354?\n\"Answer: -14*p**2 - p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 v when three letters picked without replacement from {z: 1, v: 9, k: 8, t: 2}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2706 + 2710. What is the fourth smallest value in 1.1, s, 3, -3\/10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/628 and 16\/2355.\nAnswer: 9420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*p - 507941 = -528162 for p.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 599157719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22287874.1 rounded to the nearest one hundred thousand?\nAnswer: -22300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -5*m**3\/6 - m**2 + 2*m. Differentiate s(l) with respect to l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22848 and 1456.\nAnswer: 297024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.56 - 201.44. Let t = 197872319 + -197872522.999919. Let i = f - t. What is i rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**3 - 41*z + 3*z**3 - 8*z + 17*z - 5*z**4 wrt z?\nAnswer: -60*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.064 - 4.4. Let r = i - -0.166. Let y be (-1)\/(-3)*(-6)\/(-4). What is the closest to y in -2, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.0354, 4, 3?\nAnswer: -0.0354","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -20.1. Let z = 2 - d. Which is smaller: z or 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 911.8 + -911.74817. Let h = u - 0.02294. What is h rounded to three decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34836325 by -5.\nAnswer: 6967265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -161 - -161.3. What is the smallest value in j, -3, 0.4, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3533206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*l + 70*l + 168*l**2 - 31*l as t + c*l + d*l**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3069126019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-8)\/(-6) + (-3091)\/(-33). Differentiate 5 + z*i**3 + 94*i**3 - 182*i**3 with respect to i.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13284 divided by 82?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)\/((-56)\/(-16)). Let m = 0.3 - 1.3. Put l, 5\/2, m in decreasing order.\nAnswer: 5\/2, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d = -54*d - 30*d + 1199 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3974475 millimeters to centimeters.\nAnswer: 0.03974475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 377782.8 nanometers in millimeters?\nAnswer: 0.3777828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1402 + -796. List the prime factors of d.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/64 and -41\/24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051361 rounded to four decimal places?\nAnswer: -0.0514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 398956?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of ((-2)\/3)\/((-18)\/2052)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1933172 is divided by 966585.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 2*n - 49. Let h be g(16). What is the second derivative of 24*f - 63*f**3 + h*f**3 - 79*f**3 wrt f?\nAnswer: 198*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 15. Let i = 0 - t. What is the nearest to -0.1 in 4\/7, i, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.471 times 589?\nAnswer: -866.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -25.\nAnswer: -9\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6) + (-1)\/3. Let x be -2 + (-10)\/(-3) + d. Let s be (-15)\/3 - 152\/(-32). What is the nearest to s in 1, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 908*n**3 - 24*n + 22*n + 440 - 907*n**3 in the form f*n**3 + t*n + w + v*n**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 770 and -351629504?\nAnswer: 351630274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -58539 and 0.0237896.\nAnswer: -58538.9762104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 11:34 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*y - 9, 0 = 3*y + 3*z + 2*z + 7. Suppose 0*r - 4*r - 12 = 0. Let l be 0\/(-4) + 1\/r. Is l at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*s - 937 = 0, 4*h - 933 = -11*s + 10*s. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + y. Let q(c) = c**2 - 2*c + 10. Calculate 2*o(f) + q(f).\nAnswer: -f**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 68*((-5)\/4 - -2). Let w be (5 - -349) + -457 + 494. What is the highest common divisor of a and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((35\/(-56))\/(-5))\/(27\/18)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(3) + sqrt(13) + 1 - (sqrt(78) + sqrt(78)*-3 + sqrt(78) + sqrt(78))\/sqrt(6).\nAnswer: 1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -176 + 187. Suppose -7*x = 4 - f. Solve g = -i - 7, -i = -2*g - 7 - x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(5) + sqrt(5) + sqrt(20))*-2)*-3)**2.\nAnswer: -720*sqrt(5) + 3105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-9 - -6) - (13 + (0 - 42))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757 (base 9) in base 3?\nAnswer: 1211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5. Let h(o) = -6*o**3 + 14*o**2 - 13*o + 2. Let q be h(1). Let a(w) = -w - 4. Let d be (2\/(-3))\/(3\/(-9)). Determine d*s(i) + q*a(i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 252, 257, 266, 279, 296?\n\"Answer: 2*p**2 - p + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**3*x**3 + m**3*x**2 - m**3 + 83018584*m*x**4 + 5*x**2 - 2480870*x wrt x.\nAnswer: 6*m**3 + 1992446016*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.402055 rounded to two dps?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - ((-20 - -2) + -9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1090 + 403*s**2 + 79*s**3 - 1090 + 60*s**2 wrt s.\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(3*b - b + 10*b)*(-2*b**3 + 3 - 3).\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**2*x - 5173356*q**2 - 21*q*x - 2*q - 3*x + 17 wrt q.\nAnswer: 4*x - 10346712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**2\/9 + 4*b\/3 + 10\/9 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3288433171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o - 145985 + 145985.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**4\/12 + r. Let f = 2 - -25. Let x(a) = f - 3*a - 27. Calculate z(x(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 6*r + 15. Calculate the lowest common multiple of r and 19.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-1) - 5\/(-1). Let t = -256 - -256. Which is the closest to t? (a) 1\/2 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 201, 356, 511, 666, 821?\n\"Answer: 155*c + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*x - 16, -3*y + 10 = -2*x + 4*x. Let z(m) = x*m**3 - 6*m**2 - m**2 - 3*m**3 - 2*m - 4. What is the smallest common multiple of z(-7) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + aa7687?\nAnswer: aa7690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12289 + 1462407\/119. Let i = r - -7227\/238. Let o = -1\/4568 + -116473\/50248. What is the common denominator of i and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -10. Let z = -65 - b. Is (z\/(-6) - 1)*9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920328895 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*h**4 + 170240*h**2 - 37370874*h.\nAnswer: 252*h**2 + 340480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.012308 + -3.5\nAnswer: -3.512308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1.8. Let i = -590 + 595. What is the second smallest value in i, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27342 divided by -27342\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3 - 29748*h**2 + 4366293*h - 4336548 = 0. Calculate h.\nAnswer: 1, 148, 9767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3327.522 months to decades.\nAnswer: 27.72935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46*(-6)\/(-60) - (-2)\/5. Solve -2*b = -b - l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 1144 - 2600 = -133*l - 66*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11\/(-33) + (-11)\/(-6))*2. Suppose -16*k + 15656 = x*k. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 10. Let c be p(-8). Let j be c\/(-9) - (-4)\/3. Is 5 - j - 6 - -6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1. Let d = -32 - -33. Let i(z) = 19*z - 21. Let v(o) = d*i(o) + 4*y(o). Is v(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(6\/7)*f))\/(f*f**(-12)) assuming f is positive.\nAnswer: f**(71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1219*n - 19. Let b(l) = 1219*l - 18. Let z(u) = 5*b(u) - 4*p(u). Let x be z(6). What is x rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 10:13 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6620 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -442, -594, -714, -796?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -76, -0.04, -0.4?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -3*x**2 - 1\/10*x**6 - 6*x + 0 + 3\/4*x**5 - 9\/4*x**4 + 7\/2*x**3. Factor n(v).\nAnswer: -3*(v - 2)*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*s + 2*n, -5*s + 36 = -4*n + 6*n. What is the units digit of 869\/5 - 2\/20*s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 4*y + 346, 2*r - r - 75 = -5*y. Let i = -38 + r. Suppose i*a**3 + 46*a**2 + 4 - 20 - 32*a - 20*a**4 - 10*a**2 = 0. Calculate a.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -10953, -600 in ascending order.\nAnswer: -10953, -600, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -528722+189127873\nAnswer: 188599151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 875 and 731360.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -4*m**4 + 0 + 0*m - 1\/5*m**6 - 4*m**2 + 1\/70*m**7 + 6\/5*m**5 + 8*m**3. Let w(p) = 0. Calculate p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*c**2 - 2*c**2 + c**2)*(c + 2*c - c)*(-238 + 238 + 32*c).\nAnswer: 1216*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 136501891?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 271437*r**4 - 542802*r**3 + 271293*r**2 + 72*r = 0.\nAnswer: -24\/90479, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 7. Let i(d) = 4*d - 36. Let p(g) = -2*i(g) + 11*k(g). Let o be p(-5). Let a = 36 + o. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112.1 - 112. Is u at least as big as 11\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -6. Let j = l + 1.5. Let h = 0.4 - j. Which is bigger: 1\/2 or h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5936119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + f - 37 = 0, -4*j + 5*f - 82 + 11 = 0. Let y = j - -22. Suppose -g + 4*m + 63 = 0, -y*g - 3*m = g - 214. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -y + 5*d + 22, 4*y - 88 = -3*d. What is the greatest common factor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 13*v - 19. Let b be j(-10). Let t(l) = 8*l - b - 10*l - 7*l. What are the prime factors of t(-7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a*g**5 + 19*a*g + 18781*a - 10080*g**4 - 18*g**2 + 3*g wrt g?\nAnswer: 160*a*g**3 - 120960*g**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (11 - (4 + -3 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p + 10. Let f be g(-1). Solve 2*m - 10 = c, 4*c + 2*m - m = -f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from lllllxxllxllll.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4865574 a multiple of 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35740 is divided by 108.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.1, -11\/7 in ascending order.\nAnswer: -11\/7, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151 + 156. Calculate the remainder when 10 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 2, 21, 4\/19?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -6*a - 7. What is the first derivative of 121 + 14*x**2 - 17*x**2 + 3*x**a - 86*x**4 wrt x?\nAnswer: -344*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**5\/120 - g**4\/12 - 11*g**3\/3 - 2*g - 91. Let y(f) be the third derivative of w(f). What is y(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50904\/(-10 - -19) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, 55, 165, 337, 577, 891?\n\"Answer: l**3 + 22*l**2 - 19*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, 688, -1\/2, 5, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**3 + 3*l**3 - l**3)*(4 - 3 + 1)*(6*l - l - 9*l).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 46*o**2 + 386*o + 24. What is v(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1078562 + -672933. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - (-9)\/(-9)) + 39. Suppose 23*p - q = 21*p + 16, q = 5*p - k. Solve 5*z - 10*z = -p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from fehgcjegjhfeec?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8750\/11 - -796. Let n = -75.96 + 82. Let d = -0.04 + n. What is the closest to 0 in d, -2\/9, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 502320 and 1051284.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 369368116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 1\/4 (c) 21\/6047 (d) -1\/3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*o + 11, -2*o = 5*r - 0*r - 26. Suppose -4*s = -9*s + 2*a - 6, a + 6 = -2*s. Sort r, s, -4 in descending order.\nAnswer: r, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/6)\/(4\/12). Let o be (1 + -2)\/(j\/106). Let s = o + -22. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 + 13*u + 12. Determine v(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 bigger than -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 12*b + 22. Let p be a(-11). Calculate the greatest common factor of p and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 11:29 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*q + 3 - 3 + 38*q to v + x*q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*m - 131, 5*y = -5*m + 93 + 72. Suppose 3*z + 12 = 6*z. Suppose -46 = -5*j + z. Calculate the remainder when y is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 - 54 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a day in minutes?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -2, 4, -2\/7, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c2eba - -1d?\nAnswer: 3c2ed8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 590 = -3*l + 7402, -r + 1376 = 4*l. Suppose 680 = 2*x + 5*h, -17*x = -13*x + 5*h - r. Is x a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2164, 2884, 3604, 4324, 5044, 5764?\nAnswer: 6484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 1906\/143?\nAnswer: 1906\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 582402683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -208 - -222. Let z(h) = h**2 + 3*h - 2. Let l be z(6). Suppose -4*o + 48 = -l. Calculate the remainder when o is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1376616813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2639*a**2 + 319*a - 319. Let i(l) = 33*l**2 - 4*l + 4. Give -319*i(c) - 4*n(c).\nAnswer: 29*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/201 - 428\/2613. Let n(p) = -65*p + 25. Let u be n(16). Let r = u - -1071. What is the smallest value in -3\/5, w, r, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 18 = -2*c - 3*d, c - 5 = 3*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370170 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 19, 3, 3\/4, -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 8\/29491?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564682 = 8745*l + 188647 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 76 = 9*b, -4*b + 104 = 224323*n - 224329*n for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 2*h - 14*h**4 + 65*h**3 - 67*h**3 + 21 to r*h + z*h**2 + y + q*h**3 + l*h**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -8 + 0 + 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -144.01 - -143. Let j = r - -4.01. Which is the closest to 4? (a) 0 (b) j (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -d + 1. Suppose 0 = -u - 3*u. Let t = 7 - u. Calculate the lowest common multiple of d and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 8926*b - 19 + 19.\nAnswer: -8926*b - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -279081*h**2. Let g(r) = -22*r**2. Calculate g(l(w)).\nAnswer: -1713496500342*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v**2 - 11. Let n(f) = 3*f**2 - 4. Let l(r) = -6*g(r) + 17*n(r). Let a = 199 - 194. Let w(q) = 4*q**2 - 2. Give a*w(d) - 6*l(d).\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2159 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -220102?\nAnswer: -220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7. Solve -5*f + 3*o = -22, -f - 2*o - 2*o - 14 = t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231a89 (base 11) to base 16\nAnswer: 5a017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 3*s + 1. Let p(u) = u**2 - 3*u - 1. Let f be p(4). Let o be y(f). Let m = o + 10. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10169, 40386, 70605, 100826, 131049?\n\"Answer: d**2 + 30214*d - 20046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(2\/6)\/(-1). Let s = a - -5. Let x be 3*8\/s + -1. Solve u = -x*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(8 + (-16 - -5)))\/(2\/(-32)). Which is bigger: m or -670\/43?\nAnswer: -670\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1 - 627*t - 375*t + 1623*t - 617*t. Suppose 0 = 3*u - 7*u + 16. Let j = -3 + u. Calculate k(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Let j be p\/(-4) - (-15)\/(-6). Let m = 8 - j. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(6 + -2 - 5). Is (0 - q)*(-13)\/((-455)\/2667) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (8 - 20) + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 284*o*w**3 - 3*o*w**2 + 21*o*w wrt w.\nAnswer: 1704*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477*k - 20 = 475*k. Let h(a) be the second derivative of a**3\/6 + a**2\/2 - a. Let d be h(k). Calculate the greatest common divisor of 121 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*z + 615, -3*z - 606 = 2*z - 4*o. Calculate the common denominator of (-60)\/(-24) + 343\/z and -15\/4.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 1 + -3 + -1. Put 0.2, -3, v in increasing order.\nAnswer: -3, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**2 + 13*w + 11. Let s(y) = 3*y**2 - 7*y - 6. Let q(r) = -6*j(r) - 11*s(r). Let n be q(-3). What is the greatest common factor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 29. Let r be i*4\/12*27\/(-2). Let x(v) = v**3 + 8*v**2 - 10*v - 9. Determine x(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21\/(-35) + 46\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 54000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 31 + 0*c + 0*c**2 - 2\/39*c**3. What is d in t(d) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -82*l**3 - 4*l**2 - 33*l + 1. Is f(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (97\/(-4)*2)\/(7\/14). Let o = 272 + g. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btj when three letters picked without replacement from {j: 3, t: 1, b: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -3*b**2\/2 - 21*b - 8. Let o(m) = 1. Let n(x) = 2*c(x) + 42*o(x). Let r(a) = -1 + 2*a + 1. Calculate n(r(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258078?\nAnswer: 2, 3, 43013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 946\/946*(3 + (-34 - -2) - 2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*h = 5237 - 3397 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-6))\/((-1)\/3). Let t be 7\/c - (-2)\/8. Let s(m) = m**2 - m - 1. Determine s(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 3, d: 1, n: 1, c: 4, f: 4}. What is prob of picking 1 d and 1 i?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -14.5. Which is the nearest to 1\/5? (a) p (b) -3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*s = -13, 454*s = 3*j + 449*s + 34. Sort -70, j, -12.\nAnswer: -70, -12, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) -0.2 (c) -11\/30 (d) 0.2 (e) -33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2823.6 minus 7?\nAnswer: -2830.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 304155227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 5*k**4\/24 + 12*k**3 - 1217*k**2 - 2*k. Determine a(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 389, 583, 777, 971?\nAnswer: 1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79371, 158728, 238085?\nAnswer: 317442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 418.1 + -418.3. Which is the third smallest value? (a) q (b) -4 (c) -620\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.8 and 976 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 15594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29700 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 3*q - q)*(2*q + 2*q**2 - 2*q) + (57*q - 57*q - 17*q**3)*(-4 + 0 + 1) to the form h*q + i*q**3 + b*q**2 + a and give i.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -0.25643899911.\nAnswer: 3.25643899911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002006 to seven decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g - 195000 = -11*g. What is g rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2\/3 + 12180*n - 55632150 = 0?\nAnswer: 9135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i. Let d(f) = 2*f. Let t be (0 - -4)*(-3)\/4. Let m(r) = t*d(r) - 4*y(r). Let x(p) = 8*p + 10*p - 22*p + 6*p. Calculate x(m(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0 + 0)*(-4 + 3 - 1 + (1 - 2 - 1)*(6 - 3 - 2) + 3 - 5 + 4 - 1 + 0 + 4)*(-3*q**4 + 2*q**4 - q**4)*(-4 - 4 + 9).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/3)\/((-2)\/6). Let p(y) = y**3 + y**2 - y. Let c(u) = 9*u**3 + 3*u**2 - 4*u. Let h(k) = -c(k) + 4*p(k). Let i be h(1). Does i = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 19, 41, 73?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -71 + 1139*a**2 + 61 + 10 as q*a**2 + h + f*a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -59.4 less than 20\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -133 and -0.23007.\nAnswer: 30.59931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/6 - -3)*8. Let j be 1 + (d\/(-4) - 0). Does 2 divide 1 - j - (2 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5595695 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 3\/2*v**2 + 4\/3*v**3 + 0 - 18*v. Is n(6) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17108662, 34217330, 51325998, 68434666, 85543334?\n\"Answer: 17108668*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 1. Let q(j) = -2*j + 2. Let h(s) = 4*q(s) - 3*z(s). Let w(x) = 2*x - 4. Let u be 6*4\/(-3) + 6. Give u*h(t) - 3*w(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86465527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(t - 3*t - 2*t)*(-20 - 6*t**4 + 20).\nAnswer: 48*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6705557466.0004251 + 6705557065. Let d = z + 401. What is d rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/16 and 71\/36516.\nAnswer: 146064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1755*u - 1757*u + 9625*u - 1752*u - 1750*u - 2613*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 780*f**2 - f - 1. Suppose -4*u = o + 15, -2*u - 11 = -2*o - o. Is w(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q + 2*q)*(86*q + 7*q**4 + 1807697 - 1807697).\nAnswer: 14*q**5 + 172*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -121*k**9\/60480 + 11*k**8\/5040 - k**7\/1260 - 5*k**5\/12 - 30*k**2. Let h(t) be the third derivative of z(t). Factor h(s).\nAnswer: -s*(11*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 118 + 107 + 6*u + 384*u**4 - 6*u - 2157 wrt u?\nAnswer: 1536*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/13 + 144*t**2\/13 - 2856*t\/13 + 9248\/13.\nAnswer: -2*(t - 34)**2*(t - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -4 - -5)*1. Which is greater: 20\/13 or v?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -433, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -602, -2889, -6926, -12713?\nAnswer: -20250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1000799.\nAnswer: 3002397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/21)\/((-10)\/175). Calculate the remainder when 304 is divided by ((-27)\/u)\/((-4)\/40).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-45)\/(-20))\/(9\/(-6)) + 187\/306 and 68*(1 - (-7)\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19767 + 19710.845. What is o rounded to the nearest integer?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 36. Solve 0 = -0*v - 5*v + t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 394*l**4 + 371*l**2 wrt l?\nAnswer: 9456*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5923768 and 220914?\nAnswer: 159941736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*w - 160. What is the remainder when w is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -33*r**3 + 16*r**2 - 24*r - 90. What are the prime factors of a(-8)?\nAnswer: 2, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12509942, 12509941, 12509940?\nAnswer: 12509939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 27*w**2 + 125*w + 8. Let q be k(6). Factor 4*z**3 + q + 4\/3*z**2 - 10\/3*z**4 + 2\/3*z**5 - 14\/3*z.\nAnswer: 2*(z - 3)*(z - 1)**3*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3 - v - 3. Let z(s) = 35*s**2 + 8*s. Let u(f) be the second derivative of -f**4 - f**3\/2 + 7*f. Let m(n) = -8*u(n) - 3*z(n). Determine r(m(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78215142, 78215124, 78215088, 78215028, 78214938?\nAnswer: 78214812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3798 is divided by 631?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/18 - (-4)\/(-18) - -111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 4, g: 2}. What is prob of sequence gzgl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 5*x - 152. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2130*l**2. Let p(a) = 2*a. What is p(b(t))?\nAnswer: -4260*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-3) + 1\/(-3). Let m = -5 + t. Determine w so that 2*w**4 + 10*w**2 + m*w**4 + 4*w**4 - 14*w**3 - 2*w = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 2*o**3 + 0 + 1\/60*o**5 + 1\/24*o**4 + 0*o - o**2. Let j = -47274 - -47274. What is h(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*4\/(8\/(-18)). Let k(v) = -v**3 + 8*v**2 - 7*v + 7. Let c be k(l). Is c\/(-15) + (-14)\/105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1872) + 5*sqrt(208))\/(-2*-5*sqrt(196)))**2*-6.\nAnswer: -312\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 5*b**2 - 9*b + 8. Let g(l) = -l**2 + 11*l - 6. Let a be g(10). Let w be o(a). Find the common denominator of 97\/10 and (1 - 2\/3) + (-49)\/w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513790000 rounded to the nearest 1000000?\nAnswer: 514000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/6 and 91\/37188?\nAnswer: 37188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (14 - -2) - 2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 21*q + 2. Let y be w(13). Let j = y + -104. Solve o + 6 = -j*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*o + 781*o + 938*o.\nAnswer: 1545*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m**2. Let u(g) = 101*g. What is x(u(a))?\nAnswer: -61206*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 + 9*o**2 - 8*o - 8. What is m(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 5. Let m be ((-4)\/(-2) + g)*-5. Let r be (4\/m)\/(6\/(-15)). Solve -20 = -r*h - 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -3062\/139?\nAnswer: -3062\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -154492*c**2 - 7113*c + 79480*c**2 + 79925*c**2 wrt c.\nAnswer: 9826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -480*z**2 + 828 wrt z?\nAnswer: -960*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 114078 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-1) + (-28)\/(-14). Let z(l) = -l**2 - l. Calculate z(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2997 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 6:14 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6906677?\nAnswer: 6906677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -410*y**3 - y**2 + 5*y + 5. Is p(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1800379?\nAnswer: 7, 311, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/16939?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(-4*b - 2*b + 5*b) + 0 + 0 + 2*b + 2*b + 2 - 2 + 1997*b - 65*b - 5178*b to the form j + c*b and give c.\nAnswer: -3240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3*1*(-2)\/6. Let c = -0.02 + 0.33. Let h = 0.19 + c. Put 4, h, x, 0.4 in ascending order.\nAnswer: x, 0.4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 20 = 0, 6*i + 3*p = 9*i + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eewwwttwewet. What is prob of picking 1 e and 3 t?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 797 = 14*v + o, 5*v - 3*o + 1976 = 0. Let f = 397 + v. Put 2\/7, f, 0.9, -1\/4 in ascending order.\nAnswer: -1\/4, f, 2\/7, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-674)\/111 - ((-14 - 0) + 8). Suppose -2*s + 6 = -5*x, -3*x - 8 - 4 = -4*s. Are x and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**14*f)\/f)\/f**4*f**(-2\/3)\/(f*f**(-13)))**(2\/33) assuming f is positive.\nAnswer: f**(128\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/5 - 6*x**2\/5 - 39*x\/5 - 6.\nAnswer: 3*(x - 5)*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 + 5*q**3 - q - 3*q**3 - 4*q**2 - q**3. Let f be r(-4). Put 3\/4, f, -0.4 in descending order.\nAnswer: f, 3\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113228020 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -972.2901.\nAnswer: -194.45802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11109305 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -12*q**2 - 119*q - 5. Let y be h(-11). Let d = -199 + 351. Let x = d + y. Sort -3, x, -5 in increasing order.\nAnswer: -5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 5*t**2 - 11*t**2 + 6 + t.\nAnswer: -6*t**2 - 4*t + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8*-3*1\/(-6*(-3)\/(-2))*-9\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3 - 2025428*j**2 - 512798873730*j - 2051163088200 = 0.\nAnswer: -506355, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p**(1\/5)\/p))))**(2\/97)\/(p**(-2\/15)\/p*p\/p**(-1\/4)*p) assuming p is positive.\nAnswer: p**(-6283\/5820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 77*h**2 - 14*h - 4. Let t(u) = 3*u**2 - u + 2. What is -j(c) - 2*t(c)?\nAnswer: -83*c**2 + 16*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16839, 67394, 151667, 269658, 421367, 606794?\nAnswer: 825939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*y = -104*y + 1066. Calculate the lowest common multiple of y and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7191?\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -3.8.\nAnswer: -27.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 - 6667*w\/2 + 3207083.\nAnswer: (w - 5501)*(w - 1166)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-5 - 4)) + 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2487\/3692 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 12*t - 56. Does 34 divide q(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, 9, -2 in increasing order.\nAnswer: -129, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m**3 + 3*m**3 + 3*m**3)*(0*m + 4*m - 3*m)*(-34 + 234 - 28) to the form j*m + x + i*m**4 + f*m**2 + o*m**3 and give i.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/9 - (5 - (-129)\/(-27)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 43*u**2. Calculate b(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 57. Let p = 45 + h. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -414, -3823, 4, 5, 2 in increasing order.\nAnswer: -3823, -414, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = -5. Let z(q) = -4 + 4*q - 5*q - 2*q - 5*q. Is z(h) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - (-4 - 58\/(-4)) and 115\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 37, 43?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/12*18\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 28 = -4*s, 47*m - 2*s = 2*s - 14 - 8 + 53 + 70 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x**2 + 0*x**2 - 2*x**2)*(-7*x**2 - 601 + 601) to f*x**4 + d*x**3 + k + v*x**2 + z*x and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:23 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -8746 at least as big as -8743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -38. Let v be -2*w\/(10\/2). Let h(a) = a**2 + 6*a + 5. Let m be h(-6). Solve f = -0*f - v*d - 2, 2*f - m*d = 23 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-231)\/(-77))\/(1638\/12)?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16404764609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2\/3 (c) 12 (d) -4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 190 = 5*x, -x + 45 - 7 = -4*n. Let t = 11 + 2. Calculate the remainder when x is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b56 - 2?\nAnswer: -2b58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.00283541 rounded to 3 dps?\nAnswer: 4.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -284 - -286. Solve -2*a = 5*x + 21, b*x + 2*a - 4*a = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 17)\/(4 + (-39)\/9). Let i = g + 55. Suppose 0*p = 2*f + p - 57, f + i*p = 32. Calculate the remainder when 46 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 340752?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -17. Suppose -14 = 2*n - 4*n. Let d = n - v. Calculate the lowest common multiple of 7 and d.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -6) + 5*69. Let w = z + -163. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 21320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10 = -2. Let g = n - 4. Suppose 0 = -q + 2*s + 25, 4*q - 85 = -g*q + 5*s. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*l - 428 + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 444.\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(570) + -4*(sqrt(570) + -2*sqrt(570)))\/(sqrt(60)\/(2*sqrt(6))))\/(sqrt(6)\/(sqrt(2) + sqrt(16)\/sqrt(8)) + sqrt(30)\/sqrt(250)) + -5.\nAnswer: -5 + 100*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-28)\/v)\/(v*(v\/(v**39*v))\/v*v))**(1\/62) assuming v is positive.\nAnswer: v**(9\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*n - 42. Let m(y) = -y + 9. Give m(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*y - 14 = 226. Let w(o) = -3*o**2 - 12*o - 5. What is w(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-318)\/(-1431)*3*-1*(-54)\/(-96).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6995216.7 microseconds to days.\nAnswer: 0.00008096315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from wwwwwjjjjwjwww?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/231)\/(4\/(-7)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.38 - 0.43. What is j rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 11. Let l be (-12)\/(-10)*(-10)\/z. Let q = 2.89 + 0.11. Sort 0.1, l, q in decreasing order.\nAnswer: q, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 26*m**2 - 7. Is h(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/2 + 2)*((-6538)\/(-546) + -12)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - 4*x**2 - 1. Let u be m(3). Let o be (u\/5 + -3)*2. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 271. Let c(n) = 2*n. What is f(c(h))?\nAnswer: 2*h + 271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148 + -293. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 5*t + 22 - 20)*(-17616 - 4*t**4 + 82*t**3 + 17616 - t**4 + 0*t**4 + 0*t**4 + (-5 + 2 + 1)*(-2*t**4 + 4*t**2 - 4*t**2)).\nAnswer: 4*t**5 - 330*t**4 + 164*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/5*(-50)\/105. Let p = -1\/28 + m. Which is the second biggest value? (a) 1 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -134 + 50. Let m = w - -88. Suppose m*t = 5*t - 4*k - 173, 5*t - 789 = k. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 31?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - -33. Calculate the lowest common multiple of x and (-38)\/(-9) + 0 + (-956)\/4302.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*g**2 - 52851*g + 15858.\nAnswer: -3*(g + 1762)*(10*g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6812*u + 0 + 0 - 3383*u - 3435*u. Let k(j) = -3686*j**2 - 228*j. Let r(w) = 81*w**2 + 5*w. Let o(n) = -5*k(n) - 228*r(n). Give s(o(c)).\nAnswer: 228*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3074 - 3070.481. Let f = y + -0.519. Let u be (1 - 2)*(-2)\/(-10). What is the biggest value in f, -1, u, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/2)*s*s)\/s**3*s**(-1\/3)\/(s**(-1)\/s))\/(s*s**(2\/25)*s**(-2\/7)*(s**(-2\/5))**(-28\/9)) assuming s is positive.\nAnswer: s**(-5897\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 381*r + 932. Is c(51) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109*s**2 + 105*s**2 - s**3 - s**3 - s**3 + 0*s**3 + 2*s**3 + (s**3 - 4*s**3 + 2*s**3)*(-4 + 2 - 6).\nAnswer: 7*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -9*a**3 - 53*a**2 + 8*a. What is s(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 78 (b) -23 (c) 51 (d) 0.17 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 5. Let y be 5*(-5)\/25*3*-3. Let h(t) = -7*t + 11. What is y*p(v) + 4*h(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-58)\/(-18) - (-2 - 5\/(-1)). Determine t, given that o*t**2 + 2\/9 + 4\/9*t = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3. Let r be (9\/6)\/(-3) - (16 + -61)\/(-90). Put 100, -3, r, z in descending order.\nAnswer: 100, z, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -29. Let s(b) = -b**3 + 8. Determine s(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 27. Suppose 2*t = -4*c + 22, 3*c = 3*t + 20 - 8. Calculate f(c).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*p + 5*p - 525, -p = -4*f - 124. Let o be (-42)\/p + (-2)\/(-13). Sort -3, o, 1 in increasing order.\nAnswer: -3, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -14*p - 27. Calculate k(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -207267, -414534, -621801, -829068?\n\"Answer: -207267*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 6.70983\nAnswer: -33.54915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 32848*m**2\/7 + 134841034*m\/7 - 269813476\/7.\nAnswer: 2*(m - 2)*(m + 8213)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**2 + 0 + 1\/12*q**4 + 0*q + 0*q**3. Let r(n) = 2*n + 52 + 48 - 100. What is r(s(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(91)\/sqrt(7) - (3 + 1 + sqrt(832)))**2*4.\nAnswer: 720*sqrt(13) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*v + 7 = 381*v - 105 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*x**3 - 140*x**2 - 3348*x wrt x.\nAnswer: -72*x - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 23. Let m be p(-10). Solve 3*k - m = l - k, -l + 5*k - 3 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*((-115)\/(-15) - 4). What is the third derivative of -18*u**6 + 23*u**6 - 15*u**6 + g*u**2 wrt u?\nAnswer: -1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.308 + -80.808. Let f = y - -109. Let s = -28 + f. What is the second biggest value in s, 0.2, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*i - 148*i = 5*c + 20, c - 2*i + 10 = 0. Solve 0*w = -l + 5*w + 9, c = 5*l - 3*w - 23 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 84, 186, 318, 474, 648, 834, 1026?\nAnswer: 1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59777\/2 - -29878. Let k = -0.07 + -4.93. Put g, 3, k in ascending order.\nAnswer: g, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3234388 less than 12.5?\nAnswer: 3234400.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 4. Let b be (2 + v\/(-2))\/(-1). Suppose 5*t - 2*r - 10 = 3*t, 3*t = 2*r + 10. What is the closest to t in b, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 27*r - 102. Let g be w(-5). Suppose 7*i = -9 + g. What is the third smallest value in i, -9, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 5 (b) -1\/9 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnn when three letters picked without replacement from tbbtxqxtntbbttbttnx?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*m = 5*z + 6, -5 = z + 2*m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8773991917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -2*j**3\/3 + 518420. Let r(z) be the first derivative of -1 - 4\/3*z**3 + 0*z**2 + 0*z. What is t(r(l))?\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z - 4*r = -79, 2*z - 48 = 2*r. Suppose -1 + z = 3*u. Calculate the least common multiple of 22 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 + 2*d**3 - 2*d**3 + (-3*d**2 + 4*d**2 - 3*d**2)*(0*d - 2*d + 0*d) + 8*d**3 + 8*d**3 - 2*d - 9*d**3 as t*d**2 + r + s*d**3 + k*d and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7892971 or 7892923?\nAnswer: 7892971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -11. Suppose -f*x + 3 = -27. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 100\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 2*q. Let a(f) = -188*f**2 - 10*f. Determine 4*a(j) + 20*t(j).\nAnswer: -772*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07 or 49\/12?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 0.01, -2\/3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1859 and 242?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 6*u - 1. Give q(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - o**2 - 2*o - 4. What is the least common multiple of 18 and u(3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*i**3*x - 2*i**3 - i + 423*x wrt i.\nAnswer: 60*i**2*x - 6*i**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3052*o**2 - 1525*o**2 - 1526*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100741770?\nAnswer: 2, 3, 5, 89, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**2 + 80*b + 85 = 0.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 216 + 176 = 85*a. Let o(b) = b**3 - 4*b**2 - 3*b + 2. What is o(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 170 and 0.3.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1814731\/56 - -587782\/21. Let a = -4415 - t. Let b = -23036 - -967613\/42. Find the common denominator of b and a.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - k - 1 = 0, 3*r + 3 = 4*k - k. Let f = 365\/11 + -33. Which is the closest to -0.2? (a) r (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 5*l = 44 - 9, -16 = 4*k - l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 184 + 162 - m**4 + 12*m**3 + 13*m**2 in the form q*m**2 + c*m + h*m**4 + w*m**3 + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*h + 40, 5*l - 3*h + 42 - 2 = 0. Let o be 9\/36 + 0 + 130\/l. Is o != -87\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173695 less than 10.9?\nAnswer: 173705.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 0 - 3\/2*o**2 - 2*o**3 - 98*o - 3\/2*o**4 - 3\/5*o**5 - 1\/10*o**6. Factor w(h).\nAnswer: -3*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, m: 2, k: 5}. Give prob of picking 3 k.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 16*g**2 + 36*g + 4. Let v be o(-18). Suppose v*d = 3*d. Solve -3*q - 2*q = d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 553*n - 2077. What is r(3)?\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n + 616 - 642 = 0. Let s be (-6)\/(-3) + -5 + 32. What is the greatest common divisor of s and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -7.876, 0.28, 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10913.\nAnswer: 7, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 76 - 226 = 0. Find the common denominator of q\/9*(-12)\/14 and (-94)\/10 - (-1)\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3)\/i)\/i)**(3\/4)*(i*(i**(2\/7)\/i)\/i)**(-5\/2)*(((i\/(i*i\/(i\/i**(2\/17)*i)))\/i)\/(i**(2\/5)*i))\/((i\/(i**5\/i))\/i**(-3)) assuming i is positive.\nAnswer: i**(-3527\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3208*d**3 - 6739*d wrt d?\nAnswer: 19248*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, 5, -4, -868, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 5*f + 59 - 89 = 0, i + 2*f = 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 3*v + 2*m, -2*v - 32 + 0 = m. Let r = -14 - v. Find y such that 0 + r*y - 1\/4*y**4 + 1\/2*y**3 - 1\/4*y**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 8 = 3*o. Let f be (-1 - 0\/(-4))*o. Let g = f + -1. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 8 = -3*x. Suppose 2*w - x = w. Let m(s) = s - 4. Let p be m(8). Calculate the highest common divisor of p and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1067*v + 179072 - 110784 for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/((18\/8)\/3). Let z(j) be the third derivative of j**5\/60 + j**4\/8 - 5*j**3\/3 - 2*j**2 - 9*j. What is the tens digit of z(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -20\/7 (b) 25 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y**2 + 5*y. Let a(m) = 40*m**2 + 82*m**2 - 38*m**2 + 51*m - 19*m. Give -5*a(r) + 32*w(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x = 194. Suppose 495 = -5*i + 2*k, -65*i - 5*k - 460 = -60*i. Is i at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p + 3. Let b(r) = -4*r + 2. Let a(m) = 3*b(m) - 2*u(m). Let v(d) = 13*d**2. Determine a(v(j)).\nAnswer: -52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 171\/165)\/(6\/(-30)). What is the fourth biggest value in o, 1.5, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f**2 + 8*f - 8. Let t(k) = -k**2 + k - 1. Let r(a) = 54*a + 167. Let l be r(-3). Let w be 0\/(-15 - -33) - 1*l. What is w*v(o) + 40*t(o)?\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19940 and 451940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Suppose n = 4*a + 4*i - 17 - 3, 0 = -i + 5. Let v(q) = q + q + q**2 - 6 + a*q. Determine v(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**5 + m**5 - 6*m**5)*(3 + 1 - 3).\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 - 150. Solve -p - p = b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3308 and 5789.\nAnswer: 23156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -8*u**3\/3 - 6. Let s(h) = 2*h**2. Calculate w(s(p)).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 44501699?\nAnswer: 44501703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/3 + 172774096*r\/3 + 3731361031077152\/3 = 0 for r.\nAnswer: -43193524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, i: 3, e: 4}. Give prob of sequence hhhh.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72132086?\nAnswer: 2, 13, 2774311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-72)*(-8)\/(-12). Which is the closest to -1? (a) y (b) 9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 x when three letters picked without replacement from {i: 1, y: 4, e: 2, l: 1, x: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = u - 13, -f - 3*u + 2 = -4*u. Suppose r + a = -f*a + 1415, -r - 5*a = -1415. List the prime factors of r.\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 881328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 836, 835, 834, 833, 832?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - ((-4)\/((-2)\/(-1)) - -7). Which is the second biggest value? (a) -4 (b) 8 (c) 0 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = f - 5*r, 7*f + 24 = 3*f + 2*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4 + -2*sqrt(1539) - (0 + sqrt(1539))*-5))**2 + 3.\nAnswer: 162*sqrt(19) + 13863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -22) + (29 - (-3 - -9))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-864)\/(-11088)*(-210)\/180?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus 7791744268?\nAnswer: -7791744262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = -r - 1526, 3*r = 4*x - 1522. Suppose -8*z + x = -290. Does 28 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63.06 - 63. What is the nearest to b in 1\/5, -3\/2, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 950*p**2 - 150176*p + 7901568.\nAnswer: -2*(p - 171)*(p - 152)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 304050 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 436012.3117691 - -34871.3882333. Let n = -470883 + h. Let y = -0.7 + n. What is y rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/675 or 29\/4?\nAnswer: -2\/675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*o - 4 = 0, 0*o - 1 = -3*h - 4*o. Calculate the remainder when (-1 - h)\/(10\/(-85)) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a*g + 7*a*n**2 + 2342*g*n + 139959*g - 2*n wrt n.\nAnswer: 14*a*n + 2342*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 340 + -1018\/3. Let q = 0.58 - 0.08. Let u = -0.7 + q. Which is the nearest to 1? (a) 0.4 (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012 (base 3) to base 8.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + h = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 29, 99, 239, 473, 825?\nAnswer: 1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/3 - (13 - -22) - -71?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k - 3. Let i be u(1). What is the third derivative of -b**4 + 81*b**6 - 72*b**2 + 57*b**i + b**4 wrt b?\nAnswer: 9720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*c + 16475 = -17839 for c.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*w + 1. Let p be (4\/6)\/(w\/54). Let r = p - 2. Calculate the remainder when 20 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -9 (c) -786\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f7c3 - 5?\nAnswer: f7be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9811757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 86 - (85 + 36).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*p, -5*y + 5*p + 5 = -20. Suppose y*r - 3*w = -4*w - 134, -5*r = 4*w + 173. Let v = r - -33. Solve -n = -v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let u be p(0). Suppose u*n = 2*n + 4. Let j(f) = -f**3 - f**2 + 13*f + 2. Let k be j(0). Put n, 3, k in ascending order.\nAnswer: n, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 8. Let o be (5\/(-10))\/((-3)\/(-36)). Determine s(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82835 times -0.1?\nAnswer: 8283.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(-23))*x\/((((x\/(((x\/x**(-29))\/x)\/x))\/x)\/x)\/x)*x*((x**(5\/6)\/x*x)\/x)**(2\/113) assuming x is positive.\nAnswer: x**(18644\/339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 8, -72 + 32 = -4*r + 5*k. Suppose -r*h - 23 = -63. Let d(a) = a**3 - 9*a**2 + 7*a + 6. What is d(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108260*-3.\nAnswer: 324780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = f + 12. Find the third derivative of -2*w**5 + f*w**2 + 2*w**2 - 2*w**2 wrt w.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -249275199 and 0.5.\nAnswer: -249275198.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*q - 15 = -2*b, -q - 2*b - 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 6*f - 2. Let w be b(7). Let a be 110\/44*8\/(-70). What is the closest to a in -0.05, w, 1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s + 48. Let h be g(-14). Suppose 0 = 3*l - h + 18. Let v(c) = 2*c + 17. Calculate the remainder when v(l) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 287 - 281. Solve -c*z + 9*z = -15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-60)*45\/(-4)*2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111002002 + -202010?\nAnswer: -111211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 19739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 12 - 63 + 30 + 16 + 4*v**2. Suppose -5*o - 4*r = -3*r + 34, 5*r - 19 = 2*o. Let x(q) = -6*q**2 + 7. Give o*g(k) - 5*x(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5986, -23930, -53836, -95704?\n\"Answer: -5981*w**2 - w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4850475149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424*n - 414*n = 152010. Is n a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (275\/115 - 2)\/(39\/(-26)).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 1161 = -381. Solve -81 + f = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 4*p**2 + 2*p - 4. Let w be b(4). Let q = -8 + w. Let n(m) = -141*m - 52. Let f(u) = -64*u - 24. Let t(k) = -11*f(k) + 5*n(k). What is t(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8964 divided by -1?\nAnswer: 8964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 36*p + 631. Let f be b(-17). Solve 12*n - 7 = -f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/5 - 12712*v**3\/5 + 26953644*v**2\/5 - 19109921896*v\/5 + 18975471226.\nAnswer: 2*(v - 2117)**3*(v - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 2. Let c be ((0\/z)\/2)\/(-2). Solve 4*h = -c*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3336 and 60?\nAnswer: 16680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1952 less than 6\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 5*r**4\/8 + 145*r**3\/6 + 100*r**2 + 130*r - 1147. Determine k, given that b(k) = 0.\nAnswer: -26, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.090746.\nAnswer: 0.272238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q + 2. Suppose -3*p + 6*p = 2*s - 28, -3*s = -5*p - 48. Let u be -2 - 4*(-3)\/p. Is a(u) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -148 - -151. Let d be (-20)\/(-4) + 2 + -2 + s. Solve -2*x - 2*m - d = 0, 0 = 5*x + 2*m - m + 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s - 28. Let z be n(19). Let m be (z\/240)\/(1 - (-7)\/(-4)). Calculate the highest common factor of m and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.413079565 to four decimal places.\nAnswer: -0.4131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 16 = 2*z, -2*g + 5*z + 12 = 4*z. Suppose g*v - 2*m + 0*m - 18 = 0, -4*m + 6 = -2*v. Is v greater than or equal to 31\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22163 + 13509 = 605*n - 9098 for n.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*y + 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -150800675.4 rounded to the nearest one hundred thousand?\nAnswer: -150800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 8*l + 5*l)*(0*l**2 - 5*l**2 + l**2) - 2*l**3 + 1 - 1 to the form i*l**3 + z + n*l + o*l**2 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143858?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -163 + 985\/6. Let n(x) = -x**3 + 12*x**2 - 12*x + 11. Let d be n(11). Suppose -6 = -3*s - d*s. Are s and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llullleeeeelllellll. What is prob of sequence le?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106*i**4*p + i**4 - 2*i*p + 26*i wrt i?\nAnswer: -1272*i**2*p + 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 7*d - 3*d - 13, d + 11 = -4*s. Let q be d\/((4 + -3)\/(-1)). Let k be q\/(1*(-2)\/10). Solve -k*h - 25 = -3*a - 2*a, -3*a + h = -9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 7*z**2 + 8*z - 4. Let n be u(6). Let f be n\/(-10)*55\/(-22). Find the third derivative of -2*a**3 + 0*a**3 - f*a**2 - 4*a**2 - 2*a**2 wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 7*b**2 + 3*b + 3. Let d(u) = -4*u - 8*u**2 + 2*u**3 + u**3 - 5*u**3 - 4. Let q(s) = 5*d(s) + 6*f(s). Find i, given that q(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*l - 3, -3*l = l - 12. Which is the closest to w? (a) -2\/7 (b) 2 (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 32*k - 597. Calculate g(11).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 554827, 1109654, 1664481?\nAnswer: 2219308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 5 - 10 + 6. Give l(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156\/697 + -14\/41. Let f = 4 + -2. Suppose 2*j + c + 2*c = 2, -3*j - f*c + 8 = 0. Sort m, j, -4\/7 in descending order.\nAnswer: j, m, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2286012.734 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 395\/35 - (-352)\/(-32). Sort 1.2, f, 2\/5, -5 in descending order.\nAnswer: 1.2, 2\/5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 7. Suppose -12*o + 55 = -o. Calculate s(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3313678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 41.8.\nAnswer: 8.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/80*10\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585450897 to the power of 1\/2, to the nearest integer?\nAnswer: 24196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvwhwvvskwkkwkkws. Give prob of sequence kvs.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -827403 less than -9?\nAnswer: 827394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66*0.045.\nAnswer: 2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 3 + 19*k**2 - 2*k + 2*k. Let q(w) = 58*w**2 + 6*w - 8. Let s(o) = -8*g(o) + 3*q(o). What is the remainder when s(-1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -5146, -20330, -45782, -81622, -127970?\nAnswer: -184946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(99) + -1*sqrt(99)))\/(sqrt(441) + sqrt(441)*2) + 3*((sqrt(539) + 0 + sqrt(539) - sqrt(539))*-2)**2.\nAnswer: 6468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 + -6af?\nAnswer: -68c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -14) + -61 + 17?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 29*w + 154. What is m(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 7\/2*d**2 + 2 + 1\/20*d**5 + 11\/6*d**4 + 3*d - d**3. What is the second derivative of t(h) wrt h?\nAnswer: 6*h + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/681 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2403778271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -8, 1\/40, -30.6?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 - 235*j + 2536. Determine s(36).\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(1075\/903))\/(2\/10).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**6\/15 + 13*m**5\/120 + 22*m**3\/3 - 3. Let d(j) be the third derivative of p(j). Find the second derivative of d(c) wrt c.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 48 = -y. What is the least common multiple of 20 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i**2 + 0*i**3 - 1\/4*i**4 + 0 + 0*i = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1429390967.\nAnswer: 1429390967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + -14 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1030, 1680, 2726, 4168, 6006, 8240, 10870?\n\"Answer: 198*q**2 + 56*q + 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 6, 6.8?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 8*y**2 - y + 30. Let q = 10 - 1. Calculate the remainder when t(q) is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 15. Suppose 4*r - 5*v - 30 = 0, 2*v = -2*r - b*v. Solve 7 = -r*c + 3*n, -c = c + n + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8197156?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 22768?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 440240 + -294209. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**2 + 2*q + 33. Let v(r) = 23*r**2 + 5*r + 101. Give 8*p(s) - 3*v(s).\nAnswer: -5*s**2 + s - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 51\/11 (b) 0.2 (c) 1\/6 (d) -1\/4 (e) -2 (f) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u - 38*u = -4. Let 2*k**3 + 5*k + k - 3*k**2 + 7*k**u - 12*k**2 = 0. Calculate k.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 429941583 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -174007602*v**2 + 119137876*v.\nAnswer: -348015204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12348420 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -66869746, -66869766, -66869786, -66869806, -66869826?\n\"Answer: -20*n - 66869726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 12) to base 3\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130199*c**4 - 612643 wrt c?\nAnswer: 520796*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*h**5 - 540*h**4*p - 4*h**2*p - 1764*p wrt h.\nAnswer: -2580*h**2 - 12960*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89.5 + 112. Let s = a - 33. Let m = s + 10.5111. What is m rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -312 - -318. Let x(z) be the second derivative of 0*z**3 - 5*z + 1\/30*z**v + 1\/10*z**5 + 0*z**2 + 0*z**4 + 0. Suppose x(h) = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -97*z**3 - 125*z**3 + 349*z**3 + 771 + 494*z**3 + 117 wrt z?\nAnswer: 1863*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285098*c**2 + 142020*c**2 + 143076*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, l: 2, f: 2, a: 1, m: 1, v: 1}. Give prob of picking 1 m, 1 h, and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/20*(190 + 0). Let o be (35\/(-7) - -4)\/(-1). What is the units digit of 1\/((0 - 4\/j)*o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 353407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4756751 - 213?\nAnswer: -4756964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 91479?\nAnswer: 914790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(3))*3 + sqrt(3))**2 - (sqrt(300) + sqrt(300)*-1)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6326605 (base 8) in base 12?\nAnswer: -691a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 - 1 - (13518 - 13486)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(512) + 0)*-6)**2 + (-3*sqrt(8)*-3)**2 + sqrt(242) + sqrt(242) + (sqrt(242) - 2*-2*sqrt(242)).\nAnswer: 77*sqrt(2) + 19080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1908 = 10*k - 6*k. Let l = -92 - k. Suppose -m - 4*h + 111 = 0, -3*m + l = -2*h + h. What are the prime factors of m?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832367673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 94*m + 69*m**2 + 61*m**2 - 63*m**2 - 61*m**2. Let k(s) = s. What is z(k(r))?\nAnswer: 6*r**2 + 94*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o**2 + 19*o**2 + 11*o**2 + 6*o**6 - 2*o**2 wrt o.\nAnswer: 720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*g + 64. Let m be (-3)\/12*451348\/g. Let d = -11274 - m. What is the common denominator of -97\/20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 6*j - 5. Let t be z(5). Let q be (9\/(-3))\/(1 - 0). Let k be t*q\/(-18)*3. What is k rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 16*b - 4*b**2 - 2*b**2 - 4 - 4*b**2 + 7*b**2 - b**3. Let i be o(13). Round i to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhj when three letters picked without replacement from {n: 2, h: 5, j: 4}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002085 rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3233 + -4?\nAnswer: -3242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (12\/(-1))\/(-4). Let f be o*(-3 + 1 + 1). Solve -2*t - 6 = g, 3*g = -f*g + 3*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 4*d + d + (-4 + 3 + 0)*(d + 3*d - 3*d) - 26*d + 328 - 328 to the form s*d + j and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d77ba + -1?\nAnswer: 2d77b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1018380 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 333.7 (b) -7\/12 (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301651165.\nAnswer: 5, 71, 487, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/9)*s)**(-31\/4)*s**(2\/9)*s*s\/(s\/(s\/s**(7\/2)))*s*s assuming s is positive.\nAnswer: s**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 662 - 653. What is the remainder when 305 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 13*m - 248. Let s be j(58). Let t = 7 + -31\/5. Calculate the common denominator of t and (s\/(-240))\/(18\/4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 7 = -32 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -62700000 to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8070849737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7505?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from {t: 14, p: 1}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 0.1 (c) -654 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392)\/(sqrt(175) + sqrt(7)))\/sqrt(8))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + x = -30*i + 265, i + 1031*x - 1026*x + 4 = -13 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-6) - 0)*(1 - -57). Let r(u) = 5 + 8*u + l*u**2 - 4*u + 12*u**2. What is the units digit of r(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17578\/176 + 16\/128 + 4 + 2?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 201.64 and 90363.\nAnswer: 90564.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3)*x)\/x)**32\/((x\/(x**(-3\/11)*x))\/(x\/((x*(x**(1\/16)\/x)\/x)\/x*x))) assuming x is positive.\nAnswer: x**(-16603\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**3 - 19. Let m be w(1). Let j be 1\/m - (-2 - -2)\/(-3). What is the second biggest value in -2, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 - 109*n**2 + 53*n**2 + 52*n**2)*(0*n**2 - 3*n**2 + 4*n**2).\nAnswer: -3*n**5 - 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - k**2. Let j(c) = 15*c**3 + 15*c**2. Let r(y) = -j(y) - 6*m(y). What is the third derivative of r(w) wrt w?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from elh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/12 + 270\/72. Suppose 0 = -5*w + 3*v + 11, 0 = -4*w - 2*v + 18 + y. Solve -c - 6 = -w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1822924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 3*g + 15, 3*g + 2*y - 745 = -759 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25\/12 - -7\/3. Suppose 4*p = 4*j - 0*j - 8, 4*p = -j + 12. Let s be (6\/j)\/(63\/(-24)). What is the nearest to u in s, -5, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -146, -152, -160, -170, -182, -196, -212?\n\"Answer: -w**2 - 3*w - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - (-2*sqrt(21)*6 - sqrt(21)) - (sqrt(1029) + (sqrt(1029)*-1 + sqrt(1029) + sqrt(1029) - sqrt(1029))))\/(5*sqrt(3)*2*4)*1.\nAnswer: 7*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -40 - 78 - -53.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -19829261\/780 + 127106\/5. Let d = t - -13\/12. Let h = -0.04 - -4.04. What is the third biggest value in d, 3, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -25, 303*t - 4*u = 147*t + 157*t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*w + 4*g + 16, 3*w = -2*g - 8. Factor 34 + 2*o**2 + w*o + 34 - 32*o + 60.\nAnswer: 2*(o - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 7*f - 1. Let k(o) = -2*o**2 + 15*o + 3. Determine -6*k(j) - 13*t(j).\nAnswer: -j**2 + j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -9. Find the common denominator of ((-22)\/(-8))\/(f\/18) and (243\/10)\/(-3) + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15535558 by -134.\nAnswer: -115937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**5 + 6*v**5 - 2*v**5)*(-9 + 5 - 45).\nAnswer: -147*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -2. Suppose o*i - 36 = 124. Suppose -c - 7 = -i. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219037579 + 219037579 - 6*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 11*p = 45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3340?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 422 = 12*s - 16*s, -s = -2*y - 95. Solve 34*k - 27 = s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 151745*d + 30 = 151748*d, 5 = -4*q + 5*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*i**2*j*p**3*q + 11*i**2*p**2*q - 207*i*j*p**3*q + 2*i*j*p*q + 2*i*p**2*q + 2*i*q - 23*j*p**2*q wrt p?\nAnswer: -462*i**2*j*q - 1242*i*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.2. Let y = -1912 - -36326\/19. What is the fourth biggest value in y, f, -3\/4, -2\/15?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26230, 52430, 78596, 104728, 130826, 156890?\n\"Answer: -17*w**2 + 26251*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30425 = -12*y + 5239. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.5 (c) 18 (d) 483 (e) -5\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.523 rounded to one dp?\nAnswer: -30.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0 - (-21 + 17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0*i**3 + 0*i + 3 + 11*i**2 + 1\/45*i**5 - 35\/18*i**4. Factor p(n).\nAnswer: 4*n*(n - 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 108\/24*1\/(-3). Let n = -1.5 - -1. Suppose -6*a - 20 = -a. What is the closest to 0.1 in n, a, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6323805281?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/(-8) - 5220\/(-87)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116705 is divided by 6862?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48773607397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134919479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 23 = 3*x + 3*d, 0 = -5*x - 5*d - 30. Put x, -110, -3 in increasing order.\nAnswer: -110, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3)*m)**(6\/29) assuming m is positive.\nAnswer: m**(10\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*r - 4, -5*r + 3*r + 4*b - 8 = 0. Let w(f) = -3*f + 3. Let h(x) = 7*x - 6. What is r*h(u) + 5*w(u)?\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4)*w**(-10)*(w\/(w*w**(-1\/7))*w)\/(w\/(w\/(w**(-3\/4)*w))) assuming w is positive.\nAnswer: w**(-367\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 125592, 4, 33 in ascending order.\nAnswer: 4, 33, 125592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 16 = 4*f + j, 0 = 3*f - j + 5. Let u(r) = -r**3 + 2*r**2 + 6*r + 3. What are the prime factors of u(f)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = w. Suppose w*g + 2*g - 10 = 0. Suppose -g*s = -2*s - 33. Calculate the highest common factor of s and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3 + 660*w**2 - 2941*w - 189240 = 0.\nAnswer: -664, -15, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(405) + 0) + 1.\nAnswer: 1 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i + 11*i - 5*i. Let h(q) = -q**2. Calculate h(g(x)).\nAnswer: -144*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 12*m**2 - 38*m + 195. What is the smallest common multiple of 153 and i(-15)?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.17 (b) 4 (c) 14 (d) -3\/7 (e) 8 (f) 29\/4 (g) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 8\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 671.9 in 2\/69, 2, 1, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-3))\/((-114)\/171)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -345035*l**2 + 264623?\nAnswer: -690070*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*a, 2*a = 2*z + 3*z - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kppkhphkkkkkhppk. Give prob of sequence pk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 + 11)\/(2\/4*3). Suppose 2*w = -3*k + 13, -x*w - 4*k = -0*k - 10. What is the third derivative of -d**6 - w*d**6 - 6*d**6 - 17*d**2 wrt d?\nAnswer: -2160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101322120311 (base 4) in base 11?\nAnswer: 2717972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (3 - (15 - 11)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1266*g**2 + 8*g + 45. Let x(b) = 1265*b**2 + 11*b + 46. Let k(r) = 6*m(r) - 5*x(r). What is the second derivative of k(o) wrt o?\nAnswer: 2542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 - -337. Suppose b = 7*f - 2*f - i, -4*f - 2*b = -206. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21432 divided by 8\nAnswer: -2679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*t + 16 = -0, -5*v = -4*t - 62. What is the units digit of (-3)\/6*2 + v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((-11)\/110 - 0) + (568\/80 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k. Let x(p) = 17*p + 2. Calculate q(x(c)).\nAnswer: 153*c + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -z + 24. Let q be z*(4 + -6) + -4. Sort 1, q, -1 in ascending order.\nAnswer: q, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 12:06 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.0446 rounded to 2 decimal places?\nAnswer: -12.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d + 87. Let o be u(17). Which is the closest to 1? (a) 4.4 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 11:30 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3386207*d**3 + 1094*d**2 + 444 wrt d.\nAnswer: 20317242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 209.4869 + -208.29. Round p to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 404*i - 81. Is c(20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2\/3*v**3 + 100\/3*v**2 + 14000\/3 - 2600\/3*v = 0.\nAnswer: -70, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**4\/48 - k**3\/8 + k**2\/4 - 7*k + 5. Let f(u) be the first derivative of h(u). Factor f(g).\nAnswer: (g - 2)*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -6 - 4\/(-1). What is the first derivative of -3*d - 2 - 1 + 1 + b wrt d?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 322382188?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-160)\/15)\/4)\/((-8)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 503573 + 11?\nAnswer: 503604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392 + 396 + 399 = -3*m + 1196 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 11:02 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622044 is divided by 32720?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by ((-264)\/(-26))\/(1416\/12272).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 159826.52983?\nAnswer: 159828.52983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {o: 4, t: 6, v: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 121*1*3\/6. Let u = -61 + z. What is the smallest value in u, -1\/10, 5, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 610701 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*o = 0, -5*h + 2*o - 246 + 277 = 0. Solve h*m - 32 + 12 = 0, 22 = -3*i + 4*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f**2 - 8. Let o(q) = q**2 + 1. Calculate -k(c) - 6*o(c).\nAnswer: 3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*i**2 - 35*i**2 - 37*i**2 as q*i + t*i**2 + y and give t.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 82 + 773. Let w = 1199\/7 + x. Which is the biggest value? (a) w (b) 0 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a milligram in micrograms?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16970 or -152719\/9?\nAnswer: -152719\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-186 + -98 + 134)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 - 22 + 28)*(-76*c + 48*c + 49*c)*(-2*c**2 - 1 + 1) to x*c**3 + o*c**2 + d*c + y and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/30 and (-206)\/246*(-93)\/124*2\/(-12).\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 2580.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*o, -3*o - 54 = f - 10. Let m be f\/(-14)*(1 + 1). What is the second derivative of 5*a + m*a + a**2 - 4*a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 8502.\nAnswer: -2\/4251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Let l = 4 + -2. Let o(t) = -t**l + 2*t**2 - 2 + 2. Calculate w(o(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 872 times 4?\nAnswer: 3488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -394 + 396. Let g(t) = 8*t - 57*t**u - 24 + 56*t**2 + 22. Calculate g(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -9*g**2 + 5. Let y(i) = 18*i**2 - 20*i. Determine y(c(r)).\nAnswer: 1458*r**4 - 1440*r**2 + 350","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + 1339*(-378)\/(-7020).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 8. Let x be z(6). Suppose x*p + p - 6 = 0. Let i(q) = -15*q + p*q**2 + 15*q. Let m(n) = n**2. Calculate m(i(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9086 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -66\/169819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*q + 1. Let n(v) = -v + v + q*v. Let j(a) = -2 + 2 + a. Calculate n(j(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -5*s**4\/12 - 10*s**3\/3 + 25*s**2\/2 + s + 30. Determine w so that q(w) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 56*c**3 + 8. Let i(z) = -19*z**3 - 3. Determine -8*i(g) - 3*m(g).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkf when three letters picked without replacement from {f: 1, k: 10, r: 7}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*b + 144 = -143 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(2)*-3)\/(sqrt(2) + (sqrt(2) - (sqrt(2) - sqrt(4)\/sqrt(2)))*4).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 100, 127, 180, 265, 388?\n\"Answer: r**3 + 7*r**2 - r + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 631dd4?\nAnswer: 631dd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1749)\/(-4) + (-2)\/8. Suppose 2*y + 111 - b = 0. What are the prime factors of y?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 8*f**2 - 3*f - 8. Let w be y(7). Let m be 1\/(-4) + 45\/w. Let h = m + 3. Solve -20 = 4*z - 2*b, b - 23 = h*z - b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284997221 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.91 - -2818.91. Let v = -2815.8112 + q. Let o = -1.8 - v. Round o to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -10 (c) 4 (d) -2\/561\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -3107 + 804. Let p = b - -333. Solve f = 3*f + p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-21) - 28\/(-6). Solve 0 = 2*r, 3*y = q*y + 3*r + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -273*o**3 + 89*o**3 + 89*o**3 + 423*o**2 + 94*o**3 + 2*o to the form x*o**2 + f*o**3 + i*o + y and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2004141 - -5?\nAnswer: 2004150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/4 and 11\/189.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*(-225)\/75?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 3, d: 15}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + ((-12)\/(-10))\/(9\/(-27)). Factor 16\/5*c**2 - 8\/5*c + k*c**4 - 2*c**3 + 0.\nAnswer: 2*c*(c - 2)**2*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: 462177153 divided by -9\nAnswer: -51353017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98\/1221 + 902854\/8547. Let q = 106 - z. Let l = 1871.4 - 1871. What is the nearest to 1\/3 in q, 2\/3, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3271 - 3265. Put -4, 2, d, -34 in increasing order.\nAnswer: -34, -4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -l + 54, 3*r - 5*l = 6*r - 88. Let z = -4 + r. Calculate the remainder when z is divided by (0\/(-1) + -1)*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 146*o = 145*o - 128, 136 = 4*a + 4*o. Let q(v) = -v**3 + 28*v**2 - 24*v - 39. Give q(a).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.37 + 13.92. Let r = i + 1.45. Let s = -0.2 - -0.6. Is s at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1169780 and 577261.\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 4*x + 2, -5*i + 3*x - 177 + 168 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - 4*s + 2*s)*(94 + 54 + 55) to the form i*s + z and give i.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -45. Let x(d) = 2*d**2 - 3*d. What are the prime factors of x(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13910783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -537894695 - -537894386.999839. Let i = n + 308. Round i to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661542820*d**2 - 661542842*d**2 + 4*d - 4*d.\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91592830 + -7083.\nAnswer: 91585747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**18)**(-40))**(-16\/7))**(-3) assuming a is positive.\nAnswer: a**(-36480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10317, 10342, 10377, 10416, 10453, 10482, 10497?\nAnswer: 10492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 416201, -5 in decreasing order.\nAnswer: 416201, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (1 + 0 + 0 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 + -4) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 5 = 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116631b (base 15) to base 3.\nAnswer: -212110210001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -2\/7, 25, 0.4, 5, -4 in ascending order.\nAnswer: -33, -4, -2\/7, 0.4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 48 = -4*x, f - 5*f - 12 = -x. Suppose 880 = -4*b + x*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((-94)\/1504)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 2\/31 (c) 3 (d) 1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.532409853 rounded to three dps?\nAnswer: 0.532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*d - 7 = -29, 5*a + 5*d = 40. Let c(v) = -83*v**2 - 5*v - 16 + 13 + 87*v**2. Let y be c(3). Solve -2*p - y = 4*w, 5*p = w - a*w - 30 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7548169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhtv when four letters picked without replacement from {h: 2, t: 2, k: 1, s: 1, v: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 + -169. Let y = s + 103. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 154 - 164 = y, 3*n + 21 = -2*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 269 = 4*o, -58*s = 59*o - 55*s - 1740 - 2210 for o.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*z + 31, -4*k - z = 2*z - 58. Calculate the remainder when 89 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62356 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: Does 19 divide 3601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l + 6. Let t(w) = 2*w - 10. Let z be t(7). Suppose 3*c - l = z. Solve -2*r + h = c*h - 2, 3*h = -6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 11*l + 340 = 0. Let u be l\/(-32) + 3\/(-24). Suppose 0 = -3*z - m - 3*m + 142, u*m = 3*z - 172. Which is smaller: 53 or z?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 9*l + 2*l)*(0 + 3 - 4*l - 1).\nAnswer: 36*l**2 - 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-24)*48\/(-32). Which is the nearest to 4? (a) 8 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983*h = -8296 - 11364 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(3\/7))\/(n*n**(-1\/2)))\/n**(6\/7)*n**(-4\/45)\/(n**(-3)\/(n*n**(2\/3)*n)) assuming n is positive.\nAnswer: n**(3649\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 + k**5 + k**5 + (2*k**4 - 3*k**4 - 6*k + 5*k)*(-13 + 13 + 4*k).\nAnswer: -2*k**5 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:24 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + 1*sqrt(187)*-2 + sqrt(187)*3*1 + sqrt(187))\/(2*(sqrt(704) + (sqrt(704) - (sqrt(704)*1 + sqrt(704) + sqrt(704)))*4)).\nAnswer: -3*sqrt(17)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 0)*(19 + -18). Let k be ((-190)\/(-30))\/(s\/3). Suppose -60 = 2*b - 288. Calculate the greatest common factor of b and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 1175666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:18 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l + 35*l - 7*l - 16*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**6\/120 - 3*m**5\/10 + 5*m**4\/6 + 5*m**3\/2 + 2*m**2 - 21*m. Determine y(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -123 + 1*(-2 + 3). Let s = -77 - a. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvtqttu. What is prob of picking 1 q and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + -7 - -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 - 151*k**2 - 68*k + 528. Let p be a(-75). Solve p*c + 3*u = 18, 94*c + u = 98*c - 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + x - x)*(2634*x - 581*x + 1464*x + 12434*x + 2728*x).\nAnswer: -37358*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 18, -238.\nAnswer: -238, -1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23169, 46138, 69107, 92076?\n\"Answer: 22969*x + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**3 + 2*w**2 + 13*w - 14. Suppose -1 + 9 = 2*u. Calculate the remainder when d(1) is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.57151mg to kilograms.\nAnswer: 0.00004457151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, r: 8}. Give prob of picking 3 r.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -2, 11, -160\/7, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -622*d**4 - 2*d**2 - 3969 wrt d?\nAnswer: -2488*d**3 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 5*(3 + sqrt(2448)) + -1)*-2 + -4 + 5)**2.\nAnswer: 8880*sqrt(17) + 246169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -22?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)*c)**16\/(c\/c**1)**(-26) assuming c is positive.\nAnswer: c**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p + 34*p - 3*r = 12, -3*p - 199*r + 201*r = -8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144 + 139. Let o be 4\/6*-6 - -7. Let u(j) = -5*j - 3*j**3 - j**2 - 1 + 2*j**o - 5*j**2. Determine u(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 249 = -87. Suppose -3*z = -2*h - 2088, 5*z + 5*h - p = 3144. Let k be (-2 - -7) + (-3516)\/z. Is k at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 18*x - 9*x + (x - x + 4*x)*(-2 + 5 - 4).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 divided by 105602?\nAnswer: 101\/105602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 6*u**2 - 2*u - 11. Suppose -14 = -8*g + 26. Let j be t(g). Let v(d) = -j - 2*d - 1 + 2. Determine v(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40, -13, 78, 233, 452, 735?\n\"Answer: 32*i**2 - 69*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 6.5. Let h = f - 1.5. What is the third biggest value in 0.5, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {n: 3, j: 2, x: 2, h: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**2*t**4 + 180*b**2*t**2 + b**2*t - 72*t**5 - t**3 wrt t.\nAnswer: -48*b**2*t - 4320*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/14354?\nAnswer: 3\/14354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2367 and -0.2?\nAnswer: 473.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1639 divide 1240841008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 223*(0 - (0 + -9)). Suppose 0 = 157*r - 154*r - j. List the prime factors of r.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267 divided by 650820.\nAnswer: 89\/216940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 39128.3 litres?\nAnswer: 39128300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32089491 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.704481165 to 4 dps.\nAnswer: 0.7045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1126999 is divided by 3248.\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 41*q**2 - 35*q - 154. Calculate the remainder when 126 is divided by d(40).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -336 + 372. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = -8, 0 = 3*t - q - 14. Solve -1 = j + t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7738886770?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*((-1 + sqrt(2))*-2 - (sqrt(72)\/sqrt(3) + sqrt(24))\/sqrt(12)))**2*6.\nAnswer: -96*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 31*a + 330. Does 8 divide o(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 23*b - 19. Let h be v(18). Let a = h + -26. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -143, -198, -305, -482, -747, -1118?\nAnswer: -1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(171) + 0 - sqrt(171) - (1 + sqrt(1216))).\nAnswer: -8*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence piyp when four letters picked without replacement from {y: 1, o: 2, j: 1, p: 2, w: 1, i: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2*(((-1260)\/(-65))\/14)\/(-3)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.216039 to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7)*s*s)\/s*s*s*s**(-2\/17))\/((s**(4\/5)\/s)\/s*s*s*s**0*s*s) assuming s is positive.\nAnswer: s**(-121\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 2*t**2 + 5*t + 4. Suppose 0 = 2*h - 7*h - 15. Let a = -7 - h. Let b be c(a). What is the highest common factor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*i**2 + 11*i + 26*i**2 + 7 - 3*i**2 - 2 + 17*i**2 wrt i.\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/(-8)*8\/(-10). Solve 5*s + 3*w = -17, -s + 2*w = h*w + 17 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 988 and 4848914?\nAnswer: 126071764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 + h**2 + h + 1. Let x be y(-1). What are the prime factors of x\/(4 - (-101)\/(-26))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5950 + 5126. Which is smaller: s or 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y - 22. Let p be o(6). Suppose 2*q = 4*q - p. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, d: 3, f: 2, t: 2}. Give prob of sequence fstf.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*u = 906, 2*o = -3*o - 2*u + 2229. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 - 65. Which is bigger: 2\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*s = 305*s + 1001 + 299 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:21 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**3 + 3*g - 2. Let s(i) = -9*i**3 - i**2 + 5*i - 3. Let j(b) = b**2 - 3*b - 3. Suppose -31 = 4*o - 43. Let c be j(o). Determine c*s(z) + 5*u(z).\nAnswer: 2*z**3 + 3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6\/4 + (-10 + (-30248)\/32)*-14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/756021 and -51\/38.\nAnswer: 28728798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - (-70)\/(-22)) + 4\/22. Suppose a = -4*m + 91 - 11. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 76\/5 of a millennium?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2127 divided by -3?\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/(-6)*(-18 + 21). Suppose -3663 = -n*q + 10697. What are the prime factors of q?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31110331031 (base 4) to base 2.\nAnswer: 1101010100111101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1043*u + 1119. What is k(1)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -318*n**2 + 1576*n - 1214. What is z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10264207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169 (base 11) to base 2.\nAnswer: 11000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**3 - 3*h**3 - 2*h**3 - 4*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -476775 (base 13) to base 6\nAnswer: -100232200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5 - 6*z**4 - 13*z**3 - 12*z**2 - 4*z.\nAnswer: -z*(z + 1)**2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756163105.\nAnswer: 5, 173, 227, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 7*o - 8. Let k be b(8). Let l(i) = i**3 + i**2 + 5. List the prime factors of l(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1282 bigger than -3990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 4:20 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-2 + 34\/12)*54\/30.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5585.4 months to millennia.\nAnswer: 0.46545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 7*b**2 - 8*b - 6. Let y be a(-8). Let w be 15\/(-12)*(5 - 1). Which is greater: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**10\/f**24)\/(f\/(f\/f**(-7\/5))*f**(-2)))**(15\/7) assuming f is positive.\nAnswer: f**(-159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -31*j**7\/14 + 41*j**3\/6 + j**2 - 107*j. What is the second derivative of t(c) wrt c?\nAnswer: -1860*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.75 * -7288\nAnswer: -5466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 55?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.8 - 904157458.\nAnswer: -904157451.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0247 - -0.0874. Let z = b - -450.7373. What is z rounded to the nearest ten?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -623*y + 1237*y - 572*y.\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94560.\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {j: 3, o: 4, a: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvvrvvvvrvrrvvrr. What is prob of sequence vrvr?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 99757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**5 + 3*m**5 + 2*m**5 + (2*m - 4*m + 5*m)*(m + 0*m - 2*m)*(-m**3 - 3*m + 3*m).\nAnswer: 8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3185 and 0.02.\nAnswer: -63.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -37 (b) -2 (c) -2\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -37, 4\/33, -4, -1\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7763017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*2\/(-8))\/3. Let i be (-267)\/(-21) - ((9 - -15) + -11). What is the second biggest value in 0, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -363 - 2120105?\nAnswer: -2120470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -3*x**5\/100 + 417*x**4\/20 - 57963*x**3\/10 + 8056857*x**2\/10 + 2*x + 93. Find w such that t(w) = 0.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(2\/15)*l*l\/l**(-8\/5)*(l*l*(l\/((l*(l\/(l\/(l\/(l\/l**(-5\/6)))))\/l*l)\/l)*l)\/l)**(-6\/13) assuming l is positive.\nAnswer: l**(526\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -902*g + 43. Let m = -44 + 26. Let k be a(m). Suppose 21776 = 15*d - k. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28.9 - 29. Does n = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 300\/120 + (-5898)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 966 and 22?\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 17*m + 21. Let y be d(18). Let a = 1582 - 1581. Put y, a, -5 in decreasing order.\nAnswer: y, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*q**4 - 2*q**2 + 2*q**2)*(2 + 5 - 6).\nAnswer: 11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -621 (base 7) to base 5\nAnswer: -2214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**2 + 3*s**2 + 0*s**2. Let d = 9 - 7. Let q(r) = -3 + 1 + d - r**2. Calculate q(j(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 11. Let k(z) = z**3 - 4*z**2 - 14*z + 21. Let g be k(6). Let t be r(g). Solve -4*v + t = -2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 427, 3 in decreasing order.\nAnswer: 427, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a - 6*a + 182 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5353 and 3131.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -24. Let h be (8 - -8)\/(g + 0). What is the second derivative of 8*c**2 + 4*c**2 - h*c**2 + 5*c + 8*c wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 27*g + 6*g + 20*g + 12*g**2 + 23*g**2 - 28*g as q*g**2 + k*g + u and give q.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 121, -9, -3\/2, 10, 0.1?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 s, and 1 e when three letters picked without replacement from flflsklklksyefsslf?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - k + 3 = 0, 2*l - 2*k + 12*k = 66 for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.2579 from 43.\nAnswer: 53.2579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 10*z = -3*b + 2, -5*b = -3*z - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -8. Suppose -2*y + y = 0. Let m = y + g. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*q + 24225 = -1844*q for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95231\/159 + 625\/106. Do 0 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 18 = -6*w. Let h be (w\/(-1))\/1 - -3. What is the closest to h in 1, 4\/3, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 13*y - 10. Let u be r(-11). Suppose 4*g = -2*z + u, -2*z - 11 = g - 5*z. Solve x + g = -0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(5*sqrt(12)) + 3*(sqrt(171))**2.\nAnswer: sqrt(19)\/5 + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5890 is divided by 400?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = 14*h - 9*h. Let k = -35 - h. Solve 0*z - k*z = -8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**4 - 38*v**2 - 38*v + 42*v**2 + 105*v wrt v.\nAnswer: -12*v**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*x = 256*x - 2374 - 1490 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51129 = -10*c - 54*c - 40519. Which is greater: -1431 or c?\nAnswer: -1431","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*t = 12, 5*l + 5*t = 15 + 5. Factor 0 + 1\/2*z**2 + l*z.\nAnswer: z**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d**4\/5 - 22*d**3\/5 - 22*d**2\/5 - 2*d\/5 + 4\/5 = 0. What is d?\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 31*i + 3. Let r be s(-3). Let j be 8\/r*(-75)\/30. Which is the nearest to 5? (a) j (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19311447 or -57934339\/3?\nAnswer: -57934339\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1268 (base 11) to base 7\nAnswer: 4542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:21 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**2 + 3*k. Let x be l(-1). Let h be -2 + 4 - (-96)\/(x + -1). Let q = h - 94. Solve q*c = 2 + 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 64464761?\nAnswer: 64464762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(110)\/sqrt(5))\/sqrt(11) + -4 + sqrt(2)*2 + -4.\nAnswer: -8 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 + 71. Suppose h - g*h = -7. Solve 0 = -5*b + 18 + h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.116 + 4.884. Sort d, -2, -71 in descending order.\nAnswer: d, -2, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -4 + 5 + -1. Solve -9 = -3*s + s - y, 5*s - 4*y - 3 = q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*i = 65*i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 38936 = -5*z - 12196, z - 5348 = -2*u. Suppose n + 487 = z. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - z + 1. Let x(q) = -16*q**3 + 6*q - 3. Let d(n) = 4*c(n) + x(n). What is the remainder when 32 is divided by d(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 - -8. Let b = -120 - a. Let q = -17.99368 - b. What is q rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*b = -28580 + 31005 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 3\/16, -1, 2, -2\/49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 5:33 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29461014 or -29461007?\nAnswer: -29461014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*w - 11. Let u be 3 - (w - 3\/1). Solve 5 + 22 = u*n + 3*c, 3*n + 5*c - 34 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11252432 equal to 11252431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 k when four letters picked without replacement from {p: 3, k: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152560675.\nAnswer: 5, 67, 91081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 183*q**4 + 36?\nAnswer: 732*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 631 - 626. Let u(b) be the second derivative of 0 + 6*b + 1\/70*b**r + 0*b**4 + 0*b**2 - 1\/21*b**3. Suppose u(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869 is divided by 223?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4301.\nAnswer: 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1568 and 77812?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -15, 96?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:16 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 61 + 42*i**2 + 279*i**2 + (0 - 5 + 4)*(-3*i**2 + 4*i**2 - 3*i**2))*(3 - 2 + 0).\nAnswer: 323*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(63) - (-1 + sqrt(1008) + sqrt(1008))**2).\nAnswer: -204*sqrt(7) + 16132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -601, -690, -917, -1342, -2025, -3026, -4405?\n\"Answer: -10*r**3 - 9*r**2 + 8*r - 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -12*b - 12. Does 12 divide l(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*l**3 + 2\/9*l**5 - 4\/9*l**2 + 0*l**4 + 0 + 0*l.\nAnswer: 2*l**2*(l - 2)*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2 - 1 - 2*j**3 + j**3 + j - 4 + 10*j**2. Let z be o(10). Solve 0 = -2*l - d + 6, -5*d + 14 = l - z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 5:12 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 2544.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3*q + 4239, 2*r + 245 - 2378 = -3*q. What is the remainder when r is divided by 204?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -17 - 75. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s - 32*s = 27. Put s, 2, 3, 1 in descending order.\nAnswer: s, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**5\/200 + s**4\/48 - s**3\/30 - 75*s**2 - 2. Factor n(h).\nAnswer: -(h - 1)*(3*h - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 20*j + 39. Suppose 0*k = 4*k - 28. Let q = k - -7. Calculate the smallest common multiple of l(-19) and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27148 and 754.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 5*u - 3. Let y = -28 - -15. Let o = y - -16. Give p(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 14 - (-7 + 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -272668 < -326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-13))\/((-60)\/780).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, e: 3, d: 6, k: 1, i: 3}. Give prob of picking 2 i and 1 e.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 88 - 58 = 0. Let l = w + -94. Is 42*(-49)\/l - (2 + 0) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 5:52 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9*g**2 + 5*g. Let v(a) = -a**3 - 40*a**2 - 2*a - 78. Let p be v(-40). Let r(c) = -5*c**2 - 2*c. Determine p*j(x) + 5*r(x).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.0690386 to two dps.\nAnswer: -19.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/8*(-6)\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 6. Let x be (0 + 2 + 0)\/w. Let g = 7 - x. Calculate the highest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 12*t - 33*t + 3*t**2 - 10*t + 16*t**2.\nAnswer: 19*t**2 - 55*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.038 * -97.\nAnswer: -3.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + g)*(9773 - 2202 + 833 + 280 + 9349).\nAnswer: 18033*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80630, 79861, 79092?\nAnswer: 78323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**3 + 4*i**2 + 6*i - 11. Let o be 4\/((2 - 3)*1). Let l be g(o). Calculate the greatest common divisor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + -11 - 3*-1. Let o = 22 - 13. Suppose g*c - c - o = 0. Round c to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/27 and -49.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000523936 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7468229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 18*g**2 - 18*g - 11. Let m be v(19). Suppose 0 = -m*y + 5*y + 99. Let k = 89 - y. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*x + 2)*(-x**3 + x**4 + x**3) + 3*x**5 - x**4 + x**4 + (111*x - 111*x + 163*x**4)*(-3*x - 3*x + 4*x).\nAnswer: -321*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17188660 is divided by 954923?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -192345, -384693, -577041?\n\"Answer: -192348*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l\/l**(2\/17))\/((l\/((l**(-1\/13)\/l)\/l))\/l))**32)**(-2\/33))**(-34) assuming l is positive.\nAnswer: l**(-5504\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-3)*(2\/6)\/(((-25520)\/(-522))\/(-88))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197741 + 51700 = 4711*i for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10073 less than 52608464?\nAnswer: 52618537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -11*m + 4, 0 = 4*p + 4*m - 4. Suppose -5*l + 2 = -4*x, 4*x + 2*l - 6 - 6 = p. Solve 11 = -x*k - w, 2*k + 4*w = -0*w - 26 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1657373*f*l**2 + 11442760*f*l*t**2 + 101*f + 21*l**2*t wrt t?\nAnswer: 22885520*f*l*t + 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/3 + 3310*y + 108988\/3 = 0. What is y?\nAnswer: -4954, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + 2*r**5 - 3*r**5 - 3*r**5 + r**5 + 3*r**5 + (0*r**4 + 4*r**4 - 2*r**4)*(2*r - 6*r + 2*r) + 22*r**5 - 5*r**5 + 176*r**5.\nAnswer: 188*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9929476, -9929478, -9929480, -9929482?\nAnswer: -9929484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 13 = -4*g, -1 - 3 = -4*i + 2*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17897 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -74035, -148091, -222149, -296209, -370271, -444335?\n\"Answer: -f**2 - 74053*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:20 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2 - 1 + 2*d**2 - 3*d + 8*d. Let g(b) = -b**2 - 9*b - 4. Let p be g(-8). Determine n(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -125, -165?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -47. Let d be 244\/(-10) + 2\/5. Let t = d + 40. What is the greatest common divisor of t and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10850 = -6*k + 9*k, -3*k = -a + 2170. What is the greatest common factor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*f**2 + 20050006*f + 8020004 = 0. Calculate f.\nAnswer: -2\/5, 2005001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -i, 0 = -28*y + 26*y - i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - 2*l**3 - 3*l**3 + (l**2 - 3*l**2 - 4*l**2)*(1 - 1 + l).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -9*m + 12*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n + 442 = 232 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -40. What is the first derivative of 61*v**2 + c + 13*v**2 + 14*v**2 + 3 wrt v?\nAnswer: 176*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -3*x + 2*t, -5*x + 76*t - 74*t - 194 = 0. Let f be 340\/(-50) + x\/(-5). Solve -1\/5*w**2 + w - f = 0 for w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v**(2\/7))))\/(v\/v**1))**(-20\/3) assuming v is positive.\nAnswer: v**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus 501631.19?\nAnswer: 501631.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 6*h**2 + 5*h - 9. Let w be d(6). Suppose -w = -g - 2*g. Suppose 0 = -3*s - 5 + 89. Calculate the greatest common factor of s and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -5, -1\/5, -1.2, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83089?\nAnswer: 83089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1812*a**2 + 625 wrt a?\nAnswer: 3624*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -17*k**5\/60 + 300*k**2. Let w(o) = o**2 + 49*o. Give w(y(m)).\nAnswer: 289*m**4 - 833*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*d - 4*q + 178, 794*q = -3*d + 797*q + 42 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 126*c**3 - 162*c**3 + 80*c**3 + 4*c - 1 + 122*c**3 to the form p*c**3 + s*c**2 + i + h*c and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000244786382 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-3)*6\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17, -14, -17, -26, -41, -62?\n\"Answer: -3*t**2 + 12*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 8\/257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 202*a**2 + 203*a - 73. Give m(-203).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -312?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 2*b**3 - b**3 - 14*b + 14*b.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2 - 4*t - t**2 + 3*t + t**3 - 4. Suppose -3*q + 14 = 4*q. Let h be (-12)\/8*q + 3. Calculate s(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -1\/4, 6.\nAnswer: -15, -1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/16 and -1\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 23007763?\nAnswer: -23007765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7532 + 151*w**3 + 7532 - 2*w**3 + 3*w**3 + 0*w**3 + (2*w + 1 - 1)*(w**2 - w**2 - 2*w**2) + 2 - 2*w**3 - 2.\nAnswer: 146*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (((sqrt(11) + 0)*-6*-6)**2 - (sqrt(11) + (1*sqrt(66))\/sqrt(6) + 3)**2))*-6.\nAnswer: -511344 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2607 and 18240?\nAnswer: 15850560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/7 + 134*a**2\/7 + 19*a = 0. What is a?\nAnswer: -133, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/5)\/(1 - (-152)\/(-160)). What is the greatest common divisor of h and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9216*t - 4709*t - 4508*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -4, 3\/11, 12\/331?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 950161394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - 2*o - o)*(0 - 9 + 23)*(3 - 3 - 2) in the form j + g*o and give g.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by -20*(-14)\/4*(-10)\/(-20)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1007 - -1213. Solve v*y - 198*y = 40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34770 is divided by 319?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9*c - 13192 - 4*c + 13225. Let j be h(-5). Let z(v) = v**2 + v - 2. Let o be z(2). Solve -3*w + 4*k - o = j*k, w = 2*k + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + (191 - 167)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-15) - (-7)\/(-3). Suppose -3*h - 9 = a, -17 = a + 4*h - 4. Let o(l) = 2*l**3 + 5*l - 3*l**2 - l**a + 7*l**2 + 4. Give o(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 291*i**2 + 2*i - 1. Let z be s(1). Suppose -4*b - 24 = -z. What is b rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1072853, -1072969, -1073059, -1073111, -1073113?\nAnswer: -1073053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -489, 13, 0.02, 0.3, -0.06 in decreasing order.\nAnswer: 13, 4, 0.3, 0.02, -0.06, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 541.7524 + -541.49639714. Let r = t - 0.256. What is r rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 minus 1404087.493?\nAnswer: -1404091.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - 8*z - 563409*z**2 + 563407*z**2 + 50 + 12*z to i + n*z + u*z**3 + k*z**2 and give i.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3929191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 458128 rounded to the nearest 1000?\nAnswer: 458000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, -5, 15, -2.\nAnswer: -13, -5, -4, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1198808 and 4680?\nAnswer: 53946360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 2*g + 3*g + 5*g - 11*g - 10*g + 5*g - 3*g - g + 0 + 0 - 2*g + (3 + 2 - 3)*(0*g - g + 3*g) - 3 + 3 - g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-1) - (-2 - -2). Let j = 15 - o. Suppose j*x - x + 13 = 0. Calculate the remainder when 49 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 806 - 801. What is the second smallest value in -5\/4, n, -11?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9\/3)\/(-9)*-2*-6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30332.\nAnswer: 2, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16001973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.1 (b) -4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -312d22b?\nAnswer: -312d22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**8\/2240 - l**7\/840 + l**6\/120 - 7*l**4\/12 - 10*l. Let r(c) be the third derivative of v(c). Find y, given that r(y) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 7*p**2 - 7*p + 8. Let x be f(6). Solve -x*t = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.082 + 0.018. Let k = -0.1 + j. Let n = -172 + 1202\/7. What is the nearest to k in n, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12b2a2 (base 15) to base 10\nAnswer: -898352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 295, 667, 1017, 1345, 1651, 1935?\n\"Answer: -11*n**2 + 405*n - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 109*l - 4. Let z(h) = -h**2 + 210*h + 9. Give -5*y(a) - 3*z(a).\nAnswer: -2*a**2 - 85*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37484\/99 + 3406\/9. Put c, -3, -531, -4 in descending order.\nAnswer: c, -3, -4, -531","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.7 and -0.028527.\nAnswer: 0.3908199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 10*a - 21. Let v be x(5). Calculate the highest common divisor of 58 and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-2))\/(3645\/(-405)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from {g: 1, s: 7, d: 1, x: 1, j: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -1\/18*u**5 - u**2 + 0*u + 1\/108*u**4 + 9 - 1\/540*u**6 + 5\/9*u**3. Let m(l) = 0. What is l?\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130021123 (base 4) to base 3\nAnswer: -12212011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 1.2. Let f = 6.349 + -0.049. Let t = -6 + f. Put y, t, -2\/5 in decreasing order.\nAnswer: t, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2656585250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 58.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*p - 4. Sort p, -0.2, -3 in decreasing order.\nAnswer: p, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9 times -34?\nAnswer: -234.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -3\/4 in ascending order.\nAnswer: -3, -2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d + 4*j - 2, -6*d + 8*d - 5*j + 24 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 8*r**2 + 7*r. Suppose 21 = 6*i - 9. Suppose -j = -g + 6, -2*j = -i*g - 0*j + 33. Give u(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 18, -34, -150, -354, -670, -1122, -1734?\nAnswer: -2530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176 is divided by 244.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 26*g - 15*g. Solve 3*i = 7 - g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -9. Suppose r + 2*f - 5*f = -2, -y*r = 2*f - 7. Let n be ((-2)\/(-10))\/((-2)\/(-5)). What is the closest to r in -1.2, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r - 61*r = -1345140. Is r a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 300 - -28. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6663 divided by 2221?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 20 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242169 to the power of 1\/2, to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1676496 divided by 3\nAnswer: -558832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 63\/12 - (-6)\/8. Let o(r) = 2*r + 4. Calculate the remainder when o(i) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in -0.3, -6\/7, -1\/8, -57?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 l when three letters picked without replacement from {g: 1, n: 6, w: 3, l: 3, k: 4, q: 1}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38716477?\nAnswer: 38716477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = h + 6, -2*h = -2*f - 1 - 7. Let k be 3*-3*h\/9. Let w = 12 - k. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19324147.67 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - z + 472, -5*z = 6*k - k - 800. Suppose 0 = -0*d + 3*d - k. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14018*0.1.\nAnswer: 1401.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.141 (b) 3\/215 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45334 + -226674\/5. Put q, 0.31, -1, -5, 10 in increasing order.\nAnswer: -5, -1, q, 0.31, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 609, -322, 5, 4 in increasing order.\nAnswer: -322, -3, 4, 5, 609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221 (base 3) in base 2?\nAnswer: 110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -7)\/(9\/210). Suppose 15*a - h = 10*a. Suppose 42 = 5*d - 58. Calculate the least common multiple of a and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**2 + b**3 + 4*b**2 + (8 - 5*b**2 - 8)*(-2*b - 3*b + 3*b)*(7 + 0 - 2)*(11 + 0 + 1) in the form p*b + h*b**2 + k + t*b**3 and give t.\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 68, 170, 312?\n\"Answer: 20*b**2 + 2*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j*q**3 - 644*j*q**2 + 927*q**5 - q**2 + 1 wrt q.\nAnswer: -12*j + 55620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oso when three letters picked without replacement from ssoosoo.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/330 and -41\/110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544 + 549 = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.281 + 4.19. Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1299 or 1302?\nAnswer: 1299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:57 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p - 3. Let z(r) be the first derivative of 4*r + 28 - 2*r**2 + 27 - 84. Let k = 5 + -8. Give k*c(b) - 2*z(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 21161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233365, -933483, -2100347, -3733957, -5834313, -8401415?\nAnswer: -11435263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 50 = -4*q, 0 = 6*c - 3*c + 15. Suppose 0 = 5*r + 5 - q, -5*r + 115 = 5*p. What are the prime factors of (-7)\/p + 421\/3?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 25. Let a be z\/(-2) + 6\/(-2). Suppose 0 = -a*c - 2*c + 4. What is the lowest common multiple of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 263.218?\nAnswer: 263.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(((-5)\/(180\/(-16)))\/((-288)\/(-972)))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21170, 38759, 56348, 73937, 91526?\n\"Answer: 17589*j + 3581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 119*w + 20407. What is a(-174)?\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 + 54551*p\/4 + 9135059\/2.\nAnswer: (p + 337)*(p + 54214)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -7. Let l be (-2 - z) + (12 - 8). Suppose 2*f = l*f - 100. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 - -50. Let g be (18\/(-72))\/(2\/w). Suppose 6 = 2*c, -4*m + g*c - 518 = -3049. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = n + 16*n. Suppose g - 155 = -5*u, 4*g + 76 - 6 = n*u. Calculate the greatest common factor of u and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1499 - -48312.\nAnswer: 49811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6603 - -6599. Which is the biggest value? (a) 0.0751 (b) j (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508\/3*81\/54.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 120*v - 39*v = 117*v - 11790 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*p - 2*q, 5*p - 2*q = -q + 24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.74 + -4.64. Let h = 1 + -0.8. Let o = -0.3 + h. Which is the closest to -3? (a) o (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0*g + 7*g)*(-3*g**4 - 17*g**4 - 5*g**4) + 28*g**5 - 5*g**5 + 5*g**5.\nAnswer: -97*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 2:03 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 18 = 2*i - 3*z, 0 = -3*z - 3. Let a be (i - 2)*(-6)\/(-6). Suppose 4*s - 4*h - 79 + 31 = 0, a*s - 5*h = 46. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/186804 and -41\/6156.\nAnswer: 31943484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 602699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2 + 7*u - 5. Let x be i(6). Suppose 4*s + x = 1733. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -5. Suppose 0 = 6*i - 9*i + 120. Suppose -w = 3*y - 4*w - 90, a*w = y - i. Is y 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 12:57 PM and 10:53 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -48*k + 227*k**2 - 228*k**2 + 3313 - 3595. What is w(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 4*w - 175109, -113*c - 4*w - 175069 = -116*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - a - 99 = -8*k, -2*k + 36 = -4*a. Let b = 524 + -304. What is the highest common divisor of b and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344370757?\nAnswer: 2203, 156319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*v = -184*v - 52 + 121. Factor 0*i**v - 1\/2*i**4 + 0*i + i**2 - 1\/2.\nAnswer: -(i - 1)**2*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 37*y**3 + 41*y**3 - 35*y**3.\nAnswer: -31*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 26*d**2 + 4*d - 21. Calculate q(-3).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 7*n**2 + 5*n - 3. Let g be k(-6). Suppose g*w - 25 = 2. Suppose 2*z - z = 2*h + 13, z = h + w. Let f(i) = i**2 - 4*i - 1. Calculate f(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617807273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 25*h**6\/27 - 2*h**5\/9 - 3*h**4\/2 + 10*h**3\/27 + 2*h**2\/9 - 4. Determine n, given that j(n) = 0.\nAnswer: -1, -1\/5, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -316*m**3 - m**2 - m - 4957?\nAnswer: -948*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1059667 != -1059665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -6)\/(14\/(-38)) + -3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 633 = 5*p - 747. Let d = -277 + p. Which is the nearest to d? (a) 4\/5 (b) -5 (c) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*y + 53*y + 20. Put 1, 6, y, -2 in descending order.\nAnswer: 6, 1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8*a + 0)*((5 - 3 + 1)*(-1 - 1 + 3) - 17 - 2 + 7).\nAnswer: 72*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5220.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1051, 0.5, 0.435 in descending order.\nAnswer: 0.5, 0.435, -1051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10622 (base 15) to base 10.\nAnswer: 52007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 359*u**9\/504 - 167*u**5\/6 + 763*u**2. Find the third derivative of q(b) wrt b.\nAnswer: 43080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(4\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000321813 to seven decimal places.\nAnswer: 0.0000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**2 - 144*r + 5184 = 0.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -36.4. Let r(z) = -z**3 + 11*z**2 + 12*z - 9. Let u be r(9). Let o be (6\/(-4))\/(u\/(-12)). Sort -2, b, o in descending order.\nAnswer: b, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/1667 + 5005\/3334. Let y = -0.016 + 0.116. What is the closest to 1 in -0.8, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 5:32 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -207 + 210. What is the lowest common multiple of (2 - (2 - 2\/g))*36 and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2656)\/6)\/(-2) + (-8)\/24. Suppose 231 = 4*f - 7*f. Let m = f + g. Is 29 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 - 120 - 10*n**2 - 8*n**3 + 11*n**2 + 12*n**3.\nAnswer: -n**3 + n**2 - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32626638101250*a**2\/13 + 32311800*a\/13 - 8\/13.\nAnswer: -2*(4038975*a - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(551\/(-8120) - 9\/1260*8).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.23818 and 4.\nAnswer: 3.76182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10442 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = -96. Suppose -k = -5*c + 21. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 11238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/5 and 2\/923.\nAnswer: 4615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586222363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**3\/3 - 7*n**2\/2 + 5*n + 2. Suppose 17 = -5*z - s, -3*s = -z - s + 1. Let f be 1 - (-5 - 6\/z). Calculate x(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 4. Let b(n) = -n - 7. Let f be b(-6). Let p be (-2 - 7*f)\/(-1). Sort 4, z, p in ascending order.\nAnswer: p, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3223*a**3 + 7*a**2 - 4*a - 14. Let w(c) = 1074*c**3 + 2*c**2 - c - 4. What is 2*b(r) - 7*w(r)?\nAnswer: -1072*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 441\/15 - (-3)\/5. Let m be (-396)\/14 + g\/105. Let u = -22 - m. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:39 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.05 (b) -0.5 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -83?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 9:59 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 199 (b) 19081 (c) 2\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3 - 32 = 0. Let n(w) be the first derivative of -w**3\/3 + 21*w**2\/2 + 24*w + 25. Let h be n(22). Solve -h*x - 3 = -i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 129, 256, 383, 510, 637?\n\"Answer: 127*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62524 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -15. Let y = l - -12.2. Do 5 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724 (base 8) to base 4.\nAnswer: 13110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18313902?\nAnswer: 2, 3, 1017439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3992 is divided by 1204.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28289, 28296, 28315, 28352, 28413, 28504, 28631, 28800?\n\"Answer: u**3 + 28288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 8*s + 2. Let p be h(6). Let l be (-2)\/14 - 40\/p. Which is smaller: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(91) + -4*sqrt(91)*1 + sqrt(91) + sqrt(91) + (sqrt(91) - 3*sqrt(91)*-2))\/(3*(1*sqrt(252) + sqrt(252))))*-2.\nAnswer: -sqrt(13)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a\/(a**(-3)\/a)*a))*a)**(-3\/17))**9*a**(-8)*a**(-7)*a**(-6)\/a**(-2\/3) assuming a is positive.\nAnswer: a**(-1685\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 19. Calculate u(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1, -109, 33, 21 in descending order.\nAnswer: 33, 21, 5, 2, 1, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 45006377.\nAnswer: 45006374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 105\/19 (c) 4 (d) -11 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + -5 + 4 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16\/9 + -5\/18. Let r = 7\/3 - 2. Let y = r - 2\/9. Which is the closest to 0? (a) y (b) z (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2378*c + 2*c**3 - 1147*c - 1231*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 w when four letters picked without replacement from wbwwbww?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 - (2 + 9\/(-3)). Let i be 1\/(-1 + c\/(-9)). Let s(t) = 2*t**2 + 2*t + 4. What are the prime factors of s(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 101*s**2 + 113*s - 1019. Calculate b(102).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*q - 8. Let a = -1 + -9. Find the common denominator of 145\/12 and 45\/a - q - (-113)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884000353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535 + 390 = 25*u. Suppose 0 = u*q + 9*q - 61318. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/5*(4\/(-16))\/(19\/152*-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 16 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 - 21*q**2 - 45*q\/2.\nAnswer: 3*q*(q - 15)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 - 6 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/12*-3 + (-4)\/(-2). Suppose -6*p + 4*p = 2, -3266 = -m*n - p. Suppose 7*d + 2*d = n. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -4 + (51 - 19 - 1).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k*n*r**3 + 10*k*r**3 + 25*n - 2*r**3 with respect to k.\nAnswer: -3*n*r**3 + 10*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -178a + -6?\nAnswer: -1795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80*i**2 + 14740*i - 14738*i - 76*i**2 + 0*i + 0*i - i**2 - 2*i**2 + 0*i**2 + 0*i**2 + (-2*i + 0 + 0)*(i - 3 + 3).\nAnswer: -161*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -4, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8 - 4 - 2 - 16*p - 2.\nAnswer: -16*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 0*q + 48 - 32 - q. Let n be d(14). What is the smallest common multiple of 8 and 27\/n + 15\/30?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(6*(sqrt(1053)*-4)**2 + sqrt(1053) + sqrt(1053)).\nAnswer: -505440 - 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1896 divided by 6.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 6119.\nAnswer: -6119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 841 and 5?\nAnswer: 4205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.098 + 0.098. Let g = -1223 + 1226. Which is the third smallest value? (a) h (b) g (c) 11\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 272, 2171, 7332, 17393, 33992, 58767, 93356?\n\"Answer: 273*g**3 - 7*g**2 + 9*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 24*g**2 + 24*g - 4. Let d be x(23). Suppose -d*c + 25*c = 1344. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1956 divide 139701432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(28))\/sqrt(4))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -131263, -262044, -391865, -520246, -646707?\n\"Answer: 80*x**3 - 131341*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmuuuubuum. What is prob of sequence muuu?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 + 1132 = -104*y + 31 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 166\/9. What is the common denominator of 4\/8*(-106)\/(-21) and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -10*o + 12*o. Suppose 9 + o = 5*f. Sort 9, 3, f in decreasing order.\nAnswer: 9, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/6 (b) -0.5 (c) 1\/7 (d) -2\/237 (e) -66.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1065)\/38 + 48\/1824.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqx when three letters picked without replacement from sqsxxss?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001110 + 110101?\nAnswer: -10011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*r - 319 + 319.\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2076 = -5*s + s, -2*i - 8 = 0. Suppose 3*a + 5*p = s, -12*p + 13*p = a - 177. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 4*s**2 + s + 1. Let g be y(4). Let c(z) = -z**2 + 1. Let b be c(1). Suppose b = 2*k - 3*k. Solve k*h + 15 = -g*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-11) - (64\/(-44))\/8. Let j(i) = -11*i + 129. What is the remainder when j(x) is divided by 37\/3 + 8\/(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(-4 + 2*sqrt(80) + sqrt(80)).\nAnswer: -72*sqrt(5) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*x**3 + 1 + 852*x**2 + 857*x**2 - 1730*x**2 as d + k*x + l*x**3 + t*x**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*o + 53 - 53 in the form x*o + k and give x.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 13*k**2 + 1 - 8*k**2 - 152 + 84.\nAnswer: -21*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -90*c**2. Let n(o) = 3*o. Calculate y(n(m)).\nAnswer: -810*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140447.\nAnswer: 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-165)\/(-6))\/(-5) - (-1)\/2. Let k be g\/10 - (-3)\/2. Let i(p) = -4*p + 4. Let b be i(k). Solve b*u + 3*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.6 (b) 13 (c) -329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 33*v**2 + 38*v - 6. What are the prime factors of s(-6)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9))\/(612\/1377) + (-81)\/(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 - 2*a - 8. Calculate the remainder when m(-5) is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -355\/3? (a) 5 (b) -2\/15 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44630279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -161170964*j**2*n**3 - 2*j*n**3 + 733850*j*n**2 + 4*n**2 - 14 wrt j?\nAnswer: -322341928*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -47 - 8) + 16?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -904, -1707, -2510, -3313?\nAnswer: -4116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqnn when four letters picked without replacement from qqqqnnnqc.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(175))**2*6 + sqrt(525)\/sqrt(3) + (sqrt(126)\/sqrt(9))\/sqrt(2).\nAnswer: -414*sqrt(7) + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(2\/25)*(a\/(a\/(a**(-11)\/a)))**20 assuming a is positive.\nAnswer: a**(-6004\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13386726 + 13386727 + 55*r + 9*r - 7*r.\nAnswer: 57*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (2 + 1)) + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8226 + -8222. Solve -4*g - 4*f = 7 + 13, -25 = -t*g + 5*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28 - 28 + 13*u**2 - 2*u**2 + u**2 - u**2 + (-2*u**2 + 1 - 1)*(1 - 1 + 1) + 14 + 5*u**2 - 16 - 3*u**2.\nAnswer: 11*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j - 1. Let k be ((-2)\/3 + 0)*(7 + -10). Calculate s(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) 2\/11 (c) -2\/11 (d) 5 (e) -2\/631 (f) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 47468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntq when three letters picked without replacement from {n: 1, q: 2, t: 1, w: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x**3 - 19*x**2 - 103*x + 143. Is y(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121013 is divided by 3909.\nAnswer: 3743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjjjjjsschjshsjcjjj. What is prob of picking 3 j and 1 c?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 5*p + 32. Calculate b(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -299a48a4?\nAnswer: 299a48a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/66*672\/14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-16)*q*q)**(-15\/8)*q**(-20)\/(q**(-1\/2)*q) assuming q is positive.\nAnswer: q**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117218?\nAnswer: 2, 29, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-440)\/230*-1 - (4 + -2). What is the closest to -2 in t, 0.5, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2289.8 - -2290. Is a >= 597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2 - 123*o - 120 = 0.\nAnswer: -40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75*o**2 - 72*o**2 - 8*o - 45*o)*(2*o - 3*o + 0*o + (1 - 2*o - 1)*(-1 + 1 + 3)) to r*o**2 + a*o**3 + n + l*o and give r.\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p - 8. Calculate the remainder when 201 is divided by (-620)\/(-15) + (-1 + -2)\/p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 39\/((42\/4)\/7). Let j = 86 - x. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecc when three letters picked without replacement from {h: 1, c: 8, e: 4}?\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -1 - 11, f + 14 = 2*o for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -15. Let p be (-3)\/((-14858)\/(-90288) - 6\/(-81)). Are p and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-324)\/810)\/((-4)\/(-45))*1\/(5\/20).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/1*-63*810\/(-15309)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*b + 30 = 208*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 - 130.0000196. What is t rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 667, 666, 665, 664, 663, 662?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 - 12001202211002?\nAnswer: -12001202211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (422\/4)\/(1\/2). Let q = 448 - f. Suppose 4*s - q - 47 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 14?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 7634 = 10097. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*x + 8 = 0, -7*l + 2*l + 4*x = -14. Solve 2*q - 22 = 5*t, l*q = t - 2*q + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l + 8. Suppose -2*w + 25 = -5*m, l*w + 9 = 5*w + 2*m. What is the third smallest value in w, 0.1, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4776*h - 5*x = 4736*h - 9553*h + 160, -3*h - 30 = -5*x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-15)\/6)*1. Suppose -15*b - 3*b**3 - 12*b**2 + b + h*b = 0. What is b?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q = 175. Let c = 235 + -222. Calculate the remainder when q is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 4*m**2 + 33*m + 5. Calculate w(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.07098 * -71\nAnswer: -5.03958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -1)*-3 - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -57*a**3 - 30*a**2 - 36*a + 224. Is x(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + (-91)\/14)*-10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -75*g + 2. Let m = -4327 + 4328. Calculate f(m).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.2 + -4. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 6. Suppose 3*j - 3*q = 0, -2 - 5 = -g*j - 5*q. Calculate the common denominator of ((-210)\/55)\/(-2*j) and -65\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -30*p - 51. Let u(x) = -x**3 - 4*x**2 + 7*x + 24. Let b be u(-3). What are the prime factors of j(b)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 7:14 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 8 = -14*w + 2*g, 2*w - 3*g = 4. Let k(i) = w*i + 2*i - 4*i + 3*i. Let r(s) = s. Let n(c) = 2*c. Let l(d) = 4*n(d) - 7*r(d). What is l(k(b))?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -57.\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 881.9717 meters in kilometers?\nAnswer: 0.8819717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -635, -1171, -1605, -1937?\n\"Answer: 51*o**2 - 689*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2 - 234976*d + 72349 wrt d?\nAnswer: 4*d - 234976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 273457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 11*y**2 + 11*y + 9. Let u be h(12). Let z be (-2 + 3 - 1)\/(-4 - u). Put z, -4, -1 in ascending order.\nAnswer: -4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -519.\nAnswer: 1\/519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*y + 33 = 0, 4*k + 5*y - 11 = 5*k. Let v be 3 - (k + (-3 - 0)). Solve -a + 2*p = -4*a - 21, -4*p = v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 266*m**2 - 1. Let y(u) = -2*u**2. Determine o(y(j)).\nAnswer: 1064*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/81420 and 109\/6?\nAnswer: 81420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -85, -94, -85, -52, 11, 110?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 l, and 1 v when three letters picked without replacement from vbvftbtlvlbbbbbvvvvf.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 6, 57, 160, 333, 594, 961, 1452?\nAnswer: 2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 3*u + 7. Let r(p) = p - 2. What is f(d) - r(d)?\nAnswer: -2*d**2 + 2*d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-20)\/18*(-504)\/420)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -16 - (81 + (-13 - 13)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(5\/3)\/c)\/c*c)\/c**(-3\/2))\/(c*c*c**0)**(-8\/13) assuming c is positive.\nAnswer: c**(343\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18176 and 1278.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235023153 - -2?\nAnswer: 235023155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 6:40 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-929)\/5)\/(13\/(-130))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/5)\/12)\/((-5)\/(-45))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3511?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51974*x + 4*x**2 + 9820465 - 70838*x + 12420191.\nAnswer: 4*(x - 2358)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/166392 and -91\/610104?\nAnswer: 1830312","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/16*(10 + 1034\/(-99)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12030244 + 453?\nAnswer: 12031141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.82 + -81.18. Let v = 82.8 + p. Sort 2\/21, 1\/5, 1\/13, v in ascending order.\nAnswer: v, 1\/13, 2\/21, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 8) to base 7\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023692 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) + (-380)\/80. Let r be ((-1)\/(-1))\/(-3 + 44\/16). Put -1, 2, r, k in descending order.\nAnswer: 2, -1, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = k - 6*k - 5*u, -22 = -4*k - u. Suppose -a = -4*p + a + 16, -3*p - 5*a + 12 = 0. Solve n - k = -p*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-59 + 53 + 15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 2*v - 2*v)*(2*v + 0 + 0)*(-143 + 143 - 37*v) to k + u*v + m*v**3 + l*v**2 and give m.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00079043 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22109?\nAnswer: 22109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -214 - -221. Suppose -55 = -x*z - 4*z. Solve -t + 6 = z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/464070 and -37\/16467?\nAnswer: 5104770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 114373, 229681, 344989, 460297, 575605, 690913?\n\"Answer: 115308*p - 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2. Let n(d) = -16*d - 11. Determine r(n(o)).\nAnswer: -512*o**2 - 704*o - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11411486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(408177\/(-10292)) - 12\/(-15)*50\/(-420)?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 5*v. Suppose -13 = -2*k + k. Suppose -l + k = -2*q, -l = 2*q - 7*q - 28. Solve l + v = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 216011*b + 864057. What is y(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0199742627 to 4 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 10 = -f, 3*f = -5*r - 5. Let m = 17 - 11. Suppose 0 = -d - d + m. Solve -r*g + d = -3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*f**2 - 38*f + 38*f + (1 - 2 + 0)*(-1 + 1 + f**2) + 3*f**2 + 0*f**2 - 2*f**2 as w*f**2 + q + l*f and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/7 + 1822*z**2\/7 + 128588*z\/7 + 126768\/7 = 0.\nAnswer: -834, -76, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 451414\/896337 - -5\/7661. Find the common denominator of 71\/6344 and u.\nAnswer: 57096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131443302 + -11121?\nAnswer: -132004423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51, 204, 455, 798, 1227, 1736?\n\"Answer: -c**3 + 55*c**2 - 5*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99668 is divided by 226.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16373 - 42335 = 1169*l + 16122 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 37341 divided by 31\nAnswer: 37341\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012 times -2175?\nAnswer: -26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**37\/(f\/f**33*f))\/(f**(-2\/5)*f**(-32)\/f) assuming f is positive.\nAnswer: f**(507\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99948 is divided by 485.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.0722375 nanoseconds to weeks.\nAnswer: 0.00000000000009105859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**2 - 12353 + 12353.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 + 33*k**2 - 47*k - 318. What is m(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/35, -7, -11 in descending order.\nAnswer: -2\/35, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -860\/11 or -77?\nAnswer: -860\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 127, 6\/1669?\nAnswer: 6\/1669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*a = -88, 3*g - a = -0*g - 76. Let v be 43 + -40 + g\/10. Let y = -4.4 + 4. What is the closest to v in y, -1\/6, -1\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 51\/5 of a millennium?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7252476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.17757mm to centimeters.\nAnswer: 8.117757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7\/105*24*15*75\/18\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -63217 from 1.0297423.\nAnswer: 63218.0297423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*h + 319*h - 145*h - 3.\nAnswer: 510*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r**2 - r + 32. Let z be f(0). Let v = 48 - z. Suppose -p + 0*p - o = 0, -4*p + 4*o = -v. Solve p*c + 3*c + 25 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 0. Let p be (-8)\/6*(-18)\/b. Let o(y) = y**2 + 5*y + 7. What is the units digit of o(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (55\/(-33))\/(1\/(-3)). Solve 3 + 1 = -w + 2*q, -y*q + 4 = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + g - 48 = -z, -21 = -z - 2*g. What is the greatest common divisor of z and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4.35. Round c to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 7*b**2 - 2*b + 18. Suppose -8 = -2*y, a - 2 = -3*y + 7. Calculate the smallest common multiple of ((-36)\/(-10))\/(a\/(-10)) and f(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*s + 4*m, 4*m = -3*s + 5*s + 26. Let f = 21.9 + -22. Which is the nearest to f? (a) s (b) 3\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528662651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(2\/7)*i**(1\/6)*(i*i**5)\/i**4 assuming i is positive.\nAnswer: i**(145\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r - 1. Let x be r + (0 + -3 - -3). Suppose -13*k + 220 - 12 = 0. Solve x - k = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 3*k + 4. Let n be x(-3). Let v be 3*2\/(-3) + n. Let h be v\/4 + (-88)\/16. Let y(m) = 4*m. Let a(j) = 3*j. Determine h*y(z) + 7*a(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 53*q + 165, -49*w = -46*w - 4*q + 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 45 + 6. Let c be 2\/m - 12\/78. Let u(h) = -h**2 + h + 8. Calculate the least common multiple of u(c) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = 2*x - 512, -x - 1274 = -5*z. Let o(u) = -z*u - u**2 + 126*u - 3 + 135*u + 4. Let k(s) = 2*s. What is 7*k(p) - 2*o(p)?\nAnswer: 2*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/30 and -93\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 245, 498, 761, 1040, 1341, 1670, 2033, 2436?\n\"Answer: a**3 - a**2 + 249*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*d**4 + 3*d**3 + 34816*d**2 + 558952566 with respect to d.\nAnswer: 84*d**3 + 9*d**2 + 69632*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4*t - 130 = -158 + 107, -3*u = -4*t - 83 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-2))\/5*-86. Suppose 0 = g - 0*g + s. Let r = -29 - g. What is the remainder when 39 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2148321553 to the nearest integer?\nAnswer: 46350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-5 - -14 - -3) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 5*h**2 + 3*h - 2. Let r be a(-4). Suppose 3*c = -c. Suppose c = -r*n - 3*n + 30. Calculate the greatest common divisor of 18 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -30.6 (c) -3\/7 (d) -847\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14965 is divided by 366?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 7*x + 417 = 428, r + x = -5 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -7.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*i = -16, 773*o - 772*o - 4*i - 7 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105040 - -441?\nAnswer: 105511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -5 + (-6 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (0 - 5) + -3 + -22 + 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*g + 5*z + 2844 + 7721 = 0, 0 = 7*z - 10*z - 4 + 1 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005732423 to five dps.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1775*v**2 + 3*v - 2. Let x be i(1). Let z = 639 - x. Is z\/(-9) - 4\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (35 - (-4765)\/(-135))*1\/(-4)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 245 - 100?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-seven halves of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*(sqrt(847) - (sqrt(847) - (2*sqrt(847) - sqrt(847))*4)) - -5*(sqrt(847) + 0 + sqrt(847) + 0))**2.\nAnswer: 274427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*h - 4 + 1 + 3.\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 7*b - 21, -10*j + 2*b = -5*j + 6. Solve j = -5*t + p + 11, 7*t - 12*t - 5*p = -35 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {f: 7, v: 3, k: 1, t: 2, g: 4, b: 1}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 4*r. Let s(m) = 4*m**3 - 944*m**2 + 73040*m - 1898208. Let v(f) = -s(f) - 8*w(f). Factor v(h).\nAnswer: -4*(h - 78)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -111 and -0.3.\nAnswer: 33.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-7)\/((-21)\/4). Suppose q = 83 - 79. What is the smallest value in q, 1\/8, w?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:56 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.549 times -0.8?\nAnswer: 0.4392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 249248951 to the power of 1\/2, to the nearest integer?\nAnswer: 15788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 407 = -14*k. Let q = k + -78. Which is smaller: q or -114?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -9 - (3 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18 - 11)\/(2\/37)*(-4 - -14). What is the highest common divisor of 70 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176016 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -32003323202 (base 4) to base 16\nAnswer: -383ee2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -139397509 to the nearest 10000.\nAnswer: -139400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 4. Let h be b(-4). Suppose -7*k - 2*k + 1647 = h. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -532, 8, 0, 2\/9, -26175.\nAnswer: -26175, -532, 0, 2\/9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n**5 - 256870*n**4 - 2356984017*n**3 - 8751445606*n**2 - 4375264156*n + 2019454296 = 0.\nAnswer: -18346, -3, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, r: 3, o: 2}. What is prob of sequence rmrr?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*y**2 - 1 - 8 - 1 + 7 wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l + 133 + 129 + 130 - 392. Let j(q) = -2*q - 270. Give j(c(d)).\nAnswer: -8*d - 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/21)\/(350\/150).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9*h**2. Let x(u) = u - 3*u + 4*u + 2*u. What is x(j(p))?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/17 + -3\/119. Let r = 5.02 + -5. Let z = 0.02 - r. Which is the third smallest value? (a) y (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292661 is divided by 895?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 88 - 179 - (10 + 2) - -13 - -10\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/9 - 21466892*f\/9 - 57603431517458\/9.\nAnswer: -2*(f + 5366723)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 10:21 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/60 + s**3\/3 + 2*s**2. Let f(b) be the first derivative of m(b). Let l(z) = 3 + 1 - 4*z - 4. Give l(f(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*h - 92*h = -95. Solve 1 = 2*n + i, -h*n - 3*i + 5*i + 7 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 24 = -4*n, -41*n + 5*b = -39*n. Suppose -2*l - 8 = 0, 4*l + n = -p + 62. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -258125145 - 3?\nAnswer: -258125148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -7. Let y be 10\/u + (-5)\/(-10). Suppose 4*g - 4 = y*g. Solve 2*x + 2*o = g, 4*x + o = -4*o + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (25113 - (7 + -8) - 3) + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v - 4*v + 5 + 12*v - 3*v + v in the form s*v + j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10260)\/(-10450) + 2\/(-11))\/((-4)\/(-70))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 387\/173434 or 0?\nAnswer: 387\/173434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 420*f.\nAnswer: 420*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = -1635. Let h = -115 - t. Suppose h = -0*a + 4*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-4)))**(-18))**(-4)*(d**(2\/7)*d*d)\/d**(-6)*((d*d\/(d**(-2\/5)*d)*d)\/d)\/((d*d*d**1)\/d) assuming d is positive.\nAnswer: d**(10349\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*j + 8*j + 15*j)*(5 + 7 - 4)*(38 - 28*j - 38)*(4 + 0 - 2).\nAnswer: -2688*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1775 and 200?\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/3 - 11588632*x + 25180573430892.\nAnswer: 4*(x - 4345737)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000087 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**2*z**3 - 17835*c**2 - c*z**2 - 7190*z**3 wrt z?\nAnswer: -6*c**2 - 43140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*t - 3 - 12, 2*t + 2*z = 14. Let q(y) = -y**3 - 9 + 4*y + 3*y + 8*y**2 - 4*y. What are the prime factors of q(t)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**8\/84 + 8*c**7\/105 - c**6\/5 + 4*c**5\/15 - c**4\/6 + 3*c**2. Let r(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -58308982\nAnswer: 58308976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 14 (b) -1710\/29 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1134 + 2390 = 8012*q - 1812 - 4944 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 516911429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(2 - 3)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5 = -c, 3*k - c = -1 + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/35, 1\/24, 61 in decreasing order.\nAnswer: 61, 1\/24, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 15*o + 44. Let n(w) = -15*w - 43. Let b(u) = -5*n(u) - 4*p(u). Let z(q) = -3*q - 8. Let t(m) = 2*b(m) + 11*z(m). Is t(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 20 (b) -0.2 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 27849033.\nAnswer: 27849033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3301295 to the power of 1\/2, to the nearest integer?\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -14. Find the second derivative of -97*v + 69*v + 0*v**5 - 2*v**c wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37880288 - -4?\nAnswer: -37880284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2599793 divided by -3\nAnswer: 2599793\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 0*r - 2*r)*(11 - 11 - 7*r) + 0*r**2 + r**2 - 4*r**2 + (-r + 3*r - 4*r)*(-2 + 4*r - 2*r - r).\nAnswer: -26*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3179 - -0.1821. Put 20, b, -24 in ascending order.\nAnswer: -24, b, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 6:29 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11 + 20*j**2 - 15*j**2 - 14*j**2 + 2*j. Let q be 17\/4 + (-2)\/8. Suppose s - 2 = q. Let h(i) = -4*i**2 + i + 5. Give s*r(n) - 13*h(n).\nAnswer: -2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 45*x + 199. Let h be n(7). Which is smaller: 515 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1012 - -1008. Which is the third smallest value? (a) g (b) -0.4 (c) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l**2 + 3*l - 21. Let t(n) = -15*n**2 - 5*n + 42. Let h(d) = -3*t(d) - 5*w(d). Differentiate h(i) wrt i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + ((-1*((sqrt(128)*2 + sqrt(128) - sqrt(128)) + sqrt(128)) + sqrt(128))**2 + sqrt(128) + sqrt(128) - (sqrt(128) - 1*(sqrt(128) + -4)))*-6.\nAnswer: -3048 - 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(5*u**2 - 2*u**2 - u**2) + (u - 2*u + 2*u)*(-6*u - u - 13*u).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:38 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10974700 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 37 - 839*o - 103 + 34 - 968*o.\nAnswer: -1807*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 9:15 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40510043 (base 6) in base 14?\nAnswer: 222a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 1. Let x be p(-6). Suppose 20 = x*z + 2*b, 3*z - 5*b = 1 + 11. Suppose 0 = 3*y - 5*y + 4, -z*y + 8 = -3*n. Solve n = -5*o, 3*r - r = 2*o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 696*p + 30276.\nAnswer: 4*(p + 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*u - 43554, i + 2*u = 6*i - 54426. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 27*t + 141. Determine u(23).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-5\/4)\/z)*z**(-6)*z**(-1\/3)*z\/(z*((z*z**(1\/2)\/z*z)\/z)\/z)*((z**(-3))**(-1\/8))**(-1\/4) assuming z is positive.\nAnswer: z**(-257\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 21*i**2 - 209*i - 92. Give p(9).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.237 (b) 8\/17 (c) 2 (d) -8 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3509 divide 2398327811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/39, 4, -2\/9, -2\/5, -31 in ascending order.\nAnswer: -31, -2\/5, -2\/9, 2\/39, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3314195663 to the nearest 100000.\nAnswer: -3314200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3394640 (base 10) in base 3?\nAnswer: -20101110120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214414 = 7*p + 2*w - 4289241, -2910604 = -5*p + 3*w. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 d when four letters picked without replacement from {g: 7, d: 7}?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + 1. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (875\/70 + -12)\/((-1)\/(-7)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -27*k**2 - 1374*k - 1293. Determine o(-50).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1796285 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 172973\/24 + -7207. Let l(h) be the second derivative of 5\/2*h**2 - 5\/12*h**3 + 0 - 2*h - b*h**4. Factor l(m).\nAnswer: -5*(m - 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(((-30)\/25)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arrfwrrwwrwrrortwr. Give prob of sequence raor.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**2*r**3 + f**2*r**2 - 28168*f*r**3 - 14*r**2 + 172*r - 3 wrt r.\nAnswer: -24*f**2 - 169008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 684, 1371, 2060, 2751?\nAnswer: 3444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -7. Let i(y) = 157*y + 1567. Let c be i(-10). Sort -1, r, c in increasing order.\nAnswer: r, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2384, 2465, 2546?\nAnswer: 2627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5 + -22 + 9 - (-3 - 23) - 23.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = d - 9. Solve q + 2*w + 4 = d, -q + 4 = w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*o - 3*c, -3*c + c - 8 = 0. Suppose m + o = 3. Solve m*w - 12 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.338 in -3\/4, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11553648 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**8\/1680 + 7*d**2. Suppose a(s) = 0. What is s?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j - 4. Let s be z(3). Suppose s*k + 4*d = 54, 5*k - 2*d - 123 = -6*d. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 10*n + 4. Let u be o(-3). Let z = 51 + u. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -347, 3\/2, -1\/19 in increasing order.\nAnswer: -347, -1\/19, 3\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94447 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3872\/(-2112) - 940\/(-516).\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-20))\/(9348\/2280)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**2*i**2 - 61*f**2*i - 2*i**2 - 8*i wrt f?\nAnswer: -4*f*i**2 - 122*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -781, -1656, -3159, -5500, -8889, -13536?\nAnswer: -19651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 - y**4 - 44 + 3*y**2 - 4*y**2 + 3*y - 2*y**3 to the form h*y + w + d*y**4 + l*y**2 + p*y**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29906 and 418?\nAnswer: 328966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.44, 4, -5\/63, 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60368 divided by -3773.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 87027604 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-7 - -4))\/(-2 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, k: 3}. Give prob of picking 2 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 12. Let s = w + 1. Let p = -11.6 + s. Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 3\/2 (c) 44 (d) -0.5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37\/84 + -4\/21. Which is the nearest to i? (a) 4 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*k + 168, 2*l - 2*k - 75 - 37 = 0. Let q = l + -3. Suppose q = 2*w - 5*v, -w + 6*w - 185 = 2*v. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)\/i)**(-1)*((i*i*((i*i**0)\/i)\/i)\/i)**(-8\/7)*i*i**(2\/3)\/i*i**(-2\/3)*(i**(-4)*i*i)\/(i*i*(i*i\/(i*i**6)*i)\/i*i) assuming i is positive.\nAnswer: i**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.29 + -3.29. Is 142 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -283, 1\/3, 1\/190311 in increasing order.\nAnswer: -283, 1\/190311, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.530272582 rounded to three decimal places?\nAnswer: 3.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*l = -0*w - 14, 0 = -l - 2. What is the remainder when w is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(4\/16*4). Suppose 6*v - v + 2*h - 21 = 0, w*v - h - 27 = 0. Solve -4*s + 1 = v*i - 12, -4*s + 8 = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 56075.12l?\nAnswer: 56075120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -137028322 divided by 432266?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 238424.634s?\nAnswer: 2.759544375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 2*c - 2*c - 3*c in the form a + l*c and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/7 + 605799*h\/7 + 69100074\/7.\nAnswer: -3*(h - 202047)*(h + 114)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/8)\/((-730)\/(-80) + -9). Solve y*z = -b + 3, -1 + 4 = 3*z + 3*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7733\/(-1463)*(-21)\/(-3)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.29 + -2.3. Let j = 0.01 + y. Suppose 5*r = 4*l, 6*r - 4*l = 4*r. Sort 1\/2, j, r, 5.\nAnswer: r, 1\/2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x = -592. Let u(j) = -j**3 - 8*j**2 + 49*j + 140. Let s be u(-13). What is the second derivative of -x*a + 21*a**2 - 156*a + s*a wrt a?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4338 divided by -1446\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 10*n - 65. Let y be (n\/(39\/18))\/2. Solve -y*a + 20 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2689 = -502*v + 2576 - 14947 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2452 + 1916. Does 42 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*(sqrt(50)*-5)\/sqrt(5))\/(sqrt(25)\/sqrt(320) + (sqrt(45) - sqrt(450)\/sqrt(10)) + sqrt(5)).\nAnswer: 200*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.92 + 6.92. Let y = 0.208 + -0.377. Let l = y + 0.069. What is the second smallest value in 1\/4, l, -0.2, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 0*f**2 - f**2 + f - f. Let a(y) be the second derivative of y + 0*y**2 - 1\/12*y**4 + 0*y**3 + 0. Determine a(x(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 0*x**3 + 4*x + 0 - 10*x**2 + 1\/24*x**4 - 1\/60*x**5. Let a(z) = z**2 - 2*z. Give -a(n) - 2*c(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 - 4*j + 5. Let s(v) = 4*v**2 + 5*v - 6. Let n(u) = 6*p(u) + 5*s(u). Calculate n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - v + 4*v + (-16*v - 3 + 3)*(-3 + 8 - 3) + 2*v - 2*v + 2*v - 2*v + 4*v + 0*v + (-5*v + 0*v + 3*v)*(3 + 3 - 7) to the form t + u*v and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19339 - 19339 - 8*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 379 - 169. Suppose 0 = 15*x - 13*x - o. Suppose 8*b - 449 = -x. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/2? (a) -1.1 (b) 0.5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (3 + 0 - 8) - -6) + -18?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10122 and 50610.\nAnswer: 50610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17698 is divided by 763?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -2820\/13 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)*-2)\/(sqrt(4)*-2*5) - (2 + -2*((-1*sqrt(1377) - sqrt(1377)) + 3))**2.\nAnswer: -22048 + 1438*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**2*p*q**2 + j**2*p*q + j**2*p - 12*j**2*q + 118*j*p*q - 6*p*q**2 - q**2 wrt j.\nAnswer: 4*p*q**2 + 2*p*q + 2*p - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/65 - -6*39\/30?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*20\/(-16)*2. Let v(s) = 4*s**3 + 5*s**2 - 5*s + 5. Let b(n) = 2*n**3 + 2*n**2 - 2*n + 2. Determine m*b(c) - 2*v(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 3 (b) 1\/22 (c) -3 (d) -1\/5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527173*b - 9*b**2 - 527173*b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 68 = -2*o + 54, 33 = -4*o + 5*x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2457*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2191 - 2194. Which is the nearest to 0.5? (a) h (b) 2\/9 (c) -1.1 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26a688 - 0?\nAnswer: 26a688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*j + 13 - 13 + 172*j + 3*j**2 to k*j**2 + a + h*j and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34120215199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 22*r, -2*k + 2*k - 7*k + 10 = -3*k + 54 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*u - 8. Find the third derivative of n**2 + 3*n**2 + 3*n**3 - n**u - n**2 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 2*r + 4*z, 2*z - 31 = -4*r + 135. What is the smallest common multiple of r and 7?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - 4 - (0 - 7). Let o be (6\/h)\/(1\/6). Let z = o - 4. Solve -s = -z*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215a8 (base 13) to base 15\nAnswer: 12d02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b - 14 = 2*k, 0 = b + 3*k + 10. Let f = 7 - b. Suppose -124 = -4*r + 2*o, 0 = f*r + 3*o - 72 - 105. Is 34 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1298 + -1275. Let i = -49 + 33. Let m = i + 27. Calculate the smallest common multiple of m and b.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -9, -0.01, 5, 21\/8?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*h**2 - 671*h**2 + 220*h**2 + h + 224*h**2.\nAnswer: -2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/6 + 3)\/(-11 + (-549)\/(-54)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -204, -211, -218, -225?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 142508*x. Let m(g) = -63*g**2. Determine m(k(n)).\nAnswer: -1279437394032*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 5*j + 7. Let l be p(4). Let w be (78\/(-18) - l)\/(2\/39). Is w smaller than 72\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3271 smaller than -16349\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-58)*-86*90\/11610.\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7)\/63)\/(-1))\/(240\/(-108))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + l = -3*k - 9, 3*k - 3*l = -3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 800687.074 rounded to the nearest ten?\nAnswer: 800690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1370868 to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -18*q**4 + 4*q**3 - 61*q**2 - 7. Let m(w) = 9*w**4 - 2*w**3 + 30*w**2 + 4. Let s(h) = -7*m(h) - 4*x(h). Find the third derivative of s(b) wrt b.\nAnswer: 216*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436*o = 101*o - 27*o - 510. What is the smallest common multiple of 5\/((-10)\/(-16)) - -2 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -5*w + 16. Sort -3, 3, w in descending order.\nAnswer: 3, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -69*q**2 + 6*q + 6. Let a(p) = p + 1 + 12*p**3 - 25*p**3 + 12*p**3. Let w(h) = 6*a(h) - l(h). Find the third derivative of w(x) wrt x.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 2*10\/(-16). Let w = -6.3 + 1217.3. Let x = w + -1210.9. Which is the closest to i? (a) x (b) 5\/24 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-1)\/l))*l*l\/l**(-2\/25))\/(l**(2\/9)\/l*l)**(2\/85))\/((l**(-2\/9)\/l*l*l)**(-5\/13))**(3\/8) assuming l is positive.\nAnswer: l**(74369\/397800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1131214, -1131213, -1131212, -1131211, -1131210?\n\"Answer: b - 1131215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*l + q - 3*q, 0 = 3*l - q + 1. Let a(u) = -2*u**3 + 2*u**2 + 2*u. Let x be 1 + (20\/5)\/4. Let d be a(x). Put d, 0, l in descending order.\nAnswer: l, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from speekepes. What is prob of sequence kp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -100500 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 32*r - 749. Determine b(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1176 and 64232?\nAnswer: 1348872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w - 113. Let t be v(-17). Let k be (-18)\/(-4) + 10\/20. Put 4, t, k, -3 in decreasing order.\nAnswer: t, k, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7176\/88 + -76 + (-18)\/33.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343475168761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.5 + -13. Let o = 15 + -19. What is the closest to 0.1 in 1\/3, y, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 + 0*k**5 + k**5 + (-2*k + 2*k - k)*(3*k**4 + 3*k**4 - 4*k**4) - 26*k**4 + 26*k**4 + 4*k**5.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, u: 16}. Give prob of picking 1 i and 3 u.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1891*s - 152. Is l(-1) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-4 + 1) - -2. Suppose p*w = 6*w - 102. Let s = w + -30. Solve 0 = r - 3*f + 17, -s*r = -5*f + 11 + 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 2038\/73?\nAnswer: 2038\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1337*d - 715 - 328 = -294*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12937.\nAnswer: 17, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 20 = -57*i - 232 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -2407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*m + 82 = 63*m + 22. Suppose 2*p + 2 = -0*p - g, 4*p = 3*g + 16. Suppose 5*b = -4*x - 6, 4*b - p = x + 11. Solve 0 = 2*k + b + m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0327 times 86.549\nAnswer: -2.8301523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)\/i)**(2\/103)*(i**4\/i*i*i)**(-9\/10))**(2\/25) assuming i is positive.\nAnswer: i**(-939\/2575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.174 - 46339.\nAnswer: -46339.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 5, 46.5, 1\/3, -21.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 804686, 804688, 804690?\n\"Answer: 2*a + 804684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 27 + 18*j - 17 - 26. Suppose 5*g = 3*g + 2. Let i(z) = z + 1. Let b(l) = g*c(l) + 6*i(l). What is the derivative of b(o) wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -153872*o**5 + 1608800*o**4\/3 - 1591684*o**3\/3 + 437704*o**2\/3 + 6772*o\/3 + 8 = 0.\nAnswer: -3\/326, -1\/177, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 455 + -317. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -21 - (-12 + -34 + 52 - 0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -19*l**4\/12 + 17*l**2\/2 + 2*l - 3. Let u(s) be the first derivative of f(s). Differentiate u(t) with respect to t.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s + 1. Let b be i(0). Let f = 30 - -129. Is (-2)\/(-6)*f\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118664401 to the power of 1\/3, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-9)\/z**(7\/3))**(3\/5) assuming z is positive.\nAnswer: z**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1161 - -1184. Solve -16*u + w = 7*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 10*h - 15. Let g be 3 + -1 - 2 - (2 - 13). Give f(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*a + 4. Let h = a - -4. Let t(j) = 8*j**2 + j - 1. Let l be t(1). Solve h*p - 6*p = l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4497, -9014, -13551, -18114, -22709, -27342, -32019?\n\"Answer: -u**3 - 4*u**2 - 4498*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 43360 = -185*t + 190*t, -8680 = -t + 5*u. Does 30 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o - 3*o - o)*(-3 - 4 + 5)*(4*o**4 - o**4 - 2*o**4).\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -163 - 228. Let d = 392 + h. Solve -5*m - q + 1 = 0, 0*m - q - d = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**5 - 20965*j**4 + 589590*j**3 - 5693490*j**2 + 20510415*j - 15385545 = 0.\nAnswer: -4221, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/7 and -93\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u + 17. Calculate h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**3\/5 + 144230*q**2 + 65007525886*q\/5 + 65006804738\/5 = 0?\nAnswer: -180287, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5692, 11385, 17092, 22819, 28572?\nAnswer: 34357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -38. Suppose 3*b = -g + 64. Suppose -3*q + b = 0, -2*q + 0 + 14 = 4*c. Let i(p) = -5*p - 1. Give i(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 21103064.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 0. Let u = 15 + f. Suppose -3 = u*s - 8*s. Solve 2*b - 1 = s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3}. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -6*f**5\/5 + 15*f**4\/4 + 21*f**3 + 57*f**2\/2 + 15*f + 71. Solve y(s) = 0.\nAnswer: -1, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -291, 1\/5, -2, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 3*c - 2. Let w be j(-2). Suppose -2*u = 3*h - 11, -5*u = 13 + 12. Let p = h - w. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138*r + 411*r - 347*r - 1159*r - 468*r to t*r + i and give t.\nAnswer: -1425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 0)*-66 - (-13 - -13). Let a = t + -130. Suppose 4*v - a = 3*v. Solve 0 = -0*h - h - v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4384\/360 + -12)\/(3 - (-252)\/(-80)) and (-579)\/(-162)*-1 + 3.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -489 - -486.09. Let f = 2.8 + p. Let y = 0.01 + f. Which is the nearest to y? (a) 5 (b) -0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {q: 2, t: 3, j: 1, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -19?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 1\/3*g**3 - 6*g**2 + 22*g + 0 + 1\/6*g**4. Solve a(n) = 0 for n.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1640 + 1641.72. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 2545*j**3\/6 - 1457*j**2 + 203*j + 4. Differentiate v(s) wrt s.\nAnswer: 2545","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1958 - 2.1958. Let i = -0.4 - -0.3. Which is the third smallest value? (a) v (b) 1\/9 (c) i (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*a - 5*h, -5*h = -10*a + 5*a + 65. Suppose -r + 1 = 2. Let d = r + a. Calculate the highest common divisor of 63 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2. Let f(h) be the first derivative of h**5\/60 + h**3 + 3. Let q(g) be the third derivative of f(g). Give q(c(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 4. Let d(k) = 21*k + 19. Let g(y) = -2*d(y) + 11*s(y). What is the remainder when 39 is divided by g(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*j**3 - 2*j**3 + 4*j + 12*j wrt j?\nAnswer: 150*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(-23)*((-10)\/(-6))\/(-5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.088 + 4.888. Let j = 0.5 + -1. Which is the closest to 1? (a) j (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 361 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-13 + 3)) + (20 - (0 + -5)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 655, 1500, 2691?\nAnswer: 4228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 + 4*a**2 - 7*a + 4. Let g(u) = 3*u**3 - 5*u**2 + 9*u - 4. Calculate -5*b(j) - 4*g(j).\nAnswer: -2*j**3 - j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, d: 13}. Give prob of sequence dudd.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27205043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 1)\/2 - 0. Let r be -3*((-2)\/3 + j). Suppose 2*b + b + 17 = 5*t, -7 = t + 2*b. Solve r*i - t = -5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-9)*i**(-27)\/i*(i\/(i*(i**20*i)\/i))\/(i\/((i**(-15)*i)\/i)) assuming i is positive.\nAnswer: i**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 536 - -695. Suppose 5*q = -v + 2391. What is the lowest common multiple of 6 and q?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18843, 18195, 16459, 13089, 7539, -737, -12285, -27651?\nAnswer: -47381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(84) - (sqrt(84) + -2*sqrt(84)*-5 + sqrt(84)))\/((sqrt(72) + -5*(sqrt(72) - sqrt(72)*1))\/sqrt(6)).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 123*q - 122*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112410706 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6413*f*r + 3644*r wrt f.\nAnswer: -6413*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(0 - 3 + 4)*(0 - 2 - 2)*(-4*c - c + 6*c) as a + d*c and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5)**(-47))**(-18) assuming s is positive.\nAnswer: s**4230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*y**2 - 637232759*h**3 - 6276*h*y**2 + 12*h*y - 714*h + 2 wrt h.\nAnswer: 12*h*y**2 - 3823396554*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2282 and 119204834?\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76189 is divided by 10882.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 5. Let t = 10 - 8. What is the remainder when t is divided by a(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23219268 is divided by 373.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 divided by 346760?\nAnswer: -57\/173380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -195.3\nAnswer: 39.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2399.3 - -2399.2986297. Round c to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*o)*((-3 + o**2 + 3)*(-o**2 + 0 + 0) + 0*o**4 + 4*o**4 + 13*o**4 + 2*o**4 - 3*o + 3*o + (-2 + 3 - 4)*(4*o**4 - 6*o**4 - o**4)).\nAnswer: -54*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**4\/6 + 2*r + 28. Let j(x) = -50*x - 2. Calculate h(j(n)).\nAnswer: -5000*n**2 - 400*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -9*h + 214, 5*t = 5*h - 43 + 69 - 116 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 0 - 1)\/(-6))\/((-114)\/(-855))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + p - 8 - 6, 4*p + 4 = 0. Let h = 383 + -381. Let n be (1\/h)\/((-32)\/1664) - 1. Sort 2, n, a.\nAnswer: n, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 9, -4, 16, -1.\nAnswer: -6, -4, -1, 3, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 = 2. Let s be 2*-1 + (3 - 6). Let b be ((0 - 0)*1)\/(-2). Put s, b, y in increasing order.\nAnswer: s, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/19)\/m**(-5))\/(m**(-2\/3))**(-34) assuming m is positive.\nAnswer: m**(-1013\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -11, 20 in decreasing order.\nAnswer: 20, 0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**2 + 36*k - 38*k - 6*k + 8*k + 0*k.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*o**2 - 26*o**2 - 48*o**2 - 69*o**2.\nAnswer: -171*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 4)*(-7*r + 1 - 1)*(-220 + 381 - 203) + (5 - 4 - 2)*(2*r - r - 3*r))*(r**3 - 4*r**3 + r**3).\nAnswer: 584*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((sqrt(189) - (sqrt(189) - sqrt(189)*1) - sqrt(189) - sqrt(189)) + sqrt(189)))\/sqrt(3))\/(sqrt(108)\/(sqrt(48)\/sqrt(4)) + sqrt(36)*4) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*b - 710317 = 38*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123643259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122825 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Solve b*f - 16 = -2*g, 0 = 2*g + 3 - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h + 6. Let d(l) be the third derivative of -l**4\/24 + l**3\/3 + 5*l**2. What is 2*b(q) - 7*d(q)?\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 580, 3950, 13076, 30838, 60116, 103790, 164740, 245846?\nAnswer: 349988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a38782 - 11?\nAnswer: 4a38771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -11.338059?\nAnswer: -3.661941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 5:14 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 2, c: 2, m: 10, p: 2, n: 2}. Give prob of sequence in.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -430839 - -430893.0051. Let r = -54 + o. What is r rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.36127 kilometers in nanometers?\nAnswer: 26361270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a5 - 1?\nAnswer: 4a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 68598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2.8, -5, -4\/7, 4\/7, 1, -0.199?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8. Suppose -3*u - 3 + 12 = l. Sort 5, u, -1 in descending order.\nAnswer: 5, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = g - 9, d - 2*g - 3 = -0*g. Let i(f) = 5*f**2 - 71*f - 9. Let w(n) = -4*n**2 + 52*n + 9. Let k(h) = -3*i(h) - 4*w(h). Calculate k(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4 - 394252*o**3 + 5913068*o**2 - 18527156*o + 13008336 = 0.\nAnswer: 1, 3, 11, 98548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4095729, 8191459, 12287179, 16382883, 20478565, 24574219, 28669839, 32765419?\nAnswer: 36860953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 0 + 0*l - 1\/24*l**4 + l**2 - 1\/3*l**3. List the prime factors of c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/3746 (b) 5 (c) -25 (d) -1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*r. Suppose 3*y = 5*b + 22, 2*y - 6*b = -r*b + 15. Suppose -a + 51 = y. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*-1 - 451764\/1644624?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3250000 rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + -1 - (-981 + 945).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 95*y**3 + 1795*y**2 + 7220*y - 780 = 0.\nAnswer: -13, -6, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3724\/12654*37)\/(12\/(-27)).\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 6*u - 3 = 0. Put -5, -8, u in ascending order.\nAnswer: -8, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + 3. Suppose 4 = 2*x - 48. Calculate the greatest common factor of r and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -119*j**2 - 35. Let n(z) = -7*z**2 - 2. What is -2*f(p) + 35*n(p)?\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 203906406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -651*z + 6. Let o be p(-7). Suppose -10837 - o = -j. Round j to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 41*m**2 - 38*m - 166. Let h be j(42). Solve -16 + 26 = -h*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = p - 3*p. Let r = p + 14. Suppose -18 = r*s - 130. What is the remainder when s is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*d**4)*(-4 - 2 + 4) + 2*d**4 + 10*d**4 + 0*d**4 - 4*d**4 - d**4 + 2*d**4.\nAnswer: 13*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7771 is divided by 177.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 - 16*q + 25. Give c(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47006*d**2 - 1243*d?\nAnswer: -94012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by -51?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a**(2\/19)*a)*a*a**(-2\/63)*a)\/(a\/((a**(-17)*a)\/a))**(5\/2))**(2\/55) assuming a is positive.\nAnswer: a**(-100876\/65835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 609846.4 millennia?\nAnswer: 6098464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 80 = -0*m. Let f be (-46)\/(-14) + m\/56. Differentiate 2 + 6 - 6 - f - o with respect to o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 623279 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*p - 126 = -43*p. Let w be (6\/p)\/((-3)\/(-81)). Sort 3, w, -1.\nAnswer: w, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 8 - 6 + 3)*(-18*o**4 + 17*o**5 + 18*o**4 + (4*o - 4*o + 2*o**3)*(-2 - o**2 + 2)).\nAnswer: -240*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -851029*-5.\nAnswer: 4255145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 1898*w**2 + 3799*w**2 - 3*w - 1900*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3618 is divided by 1762?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w - 13. Let x be u(-3). Suppose -2*b = -x*i + 22, 6 = -2*b - 0. Suppose 3*h = -4*a + 31, -2*h + 16 = -i*a + 10*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 539 + -1472. Let j = 1329 + x. Is 33 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(((u**(-1)\/u)\/u)\/u)))**(-1\/4)*(u**(2\/9)\/u)\/u**(-3)*(u**(2\/3)*u)**(-44)*u**(-2\/13)\/u*u**6\/u assuming u is positive.\nAnswer: u**(-31129\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76769 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, y: 15}. Give prob of picking 1 y and 2 o.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-310000)\/(-3))\/(19\/1710). What is z rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/5)\/((-66)\/(-4785)*29)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.1 + 16.5. Let d = n + -12. What is the second biggest value in 4, -1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*f = 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 176*o + 49 - 1218*o - 22 - 27 in the form i*o + p and give i.\nAnswer: -1042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3481 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c - 11. Let p(g) = 26*g + 32. Let q(w) = -5*p(w) - 14*t(w). List the prime factors of q(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31938780 divided by -12?\nAnswer: 2661565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 215*o**2 + 8*o + 3. Let x(c) = c - 1. Let p(l) = d(l) - 3*x(l). What is the tens digit of p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.418 and 124820089?\nAnswer: 124820094.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 - 15*i**2 - 13*i - 25. Let v be l(-6). Which is greater: v or -58?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -236153\/60 - -3936. Let g(f) be the third derivative of 9*f**2 + 0*f**4 + 0 - 4\/3*f**3 + 0*f + u*f**5. Differentiate g(n) wrt n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 8*o**2 + 1\/5*o**5 + 0 + 0*o**4 + 7*o - 1\/30*o**6 - 8\/3*o**3. Suppose l(m) = 0. Calculate m.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167.5 - -94. Let g = a - -74. Let f be (-4)\/(-10) - (-6)\/(-15). What is the biggest value in g, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61735397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 6. Let s be k(-7). Solve -7 + s = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1001010100010010?\nAnswer: 1001010100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 159*g**2 + 135*g**2 - 288*g**2. Let l(z) = -1877*z. What is b(l(w))?\nAnswer: 21138774*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/16 and 59\/1401718056.\nAnswer: 2803436112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**2 - 9*t + 10. Let y be q(-7). Suppose 4*v = y + 669. Suppose -10*x = -1761 - v. What are the prime factors of x?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 + -0.18. Let j be 10\/3*33\/165. What is the closest to j in k, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**2. Let t(h) = -134989*h. What is t(r(a))?\nAnswer: -674945*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - z + 2*z)*(1 + 0 - 3)*(8 - 2 + 5 + (-2 + 2 + 1)*(-3 + 0 + 4)).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-10 - (-9 - -1) - 8)) + 18?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14134.9968 - 14123. Let m = -2.8 - 9.2. Let w = m + q. Round w to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 7*c - 7*c - c**3. Calculate j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435547.\nAnswer: 7, 43, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 1 + t**3 - t**3 - 2*t - t**3. Suppose -7*y + 0 = -21. Suppose -u - y*a + 7*a + 21 = 0, a = -5. Determine q(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m - 5*m + 2*m)*(4 - 3 - 2) - 2*m - m + 5*m + m - 6*m - m + (1 + 0 + 0)*(m + 3*m - 2*m) - 1 + 1 - m)*(0*m**2 - m**2 + 0*m**2).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaagnaislgaaagl. What is prob of sequence ggl?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-65))\/((-740)\/(-64750))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 3009*c**3 - 22 + 14 + 3.\nAnswer: 3009*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0365 and 1.3.\nAnswer: 1.2635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 137591304 divided by -12\nAnswer: -11465942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, p: 2, c: 5, s: 1, b: 1, k: 1}. Give prob of sequence pnnk.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.53 + -0.32. Let u = 9.21 - k. Let w = u - 8.9999995. What is w rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 + 478*u - 394. Let w(y) = 2*y**2 - 447*y + 393. Let t(g) = -6*k(g) - 7*w(g). Factor t(c).\nAnswer: -(c - 129)*(2*c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - -4 - -23 - -11.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**4 - 9281268*c**3 - 74249940*c**2 - 120656092*c - 55687416 = 0.\nAnswer: -2320309, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-36\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 2710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30431586.\nAnswer: 2, 3, 5071931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6*(3638\/12)\/(-17) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 124453767.\nAnswer: 373361301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4403066 decades in years?\nAnswer: 4.403066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -331, 152, -3, 12 in decreasing order.\nAnswer: 152, 12, -3, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 6*u - 2*u)*(3*u + 2*u - 3*u) + u**2 + 0*u**2 + u**2 + 20 - 20 - u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-21672)\/(-35) + 5 - (-1)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02732 and -0.4.\nAnswer: 0.010928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2109 = 3*q - 2*p, -6*p + 1504 + 2003 = -5*q. Sort 3, 4, q.\nAnswer: q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 133654830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 490900115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 30*u + 69. Let o be p(32). Suppose 2*w = -o*l - w + 36466, -2*w - 36481 = -5*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6\/11, -3, -75.27, 4 in ascending order.\nAnswer: -75.27, -5, -3, -6\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 2) + (-185 - 1). Let f(r) = 202*r + 207*r + r**2 - 6 + 214*r - 617*r - 6*r**2. Let b(m) = 154*m**2 - 187*m + 187. What is p*f(x) - 6*b(x)?\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3709.8 rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37884468 + 7.\nAnswer: -37884461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/5, 3\/2, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-4)\/5)\/(114\/95). Is 0 - (-13738 - 2\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1049770 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1398546, 1398399, 1398258, 1398123, 1397994?\n\"Answer: 3*o**2 - 156*o + 1398699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -218*j + 54. What is l(-1)?\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7e3c7 + -5?\nAnswer: -7e3cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/(-54))\/(-3*2\/(-675)). Suppose 0 = 78*q - h*q + 12. Sort -3, q, 2, 4 in ascending order.\nAnswer: q, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82385 rounded to the nearest one thousand?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-36*(-4)\/(-18) - (-11)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a8 - 2594?\nAnswer: -22a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2118 = -20*m + 242. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -386 or -351?\nAnswer: -386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3892656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(1*sqrt(10)*-5)*-3.\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(2736).\nAnswer: 2 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*10*4*7\/112\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.426 and -5733?\nAnswer: -2442.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1738 - 95583\/55. What is the common denominator of -37\/730 and o?\nAnswer: 8030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -8*q**2 - q. Let j(k) = 8*k**2 + 2*k - 1. Let c(n) = 3*j(n) + 2*t(n). Is c(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 5*f - 3*i + 3, 2 = 4*f + 2*i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 216164870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521 + 1048*f + 514 - 1035.\nAnswer: 1048*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(63\/(-56))*(8\/(-192))\/(44\/440).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.105312147 and -386.\nAnswer: -385.894687853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(14\/175) - -6. Find the second derivative of -d*n - 101 + 70*n**3 + 33*n - n**2 - 7*n**2 + 7*n**2 wrt n.\nAnswer: 420*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 44 = -g, 4*g - g = -6. What is the remainder when 82 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000164361 to 6 decimal places.\nAnswer: 0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11535, 11525, 11501, 11463?\n\"Answer: -7*t**2 + 11*t + 11531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 19 + 65 = 0. Let c = n - 33. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 4 (c) -384571\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -57*u**2 + 7*u - 2. Let k(s) = 6*s + 7. Give k(a(x)).\nAnswer: -342*x**2 + 42*x - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(6 - 13) - (-1 - 14)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173.62 - -0.38. Let w = j - 174.1. Which is the fourth biggest value? (a) 6 (b) 2\/7 (c) w (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3991 and -1302.\nAnswer: 5196282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.69 + -0.19. Let v = -42 - -42.4. Which is the smallest value? (a) v (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/17))**(-42)*(q\/(q**(-9\/5)\/q))\/q*q**(2\/9)\/q assuming q is positive.\nAnswer: q**(-9793\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -1694 - k + 1694. Let v(x) = -x. What is -7*b(j) + 3*v(j)?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q*q\/(q\/q**(1\/6)))**(-2\/87) assuming q is positive.\nAnswer: q**(-1\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81442 bigger than 81444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 7*k**2 + 6*k + 14. Let y be h(6). Let i = -10 + y. Suppose 0 = 2*v + 3*v - i*b + 3, b - 2 = 0. Let c(p) = -3*p**3 - 1. Determine c(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 14683 + 14957 = 4*f, 0 = -5*a - 25. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*t - 3*c, -77*t + 76*t - 8 = -c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847 is divided by 66.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/65 + (138975\/(-7085))\/(2\/(-6))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 7*o. Let v be i(7). Suppose 284 = -3*b + 5*b + q, -b - 4*q + 135 = v. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -660.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 77?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 139, -3\/134?\nAnswer: -3\/134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {u: 1, e: 4, x: 1, p: 6, r: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-468*h**2 - 59*h + 10*h + 16*h + 19*h + 14*h)*(38*h**2 - 55*h**2 - 36*h**2).\nAnswer: 24804*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -591 or 9?\nAnswer: -591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 246797 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 22.08715.\nAnswer: 27.08715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 233 + -93. Suppose -2*o - u = -1100. What is the common denominator of -101\/38 and 1384\/o - (-1)\/5?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23746 - 23746.000012571. Round c to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2850449*j**2*t**3 + j**2*t**2 + 1832386*j**2 + j*t**3 wrt t?\nAnswer: -17102694*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z. Let a(t) = -2*t + 4. Let b be a(4). Let v(m) = 6*m**2 - 7*m + 7. Let r(h) = h**2 - h + 1. Let j(o) = b*v(o) + 28*r(o). Calculate c(j(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/90604 and -109\/453020?\nAnswer: 453020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*i + 168*i = -264. What is the remainder when ((-492)\/(-9))\/(11\/i) is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8906*g + 5429*g + 45201 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22\/5? (a) -2\/3 (b) -2\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/11 and (-128)\/(-4160)*50\/72.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2346*g - 11 = 2345*g, 2*a = -7*g + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 222 or 12373\/56?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*y - 500. What is the remainder when 46 is divided by (12\/(-5))\/((-30)\/y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1536)\/sqrt(12) + 4.\nAnswer: 9 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4578?\nAnswer: 2, 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 divided by 6.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o - 38. Let x(f) = -13*f + 76. Let r(m) = 11*i(m) + 6*x(m). What is the remainder when r(11) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*s**2 - 411 - 69*s**2 + 153*s**2 to the form h + j*s + t*s**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**5 - d**4*v + 2*d**2*v + 8*d*v - 2*d wrt d.\nAnswer: -40*d**3 - 12*d**2*v + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9021 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/10*(-44)\/(-539)*7. Factor -1\/5*c**5 + 16\/5*c**2 - 14\/5*c**3 - 9\/5*c + t*c**4 + 2\/5.\nAnswer: -(c - 2)*(c - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2948*t = -367*t - 288405 for t.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - -1 - 1*17. Let q be (-6)\/g + (0 - 0). Let k = 2176 - 2176. Which is the closest to k? (a) q (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391\/2 >= 695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 43*n**4\/2 - 188*n - 370. Find the first derivative of q(x) wrt x.\nAnswer: 258*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 728 and (-124)\/3038 - (-6864)\/98?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 892, 1301, 1982, 2935, 4160, 5657, 7426?\nAnswer: 9467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63835?\nAnswer: 5, 17, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 721 and 3708.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 + -52. What is the highest common divisor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41776172\/3 or 13925392?\nAnswer: 41776172\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164806?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 814 - 814. Factor -4\/7*g**2 - 2\/7*g**3 + s + 0*g.\nAnswer: -2*g**2*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -95996*o - 560 wrt o.\nAnswer: -95996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 < 1682\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 16 - 21) + (0 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 5. Let f = n + 2. What is the third biggest value in 0.5, -0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00897343619 rounded to 6 decimal places?\nAnswer: 0.008973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 380*t**2. Let k(u) = -u**2. Let j(l) = -a(l) - 114*k(l). Let i(d) = -d. Determine i(j(q)).\nAnswer: 266*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 144225205 (base 6) in base 8?\nAnswer: 13355545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 - 2546270*t**3 - 10185020*t**2 - 10185000*t.\nAnswer: -5*t*(t + 2)**2*(t + 509250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -49\/2. Sort -2\/35, -0.2, m in decreasing order.\nAnswer: m, -2\/35, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**4\/4 + w**3 + 3*w**2\/2 + 4*w - 1. What is o(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 + 35 + 46 + 20*q**3 + 12*q**3.\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - 7*f**2 + 3*f**2 - 60*f + 8*f**2 to the form x + c*f**2 + t*f and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**4 + 52*m**2 - 53*m**2 - 3*m**4 + 10*m**5 wrt m.\nAnswer: 600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11969 + 12682. What is the remainder when z is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 - -5.09. Let t = 0.0204 - -0.9796. Which is the nearest to t? (a) -4\/9 (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -130*r**2 - 28238*r**3 - 95*r + 28260*r**3 - 44*r + 2*r**4 - 11*r = 0?\nAnswer: -15, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1318346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 210 + -133. Suppose -d - 159 - 164 = 2*o, -2*o + d = 333. Let r = -153 - o. What is the highest common divisor of y and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 5*y - 2. Let f be h(5). Let s be ((-27)\/(f + 3))\/(-1). Let v be ((-2)\/6)\/((-3)\/s). Solve v*g - g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -2*i. Let z = -5 + i. What is the nearest to z in 4, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 13*m**2 + 13*m + 21. Suppose 5*p + 4*i = -35, 2*i - 15 = -i. Let d be s(p). What is the greatest common divisor of d and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y = 0. Suppose y*v - 3*v + 57 = 0. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 11:21 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5756, 23117, 52074, 92627, 144776, 208521, 283862?\n\"Answer: 5798*m**2 - 33*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from oxswsxwsoswwwosowwx.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**4\/24 - p**3\/6 + 15*p**2. Let t(y) = y + 2. Determine -3*c(a) - t(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*i + 10 = 0, -5*q - 3*i + 5*i + 4 = 0. Suppose -q*s = -n - 6*s + 6, 0 = 3*n + 3*s - 27. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/911 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**3 + 14*f + 3. Let l(k) = 6*k**3 + 15*k + 2. Give -2*a(t) + 3*l(t).\nAnswer: 4*t**3 + 17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174)\/(274224\/197)*(-16)\/(-19).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from kkmtgtett.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136287712.\nAnswer: 2, 11, 313, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 7*r**6\/10 - 48*r**5\/25 - 807*r**4\/20 + 1142*r**3\/5 - 1632*r**2\/5 + 672*r\/5 - 2978. What is t in n(t) = 0?\nAnswer: -7, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -954ec (base 16) to base 3.\nAnswer: -1011001220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - l + 6 - 2, 5*l - 5 = 0. Is -2\/233 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - 2 + 2)*(3*q - q + 0*q) - q**3 - q + q + (1 + q**3 - 1)*(-5 + 3 + 0) + 3*q**3 + 3*q**3 - 5*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (7 - (4 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64339 is divided by 20983.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiisisiisissssisis. Give prob of picking 2 s.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/((m**(-15)*m)\/m)))**(-10)\/(m**(-14)*m*m*m\/(m*(m*(m**16*m)\/m)\/m)*m))**(-20\/9) assuming m is positive.\nAnswer: m**(-1180\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 630*w - 3127. Calculate s(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3227*d - 8116. Let f(w) = 3215*w - 8125. Let y(x) = 6*f(x) - 7*p(x). Find the first derivative of y(i) wrt i.\nAnswer: -3299","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7257963 to the power of 1\/2, to the nearest integer?\nAnswer: 2694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - (-21)\/(-9))*381.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:23 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030512309 to 5 dps.\nAnswer: 0.00305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54244 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3375?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etf when three letters picked without replacement from {f: 5, t: 2, e: 10, b: 3}?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(128)*-1 + 1 - -5*(-1*sqrt(128) - sqrt(128) - sqrt(128))*-6)**2.\nAnswer: -2848*sqrt(2) + 1013892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1265*g + 644*g = -639*g + 36 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**3 - 3*n**2 - 4*n - 4. Let l(r) = 4*r**3 - 2*r**2 - 3*r - 4. Let o(i) = -4*l(i) + 3*y(i). What is o(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19ccb (base 16) in base 13?\nAnswer: 3913b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (39904\/(-1720))\/(60\/200*4\/(-6))\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 29. Let z(k) = -k**3 + 20*k**2 - 15*k - 66. Let s be z(19). Let w be u(s). What is the greatest common divisor of w and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 2:13 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q. Let m(f) = -f**3 + 5*f. Let z = 15 - 11. Suppose 0 = -r - z*r + 10. Suppose r - 6 = -4*h. Determine h*m(d) + 5*t(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24488 and 61220.\nAnswer: 122440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-134)\/(-9) - (-5)\/(-3 - -48). Suppose x + q = r, 3*x - 95 = -8*r + 4*r. Solve r = -2*f - 8*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)*-2 + sqrt(196) - sqrt(196))\/sqrt(4))\/sqrt(7) - (1*sqrt(175) + 4).\nAnswer: -7*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.47 - -2.53. What is the closest to -0.2 in -3\/8, j, -2\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-231)\/49 - -3)\/((-2)\/7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/9)\/q)\/q)\/(q**(-8\/3)\/q))**25 assuming q is positive.\nAnswer: q**(350\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1467 and 75779?\nAnswer: -111167793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.657596 litres to millilitres.\nAnswer: 3657.596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 3:24 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73220209*l**2 + l + 5784368 wrt l.\nAnswer: -146440418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -f6453?\nAnswer: -f6456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 6*a**2 - 4. Let u be n(6). Let c = u - -4. Let x be 4\/6*213\/142. Solve f + 2 - x = c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -427, -318, -209, -100, 9, 118?\n\"Answer: 109*o - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 5, y: 1, u: 11}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12 - 2)*-2*(10 - (-324)\/(-32)). Which is the closest to -1? (a) 0.2 (b) -61 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 151, 0, -1 in ascending order.\nAnswer: -3, -1, 0, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-24) + -1 + (-2563)\/44 + 59. Factor -1\/6*n**2 - 1\/3*n + w*n**3 + 0.\nAnswer: n*(n - 2)*(n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6*n + 15*n**3 - 2 - 14*n**3 in the form q + s*n + a*n**3 + b*n**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -276 + 444. Let w be (12\/(-14))\/((-4)\/x). What is the highest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 4:59 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4\/3 + 16*v**3 - 92*v**2\/3 = 0.\nAnswer: 0, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84953 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l = 17793 - 17985 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 51\/4 of a meter?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - z**2 + z. Let r(i) = i**3 - i**2 + i. Let m(h) = 6*h**3 - 4*h**2 + 3*h. Let c(w) = -m(w) + 4*r(w). Give 3*c(t) - 2*o(t).\nAnswer: -2*t**3 + 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 7 = -2*r, 0 = -5*r - 11 - 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 1:15 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1185 - -2369. Let n be i\/(-304) + (5 - 1). Let f = -1.94 - -1.84. Which is the second biggest value? (a) 0 (b) n (c) f (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 313.9497s?\nAnswer: 313949700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 10*s**2 + 5*s. Let g be u(-9). What are the prime factors of (9 + 3)*g\/(-24)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 10:43 AM?\nAnswer: 412","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -15. Solve 5*f = l - 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 79 = 2*o, 4*o - 5*b = -4*b - 155. Suppose 2*z - 6 = 0, 9*l = 7*l + 2*z + 82. Let r = o + l. Solve -2*p + 5*p - r = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 5*u + 5. Let g be s(6). Let y = 2 - g. Let k be (-38)\/(-12) - 6\/2. Put k, -1\/7, y in descending order.\nAnswer: y, k, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2250.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 0*g**2 + 2*g**2 - g**2. Suppose 3*q + 8 = 5*c, 4*c + 2*q - 40 = -16. Let j(h) = h**2 - 3*h**2 + c*h**2. Calculate j(l(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-3\/10)*g)\/(g*g**3)*g\/(g\/g**(-4))*g*g**4*(g**(1\/2))**(-15)\/(g*g\/g**(-1\/2)*g)**(5\/4) assuming g is positive.\nAnswer: g**(-487\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {h: 1, e: 2, m: 1, w: 1, x: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmb when three letters picked without replacement from {m: 3, b: 4, k: 6, y: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 490 = y, 2198 = 5*y + 5*t - 312. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170109, -686613, -1547461, -2752659, -4302213, -6196129, -8434413, -11017071?\nAnswer: -13944109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -46 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 4*i**2 + i - 3. Let g(n) = -2*n + 27. Let v(b) = b - 14. Let j(a) = -2*g(a) - 5*v(a). Let k = -3 + 16. Let q be j(k). Give s(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or -9205.14?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -170 + 386. Calculate the lowest common multiple of o and 22.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 28*h - 113 + 16, k - 47 = -11*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40.99708 + -41. Round y to four dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from {s: 1, n: 1, z: 1, h: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -3*p**4\/8 + 7*p**2. Let a(s) = -3*s**2. Give g(a(m)).\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-6) + (-1)\/3. Let g be (s\/(1*-2))\/2. Suppose -3*v + 4*m + 5 = 0, m - 3*m = -3*v + 7. Is g less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = 172 - 42 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i + 3*i - 72. Suppose i*n = -2*n - 2*n. Let j = -0.1 - 0.9. What is the biggest value in n, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from caavopvvaafaavavocff.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76*d + 16*d**3 - 76*d + (0*d + 0*d - d)*(-d**2 - d**2 + 3*d**2).\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (32\/(-4))\/(36\/(-72)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201010212 - 111210?\nAnswer: 200122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 1953 and 0.08.\nAnswer: 1953.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 plus -10629204?\nAnswer: -10629121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0792, 463, -7, 9 in descending order.\nAnswer: 463, 9, 0.0792, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - v + 2, 40*h + 2 = 38*h - 2*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from bbdbkdb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*s - 16. Solve 0 = -5*d - 5*m - 25, -6*d + d - 11 = -s*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-28)*(210\/(-48))\/((-70)\/(-56)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 13. Calculate t(-11).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53868 and 2?\nAnswer: 53868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 7:51 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-1)\/(-18)*3. Suppose 0 = -n + 2, 4*j - 6*j - n - 10 = 0. Let m be 6\/28 + 3\/j. What is the closest to m in z, 1\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = 4*q + 91 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q + 0*q = 3264. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -j + 43 + 36, 0 = 5*j + 25. What is the highest common divisor of 28 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2292 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 9 = -26. Suppose c = 4, -y = d*c - 14 - 24. What is the highest common factor of y and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/1144*2*4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 776643.6 years?\nAnswer: 77664.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-340)\/(-816)*56\/(-105).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063289 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 7 = o + 11*v, -2*o = v + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*m, 9297 = 5*b - 5*m + 3062. Let u = 2033 - b. Suppose -294 = -h - h + 4*s, -5*h + u = 3*s. Is 21 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2117*s - 28. Let v be w(12). Suppose -28*u = 4*u - v. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252773155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = n - 22, 0 = 233*n - 235*n - 4*q + 46 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 13*p**2 - 24*p - 5. Calculate the least common multiple of 16 and v(3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q**2 + 357*q - 556. Let y be j(43). What is the fourth biggest value in -2, 3\/8, -116, y?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1265*u + 1872*u**3 - 1265*u.\nAnswer: 1872*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 6*h + 7744. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 5*s**3\/3 + 5*s**2\/2 + 20*s + 97. Differentiate m(o) wrt o.\nAnswer: 10*o + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57040.\nAnswer: 2, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543*f - 288 = 540*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 46. Let l(q) = q**2 + 5*q - 7. Suppose 14 = -2*w - 2*t, 3*w - w - 3*t = -14. Let c be l(w). Solve -4*v + c = -y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o - o - 20*o - 51 + 16*o + 58. Suppose 0 = s + 5. Give b(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 7, y: 3, h: 4, u: 2}. Give prob of picking 2 y.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftee when four letters picked without replacement from {f: 7, e: 2, t: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -84952 in -3\/16, 3\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 268*r - 299*r - 3 + (143 + 171 - 202)*(3*r - r + 0*r) as n*r + o and give n.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135123470 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, -0.4, -3, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-20) - (-17)\/5. Suppose -2*l + 12 = 4*x, -l + r*x = -2*l + 16. Sort -3, l, 1 in increasing order.\nAnswer: l, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6636 and -155\/126?\nAnswer: 19908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 0 - 47\/160*q**5 + 0*q + 7\/16*q**3 + 154*q**2 - 21\/320*q**6 - 15\/64*q**4 + 1\/140*q**7. Find w, given that i(w) = 0.\nAnswer: -1, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00793792 to four decimal places.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/10220 and 43\/292?\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 36763\/8687?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 345 or 761959?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/58 + 44*(-5)\/1015?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*o + 2 = 0, -23*c + 21*c - 5*o = -4. Let b = 9\/4 + -3\/2. Which is smaller: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035053191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 833594128 divided by 4?\nAnswer: 208398532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325 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: Suppose -2*r - h = r + 9, 0 = -4*r + 3*h - 12. Let f(o) = 7*o + 30. Let n(j) = j - 5. Let u be n(0). Let g be f(u). Put r, g, 0 in descending order.\nAnswer: 0, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1548599 divided by -119123\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - 3 - -36) + -2 + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -h - 4*h + 4*h + (h + h - 3*h)*(-4 + 1 + 5) + h + 3*h - 3*h + (-h + 5*h - h)*(-20 + 22 - 43) + (0*h + 2*h - 3*h)*(-4 + 3 - 3) as d*h + i and give d.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f + 3162 = 3138. What is the nearest to 2\/5 in -16, -4, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -158*t - 58. Determine f(2).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6084123, -12168236, -18252335, -24336414, -30420467, -36504488, -42588471, -48672410?\n\"Answer: o**3 + o**2 - 6084123*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -0.025927\nAnswer: -0.0155562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9225 - 6891.0775. Let s = i + 6891.9995023. What is s rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5\/5 - 11*a**4\/5 - 4*a**3\/5 + 48*a**2\/5 - 32*a\/5 - 16\/5 = 0. What is a?\nAnswer: -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7*-8*154\/(-220)*-5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let k(c) = 5*c - c - y*c. Let w(n) = 4*n - 4*n - 3*n. Give w(k(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -14.5. Let f = -2.8 - 1.2. Let z = f + u. Put -1\/3, z, 1\/5 in decreasing order.\nAnswer: 1\/5, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 177751, 355464, 533177, 710890?\n\"Answer: 177713*n + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5519*w - 1876*w**5 + 5519*w)*(5 - 2 - 1).\nAnswer: -3752*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, u: 10, e: 2, b: 1}. Give prob of picking 2 u.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 113*j + 565. Calculate s(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 1, x: 4, r: 1, i: 3, g: 6}. What is prob of picking 1 r and 1 x?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -448 + 257 + 120*j + 269 with respect to j.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47742 times 5\nAnswer: 238710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 1:06 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 1. Let d be i + 2 + 2 + 1. Suppose 2*u = 4*u + 2, -d*n + 268 = 5*u. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 - 4 = -21*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 78, 0.17, -7.\nAnswer: -7, 0.17, 1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 463 + -83. Suppose -12*p = -7*p - c. Suppose -p = -0*q - 2*q - m, 5*q = -2*m + 188. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/21)\/d)\/(d\/(d**(-25)*d)) assuming d is positive.\nAnswer: d**(-547\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6229578*g**2 + 293*g + 9539 wrt g?\nAnswer: -12459156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - r**2 + 0*r**2)*((1 - 3 + 3)*(0 + 2 - 4) + 5 - 1 - 5).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28, 116, 358, 698, 1136?\n\"Answer: 49*d**2 - 3*d - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-91)\/14)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 104 - (-1 + 1). Let g be a\/(-32) - (-1)\/4. Let x = -0.7 - -3.7. Sort g, -1\/11, x in decreasing order.\nAnswer: x, -1\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 + 95. Let h(y) = 6*y - 2048 - y + 2043. Let b(i) = -10*i + 11. Calculate p*h(s) + 6*b(s).\nAnswer: 5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 473178\/24 - 51\/(-204)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 2*s + s - 4*w, 322 = 5*s - 3*w. Suppose -4*o - 5*g = -110, g - s = -2*o + 2*g. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 13, -38, -2 in decreasing order.\nAnswer: 21, 13, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31886, 31940, 31998, 32060, 32126?\n\"Answer: 2*x**2 + 48*x + 31836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6203809897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 155 + -265. Suppose 0 = 4*c - 862 + 50. Let r = z + c. Calculate the remainder when r is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.582 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 16 = -5*c - 2*b, 5*c = -3*b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -424, -355, -238, -73, 140, 401?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -1 + 1)\/1. Let y = -375 - -395. What is the least common multiple of y and (-35)\/(-2) + f\/(-2)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 9 = -45. Let x be ((-63)\/u)\/(18\/24). Are -13 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 18 - 1 - 4*g + 4*g.\nAnswer: -g**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -439*d. Let m(t) = 9392*t**2. Give m(s(w)).\nAnswer: 1810035632*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23101 - 16271. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -4. Let v = 5 - 3. Suppose v*d = w - 4. Solve 3*k + 0 + 1 = -o, -5*k - 30 = -d*o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1764 = 2*m - 6*m, -4*c + 4*m = 1780. Which is bigger: -441 or c?\nAnswer: -441","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 w, and 1 b when four letters picked without replacement from qjqbrwrwh?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 12:49 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-4) - 73799854\/36. Let j = 103024179007\/50256 + s. Let r = j - 4\/349. What is the common denominator of 61\/4 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -191*p + 422. Let k be s(2). Solve 0 = -2*y + k*y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*z + 7, z + 4*t - 1 + 8 = 0. Let j = -4.9843 + 0.0743. Let u = j + -0.09. Sort -0.1, z, u in increasing order.\nAnswer: u, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbmmbmbmbmbmbbbbb. Give prob of sequence bm.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 403\/1580 + -2\/395. Factor 1\/4*c**3 - 1\/4*c**2 + 1\/4 - i*c.\nAnswer: (c - 1)**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (646\/10)\/((-83)\/(-2075)) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2. Let z = 11 - 10. Suppose -2*o + 4 - 2 = 0. Let x(w) = -o + z - w. What is x(g(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12817, 20607, 28433, 36301, 44217, 52187, 60217, 68313?\n\"Answer: h**3 + 12*h**2 + 7747*h + 5057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 11235\/548?\nAnswer: 11235\/548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**3 + 861512*n**2 + 18951812*n + 104232304 = 0.\nAnswer: -215356, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73869 = -3285*w - 32558 + 18680 - 96213 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5832*s**2 + 5851*s**2 + 5851*s**2 - 23389*s**2 + 5845*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*g**2 + 13*g**2 - 38*g**2 + (-4*g + 6*g - 3*g)*(-3*g + 5*g + 2*g).\nAnswer: -41*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16787712, -33575421, -50363128, -67150833?\n\"Answer: i**2 - 16787712*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l**3 - 5*l**2 - 3*l - 5. Let f(w) = -2*w - 1 + 13*w**3 - 32*w**3 - 3*w**2 - 2 + 23*w**3. What is 6*c(a) - 10*f(a)?\nAnswer: 2*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-748)\/51*1\/(48\/81))\/(3\/8).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*(0 + sqrt(2448)) - 1*(-1 + sqrt(2448))))**2.\nAnswer: -72*sqrt(17) + 22033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/45 + 165\/27 + -7.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = x, 0 = -2*h - x + 5 + 12. Suppose -20 = -h*d + 9*d. Let l be (d\/(-3) + (4 - 1))*21. Is -6 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000124567 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7583701673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 3*j, -5*n - 13*j - 12*j + 42*j - 10 = 16*j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 8 + 15 + -38 + 11 + -7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/63)\/(2\/7))\/(-12)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31 - 384.\nAnswer: -384.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/4 + 745*b**4\/4 + 741*b**3\/2 - 745*b**2 - 1486*b = 0 for b.\nAnswer: -743, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (52\/(-5))\/((-8)\/(-40)*2). Let g be ((-6)\/(-15))\/(2\/520). What is the highest common factor of q and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*m = w - 15, 0 = m - 1. Let s = 809 + -809. Suppose -j = -w*u - 11, -3*j + s*j + 11 = -u. Solve -3*g + j*c = 6 + 9, 0 = -g + 3*c - 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 5*b - 3. Let h(t) = -7*t. Let o be h(-3). Let u = -15 + o. Does 3 divide a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 32 = 3*g + 199, 0 = 5*g. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {a: 3, z: 1, x: 3, k: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - 19*k**2 - 7*k - 24. Let f be j(10). Let z(q) = 2*q**3 + 6*q**2 - 19*q + 1. Is z(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-5 + sqrt(432) + -2 + sqrt(432))**2 - (sqrt(432) + 0)*2).\nAnswer: -360*sqrt(3) + 1772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2 + 125*q + 313. Calculate a(19).\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 635.7 + -635.706952. What is v rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7766.508 litres in millilitres?\nAnswer: 7766508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -21. Is b*3\/(-6)*36 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96634260.\nAnswer: 2, 3, 5, 536857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88701150 and 30?\nAnswer: 88701150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 17*q. Let r(u) = -43*u. Calculate r(k(z)).\nAnswer: -731*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 3*c**2 + 10*c + 2. Let v be d(-5). Let s be v*((-15)\/(-21))\/5. Suppose s*f + 2\/7*f**2 - 4\/7 = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 5*f**2 - 3*f + 1 + 1 + (0 + 0 + 2*f)*(0 - 2*f + 0).\nAnswer: -9*f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2. Let o(k) = -96*k**2 + 10*k + 5. Let w(h) = -3886*h**2 + 406*h + 203. Let x(u) = -406*o(u) + 10*w(u). Determine s(x(a)).\nAnswer: 53824*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 60*z + 7. Let w be n(-30). Suppose 9*c + 274 = 49. Let t = c + 27. Solve -1 + w = t*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 888?\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 5*z - 2. Let o be g(7). Suppose 0*s + 4*n = -s + 100, 3*n + 6 = 0. What is the greatest common factor of o and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((294\/(-84))\/((-21)\/(-12)))\/(2\/(-392)*-7)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 52*t - 53*t = -4, -t = 2*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 136 + 22*x - 2\/3*x**3 + 10*x**2. Factor z(u).\nAnswer: -2*(u - 11)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*w)*(2*w**3 + w**3 - w**3) + 0*w + 0*w - 3*w**4.\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(((-12)\/8)\/(-3)) - (-975)\/69?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfn when three letters picked without replacement from {f: 2, n: 2, c: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -18.893186.\nAnswer: -9.446593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3433.5 * 5.\nAnswer: 17167.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132679.\nAnswer: 132679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = 14*t + 5*i + 4290, -4*i = -3*t + 4287. Calculate the smallest common multiple of t and 3.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-3))\/((-6)\/(-153)). Let w = x + -29. Suppose -25 = w*u, -2*j + u = -j - 129. Calculate the remainder when j is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 786040 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*x = 6255 - 687 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11784*f**2 + 10*f - 1238725 wrt f?\nAnswer: 23568*f + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 - 4*y**2 + 4*y + 48*y - 52*y.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0367 * 0.1841.\nAnswer: 0.00675647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 4*u - 3*u)*(3*u - 3*u - 4*u) + (-42 + u + 41 + 5*u)*(2*u - 1 + 1) as i + r*u + q*u**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120.1257 - 0.8743. What is the second biggest value in 5, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6612907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.1 + 3.7. Let a = 6.4 + i. What is the closest to a in 0, -0.1, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-18) - -5) + (-32)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 40300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 7. Let z be b(5). Let x = 1 + 0. Let s be z\/x + (-1 - -49999). What is s rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -5) + 1 + 2 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -672 - -4706\/7. Which is the nearest to -1? (a) p (b) 0.2 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3788.58 + -3754. Let q = -35 + t. Let o = 1.63 + q. What is o rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**4\/18 + 1414*j**3\/27 - 1417*j**2\/9 + 1418*j\/9 - 4301. Solve s(g) = 0 for g.\nAnswer: -709, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 526 and -0.1562270387.\nAnswer: 525.8437729613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 1) + ((20 - -2) + -17 - -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 0 + 2*c**3 + 5 - c**4 - 2 as b*c**4 + v*c + r + p*c**2 + s*c**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6257\/27 - 2354771\/1485. Let n = q - -1354. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6140 - 6141. Which is the third biggest value? (a) 3 (b) j (c) 3\/4 (d) 1\/5 (e) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254 + 252. What is the nearest to -0.2 in z, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7195 - -6488. Is 146 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**5 + 188510*r**4 - 1776800745*r**3 - 9803000*r**2 + 92411749220*r - 170572896480 = 0. What is r?\nAnswer: -8, 2, 6, 18851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 47\/4 of a hour?\nAnswer: 42300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {e: 1, w: 1, p: 1, k: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((-6)\/1 - -5). Suppose -5*h = -a - 8 + 3, 2*a - 2*h - 6 = w. Let m(v) = v + 1. Let i(d) = -d**2 + 7*d - 3. Let z(q) = i(q) - 2*m(q). What is z(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8 + -3. Let t(r) = 135*r + 138. Let w be t(-1). What is the third biggest value in h, -0.4, w, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 7. Let d be m(5). Let t(l) = -16*l + 0 + 4 - 5*l**2 + d + 4*l**2. What are the prime factors of t(-7)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0)**2 + 5 - sqrt(136)\/sqrt(8)*4.\nAnswer: -4*sqrt(17) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/7692 and 133\/96.\nAnswer: 61536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.36 - 229.36. Let h = 510.5 + -705.4. Let g = f - h. Round g to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**5\/60 + r**4\/12 - r**3 - 3*r**2. Let a be m(-5). What is the greatest common factor of 6 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (20 - (2 - 1)) + 2 is divided by ((-32)\/10)\/(2\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxrxxixixxxxrxxixxxx. What is prob of picking 2 r and 1 i?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 + 16 = 2*b, -k = -1. Suppose -4*x + 4*c + 0 = -b, -3*x - 4*c + 10 = 0. Let y be -1 + 6 - x\/2. Let i(n) = -n**2 + 5*n. What is i(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 16 = 11*t. Solve 0*j + 2*j = -t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 91, 64, 35, -2, -53, -124, -221?\n\"Answer: -m**3 + 5*m**2 - 35*m + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17\/11 - -123\/44. What is the closest to -0.1 in v, -0.06, -0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -459*s. What are the prime factors of w(-1)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3\/5 - 421*w**2\/5 + 14522*w\/5 - 14104\/5 = 0. What is w?\nAnswer: 1, 172\/3, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**3 + 28*w**2 - 4*w - 7. What is the remainder when u(-9) is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f - 20512 = -523922 - 259250. Is 90 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2782 - 22201\/8. What is the common denominator of -5\/24 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooioioiooo. What is prob of sequence oo?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 + -82. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3112627 is divided by 1329?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) -2 (c) -0.4 (d) -1\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*l + 16, -l = 5*u - 141. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743.09ml in litres?\nAnswer: 2.74309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -88, -169, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/79?\nAnswer: -9\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316778 divided by -14.\nAnswer: 22627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(15)*3)\/sqrt(3))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + -1 + sqrt(171) + -2 + (-2*sqrt(608) + sqrt(608))\/sqrt(2).\nAnswer: -3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2432, 6.5, -4.5, 2 in decreasing order.\nAnswer: 6.5, 2, 1\/2432, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2729003\/148 + -18438. Let l = 3\/74 + t. Solve -5\/2*x**3 + l*x**4 + 5\/2*x + 0*x**2 - 5\/4 = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3685.\nAnswer: 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 3*z + 3. Let s(m) = -2*m**2 - 4*m + 4. Let k(a) = -4*i(a) + 3*s(a). Let w(n) be the first derivative of n**3 - 14. Give k(w(r)).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4\/7 + 367*f**3 + 1102*f**2 + 5144*f\/7 = 0. What is f?\nAnswer: -2, -1, 0, 2572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202202 - -3220?\nAnswer: 212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296538 is divided by 476?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 2*n + 1. Let h be d(-1). Let q be 11 - (3 + -2 - h). Let z = 57 - 44. Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 7*m**2 + 2. Let d be r(-7). What is the units digit of (-46)\/(-5) - d\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -28*l - 131 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -33. Suppose 40 = 3*h + 2*c, -3*h + 3*c + f = -13. Solve -4*b + b = -h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - k - 39. Calculate u(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4436 + 41?\nAnswer: 4510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*2\/(-4)*1. Suppose c = -0*b - 3*b + 9. Suppose -4 + 10 = 2*t, -2*g = -t - 3. What is the highest common factor of g and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -3, -5 in decreasing order.\nAnswer: 4, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -t - 8*t. Let w be t\/(-28) - 47\/(-21). Factor 4\/3 + 1\/3*l**2 - w*l + l**3.\nAnswer: (l - 1)*(l + 2)*(3*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*p = -308*p + 137*p + 120 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -8. What is the smallest value in 2\/5, -2, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*w**3 + 40*w**3 + 260*w**3 + (2*w**2 - 3*w**2 - w**2)*(3*w + w - 3*w).\nAnswer: 344*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8693617 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 3\/1)*-199. Suppose -3*h - 1086 - l = 0. Let w be 4\/(-14) + h\/(-14). Calculate the highest common factor of 36 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 6:22 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/30)\/(d\/(d*d\/(d**(-15)*d))))\/(d*d\/d**(-1\/24))**(-40\/7) assuming d is positive.\nAnswer: d**(267\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1244.27 + -11.27. Let w = -1233.923 + h. Round w to 2 dps.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2684521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000 + -11010001?\nAnswer: -10010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m**2 + 15*m + 7. Let c(z) = -4*z**2 + 7*z + 3. Give -7*c(f) + 3*g(f).\nAnswer: f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2. Let b be ((1 - 1) + 27\/222)\/6. Let a = 275\/1036 + b. Does a = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.2 - -48. Let r = -77 + k. Let j = 0 - 0.1. Which is the nearest to j? (a) r (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/12)\/((-34)\/(-6)). Let k = -102.41 - -102. Let x = 3.41 + k. What is the closest to 1 in x, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 254*f**5 + 154456*f**4 - 295034*f**3 + 125684*f**2 + 14640*f = 0?\nAnswer: -610, -12\/127, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11500465 (base 7) to base 12\nAnswer: -41553a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -0.03?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Does 12 divide (c\/(-3) + -1)*-12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v + 3. Suppose 5*o = -3*s + 11, -6 = -2*s - 6*o + 2*o. Let g(i) = -9*i + s*i + 6*i - 3 + 6. Give -3*g(b) + 2*t(b).\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 25 = -0. Suppose -5*r + 10 = -z. Suppose 0*m = 4*m - r*f - 201, -4*m + 200 = -4*f. What is the remainder when m is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**4 + 9*f**2 - 8*f**4 - 4*f**3 - 11*f**2.\nAnswer: -2*f**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n. Let a be (-1 + n)\/(1\/36). Let g be (a\/(-27))\/(1\/3). Solve -2*u - 2*s + 5 = -s, -g*s - 20 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**3 + 14*y**3 + 8*y**3.\nAnswer: 37*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 + -5.2. Let d = -28.3 - -28. What is the second biggest value in d, s, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**0*s\/s**5)\/(s*s\/(((s*s**(2\/5)*s)\/s)\/s*s))**(-9\/5) assuming s is positive.\nAnswer: s**(-23\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 15. Suppose c = -2*w - 2*o, 0 = 2*w - 5*o + 2*o. Suppose -y + 3 = 0, w*d + 31 = 2*d + 3*y. What is the remainder when 19 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -74695622?\nAnswer: -74695619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 9 = a, -2*a = -0*a - 5*z - 14. Suppose 15*i - 11*i = 128. What is the remainder when i is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = n + 4*n, 4*n - 2*g = 14. Let s(b) = -4*b + 116. Let l be s(28). Sort -5, l, n in increasing order.\nAnswer: -5, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**5*q**2 - 3*k**5 - 2*k**2*q**2 + k*q**2 - 80*q**2 wrt k?\nAnswer: -180*k**2*q**2 - 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(4*x - 3*x - 3*x) - 6 + 6 + 5*x + 60*x + 79*x + 33 - 131*x.\nAnswer: 11*x + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/18 + 64020\/270. Let z = -177 + u. What is the smallest common multiple of 12 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4 = 3*a, 3*j + 2*a = 35 - 25 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l + 1. What is the units digit of i(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - p**2 - p + 2. Let n be w(1). Let q(c) = 38*c + 2. Calculate the remainder when q(n) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 35 = -5*j, 605*j + 5*x + 58 = 602*j. Which is smaller: -106\/9 or j?\nAnswer: -106\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**6\/15 + 2*p**5\/25 + 3*p**4\/10 - 2*p**3\/3 + 2*p**2\/5 - 27. Determine c so that s(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312\/8*((-2)\/6)\/(1\/(-1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -224, -209, -194, -179?\n\"Answer: 15*t - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.5, 8, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -638 = -8*r + 19*r. Let k = 1218 + r. What is k rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1026, 1\/2, 0.7, -0.049?\nAnswer: 1026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(75\/(-36)) - -696*(-31)\/1984) + -1.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -278*q**5\/5 + 71*q**2\/2 - 2*q - 647. Find the second derivative of c(u) wrt u.\nAnswer: -3336*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 365*n + 351*n - 5*n + 266*n + 294*n to k*n + p and give k.\nAnswer: 1271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 7*m**2 + 5*m + 6. Let u = -1 - -8. Let b(f) = -5*f + 8. Let d(i) = -9*i + 16. Let q(c) = -5*b(c) + 3*d(c). Let y be q(u). Give g(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/(15\/(-40)). Suppose 0 = -a*c + 3*c + 3*g - 8, c + 2 = g. Let 3*q - q - q**2 + c - 2*q = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/((1056\/2464)\/((-2)\/7*-1))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aagq when four letters picked without replacement from gzooozggqaaoq?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2385983*u**3 + 2869384 wrt u?\nAnswer: 7157949*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*a + 7*a. Let m(y) be the first derivative of 11*y**3\/3 + 4*y**2 - 8*y - 38. Is m(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) 2 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/((144\/(-64))\/(45\/(-3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/591352 and 89\/66642.\nAnswer: 51447624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o - 4. Let p = 40 + -34. Let i(z) = 1. Let h(f) = f + 5. Let y be h(-4). Give p*i(d) + y*t(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 265.7 + 1315872.\nAnswer: 1316137.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 328563 - 335814.06. Let k = x + 7251.0262711. Let g = k - -0.0337. Round g to 6 decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 - 5 + 6*i**2 + 3*i - i**3 + 4. Let p(k) = -k**3 + 6*k**2 - 5*k + 3. Let m be p(5). What is the units digit of q(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*g**2 - g - 27*g**2 + 3*g.\nAnswer: 2*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 139*u**3 + 168*u**3 - 257*u**3 + (2 - 5 + 4)*(-u**3 - 2*u**3 + u**3).\nAnswer: 48*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6606 = -5*g, 0 = 3*g + 9*l - 8*l - 3962. Suppose -31*x - g + 113 = 0. What is the second biggest value in -2, x, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqyyqqyyqqqyyyyqyq. Give prob of picking 2 y and 1 q.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*c. Which is smaller: c or 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5141740 or -25708707\/5?\nAnswer: -25708707\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(76) + (sqrt(76) - (sqrt(76) + (sqrt(76) - (sqrt(76)*-2 + sqrt(76)))))*3)\/(sqrt(4) + sqrt(32)\/sqrt(2) + sqrt(16)) + -5*5*sqrt(304)*6)**2*-1.\nAnswer: -41176914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 67, 0, -5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 19 - 15 = -5*c, 4*k = 4*c - 24 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.5500583 + -13.55. What is c rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7016 + -2?\nAnswer: 7014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 6*t**2 + 8. Suppose 323*f - 331*f + 48 = 0. What is u(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4 - 17237*y**3 + 82996278*y**2 - 72769976892*y - 72852990408 = 0. Calculate y.\nAnswer: -1, 1122, 8058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29586 and 2622?\nAnswer: 12929082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 162781 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - -3) + (0 - 0). Let d = -3 + n. What is the third derivative of 3*p**4 - d*p**4 + p**2 + 2*p**5 wrt p?\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5105 (base 10) in base 9?\nAnswer: -7002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 12:21 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1813153.\nAnswer: 373, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 12 - 4*j + 53.\nAnswer: -4*j + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*t + 42 = -7*n, 18 = -2*n + 3*t. Let a = -9 - n. Solve -a*q = -3*d - 2*q - 1, 5*d - 25 = -5*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590980.3 litres in millilitres?\nAnswer: 590980300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 2*u**3\/3 - 1. Let r(b) = 5*b**2 + 3*b. Let l(n) = -9*n**2 - 5*n. Let s(g) = -3*l(g) - 5*r(g). What is s(d(o))?\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2 + j**2 - 280935*j**3 + 127*j**4 + 8644*j + 280941*j**3 wrt j?\nAnswer: 1524*j**2 + 36*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -30*i**2 + 1158*i - 9823. What is q(26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(304))**2 + (sqrt(19) - sqrt(133)\/sqrt(63))*-4 + 1.\nAnswer: -8*sqrt(19)\/3 + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2284 - 4620 - 3*a + 2370. What is d(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -513 + 273. Let i = l - -130. Let f = -111.44 - i. What is f rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0 = 15. Let f be (v\/(-2))\/(1\/2). Solve 4*p = -2*y + 4 + 8, -p = -f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 24369670?\nAnswer: 365545050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 12. Suppose 0 = 3*b - k + 22, 2*b + b + k + 26 = 0. Calculate the least common multiple of g(b) and (-6)\/(-18) + 5\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 28*w + 145 = 0. Suppose 6 = -u + p, -w = u - 5*p - 7. Let h be 1 + (-2)\/u - (-11)\/33. Are h and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 80*k**3 - k**2 + 2*k - 2. What is the tens digit of s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 1. Let r be f(2). Let g(b) = b - 2. Let c be g(r). Solve -t = -c*t + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6057198 is divided by 784.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-22)\/((-4)\/2))\/1. Suppose 0 = -b*a + a + 50. Suppose -a*f + 0*f - 3*g = -179, 2*f + 4*g = 80. What is the greatest common divisor of f and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvfvvvvvvvvvfffv. What is prob of picking 1 f and 1 v?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 195*n**2 - 60*n - 1. What is the hundreds digit of o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76983?\nAnswer: 3, 67, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 1, k: 4, m: 6, t: 4}. Give prob of sequence lmm.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rjjjjrjjjrj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.997 + -0.003. What is the smallest value in -12, 0.5, 4, m?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66001879 to the power of 1\/3, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + 1 + 1)**2 + -1*sqrt(304)*-1 - (-4 + (3 + (sqrt(304) - (3 + sqrt(304))))**2))*4*-6.\nAnswer: -7488 - 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o + 13*o + 13 - o**2 + 2*o**2 - 1. What is the tens digit of q(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(143)*-2)\/(sqrt(88)\/sqrt(128)) + (-1 + sqrt(52)\/((sqrt(24)\/sqrt(2))\/sqrt(3)))**2 + -5 + 0.\nAnswer: 9 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10652433?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)*a**1)**(-6\/5)\/((a**1)**(-2\/71)*(a*a**(-4))\/(a*a\/a**(-5))) assuming a is positive.\nAnswer: a**(3418\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 62 = 3*g + 34, -2*a = -g + 38. Let r = -25 - a. Let m(q) = -2*q**3 - 6*q**2 + q + 5. Calculate the remainder when m(r) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(30\/(-20)*20\/30)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15160057306913 take away -0.05?\nAnswer: -15160057306912.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 3 - (-6 + -30)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/6)\/(1\/(-6)). Let j be 2 + 1 + 1 + -92. Let s be (j\/(-20) - 4)\/(1\/10). Solve 0 = s*o - z*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*x**3 + 93*x**2 - 117*x.\nAnswer: 3*x*(4*x - 3)*(7*x + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/2 of a micrometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 679.\nAnswer: 6790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 8:21 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -31*u**2 - 41*u - 24. Let w(s) = 16*s**2 + 21*s + 12. Let g(p) = -6*m(p) - 11*w(p). Does 9 divide g(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-217 + 113 + 123 - 6*c**3)*(4*c + 0*c - 5*c).\nAnswer: 6*c**4 - 19*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + -3. Let q = p + 62. Let y(l) = l**2 + 12*l - 10. Let m be y(-13). What is the highest common divisor of q and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235 (base 8) to base 6.\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 486*p + 1 - 1914*p.\nAnswer: -1428*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5376, -20080, -44594, -78924, -123076?\n\"Answer: -m**3 - 4899*m**2 - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 - 24\/(-15). Let r = 2 - u. Suppose r*p + p = 2. Solve -2*f + p = 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496*h + 13446 = -478*h. Let f = 745 - h. Which is smaller: -3\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -3, 0.5, 498, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1987?\nAnswer: -2\/1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2450742 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*q - 13*q + 2*q**5 + 2*q**5 - 9*q wrt q.\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**7\/210 + s**5\/30 + s**3 - 7*s**2. Let f(j) be the first derivative of k(j). What is the second derivative of f(i) wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(14)*-5)\/sqrt(2) - (sqrt(567) - sqrt(63))\/sqrt(9)) + 1 + 2*(sqrt(343) + -2))**2.\nAnswer: -42*sqrt(7) + 349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 161*s**2 - s.\nAnswer: 161*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 47781983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 23. Let r be (4\/(-2))\/((-60)\/o). Let k = -5 + 9. Which is the closest to 1\/3? (a) r (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-23 - (-24 + 14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 1. Let g(h) = 7*h**2 + 2. Let u(x) = 2*d(x) + g(x). Let y(z) = -z + 1. Let w(f) = 5*f - 4. Let q(o) = 3*w(o) + 12*y(o). Determine u(q(a)).\nAnswer: 99*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -604424 (base 7) to base 5\nAnswer: -11234203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 1:47 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000024355367 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 15.91.\nAnswer: 4.773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 5*o + 4. Let l be d(-6). Let a(g) = 11*g**2 + 10*g + 2. Let x be a(-3). Let c = l + x. List the prime factors of c.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -56 in ascending order.\nAnswer: -56, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 6*i - 40 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o - 26. Let f be q(11). Solve 2*s = -4*c - f + 2, 5*s + 12 = 4*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 1. Let i be ((-17)\/(-3))\/((-17)\/(-153)). Let v = i + -57. Determine q(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629360519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 1661.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 0.11, -1, 1\/4, 0, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 432910, 432843, 432776, 432709, 432642?\n\"Answer: -67*t + 432977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*v - 9, -26*v = -4*z - 21*v + 49. Suppose -w + 36239 = z*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 - 4*k**3 + 6*k**3 + (0*k**2 + 4*k**2 - 2*k**2)*(-k + 1 - 1) - 10357*k**2 + 10357*k**2 - 283*k**3.\nAnswer: -287*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -118748615, -118748610, -118748605, -118748600, -118748595, -118748590?\n\"Answer: 5*v - 118748620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h + 8. What are the prime factors of y(-19)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = f + 2*f - 21, z - 4*f = -6. Suppose 3*x = 4*x + 4*u + 1, 0 = -x + 5*u + 8. Let r = z - x. Solve -c = r*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/(58\/1305). Let q be 10\/3*(5 - -1). What is the tens digit of l\/q + (-230)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1479, 1463, 1435, 1389, 1319, 1219, 1083?\nAnswer: 905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -148372166?\nAnswer: 148372171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 5*c + 42, 10*b + 41 - 6 + 4 = -3*c - 60 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = -4*w + 588. Does 34 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1524882 minus -7.8?\nAnswer: 7.6475118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 15. Let u be l(0). Which is smaller: u or -13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -99 + -2925?\nAnswer: -29c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 5712 (c) 0.2 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*l + 3*l**2 + 26*l)*(20 + 5 + 1).\nAnswer: 78*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from rrrrrrrqurr.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 1\/21*n**6 - 41 - 1\/7*n**4 + 4\/35*n**5 - 4\/7*n - 16\/21*n**3 - n**2. Factor d(c).\nAnswer: 2*(c - 2)*(c + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 234? (a) 2 (b) 5\/2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 12. Let u be b(10). Suppose -u*l - 4 = 5*i, -i = -0*l - l - 2. Let v be 5\/((-5)\/((-15)\/(-18))). Which is bigger: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*p + 42 + 254 = 0. Find m, given that -4\/9*m + 2\/9*m**p + 10\/9*m**2 + 0 - 8\/9*m**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - y**2 - 2*y + 2. Let a = -33 + 35. Calculate w(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 212*c**6 + 2*c**4 + 2514*c**3 - 2168228*c**2.\nAnswer: 25440*c**3 + 48*c + 15084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -28*p - 20. Let i = 889 - 812. What is the remainder when c(-6) is divided by i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -4485901?\nAnswer: -4485902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/11, -0.4, 1\/6, -1\/5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135.19 - 117.49. Which is the second smallest value? (a) 0.5 (b) f (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5*f - 1 + 15*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16.41, 3, -105, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 - 1 + 24*v**5 + 7348*v - 7199*v + 11*v**5 wrt v?\nAnswer: 700*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373696 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 v(t) = 12*t**3 + 5*t - 5. Let k be (-4)\/((-4)\/(-72)*6). Let b(i) = 30*i**3 + 12*i - 12. Calculate k*v(z) + 5*b(z).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z + 629. Let t be q(103). Calculate the greatest common divisor of t and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b. Let p(i) be the first derivative of -i - 1 + 0*i**2 - 1\/6*i**3. Let k(w) be the first derivative of p(w). Calculate f(k(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19574310 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 82.60156 millilitres?\nAnswer: 0.08260156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y + 609 - 96 = 0. What is the remainder when 568 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*u*u*u*(u*u**9)\/u*u))\/u*u\/(u\/u**(-11)*u))\/(u**(-2\/19)*u*u\/(u**(-3\/13)\/u)))**7)**(-5\/6) assuming u is positive.\nAnswer: u**(41965\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 5. Let f(a) = -a**3 + 3*a**2 + 5*a - 3. Let y be f(4). Let z be -3*(-10)\/(-15) + y. Let d(w) = -3 - 4 + 2 + 6. What is z*j(b) - 2*d(b)?\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbii. What is prob of picking 3 b and 1 i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 3 + 0 + 2 - 8)*(-596*q**3 - 238*q**3 + 103*q**3) in the form z + a*q**3 + h*q + t*q**2 and give a.\nAnswer: 15351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**6\/36 - 86*t**5\/15 + 173*t**4\/15 - 416*t**3\/45 + 2063*t**2. Factor a(j).\nAnswer: -2*(j + 104)*(5*j - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by (17 - 11)\/((7\/6)\/7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssaa. What is prob of sequence sas?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.625 + -4.125. Which is the nearest to -0.02? (a) g (b) 0.3 (c) -2\/173 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - (sqrt(363) + 1*(sqrt(363) - (sqrt(363) + 2 + sqrt(363))) + sqrt(363)) - (sqrt(363) + sqrt(363)*2)**2*4) + 2.\nAnswer: -13064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(150)*-2 + -1*sqrt(486))\/((sqrt(270)*-3)\/((sqrt(90) - sqrt(10))*-6)))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/3 - -3\/2. Let s = -14 + 10. Let u be 0*((-6)\/4 - -2). Which is the closest to -1? (a) s (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*f + 46*f - 13 - 74*f + 19*f)*(-4*f - 4*f**3 + 4*f) in the form c + y*f**3 + m*f**2 + g*f + n*f**4 and give n.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1200206606, 1200206605, 1200206604, 1200206603, 1200206602, 1200206601?\nAnswer: 1200206600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 6, 21, 44?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzzzzzzzhzzzzhzzzz. Give prob of sequence hh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**2 - 50044*l + 26997960 = 0.\nAnswer: 565, 11946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -12\/11 (b) -14 (c) 1 (d) 0.4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -16. Suppose -5*d = 2*r - 9, -2*d - 4*r + q*r = 6. Let c be 27\/(-12)*2*-2. Solve 0*a = -d*a - c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98536 a multiple of 436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 7. Suppose 3*z = 3, 8*j - 7*j - 1 = -z. Suppose j = 15*k + 126 - 21. Calculate f(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4) + sqrt(4) + 2*sqrt(4) + sqrt(4) + sqrt(4)) + sqrt(91)\/(sqrt(14)\/sqrt(2)).\nAnswer: 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328273?\nAnswer: 23, 57751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4400a (base 13) to base 8.\nAnswer: 360242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from {g: 8, d: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150934.\nAnswer: 2, 7, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25328 = 383*k + 21115 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4553965 to the nearest integer?\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476086?\nAnswer: 2, 13, 18311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-30)*1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(16) - (sqrt(144)*-4)\/sqrt(9))\/((sqrt(88)*4)\/sqrt(11)))**2.\nAnswer: 125\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963343420.\nAnswer: 2, 5, 13, 17, 67, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15943.53 seconds to nanoseconds.\nAnswer: 15943530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502065\/120 + 3\/24.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-104)\/168 - 4\/(-14))*-3777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 1)*(-1048 + 13*c + 11*c + 1050)*(3 - 3 - 1) to the form z*c + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - (-4 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 0*f**3 - 1\/30*f**5 - 1\/12*f**4 + 0 - 1\/180*f**6 + 2*f**2 + 0*f. Let z(y) be the second derivative of x(y). Give z(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6520 + -3232. Suppose -4278 = -10*a - g. Let m(q) = q + 10. Calculate the remainder when a is divided by m(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5 = -2*b - v, -2*b - 25 = 5*v. Suppose 3*j - 2*x = 12296, -5*j + b*x + 20494 = -3*x. Round j to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6770581562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*d = -o + 58, 4*d = -8. Let m be (-54)\/(-10) - (-30)\/o. Let c = 9 - m. Let q(i) = 2*i**2 - i - 2. Give q(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (2 + -2)\/(-3). Let p(g) be the first derivative of y*g + 0*g**4 + 0*g**3 + 1 - 3\/5*g**5 - g**2. What is the second derivative of p(b) wrt b?\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.2 (b) 0.2 (c) 30\/53 (d) -4 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.896 rounded to 1 decimal place?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 671723*b**3*l**2 + 295167*b**2*l**2 wrt b.\nAnswer: 4030338*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 13*g - 2. Let b be j(6). Suppose 5*r - 2 = b*r, -4*q = r + 246. Let h = q - -67. Put 4, -1, -2, h in descending order.\nAnswer: h, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 1\/24*q**4 + 0*q + 3*q**2 + 0 + 25\/6*q**3. List the prime factors of c(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002856298388 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnn when three letters picked without replacement from fnfqffnnfnfnfnffqfnf.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/39 and 109\/229005?\nAnswer: 2977065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-9))\/((50\/(-2500))\/(3\/10)). Find a such that h - 1\/3*a**2 + 8\/3*a = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107.21 - -2.11. Round r to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, -140, -358, -642, -986?\n\"Answer: o**3 - 42*o**2 - 27*o + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18990 divided by 15.\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 153972439 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/13? (a) -6\/7 (b) -79\/4 (c) -1\/6 (d) 0 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**4\/5 - 444*w**3 - 6678*w**2\/5 - 8*w\/5 + 8904\/5 = 0.\nAnswer: -2, 1, 1113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - f - 28, 0 = 5*p - 6*p - f - 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-30))\/((-3)\/(30\/(-2)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 - -121. Let j = n - 2. Suppose -j*c = 2*c - 1498. Calculate the remainder when c is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 8*a**2 - 6*a - 2. Let b be p(7). Solve 0 = -4*m + 5*l - 2, 17 = -b*m + 2*l - 3*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*f**2*x**2 + 27372*f**2 + 88149*f*x**3 - 6*f - 1 with respect to x.\nAnswer: 44*f**2*x + 264447*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 7*v. Let i be t(7). Suppose g = 2*y + 11, -g + 20 = -5*y - i. Which is bigger: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -925 - -1779. Is 61 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 535527629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*h + 108 = 0, -5*h = -5*c + 9*c - 214. What is the derivative of 119 + 28*n - c*n - 42*n wrt n?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.39 and 0.16?\nAnswer: 0.0624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 1633653?\nAnswer: 1633646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-17)\/(-119)*70\/4.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30222120208 rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r = 9344 + 67216. Calculate the greatest common divisor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqzqzzqqqqqqqqqq. Give prob of picking 2 z and 1 q.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*v - 197*v + 120 = 0 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 3 + (47 - 28) + -13 + -1 - -51\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 398812 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1323 is divided by 356.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2746, -2722, -2698?\n\"Answer: 24*i - 2770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10329574*q**2 - 3503681*q - 1?\nAnswer: 20659148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-1 + 3) - ((-3 - 12) + 21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 0.06, -1, -5, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 102144.348 to the nearest 10.\nAnswer: 102140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 363382 and 5146?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.8607 to one dp.\nAnswer: -12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 7*o**2 - 8*o - 8. Let k be c(-6). Let p = 7 + -3. Let d be (p\/6)\/(16\/24). What is the third biggest value in d, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -22?\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20626687.\nAnswer: 31, 67, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134288, 134285, 134278, 134267, 134252, 134233, 134210?\nAnswer: 134183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 5, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141 - 137. Suppose -2*b = -s*v - 114, -4*b = -v + 19 - 247. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -359?\nAnswer: 35.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, e: 16}. What is prob of picking 1 d and 2 e?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5511*u**2 - 38865 + 38865)*(-u + u - 1 - 2*u).\nAnswer: -11022*u**3 - 5511*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -19. Let w = p - -10. Let r = 78 + -75. Which is the fourth smallest value? (a) 0.4 (b) 2 (c) r (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -13356 in decreasing order.\nAnswer: -2, -4, -13356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002665 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -49*v**2 + 702*v - 22. Give x(14).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 217*i**2 + 4*i**3 - 29*i**4 - 255*i**2 + 30*i**4 to the form f*i + n*i**4 + h*i**3 + z*i**2 + c and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 7*o + 11*o + 2. Let r = -228.2 + 249. Let d = 21 - r. Which is the closest to o? (a) -5 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-954)\/12)\/(1\/(12\/9)).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**2 + 111*b - 348. Determine a(15).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44797787 is divided by 1148661.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 239532430 divided by 2521394\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 171, 202?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1580949, 1580950, 1580951, 1580952?\nAnswer: 1580953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 - -4) + 6 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**5\/60 - 5*c**4\/12 - 11*c**3\/6 - 93*c**2. Factor h(y).\nAnswer: (y - 11)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 i when four letters picked without replacement from iiiijijj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/1586 and -33\/11414.\nAnswer: 696254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 16150088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -479?\nAnswer: -479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 54, 53, 62, 87, 134, 209, 318, 467?\n\"Answer: z**3 - z**2 - 5*z + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 o when three letters picked without replacement from {v: 15, o: 3}?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -81600 rounded to the nearest 1000?\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11245.3044 rounded to the nearest 10?\nAnswer: -11250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 11:24 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1 + -2.5. What is the biggest value in 1, -2, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2215, -4423, -6631, -8839?\nAnswer: -11047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-6 - (-6 + 8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82971 and 119259?\nAnswer: 52354701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 784777571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 2, h: 2, y: 2}. What is prob of sequence aja?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) 4 (c) 1 (d) 487 (e) 5.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167871 - 87*k + 87*k + 9*k**2 + 167871.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-1 + sqrt(108))*-5 - (-5 + (0 + sqrt(108))**2)) + -1 - 3*(sqrt(108)*-2 + -4)**2*3).\nAnswer: 5364*sqrt(3) + 24786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*h + 45184 - 15388 = -49*h - 256*h for h.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61850131?\nAnswer: 7, 17, 193, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 p when three letters picked without replacement from {e: 1, p: 2, o: 1, s: 1, i: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((44 - 48)\/(-4 + -2))\/((-26)\/1014)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-21)*(-3)\/(-6)*-3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6\/5, 0.3, -0.3, 266?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = p + 2, h + 2 = -p - 3*h. Let j = -6 - -8. Suppose j*w + w + 12 = 0. Which is the third biggest value? (a) -5 (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29878, -29876, -29874, -29872?\nAnswer: -29870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.2, -0.3, 2\/15, -2 in ascending order.\nAnswer: -2, -0.3, -0.2, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 - 1\/(4\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1 + 4 - 1053*c - 409*c to w*c + h and give w.\nAnswer: -1462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 2*d + 4. Let f be x(0). Suppose -2*m + f*n + 30 = 0, m + 7*n = 5*n + 15. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 151\/2, 7611, -8 in decreasing order.\nAnswer: 7611, 151\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49955 and 7760.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 230*u**3 + 378*u**3 + 533*u**3 + (-u**2 - 3*u**2 + 3*u**2)*(1 + u + 6 - 3) to q*u**3 + p*u**2 + y*u + h and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 44*s**2 + 6*s. Let d(u) = -2375*u**2 - 323*u. Let g(y) = -6*d(y) - 323*f(y). Let k(x) be the first derivative of -x**2 + 23. Give g(k(v)).\nAnswer: 152*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + -1 - sqrt(132)\/sqrt(48).\nAnswer: -1 + 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 7904 + 2383 = 5*g, -10255 = -5*g - 5*d. Let q = g - 1162. What are the prime factors of q?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(52\/10)*4\/65\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.47 + 1.1. Let f = z + -0.6. Sort f, 4, -0.2 in descending order.\nAnswer: 4, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1791? (a) 1\/3 (b) -0.3 (c) 0.04 (d) -1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17406 (base 8) in base 14?\nAnswer: 2c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32000.3 millennia in months?\nAnswer: 384003600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105928308 a multiple of 1278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2*n - 6244, -6*y = -2*y + 5*n - 4985. Suppose f = 5*k - 2*f - y, -754 = -3*k + f. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 * -337\nAnswer: -10784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-6)\/5)*1\/10.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130)\/(-13)*(-2)\/(-16)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*w + 4*w = 16, -3*d = -2*w - 27. Let c(v) = -v**3 + 11*v**2 - 3*v - 43. What is the tens digit of c(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 5*c**2 - 15*c**2)*(3 - 2 - 3)*(-4*c**3 - 2*c**2 + 2*c**2) + (-c**2 - c**2 + 0*c**2)*(-9*c**3 - 16*c + 16*c).\nAnswer: -86*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 3604?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 94390*k**2 + 2225668033*k + 80246425284.\nAnswer: (k - 47213)**2*(k + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1607.556 - -1604. Let q = -0.444 + s. What is the smallest value in q, -2\/11, -1\/10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 144*t**2 + 4*t - 74. What is the hundreds digit of a(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1. Suppose 5*r - 1 = -31. Let x = r - -7. Do k and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 8, -2, 16 in increasing order.\nAnswer: -2, 8, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224863836 divided by 37477306.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 3*u**2 + 5*u + 10. Let z be k(6). Let j be 9\/(-21) - 3\/(84\/z). Solve -1 = q - j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**4 - 51*c**3 + 10*c**2 + 90284*c.\nAnswer: 48*c**2 - 306*c + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -27, 5, -3, -21 in decreasing order.\nAnswer: 5, -3, -4, -21, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218 - 3218. Round v to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*1*165\/(-33)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*v + 102, -2*q + v + 174 = 3*v. Find the third derivative of -601 + 601 - q*w**6 + 32*w + w**2 wrt w.\nAnswer: -11040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*(-2 + -6*sqrt(720) + sqrt(720) - ((sqrt(720) - ((sqrt(720) - -6*sqrt(720))*-1 + sqrt(720))) + sqrt(720)))*1)**2.\nAnswer: 202176*sqrt(5) + 39425616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52485 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w + 25 = g, 4*g + 134 = 5*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379323, 1517652, 3414867, 6070968?\nAnswer: 9485955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 2*p**3\/3 - 3*p**2 + 4*p - 5. Give f(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbzbbzbzbbbbbbzbb. Give prob of picking 3 b.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 5*d**2 - 5*d + 2. Let v = -48 - -58. Calculate the lowest common multiple of n(3) and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - o. Suppose x - 4*x = o. Suppose 0 = 2*d + d + 9, -m - d + 2 = x. Solve 0 = -k - 2*a + 3, -6 = -m*k - 2*a + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 450136*h - 450122*h - 305*h**3 + 900258*h.\nAnswer: -305*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 759274184636506.9999979 - 759274097099396. Let f = i - 87537098. Let y = 13 - f. Round y to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/35)\/((-4)\/(-440)*8)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -12. Let h = 9.2 + g. Put -13, h, 1 in descending order.\nAnswer: 1, h, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/20 and -107\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1470 and 117750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2\/7*r**2 - 40\/7*r - 264 = 0.\nAnswer: -22, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 8. Let n be u(-8). Suppose 3*f + 0*b + b - 95 = n, 0 = 4*f + b - 126. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 1. Let j(i) = -2*i**2 + 7. Let o be (20\/(-40))\/((39\/(-30))\/(-13)). Calculate o*t(m) + j(m).\nAnswer: 3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16502662 is divided by 1155?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3504*p - 1261?\nAnswer: 3504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 3*m**4\/4 - 29*m**3\/3 - 6*m**2 + 20*m - 2367. Calculate t(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 3*w**3 + 2*w**3 + (0*w - 2*w + w)*(2*w - 2*w - 3*w**2))*(-6*w**2 + 2*w**2 + 2*w**2).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 17 = -5*r, -2*r = b + 87 - 73 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2380937 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 8*b**2 - 8*b - 3. Let o = 38 - 24. Suppose 2*z = -2*v + o, -2*v - 2*v + 38 = -z. Let t be a(v). Solve -14 + t = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27231680)\/1433264 + (-19)\/(-1). Do d and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194204367?\nAnswer: 3, 7, 31, 99439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(11))*2.\nAnswer: -8 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -21. Suppose c = 4*a + 2*i - 7, a - 3 = -5*i. Determine y, given that -3 + 2*y**a + 4 - 1 + 13*y**4 = 0.\nAnswer: -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 17.2. Let w = 7.8 + d. Suppose -2 + 6 = -4*o. Which is greater: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12888 and 1611.\nAnswer: 12888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 32*b**2 + 7*b - 4. Let l be v(-2). Let f = l - 71. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1866 is divided by 190.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17972 divided by 4493.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, s: 3, n: 4}. What is prob of picking 3 n?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k**3 - 3*k)*(-k**2 + 8*k**2 - 2*k**2) - 4*k**5 + k**5 - k**5.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 69*b**2 - 874*b - 1453. Give o(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 2, 0, 2\/3, -190?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 250649, -0.8, 4, -1\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46484*m**2 + 2*m - 4397?\nAnswer: -92968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 423 and 50901?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a factor of 46017645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**12\/q**(6\/5) assuming q is positive.\nAnswer: q**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 4*p + 44. Suppose 4*d - 15 = -5*x + 10*x, -2*x + d = 3. Calculate the remainder when 8\/((-24)\/(-41))*(x + 2) is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - sqrt(360)\/sqrt(6))\/((sqrt(75) - sqrt(75)*-3) + sqrt(75)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.839 to one dp.\nAnswer: 27.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (19\/(-4))\/(8\/(-32)). Let j(n) = n**3 + 13*n**2 - 28*n + 35. Let z be j(-15). Let y = z + f. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1008*s**6 + 22*s**5 - 60*s**3 - 86999359*s**2?\nAnswer: 120960*s**3 + 1320*s**2 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(147)*5 + sqrt(3).\nAnswer: 4 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -76, -8444 in decreasing order.\nAnswer: -2, -76, -8444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*k**3\/13 - 46*k**2\/13 - 80*k\/13 + 32\/13 = 0. Calculate k.\nAnswer: -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -246*d - 366. Let q(f) = -50*f - 73. Let c(n) = 5*a(n) - 24*q(n). What is the lowest common multiple of c(-4) and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + s - s + (10 - 2 + 12)*(-3*s + 5*s + 0*s))*(0 + 0 + s) in the form t + w*s**2 + b*s and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68332, -74279, -80226, -86173, -92120, -98067?\nAnswer: -104014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21330 + 21326. Sort f, 1\/3, 33 in decreasing order.\nAnswer: 33, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28402, 29008, 29588, 30142, 30670, 31172, 31648?\n\"Answer: -13*d**2 + 645*d + 27770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 25*s**3 + 44\/3*s**2 + 9*s**4 - 4\/3*s = 0. Calculate s.\nAnswer: 0, 1\/9, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 8. Let i = -1 - o. Which is the closest to 0? (a) i (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*t + 7*t + 3*t + (1 - 4 + 5)*(0*t - 3*t + 2*t) + 5 + 2*t - 5)*(4 - 5 + 2).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4090*v**2 + 19*v + 110. Let g(y) = -4089*y**2 - 19*y - 120. Let m(k) = 6*g(k) + 7*r(k). Find the second derivative of m(n) wrt n.\nAnswer: 8192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9925, -19768, -29549, -39268, -48925?\n\"Answer: 31*u**2 - 9936*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -623\/5 + 125. Let f = 0.5 + -0.2. Which is the closest to y? (a) -2 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from vvvxuvvvujvx.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -93, 0.078, 10\/17, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 22*o = 48888. Suppose -54*f + 45*f = o. What is f rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/18 + (-25)\/(-6). Suppose 5*l = a*r + 17, 5*r = 3*l - 5*l + 20. Solve n - l = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u + 7*u = 0. Suppose -4*x - 4*f + 20 = 0, x = 2*f + 5 + 6. What is the smallest common multiple of 24 and u + 6 - (-5 + x)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55400000 to the nearest 1000000.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.4 + 18.9.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y**3 + 3*y**2 + 9*y + 39. Let s(n) = 17*n**3 - 7*n**2 - 18*n - 91. Calculate 7*k(i) + 3*s(i).\nAnswer: -5*i**3 + 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 756\/(-324) + 5134\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*p = -7*p + 164, 3*c + 2*p = 226. What is the highest common factor of 248 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157\/6 + 1123\/42. Let r be 27\/24 - (1 + 0). Suppose 3*y + 3*i - 17 = -2*y, 0 = 3*y - 4*i + 13. Put y, r, j in decreasing order.\nAnswer: y, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3\/6 + 36925*w**2\/6 - 4304935*w\/6 + 126482135\/6.\nAnswer: -5*(w - 7267)*(w - 59)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1162 = 4*b - 170, 2*b + 4*h - 648 = 0. Let l be 2416\/b - 16\/(-120). Which is smaller: 8 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 4*i - 8. Let f be a(-6). What is the highest common factor of f and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*g + 3421 + 2431 = -185*g - 4732 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 29*d - 157. Let o be a(-20). Solve 21*v - o*v - 8 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (504\/4116)\/(52\/(-91)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*y + 3*y**4 - y**4 + 5*y**4 wrt y.\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -0.2188768?\nAnswer: -1.2188768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2669 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*m - 20*p + 15*p, -5*p + 18 = -m. Solve -2*x + 2 = -2*i, 2*x + i + 3 = -m*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -40*o + 6524. Is i(100) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Suppose 2*x = -3*x - y*o + 51, -x = 5*o - 1. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20017?\nAnswer: 37, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23086*t**2 - 174*t**3 + 23086*t**2.\nAnswer: -174*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 333*k**4 - 23*k - 12*k + 9 - 3*k**2 + 38*k - 5*k wrt k?\nAnswer: 7992*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 171\/38 + (-1)\/(-2). Let w = -0.1 - -0.2. Let f = 0.1433 + -0.4433. Which is the closest to f? (a) w (b) m (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 123781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 242795 to the nearest 1000.\nAnswer: 243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.12 - -3. Let g = 190 - 183. Let k be 156\/(-52) - (-19)\/g. What is the second biggest value in l, k, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q - 120. What is the remainder when q is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6124 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5106717 by -33.\nAnswer: 154749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -167\/420 - -22\/21. Calculate the common denominator of i and (8\/(-276))\/((-100)\/7275).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37432231183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 4538850.\nAnswer: 18155400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072 take away 101?\nAnswer: -101.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -436.34331 rounded to the nearest ten?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 6)*(-5*q + 3*q + 0*q) + (-3 + 0 + 4)*(-q + 4*q - q) + 3*q + 1 - 1 in the form k*q + h and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -139 + 139. Suppose -902 = -4*o + f - 50, 5*f = a. List the prime factors of o.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*(6 + 0)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 3 (b) -1\/9 (c) -9 (d) -17 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-30) + 1086\/45. Let m = 1 + g. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-80)*(-10)\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(7 - (-615)\/(-87)) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -1171*o**2 + 7*o - 10. Let l(n) = 2*n + 13. Let a be l(-4). Suppose -c = a*q + 38, -2*c + 3*c = 3*q + 2. Let t be b(c). Round t to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1596, -3233, -4902, -6609, -8360, -10161?\nAnswer: -12018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 595 and 4732385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0104 - -0.0104. Which is the nearest to 0.1? (a) -14\/3 (b) d (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*x + 2*x. Let s = -6 - x. Solve 2*j - u + 11 = 0, -s*j - 3 = 4*u + 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 77334*a + 10 - 38670*a - 38665*a. What is x(15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 15 + 3 = 0. Let i be -11 - (f + 1 + -5). What are the prime factors of (-432)\/(-20) - 4\/i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 275769715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132203412323 - -4?\nAnswer: -132203412314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3542.8918 to the nearest 10.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2321*j**2\/8 + 1064517*j\/8 - 5045\/4.\nAnswer: -(11*j - 5045)*(211*j - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from {i: 2, b: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/8))**(6\/5)*(x*x*x**(-11)*x)\/x**(-1\/9) assuming x is positive.\nAnswer: x**(-1393\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374989919?\nAnswer: 31, 12096449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5220 (base 6) to base 5.\nAnswer: 14124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l + 45*l = -h + 6482, 5*h + 2150 = 3*l. What is the lowest common multiple of 4 and l?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106528429?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 + 158 = -21*x. Suppose -c + 4 + 24 = 5*u, -2*u = 3*c - 19. Suppose -c*i + 2*i + 5 = 0. Solve -i*s = 6 - x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*c = -106*c + 9106 + 13670 for c.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1431476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 - -129. Solve 44*d + 5 = x*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, o: 1, z: 5, g: 5, y: 4}. What is prob of picking 1 z, 1 o, and 1 g?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374119.\nAnswer: 17, 59, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 17*l - 85 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -75. Sort 1\/4, 0.1, w, -1.\nAnswer: -1, w, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -0.851?\nAnswer: -6.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 9, o: 3, q: 2, x: 2}. What is prob of picking 1 q and 1 x?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, m: 6, d: 1, h: 2}. What is prob of picking 1 g and 1 h?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/6 and 109\/6520?\nAnswer: 19560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103306686, -206613374, -309920062, -413226750, -516533438, -619840126?\nAnswer: -723146814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 less than or equal to 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14\/3 + 59\/12. Which is the nearest to -2\/5? (a) -4 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*z - 63 = -6*z, 0 = -5*c + 3*z - 101. Is -23 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -bb6?\nAnswer: bbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2528641?\nAnswer: 479, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 213754028 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 6:10 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8143, -8124, -8105, -8086, -8067, -8048?\n\"Answer: 19*s - 8162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2)\/(2\/(-1604)). Let f = -218 - h. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/5)*i**(-5\/6)*(i\/(i*i*i\/(i\/(i\/((i**(-2\/13)*i)\/i*i)))*i))\/(i*i\/i**(-2\/7)) assuming i is positive.\nAnswer: i**(-13849\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10510280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*k + 12 = -7, 0 = -t - 4*k + 13. Which is the second smallest value? (a) 32 (b) t (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 11*o**2 - 11*o - 10. Let g be z(12). Is 4 a factor of (3 + (-11)\/g)*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57.401 - 0.701. Round z to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 363 = 4*m, -4*m + 480 = m - 4*b. Is 46 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - r**3 + (-3 + 3 - 2*r)*(-5*r**2 - r**2 + 2*r**2))*(-2*r**2 + 4*r**2 + 0*r**2).\nAnswer: 14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, 265, 312, 349?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20211321 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 194*r**3 + 3*r**2 - 12*r + 18. Let f be g(2). Let y = 48 - 48. Suppose y*o + f = h + o, -3*h = o - 4680. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 7*v**2\/2 + 11*v - 27. Let d be o(2). Solve -4*l - d + 5 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s + 22. Let m be a(-3). Solve -m*i + 2*u = 3*u - 2, -5*i = -4*u - 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (22 - ((-13 - -8) + 3 - 7)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6073 + 6*m**2 + 2045 + 1985 + 2043.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7614 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3213904 is divided by 45257?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + t + 35 = 6*t, 0 = -n - 3*t + 13. Let p = 651 + -653.63. Let k = p + -0.37. Which is the closest to -2\/3? (a) -2\/3 (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0 (c) 44 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + 1*sqrt(3) + ((sqrt(3) + -4*sqrt(3))*-4 - sqrt(3)))*4 + 5.\nAnswer: -6 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3112*k + 7. Let q be t(0). Solve -2*f - 9*c = -q*c + 4, 5*c + 3 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5112 is divided by 2451?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 540193730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v + 108 = 17*v. Let y = 30 + v. Is (y + (-234)\/12)*116\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 1 + (-11)\/((-33)\/(-9)). What is the biggest value in 0.1, -3\/4, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**5\/60 + h**2. Suppose 15 = -7*t + 43. Let f(x) = -39*x + 26 - 12 - t - 10. Calculate f(l(p)).\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 l, and 1 x when three letters picked without replacement from lrxlrlrrlflfrlrfl.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -11*s**2 + 7*s - 3. Let u(z) = -5*z**2 + 3*z - 1. Give -4*o(n) + 9*u(n).\nAnswer: -n**2 - n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l - 17. Is u(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 99 - 121 = 5*l, -4*l = -3*y + 17 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/11 + 6*p - 180\/11.\nAnswer: -2*(p - 30)*(p - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1107986 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*f + 11*f + 10*f - 6*f to c*f + m and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (202\/2)\/(((-12)\/18)\/(40\/30)*-2).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2231444 (base 5) to base 14\nAnswer: 10624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbrbbbbbbbrrbbqbrhb. Give prob of sequence rh.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**3\/3 + x**2 - x. Suppose 0*u + 2*u = 0. Suppose v + 5 - 2 = u. Let q(m) = -2*m - 3. Calculate v*j(w) - 2*q(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 18 = 8. Let j = -54559 + 54562. Let p(w) = w**2 + 2*w - 3. Let f be p(-3). Solve j*b + 5 = 5*g, -4*b + f*g = -5*g + h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 87 - 3*l**3 + l**2 - 7*l - 87 + 6*l**3 + 2*l**4 in the form w*l**4 + q + d*l**3 + i*l**2 + j*l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/3, -0.3, 0.3, 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**5\/3 - v**3\/6 + 3*v**2. Calculate the remainder when 37 is divided by y(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -2*p + 69. Calculate the greatest common factor of p and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (245*c + 97 - 97)*(4 - 1 - 4)*(-1 + 2*c + 1)*(5 + 4 + 0).\nAnswer: -4410*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038460.\nAnswer: 2, 5, 137, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**3*s + 42*j*s + 1431*j - 13166*s + 142 wrt j.\nAnswer: -6*j**2*s + 42*s + 1431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2069034 by -2001.\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -559*o. Let r(m) = 2*m**2. What is r(y(v))?\nAnswer: 624962*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - (-11 - (-3 - 3)). Solve -5*v = -w*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*s - 38*s - 232*s = -6900 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2. Let c(h) = 1815636*h**2. Calculate f(c(y)).\nAnswer: -9889602253488*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 4*x - 11. Let a be v(7). Let g(t) = t**2 - t + 1. Let o be 2*(-3 - -2 - 0). Let k(h) = 1 + h**2 - 5*h + 5*h**2 + 4. Calculate a*g(l) + o*k(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**4 + 205*g**3 - 199*g wrt g?\nAnswer: 24*g**2 + 1230*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -26 - (-334 - -287)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Suppose y*b = a - 89, -4*b + 8*b = -2*a + 146. Is 32 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/24034 and 1486 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/16*3\/45*-6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.6822 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44460087823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117338 is divided by 29313.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519*m = -524*m + 24175. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**4 - 2324*x**3 = 0.\nAnswer: 0, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 81082.16 hours?\nAnswer: 291895776000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20\/3, 0.1, -0.5, -86, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 4) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 + 5\/4*o**4 - 5*o - 15\/4 + 5\/2*o**2 = 0. What is o?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 9*z**5\/4 + 681*z**4\/4 - 2287*z**3\/2 + 2033*z**2 - 1390*z + 328 = 0.\nAnswer: -82, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*2.3.\nAnswer: 41.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -43 + l**2 - 12*l + 69 - 9*l. Let m be z(21). Is (-5343)\/m*(-22)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.4, 3\/7, -0.5, -0.02?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -22*u, -47 + 56 = c + u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9216 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/43363?\nAnswer: 1\/43363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*h - 110, -h + 0*h = -3*a - 179. Let k = a + 153. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + 1.4. Let z = 3.3 - -0.7. Let c = 0.3 + -0.3. What is the third biggest value in z, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2172 + -238?\nAnswer: 1833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.513 - -22.787. Let x = t + -24. What is x rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -144, -464, -1088, -2118, -3656, -5804, -8664?\nAnswer: -12338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338175 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1359 - 1395) + 1 + 22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 332*j**2 - 652*j - 324.\nAnswer: -4*(j + 1)**2*(j + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/88)\/((-1)\/24*-27)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {f: 10, p: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 404, 451, 316, -61, -740?\nAnswer: -1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 11*l**3 - 6*l + 4. Let h(d) = -10*d**3 + 5*d - 3. What is 5*h(r) + 4*u(r)?\nAnswer: -6*r**3 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 1\/7, 0, 1033, -1.37 in ascending order.\nAnswer: -1.37, -1, 0, 1\/7, 4, 1033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -6 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12710 + -10823. List the prime factors of o.\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-3))\/(15\/(-18)). Suppose -5*f = -o*w - 25, 2*f - f = -w + 5. Put -8, f, -5 in descending order.\nAnswer: f, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3409097*f**2 + 449726*f wrt f?\nAnswer: 6818194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 5*w**2 + 2*w + 6. Let d be m(7). Let p = -76 - d. Put p, -11, 1, -2 in decreasing order.\nAnswer: p, 1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18240495 to the nearest integer?\nAnswer: 4271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*k = -20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 11 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2052 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsq when three letters picked without replacement from {f: 2, x: 6, s: 5, v: 3, q: 2}.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5539*r**2 + 10*r - 127. Is u(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-280)\/30*336\/196?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.338 and 3903.\nAnswer: -1319.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 54. Suppose -3*b + 13 = -h. Let d(y) = 9*y. What is the remainder when b is divided by d(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -18.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 9. Let t be -1 + ((-48)\/(-10))\/3. Suppose -y - i = -4, -3*i - 8 = y - 8*i. Sort t, y, v in ascending order.\nAnswer: v, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12776 divided by -3194?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3829 - 101?\nAnswer: -392a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, v: 10}. What is prob of picking 4 v?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 878 = -2052. Suppose -f = -11*h + 9*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 30 - 2 = 0. Let n = 7 + w. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/93580 and 173\/330.\nAnswer: 3088140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, -0.3, -2\/13, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6)*((-337)\/2 + 5). Let l = -56 - n. Let g = l + -48. Solve -3*m - 3*t = -2*t - g, m - 3*t = 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 2764) + -7 + -2*1. Let c = q - -102648\/37. Calculate the common denominator of 35\/2 and c.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 10*r = -12*r - 76*r - 790 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 234543.1\nAnswer: -234527.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 317063855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.2 + 18.6. Let b = p - 13.40464. Round b to 4 dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 1015.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 1:24 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*((-3)\/(-2))\/3. Suppose 3*b - 15 = v, 2*b = -3*y + b + 38. Let m be 112\/10 + 8\/(-40). Calculate the highest common divisor of y and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338548.8 decades in months?\nAnswer: 40625856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j + 10. Let d be i(-4). Let o(g) = 1 + 0*g**2 - 3*g - g**2 - 4 - 10*g**3. Is o(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/5040 and 71\/102780.\nAnswer: 2877840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 457066 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: Expand (-1884*f + 3767*f + 25 - 1880*f)*(2*f - 2 + 2).\nAnswer: 6*f**2 + 50*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 95*o**2 + 390*o + 19012. Calculate q(-97).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34122241 (base 5) to base 9.\nAnswer: 508608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and -11560.\nAnswer: 9248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284485 to the power of 1\/2, to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 798380 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -525 + 1000. Suppose -5 = 4*a - t, -4*t + 20 = 4*a - a. Suppose -4*g + 109 = n, -4*n - 3*g = -a*n - o. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + (-5)\/(-5) - 7)\/1. Suppose -2*r = r. Which is the third smallest value? (a) r (b) y (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-6)*(-22)\/(-220)*-24.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*c - 50, -5*n + 4*c = -28 - 31. What is the highest common factor of 105 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*u + 45 = -25, -4*u + 164 = 4*k. Calculate the remainder when k is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 154 = 2*v, -5*u = -u - 8. Suppose 26 = 4*j + 3*p + 9, 5*p - 15 = 0. Suppose -v = -j*r + 4*k, k + 159 = r + 3*r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 4*n**2 - n - 4. Let c be b(3). Suppose 6*t - 52 = c*t. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 3*j**2\/2 - 6*j - 15. Let m(o) = -3*o + 7. Suppose 2*v - 5*n = -0*v, -5*v + 4*n + 17 = 0. Give v*c(l) + 4*m(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u + 10. Let n be w(1). What is the fourth smallest value in n, -4, -2, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.67684754979 from -0.14.\nAnswer: -1.81684754979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010110011000 (base 2) in base 5?\nAnswer: 414340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130 - 120. Suppose 2*l = m + m - c, -3*l - 18 = -4*m. Suppose m*i + 153 = 2*b, -5*i - 36 + 229 = 2*b. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*d - 6 = 0, -4*x + 0*d + 4*d - 20 = 0. What is the units digit of 8 - (x + -1 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 170\/(-30))*4\/10. Let y(q) = -3*q**3 - 42*q**2 - 3. Let a be y(-14). Sort 3, c, -127, a in descending order.\nAnswer: 3, c, a, -127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138 and 2451.\nAnswer: 112746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 275675*j**3 + 302095 wrt j?\nAnswer: 827025*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 669624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 2. Suppose 0 = 2*y + 2*u - 10, -16 = 2*y - 5*u - 5. Suppose -v + 4*v = -15, -y*v = -4*n - 2. Sort 0.3, o, n.\nAnswer: o, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18 - -863) + -10 - -21 is divided by 215.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/4, -0.7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvff when four letters picked without replacement from vffvvvvvvfvvfvvvvff?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - ((sqrt(300) - (0 + sqrt(300))) + -1))**2*-3 - (sqrt(300) + (sqrt(300) - (-1 + sqrt(300))*-1))*-5.\nAnswer: -908 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**2 - 14*t - 4. Suppose 0 = -w - 2*w - 5*n - 13, -59 = 5*w - n. Calculate the least common multiple of 8 and c(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.51 + -0.49. Let s = -22.958 - u. What is s rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*r - 106*r. Which is bigger: 1\/254 or r?\nAnswer: 1\/254","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgvgjmrrvgbg. Give prob of picking 2 v and 1 j.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 11755 = -2*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*y + 2 - 11*y - 4*y + 9*y**3 as q*y + s*y**2 + w*y**3 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37560840 by -201940.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 4*p**2 + p + 2. Let j be u(-4). Let v be ((-14)\/16 - -1)*j. Suppose -x - 2 = 3. Which is the nearest to v? (a) -0.4 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3789 + 1653 + 3*r + 2135.\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2)\/x)**(-22)*((x\/(x\/x**(2\/3)*x))\/x)\/(x*x**(6\/5)))\/(((x**0\/x)\/(x\/x**(-4)))\/(x**(-2))**(38\/3)) assuming x is positive.\nAnswer: x**(152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(448) + 0)**2 + 2 + -1 - ((2 + (-1 + sqrt(448))**2 - (-5*(sqrt(448) - ((-2*sqrt(448) + sqrt(448) - sqrt(448)) + sqrt(448))))**2) + -1).\nAnswer: 16*sqrt(7) + 44797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -149636 and 1.\nAnswer: -149635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3890 and 2334?\nAnswer: 11670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c1f - 0?\nAnswer: -c1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2032*a*c**3 + 2*a + 324*c wrt c?\nAnswer: 12192*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 12:11 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -222993 and -222993 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5\/(-3) + 1)*(-17 + 2) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 407771 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 3. Let l be w(3). Solve -5*d + 0*d = -l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0, -5, -6740.\nAnswer: -6740, -5, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-218)\/208*-3*4\/(-6) and ((-1)\/(-12))\/(22\/(-1804)).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2 + 2*o - 4 + 4 - 5 - 2. Give r(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*263.226\nAnswer: -131.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-35))\/(1\/(-7)). Let f be (-52)\/40*y - -3. Factor -f*b - 2\/5*b**2 + 0.\nAnswer: -2*b*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16082, -16085, -16066, -16013, -15914, -15757, -15530?\nAnswer: -15221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04397541118 to six decimal places.\nAnswer: 0.043975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3068616 is divided by 1957?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d - 4. Let x(t) = -t - 6. Let u be x(-9). Suppose -b + u*b - 12 = 0. What is the units digit of f(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2. Let t = 2 - r. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1739 is divided by 342?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(90\/5)*-3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + -5.02. Let v = -58 + 197. Let c = v - 139. What is the closest to c in 0.5, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + 5*(-190)\/(-5) - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**3 - 9*d**2 - 21*d + 46. What is k(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 287927d9?\nAnswer: -28792800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0*s**(3\/2)*(s**0)**(-1\/11) assuming s is positive.\nAnswer: s**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7c84 (base 16) to base 14\nAnswer: b88c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 261, 823, 1387, 1953, 2521, 3091, 3663?\n\"Answer: q**2 + 559*q - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*x - 2 = 0, -38*x + 42*x + 4 = 5*d. Let g(b) = d + 6 - 6 - 22*b**2 - 9*b**2. Let w(j) = -4*j**2. Determine w(g(n)).\nAnswer: -3844*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 8346?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 3:01 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*y**2 - y - 11*y + 12*y**2 + 35*y**2 - 48*y**2 as k + x*y + h*y**2 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**4 + 16*u**3\/3 - 8*u**2 + 8. Let v(q) = -q**2 + q. What is -m(w) - 16*v(w)?\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 * -0.01504551.\nAnswer: -0.025577367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1082, 3007, 4976, 6989?\n\"Answer: 22*w**2 + 1859*w - 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u - 30. Let m = -4553 - -4546. What is r(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 4593*i - 3*i**3 - 4593*i.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 7*r**8\/720 - r**7\/180 + r**6\/720 + r**5\/6 + r**2 - 30. Let b(i) be the third derivative of v(i). Find p such that b(p) = 0.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 10844.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -0.5, -98, 2, -47 in increasing order.\nAnswer: -98, -47, -5, -0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/12 + (-3)\/(-18). Suppose -m*c - 2*c = -12. Is (-4)\/(c - -9)*-39 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96a7 (base 12) in base 3?\nAnswer: 211200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4846210 divided by 969242\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4096 is divided by 3896.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 10. Let i be h(6). Let q = i + 9. Solve s - 8 = q*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-21)\/(-5) + (-5)\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 3*r**2\/2 + 45*r - 49. Give v(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1130 divided by -5\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*b - 96 = 0, 0*x + 4*x - b = 117. What is the least common multiple of x and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -800 + 877. Let v(j) = -j**3 + j**2 - j + 11. Let d be v(0). Calculate the greatest common divisor of a and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/96*-4)\/((-2)\/18). Solve -17 = -g*x - 5, -2*p + 3*x = 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -41*l**4 - 5*l**3 + 83. Let w(j) = 102*j**4 + 12*j**3 - 207. Let x(h) = -12*m(h) - 5*w(h). Differentiate x(b) wrt b.\nAnswer: -72*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.028252, 5, 0.7 in decreasing order.\nAnswer: 5, 0.7, -0.028252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73405?\nAnswer: 5, 53, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/h**(1\/7))\/h))**(-16\/9))**(-35) assuming h is positive.\nAnswer: h**(640\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.3. Let l = 0.1 + 0.8. Let n = -0.6 + l. What is the biggest value in 5, n, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 292*g**2. Let r(h) = 3*h - 52. Let y(p) = 26. Let c(d) = r(d) + 2*y(d). Determine f(c(j)).\nAnswer: 2628*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304.7033 nanometers to micrometers.\nAnswer: 0.3047033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18931.09 + -19410. Let a = s - -479. Which is greater: 7 or a?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 129*a = 107*a - 3467124. Does 164 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/((-3)\/((-54)\/60))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -3*w + 4, 2*i + 4*w - 60737 = -60751 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -21 (c) 0.5 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 112597\nAnswer: 24\/112597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x**2 - 2*x + 20. Let b(w) = -8*w**2 - 2*w + 19. Calculate 3*b(l) - 2*c(l).\nAnswer: -6*l**2 - 2*l + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10275)\/(-82200)*16\/10*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*r = 0, 4*c = -c - 3*r. Suppose 4*q - 16 = c, -26 = 3*p + q - 3. Let n = p + 15. Solve s - 25 = n*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1637.\nAnswer: 5\/1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**6\/120 + h**5\/20 + h**4\/6 + h**3\/6 - 6*h**2. Let d be c(4). Is 13 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -345 + 347. Let m be (-92)\/(-4)*q*(-4)\/(-8). Solve f - 19 + m = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106 - 177) + 117 + 19 + -2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*b**5 + 3 + (-b**3 + 4*b**3 + 2*b**3)*(20*b**2 - 4*b**2 - 3*b**2) - 8*b**5 + 3 - 10*b**4 + 9*b**5 + 9*b**4.\nAnswer: 68*b**5 - b**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5161*s**2 - 5*s + 5*s + 5164*s**2. Let h(y) = 6*y**2. Calculate h(a(q)).\nAnswer: 54*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**0)**(-8\/11))**(1\/11) assuming v is positive.\nAnswer: v**(-8\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b = -i + 2, 0 = -2*i + 4. Let j = -15 + 7. Let w be j\/(-20) + (-24)\/10. Sort w, b, 1 in ascending order.\nAnswer: w, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2. Let v(z) = -39*z**2. Calculate -26*t(d) - v(d).\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*l**2*x - l**2 - 7*l*x**2 - 50*l*x + 4*l + x**2 + 9498 with respect to x.\nAnswer: -35*l**2 - 14*l*x - 50*l + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3118738520 a multiple of 436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159255832 to the nearest integer?\nAnswer: 12620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 897362 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 + -214. What is the remainder when 71 is divided by (-3 + k\/(-12))*4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.89182t in nanograms?\nAnswer: 98891820000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/4 + 59\/12. Let a = -8 + 5. Sort 0.3, a, s in descending order.\nAnswer: s, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12944 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -42*s - 15. Let k(g) = -14*g - 5. Let z(d) = 3*c(d) - 8*k(d). Is z(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 247 - 249. Sort -3, 3\/4, o in descending order.\nAnswer: 3\/4, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*n - 494*n + 64*n - 270*n + (-1 + 1 - 1)*(0*n + 5*n - 3*n) + 4 - n - 4 as v + a*n and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1918 and 6?\nAnswer: 5754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 58637, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 38 - 8. Suppose 6 + g = 3*c + 3*n, 4*n = -16. Suppose -26 = -q + 5*f, c*f - 4*f - 58 = -4*q. What is the remainder when q is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6924 + -6928. Put h, 4\/13, -0.3, 8, 0.3 in decreasing order.\nAnswer: 8, 4\/13, 0.3, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -345096a (base 13) to base 7\nAnswer: -253634653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Let g(o) be the third derivative of -o**5\/30 + 7*o**4\/24 - o**3\/3 - 198*o**2. Give g(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -11, -5\/7, -1, 43.\nAnswer: -11, -1, -5\/7, 4, 6, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnkn. What is prob of sequence ln?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36059, -36536, -37337, -38462?\nAnswer: -39911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -183338 + 183338.191897. Let c = x + -0.192. What is c rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9194811\/1007 + 4\/38 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**6\/24 - 5*c**5\/8 - 235*c**4\/48 + 75*c**3 + 810*c**2 - 124*c + 1. Find w such that l(w) = 0.\nAnswer: -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93 + 78008\/(-840))*-90?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofnxjkf. What is prob of picking 1 j, 1 k, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from hhuhu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(704) - sqrt(704)) + 2 + 1*(sqrt(704) + 1*sqrt(704)) + 2*(4 + 0 + sqrt(704)))**2 + -1.\nAnswer: 160*sqrt(11) + 803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1272370?\nAnswer: 2, 5, 11, 43, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5572293 millilitres to litres.\nAnswer: 0.0005572293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 162.89154ns?\nAnswer: 0.000000002714859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 - (-3)\/72*59698. Let t = h + -2497. Calculate the common denominator of -61\/16 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000543 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8429218211?\nAnswer: 8429218211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.465137 rounded to one dp?\nAnswer: -27.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/2023 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3*(-234)\/52. Let t be (2\/(-6))\/(5\/(-30)). Suppose -2*v = v + 2*g - 10, 0 = -n*v + t*g + 14. Solve 5*b - 5*i = -20, 5*b + v*i = 2*b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - i - 4*i - 260, 0 = 3*o + 5*i - 132. What is the remainder when o is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1748 = 7*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 61605*g**2 - 164*g + 8. Is x(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a microsecond in nanoseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27\/11 - -313\/132. What is the closest to -0.23 in u, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54624335 - -54624321.0000037. Let v = p - -14. What is v rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3607847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/79 - 227\/395. What is the biggest value in b, 1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -4. Let s = i - -26. What is the nearest to 2\/7 in -1\/6, s, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**6\/720 + 7*h**5\/120 - 3*h**4\/4 + h. Let s(t) be the third derivative of n(t). Give s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 5*v + 10. Let b be 8\/(-1)*10\/(-8). Suppose 28 = 4*a - 4*i, -4*i - i = b. Calculate the smallest common multiple of v and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 bigger than -29\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 23 = 177. Let h be (-1)\/(-1) + -11 + 3. Let t be (-49)\/h + (1 - 0). Calculate the highest common factor of t and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 5*v + 5. Let m be k(-4). Let i be 669\/m + (-6)\/(-9). Suppose 2*d + 4*n = -80, 0*n + i = -3*d + 3*n. What is d rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 + 46*i - 29. Let n be p(-21). Suppose 5*u - n = -3*q, 0*u = -4*u - 2*q + 264. Does 29 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((28692\/42)\/(-6))\/(4\/12). Let q = -341 - n. Let c = 18 - 2. What is the smallest value in c, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41650 is divided by 1388?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -554*i - 23256. Determine z(-42).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3757, -5, 0.2, -20?\nAnswer: -3757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 5*q - 3*q. Let k(p) = 4*p**3 + 2*p**2 + 7*p - 25. Let m be k(2). Let z(u) = 46*u - m*u + u. What is z(f(y))?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 19*c**2 + 35*c - 9. Calculate a(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 7 - 4. Suppose 3*a - 78 = -x*k, a + 5 = -3*k + 41. Let q = -20 + a. Sort -1, q, 4 in decreasing order.\nAnswer: 4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + j - j)*(0*j**3 + 0*j**3 - 2*j**4) + 255*j**4 - 137*j**4 - 127*j**4 - 4*j**5.\nAnswer: 2*j**5 - 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Let y be 1\/2*-2 - -6. Suppose -d + y = -v. Calculate the highest common divisor of 2 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -3*d**4\/2 + 3*d**3 - 12. Find the third derivative of a(c) wrt c.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 700?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833671657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/11, -0.2, -116, 2\/3, -364, 0, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s**(-10)\/s*s)*s\/(s\/(s*s**(-10)*s*s))*(s*s*s**0)\/(s*s**(-1\/6)*s) assuming s is positive.\nAnswer: s**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**(1\/7)*n*(n**(-8)*n)\/n*(n\/n**0)**8 assuming n is positive.\nAnswer: n**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*t - 153 + 3898 - 974 = -2023 for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1.014, 0.5, -2\/15, 0.1, -2\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 109992997*i + 109992997*i + 0*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*i + 958, 1061*i - 1301 = 1058*i - 4*b. Suppose 2*o = 3*o - 130. What is the highest common divisor of i and o?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/5 - 388*t**2\/5 - 2802*t\/5 - 2412\/5.\nAnswer: 2*(t - 201)*(t + 1)*(t + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = k - 0*k. Let g = -5 + k. Suppose 3*v + 2 - 23 = g. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 52*q + 1. Let z be p(4). Suppose 9*t + 110 = 1730. Let r = t + z. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l. Let k(w) = -9*w - 74. Let z(i) = 33*i + 220. Let r(x) = -7*k(x) - 2*z(x). Give a(r(q)).\nAnswer: 18*q - 468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**3 + 2*x**2 + 19*x + 92. Is 16 a factor of z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 16. Suppose -f*u - u = 3*r - 6, 2*r = -4*u + 8. Is r greater than or equal to -10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 2:18 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/63 of a week in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17702164.\nAnswer: 2, 4425541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21 + 25 - 31 + 18*p**2 wrt p?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26712887819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 68295, -5, 3, 2, 5 in descending order.\nAnswer: 68295, 5, 3, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/107 - 291\/535. Let l = -6.86 - 0.14. Let f = -6.9 - l. What is the smallest value in f, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9511 - -9513. Sort 0, n, -1\/26 in ascending order.\nAnswer: -1\/26, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 36\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -4853326.\nAnswer: 1\/4853326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-279)\/12 - (-2)\/8. Does -20 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20023001 (base 4) to base 9.\nAnswer: -50822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 32 - (-30 + 2) - 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1)*(-6 - -7). Let y = 51515\/3339 - -1\/3339. Let m = -15 + y. Which is the closest to -2\/7? (a) w (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -17. Suppose z = 3*i + q, -2*q - 2*q = 4*i - 36. What is the remainder when 22 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 16, 20, 26?\n\"Answer: f**2 - f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3)*u)\/u**(1\/3)*(u\/u**2)\/(u**(-2)\/u))**38 assuming u is positive.\nAnswer: u**(380\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + (sqrt(125) - (sqrt(125) + -3)) + sqrt(125))*-1 + 4)**2 - (1 + (sqrt(125) + -2 - sqrt(125)) + -2).\nAnswer: -20*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/116 and 155\/348?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1019*4.2\nAnswer: -4279.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*l**3 + 54700*l**2 - 7608597*l.\nAnswer: 162*l + 109400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3556?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - -4. Suppose 0 = 3*f + 2*f - 250. Calculate the remainder when f is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -424120.5 less than -1?\nAnswer: 424119.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 216, 206, 194, 180, 164, 146?\n\"Answer: -n**2 - 7*n + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -790 + 789.9. Let y(m) = -m + 2. Let d be y(7). Sort n, d, -2\/11 in ascending order.\nAnswer: d, -2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -181. Is 35 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -593*v**4 + 195*v**2 + 13*v - 6203954 wrt v?\nAnswer: -2372*v**3 + 390*v + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 1 = 16, -3*t - 4*u + 44 - 21 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:56 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -282 < -285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4433 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -10. Suppose -2*i + t + 2*t + h = 0, 2*i + t = 6. Is 2 a factor of (i + -16)*(-3)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 14*z + 784. Let k be u(-56). Suppose -9\/2*r**3 + k + 0*r + 3\/2*r**2 - 3\/2*r**5 + 9\/2*r**4 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 + 1 + 52 + (231 - 261)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*p**2 - 9*p**3 - 113*p**2 + 53*p**2.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 420.2658 nanograms?\nAnswer: 0.0004202658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180260.\nAnswer: 2, 5, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 1203132?\nAnswer: -1203132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -1.4, 1\/4, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -145*u**4\/4 + 6161*u**3\/6 - 6576*u. What is the second derivative of w(o) wrt o?\nAnswer: -870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - u**2 - u + 15. Let o be h(0). Suppose 5*g = 4*w - 20, 2*w + 5*g - o = -w. What is the third derivative of 3*y**6 - y**5 + 2*y**2 + y**w wrt y?\nAnswer: 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 10*n**2 - 8*n + 213. What is v(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/29925 and 13\/440097.\nAnswer: 33007275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1855.99372 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 284818503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.1 - 6. Let h = -52.16 - -14.16. Which is the closest to p? (a) 1\/5 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6176626 and -60792.\nAnswer: 6115834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, f: 7, i: 12}. What is prob of picking 2 i?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + 2*sqrt(39)\/sqrt(3)).\nAnswer: -16 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + -3.1. Let z = 18 + -25. What is the nearest to z in -2, u, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5 + 20 = 0. Solve q + 2 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -340984 * 0.3\nAnswer: -102295.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59201 - 17886. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 200 = -80. Let w be 560\/(-75)*(-10)\/t*12. Factor w + 24\/5*g**2 + 96\/5*g + 2\/5*g**3.\nAnswer: 2*(g + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6044*c + 339. List the prime factors of m(2).\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pypp when four letters picked without replacement from {p: 4, y: 14}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 2, -11, -26, -43?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 511639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -112*q - 63. Let l(v) = -7*v - 4. Let t(d) = -26*d + 145. Let b be t(8). What is b*l(c) + 4*h(c)?\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 - 2653*z + 10611. What is o(4)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 13785415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 29\/24*v**4 + 0 + 1\/3*v**3 - 3*v**2 + 0*v. Is p(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 0*t**2 + 0*t**5 + 0*t**6 - 4*t - 1\/7*t**7 + 1\/3*t**4 + 0 + 0*t**3. What is the third derivative of h(a) wrt a?\nAnswer: -360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199*x**5 + 399*x + 377*x - 713*x wrt x.\nAnswer: -3980*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9772181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**3 - 953*t**2 - 17*t - 4?\nAnswer: 12*t - 1906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -19*d**2 - 13*d + 9. Let a(b) = 9*b**2 + 2 - 2 - 4 + 6*b. Suppose -q + 681*x = 679*x - 8, 3*q - 2*x = 20. Determine q*z(f) + 13*a(f).\nAnswer: 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 1. Let h be y(1). Is 3\/6*h*-19 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 1. Let r(y) = -3*y**2 + 4*y + 292. Let p(g) = g**2 - g - 84. Let a(w) = -14*p(w) - 4*r(w). Calculate -a(l) - 2*q(l).\nAnswer: 2*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -536a?\nAnswer: -5356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847)*-1*5 + -3.\nAnswer: -55*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600.9479ug to tonnes.\nAnswer: 0.0000000006009479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010402 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + q = 6*t, q = -3*t - 7. Let c be (-3)\/2*(-16)\/(-132). Is c bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 760914 and 1881?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*w**2 - 933*w**2 + 471*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r. Suppose 0*k - k - 48 = r. Let m = k + 141. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 402 and 670.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - 0. Let b = 0.0499956 - y. Round b to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14131001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**4\/8 - 21*x**2 - 54. Let r(p) = 2*p**2 + 135. Give s(r(v)).\nAnswer: -6*v**2 - 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1295)\/(-370)*(1 - (-580)\/(-532))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (238*v**3 - v + v + 338*v**3)*(v**2 + 2 - 2).\nAnswer: 576*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*v + 327*v + 65*v = -11016 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 9:24 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104 - -4) + -1 - (-160 + 138).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-163 + 4)*-1*(20 + -21). Let p = -195 + 35. Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 2:45 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -23*l**3\/2 - 33*l**2\/2 + 115*l + 6. Let o(d) be the first derivative of y(d). Find the first derivative of o(c) wrt c.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 a when three letters picked without replacement from akkkkkkk?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4276338?\nAnswer: 2, 3, 11, 64793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*j + 22 = 4, -j + 54 = -3*i. Suppose -3*k - 9 = -4*x, 4*k = -4*x + 3*x + 7. What is the smallest common multiple of k and (-140)\/i - (-2)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**2 + 2*w**2 - 3*w**2 - 4*w**2 + 69 - 5*w**2 to t + m*w**2 + f*w and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21333, -3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 5. Let t = 104 - 453. Let y = -350 - t. What is the third biggest value in -3, y, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3646*x**3 - 33*x**2. Let a(z) = -729*z**3 - 6*z**2. Determine 11*a(o) - 2*g(o).\nAnswer: -727*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from etttettt.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*n - 660, -536 - 79 = -p - 5*n. What is the highest common divisor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/2217904 and -101\/2288?\nAnswer: 24396944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 19*q**2 - 87*q + 117.\nAnswer: -(q - 13)*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(2\/(-30*1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(16\/(-4)) - -2. Suppose 8*m - 50 = n*m. Solve -2*l + g - 4 = 0, -3*l - 3*g = -7*l - m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a65 + c7?\nAnswer: b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 + 176. Factor -2 + 3*r**2 + m*r + 1 + 1.\nAnswer: 3*r*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 558, -88 in increasing order.\nAnswer: -88, -4, 558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 3887*t + 7779*t - 3892*t.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/20874 and 53\/294?\nAnswer: 20874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -114173, -114172, -114171, -114170, -114169, -114168?\n\"Answer: h - 114174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:26 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*b - 3*n, 0*n - 4*n + 36 = 4*b. Let i = 1 + b. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13967440 rounded to the nearest 100000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 + -145. Let x be (-72)\/(-255) + 5\/((-75)\/f). Are -5 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62414 (base 7) to base 10\nAnswer: -15299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/105)\/((-17)\/102)*(-2)\/(-2)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 1, k: 5, y: 6, u: 2}. Give prob of sequence ku.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2004 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 7*k**2 + 2*k - 1. Let u be p(7). Let z = 27 - u. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2633 (b) 0.04 (c) 2\/19 (d) -2 (e) -193\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70126\/33 - 2126. Calculate the common denominator of -44\/3 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/180 and -59\/6324?\nAnswer: 94860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2145, -2150, -2155?\nAnswer: -2160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115 - -124. Let z(l) = 6*l**2 - 1. Let g be z(1). Let p(r) = -5*r. Let m be p(-1). Solve -c + 2 = f + b, c - g*f = m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31331001 (base 4) to base 16.\nAnswer: df41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 25. Let r be i\/(-6)*8\/(-6). Let l(f) = 21*f**2 + 2*f. Is l(r) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -95. Let f = 79 - s. What are the prime factors of (2\/f)\/(1330\/(-444) - -3)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(2\/29)*p)\/p)\/p*p)\/p)**43 assuming p is positive.\nAnswer: p**(-1161\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 15*u. Let z(p) = 36*p + 38*p - 78*p. Calculate i(z(t)).\nAnswer: -60*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7408\/4314485 - 1\/941. Do r and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*v + 10*v = -1664 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-79 - (2 + -95)) + -56\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/37 - -25\/74. Let v(o) be the first derivative of 3 + o + c*o**2. Determine v(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((1 - 0) + 0) + (-713115)\/15847.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 2*r - 21)*(r - 2*r + 2*r + (0 + 0 - 2)*(-r - 4*r + 3*r)).\nAnswer: 10*r**2 - 150*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -251 + 278. What is the greatest common factor of 108 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 21*v**2 + 24*v + 245. What is l(19)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18156316?\nAnswer: 2, 53, 85643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*k**3 + 18 - 23*k**3 + 2*k - 6 - 10 - 26*k**3 - k**4 as j + n*k**3 + p*k + u*k**4 + a*k**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + a**2 + 5*a - 91. Let d be b(0). Let f = -100 - d. Let l(y) = y**3 + 8*y**2 - 10*y - 10. Determine l(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, f: 2, b: 2, w: 1}. Give prob of picking 1 b and 1 f.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(6) - (sqrt(6) - (sqrt(6) + -2*sqrt(6)))))\/(-4*-2*sqrt(3))*-6 + 4*(-2 + sqrt(128) - (2*sqrt(98) - sqrt(98))).\nAnswer: -8 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5 - 11*i**4 - 56*i**3 - 60*i**2 = 0 for i.\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3*6\/(-81))\/((-14)\/(-36)))\/(90\/(-4095)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 2:09 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103.945 + -0.055. Let o = x + 117. Let q = 8 - 15\/2. Put -4, o, q in ascending order.\nAnswer: -4, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 759917a + -5?\nAnswer: 7599175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m + 223 - 118 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/11 - 3282*t**2\/11 + 1795254*t\/11 - 327334646\/11 = 0 for t.\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**6\/30 - 79*q**5\/10 + 6241*q**4\/12 + 1294*q. Let u(j) = 0. What is j?\nAnswer: 0, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 15.7, -2\/5, 164, 0.5.\nAnswer: -2\/5, 0.5, 3\/5, 15.7, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33 + 238 - 1936*d**2 + 14*d + 43 - 28*d wrt d.\nAnswer: -3872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 1 + (-2 - -2). Suppose q - 6 = -g*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 17200\/70271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12108 + -10006. Is i less than 2102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1913 = -3*i + 2*c - 1854, -10 = -5*c for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/8)*t\/(t*(t\/t**(-7\/2))\/t)*(t*t\/t**2*t)**(2\/5) assuming t is positive.\nAnswer: t**(-139\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q + 3*j + 506 = 10*q, -5*q = -j - 78 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**4 - 4380*b**3 + 13170*b**2 - 13180*b + 4395 = 0.\nAnswer: -879, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -870. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(5 - 4 - 4)*(-3 + 1 - 2)*(3*q - 5*q + 4*q).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -35*v**3 + 237*v**2 - 76*v + 7. Give f(6).\nAnswer: 523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-1)\/(-1862)) - (-7 + 3). Let y = 2900 + c. List the prime factors of y.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9)\/a)\/a)**(2\/93) assuming a is positive.\nAnswer: a**(-22\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 11*j**2 + 11*j - 1. Let u be a(5). Let i = u + 179. What are the prime factors of i?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1050, -2031, -3004, -3963, -4902?\nAnswer: -5815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by -16 - -20 - 58\/(-2*1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**14)**29*(s**(-22)\/s)\/(s*s*(s\/(s\/(((s\/(s*s**(-7)\/s))\/s*s)\/s*s*s)))\/s*s*s) assuming s is positive.\nAnswer: s**(-412)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*q + 552 - 1 - 79 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 27461 = 286*r, 902*u - 3*r = 903*u - 293 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 995117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 7, -2, -17?\n\"Answer: -3*a**2 + 6*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 5*a**2 + 4 + 0*a + 0*a. Let m be i(-3). Suppose -3*n - m = -8*n. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 400795869?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9897 divided by -12\nAnswer: 3299\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 338\/39 - (-4)\/3. Solve 8*d + c = 13*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6143422 and 28247.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4429\/3 + 1399. Let v = 78 + n. Factor -1\/3 + 1\/3*l**4 - v*l**3 + 0*l**2 + 2\/3*l.\nAnswer: (l - 1)**3*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28637 or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 133*q**2 + 98. Let l(i) = -11*i**2 - 8. Let r(d) = 49*l(d) + 4*p(d). Let n(h) = h - 174. What is r(n(w))?\nAnswer: -7*w**2 + 2436*w - 211932","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54804370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**5\/5 + 10*k**4 - 150*k**3 - 19*k - 2. Suppose i(z) = 0. What is z?\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60702 + 62497.76. What is d rounded to the nearest ten?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 4:09 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217217 is divided by 539.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 + (-15 + (-11 - (-26 + 7)) - -11) + -10?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(162)*4.\nAnswer: 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112210112022202211 + 0?\nAnswer: 112210112022202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(272)*-2*2 + (sqrt(17) - sqrt(119)\/(sqrt(21)\/sqrt(3)))*-2)**2.\nAnswer: 4348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbonozobgouzgonbgboo. Give prob of sequence ozzo.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 + 2)\/15)\/(216\/(-405))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-28)*((-36)\/15 + 2 + (-64)\/(-64))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -35. Suppose v*b + 28 = 2*s, 9 = -3*b + 3*s - 6. What is the units digit of (-2315)\/(-25) + b\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrp when three letters picked without replacement from xggprggxrvrp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4721022 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - r**2 + 12*r**2 - 6*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2026062 and 396.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3767293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5974*s - 5206. Calculate z(-1).\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12355 + -12359. What is the third smallest value in -1, 0.016, -0.7, k?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2721*y**3 - 7 + 1875*y**3 + 3 - 1428*y**3.\nAnswer: 3168*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/12 + k**3 + 7*k**2 - 9*k. Let y be h(6). Suppose i = -2 + y. Calculate the lowest common multiple of 9 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572689 is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.133 + 0.637. Let c = f + 2.28. Round c to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, u: 1, g: 2, w: 3}. Give prob of picking 1 l and 1 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j*q**2 + 607*j*q - q**2 - 5*q wrt q?\nAnswer: -4*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 937.9663 kilometers in meters?\nAnswer: 937966.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.08 + 5.08. Which is the nearest to 1? (a) x (b) -0.5 (c) -1\/6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 3:59 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3058 - -292?\nAnswer: -2986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -857*l**5\/5 + 1977*l**2\/2 - 382. Find the second derivative of p(y) wrt y.\nAnswer: -10284*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -9*p**2 - 2077*p - 6236. Give d(-3).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1*sqrt(110))\/sqrt(2))\/((sqrt(11) + sqrt(44)\/sqrt(4))*5).\nAnswer: sqrt(5)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 10. Let o be s(-8). Let z be o*((-2 - -5) + -1). Suppose l + z*l = 80. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111100110101000000000000 - -10?\nAnswer: -10111100110100111111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(sqrt(12)\/sqrt(3)) + sqrt(5) - (sqrt(5) - (-2 + sqrt(5) - sqrt(5))*4))*6 + 1*(-1 + sqrt(5) + 4 + -1*sqrt(5)) + 2)**2.\nAnswer: -516*sqrt(5) + 2029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 283*c**2 + 6*c - 17. What are the prime factors of p(5)?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 618 + -852. What is the common denominator of ((-5)\/3)\/(988\/h) and 71\/18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) -0.5 (c) -12 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 13*m - 2. Suppose -3*t + 4*o - 18 = 3, -3*t + 3*o - 24 = 0. Let g(x) = 9*x + 1 - 2*x + 3*x**2 - 4*x**2 + 0*x**2. Calculate t*g(l) - 6*b(l).\nAnswer: -l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10296, -10293, -10292, -10293?\n\"Answer: -s**2 + 6*s - 10301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 28 = 4*b, b + 1 = 3*m + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) 136 (c) 3\/4 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -9*m - 1\/2*m**3 - 1\/20*m**5 - 3\/2*m**2 + 0 + 5\/12*m**4. Let d be (-1)\/2*-2 + 2. What is s(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**6\/120 + 2*c**5\/15 - 3*c**4\/8 + 10*c**2 + c. Let n be m(-9). Solve 6*q - q = n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -329 - -488. What are the prime factors of w?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from {r: 3, n: 5, k: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 30769.\nAnswer: 61538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 29 = t, -97 = t + 2*t + 5*j. Let z = -35 - t. Sort z, -3, 11.\nAnswer: -3, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8752 divided by -60.\nAnswer: -2188\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - b - 4*b)*(24 - 24 + 58*b**2) in the form d + c*b**2 + z*b**3 + g*b and give z.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 29*h - 172. Determine l(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 21*w - 404. What is s(18)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2)\/w)**14)**(-25) assuming w is positive.\nAnswer: w**525","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c - 41. Let l be q(-13). Let s = -18 + 26. Let o = l - s. Solve -3*y + 4*y - o = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 3*q**5\/20 + q**4\/6 - q**2 - 2*q. Suppose 11*x - 4 = 9*x. Calculate the remainder when f(x) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -15. Solve 5*f + 4*t = 29, 2*f + t - 11 = -p*t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2280, 9362, 21174, 37716, 58988, 84990?\n\"Answer: 2365*m**2 - 13*m - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**4\/24 + 7*w**3\/6 + w**2. Let h = 229 - 235. Calculate the remainder when 76 is divided by l(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/21)\/(4\/(-2)). Put 77, 0.2, i, -1\/2 in descending order.\nAnswer: 77, 0.2, i, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-80) + 33\/132?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q = 2*t + 14, 4*q = 5*t + 17. Let w = -82 - -74.4. Let u = w + 8. What is the smallest value in t, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8950474 decades to centuries.\nAnswer: 0.08950474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 h when four letters picked without replacement from jhxxmhijmxiixhjh.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 52470242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-26 - -9)) + -5 + -4 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -120, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.089 and -33648.\nAnswer: 2994.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + 43. Let c be (-2)\/(-6)*20\/(-15)*-9. Suppose -5*v = 3*q - t, -c*q + 2*v = q - 99. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6263, 12503, 18739, 24971, 31199?\n\"Answer: -2*h**2 + 6246*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**5\/60 + 2*u**2. Let d(n) = -8*n**2 + 5*n**2 + 0 + 0. Calculate q(d(k)).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 23*t + 4 = 0, -t - 90 = -x. Suppose x = 14*w - 4. Calculate the remainder when 32 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 4 (b) -18 (c) -3 (d) -1\/2 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94590007?\nAnswer: 23, 4112609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 + 5*y**5 - 2*y**5 + (3*y + 0*y - 2*y)*(-2*y**4 - 2 + 2) + y**5 + 2*y**4 - y**4 - 4*y**5.\nAnswer: -4*y**5 + y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -2*v**2 - 4*v - 18. What is the remainder when 60 is divided by c(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 7)*(41 - 40 - 19)*(4 - 2 - 4)*(f + 4*f - 3*f)*(f - 2*f - f)*(-7 + 2 + 2).\nAnswer: -432*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((32851\/15015)\/361)\/((-1)\/(-6))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (734 - 640) + (-3 - 2) + -35.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1820?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 3*d**2 - d**2 + 4*d - 4*d + 4*d**2 + (-4*d**2 + 3*d**2 - d**2)*(0 - 2 + 1).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0, -32, -3, 14.\nAnswer: -32, -4, -3, 0, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/10)\/(3\/10). Let i be 13*(4 + -7 + j). Find the second derivative of 7*r - i*r**2 - r - r + r wrt r.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 3724690?\nAnswer: 14898760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*(-11)\/(33\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 9*d + 21. Determine b(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9563 - -9605. Solve h = 24*z - 17*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = 3*w + 3, 2*w - 12 = 2*c. Suppose w = 2*m - 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 2*n**2\/11 + 4232*n\/11 - 8472\/11 = 0. Calculate n.\nAnswer: -2118, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 975\/(-25)*((-310)\/(-279))\/(2\/(-3)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2602 divide 4537236825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1768.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.54 - 0.64. Let x = 0.43 + -0.13. Which is the closest to -0.1? (a) d (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c + 7*c - 43*c**2 - 11748 + 11748.\nAnswer: -43*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1204187 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwv when three letters picked without replacement from tvwwtvvvtww?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*p + 198*p = -912 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60812 or -243253\/4?\nAnswer: -243253\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2 + -12 + 6 - -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-16)*(-5056)\/158\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -25*j + 21*j - 26, -2*j = j + 3*g - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 1. Let a be f(-1). Suppose 4*s - 6*s + 14 = 0. Let m = a + s. Solve 12 = -4*h, -h = -5*q - 5*h - m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 87 (b) -2\/11 (c) 2 (d) -161 (e) -5 (f) -2 (g) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b (base 13) in base 11?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -100*b**2 + 112*b**3 - 5254664*b + 3*b**3 - 35*b**4 + 5254684*b = 0.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 5) to base 6.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 555*0.475\nAnswer: 263.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32311*o**2 + 32321*o**2 - 64627*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 12*y**3 - 9*y**3 + 6*y**2.\nAnswer: -21*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 24 = 2*b - 4*y, b = -5*y + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(7 - 13) + 24*-10. Let x = w - -1227. What are the prime factors of x?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 141 + -137. Solve 15 = h + 2*d + 2*d, -l*h = -d + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/10 and -83\/9310182.\nAnswer: 46550910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.12 (b) 0.2 (c) 0 (d) 240.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 176.2? (a) 0.156 (b) 1\/2 (c) 2 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-3 - 4) + 4) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11688 divided by 2\nAnswer: -5844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zst when three letters picked without replacement from {t: 9, z: 4, y: 1, s: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 837529 and 1196470?\nAnswer: 8375290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -61. Find x, given that -7*x - g - 245*x - 6 - 4 - 1323*x**2 = 0.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18889 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*k**2 + 38*k**2 + 109*k**2.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-3)\/6*0. Suppose -15 = -5*g - s. Suppose -g*z - 8 = -7*z. Solve 3*p - z*p + 7 = -v, 0 = 4*p + v + 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 15 = -4*o. Suppose 2*z = u + 9, -o*z - 3*u = -0 + 7. Let j(q) = 0*q**2 + 2*q**z - 4*q + 3 + 12*q**3 - 11*q**3 + 3*q**2. Give j(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 162 = -c. Calculate the least common multiple of 27 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36924 and 3?\nAnswer: 36924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 172 - 156 = -2*l, -3*l + 204 = 3*d. What is the remainder when d is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 1. Suppose -3*p = -6*p + 3*r - 9, 2*p + 8 = 3*r. Let w(h) = 4*h + 5. What is p*w(t) + 6*i(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 111446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/((-338)\/810) - 6\/39. Solve 0 = -o - 3*x + 4, -34*o + s*o + x = -2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*j**4 - 19*j**4 + 23*j**4 + (53*j**2 + 51*j**2 - 119*j**2)*(j**2 - 3*j**2 + 3*j**2).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 + 4*a**2 + 4*a - 5. Let b be 10\/(-10) - (0 + 0). Let d(j) = -j**3. Let g(l) = b*m(l) + d(l). What is g(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(4\/9))\/r)**(12\/7) assuming r is positive.\nAnswer: r**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4959 and 762.\nAnswer: 1259586","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r**(-1))\/(r**(-1\/2))**(-41))**(-39) assuming r is positive.\nAnswer: r**(1755\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -103*a - 1248 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 20. Suppose 0*i + y*i = w + 484, 0 = -5*w + 5. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m + 35. Let n(u) = 5*u - 1 + 4 + m*u**2 - 15*u**2 - 2. Let z(c) = 9*c**2 - 4*c - 1. Let a(y) = 4*n(y) + 5*z(y). Determine a(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2004 and -0.3.\nAnswer: -0.66012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + 0.6. Let a = 0.3 - v. Let n be (-2 + 2)\/(-4) - 13\/(-39). What is the third biggest value in a, 3, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2 - 11*f + 2 + f**2 - 1. Let g(s) = -2*s**2 + 21*s + 2. Let k(j) = 4*g(j) + 7*x(j). Calculate k(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*i - 84*i**2 + 10*i + 13*i + 166 - 29*i with respect to i.\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-642))\/((-48)\/(-128)*(-36)\/27).\nAnswer: -3\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8581 - 8537 - (1 - -133)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -149\/15, 3, -2\/5, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 14649.05982 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222 + -220. Factor 2\/3*v + 2\/9*v**h + 4\/9.\nAnswer: 2*(v + 1)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(1\/8))**(2\/9)*((l\/(l*l\/l**1*l*l))**(-19))**19 assuming l is positive.\nAnswer: l**722","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1110, -2420, -3730, -5040, -6350, -7660?\n\"Answer: -1310*a + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*z + 33, 3*z - 31 = k - 5*k. Let a = 6 - k. Find the third derivative of -5*n**2 + 2*n**2 + a*n**2 - 2*n**3 wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15661, 13724, 11787, 9850, 7913?\nAnswer: 5976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, -3.02, -16, 4, 5\/4.\nAnswer: -16, -3.02, 0.4, 5\/4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 3, -4, 21480, 0.2, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = -4*p - 16*r + 3587, -5*p - 2*r + 4501 = 0. What is the greatest common factor of p and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202022212111 (base 3) to base 5\nAnswer: 100301001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 41344282 and 6.\nAnswer: 41344288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (4 - 6) - -2. Suppose 0 = k*a - 7*a + 78. Suppose -4*l + 6 + a = 0. What is the smallest common multiple of 22 and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2. Let q = 372 - 310. Let w(o) = 10 - 24 + 13 + q*o. What is a(w(y))?\nAnswer: -7688*y**2 + 248*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -8*t**2 + 2*t - 1. Let p be (10\/(-15))\/((-43)\/21 - -2). Suppose -2*w - p = 5*f, -f - 3*w + 0*w - 8 = 0. Let n = 3 + f. Calculate y(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -m + 4*m. Suppose t - 6 + m = 0. Suppose t*r - 84 = r. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 6*b + 6. Suppose 0*u + 4*u - 986 = 2*p, -3*u + 990 = -2*p. Let z = 502 + p. Calculate the remainder when i(-6) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 370*i**4 - 1524?\nAnswer: 1480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*o - 3)*((3 + 1 - 1)*(0*o - o + 4*o) - 4*o + 6*o + 3*o) - 1 - 2*o**2 + 1.\nAnswer: -58*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-39)*1155\/(-110)*6\/7\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*n - 16, -2*n + 4 = -3*x - 3*n. Suppose x*z = -2*z. Suppose 2*c - 28 = -5*g - 6, z = 5*g - 4*c - 46. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + 14. Suppose -v - 4*v = -60. Suppose -2*w = -3*w + v. Calculate the remainder when n is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1354 + -1355. Is d equal to -5\/288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 260 - 257. Suppose q = -t - g, 1 = -6*t + 3*t + g. Which is the closest to 0? (a) 6 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x - 6. Suppose 0 = w - 2*g - 8, 5*g + 1 = w - 10. Suppose -4*p + 29 = -11. Let m(n) = p*n + 1 - 8 + 0*n. Calculate w*t(o) - 5*m(o).\nAnswer: 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -162*s**3 - 362171*s**2 - 120459787.\nAnswer: -486*s**2 - 724342*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1579, 5166, 11157, 19564, 30399, 43674, 59401, 77592?\n\"Answer: 2*w**3 + 1190*w**2 + 3*w + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-3)*6*(-35)\/(-35)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11246430?\nAnswer: 2, 3, 5, 13, 28837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 32*j**3\/3 - 13*j**2\/2 - 4*j. Is p(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 5:57 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(7) + sqrt(6))*4)\/(sqrt(10)\/(sqrt(5)*1)).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-1)\/((-2)\/4). Let i = 1 + z. Let g be 266\/76 + 2\/4. Is g > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137 or -3040?\nAnswer: -3040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 314 and 151034.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794235 is divided by 1460.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -577, -1159, -1743, -2329?\n\"Answer: -w**2 - 579*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 13*a)*(-3 - 5 - 12)*(-2*a + 3 - 3).\nAnswer: -520*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(10)\/sqrt(5) + sqrt(256)\/sqrt(8) - ((sqrt(50) - sqrt(550)\/sqrt(176)) + 5*1*sqrt(50)))**2.\nAnswer: 7569\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 396 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 j when four letters picked without replacement from zjmszjmzjjt?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i*p + 686994*i - 37646*p wrt p?\nAnswer: i - 37646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1680? (a) -3 (b) -4 (c) 1\/3 (d) -0.098 (e) 16 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 903447 - 577826. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3 - 10148679*g**2 - 3*g + 18805245 wrt g.\nAnswer: -12*g - 20297358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 710 + -710. Let q be ((-6)\/18)\/(2\/(-6)). Calculate the remainder when 64 is divided by (p + q)\/((-5)\/(-85)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 4*t - 4. What is the tens digit of (44\/8)\/(t\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - 163 - -59 - -42?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**4\/4 + i**3 + i**2\/2 + 152. Give f(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 101104444212?\nAnswer: 101104444222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.735 and -1.1.\nAnswer: -9.6085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p**2 - 5*p - 167*p**2 + 5*p + 141*p**2.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 262 + -17. Let x = -18.19021 + -226.81989. Let q = j + x. What is q rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1062.\nAnswer: 1\/1062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10991 + 11294.46. Let l = 350.401 - f. Let p = 47 - l. What is p rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iytyitiieyitiie. Give prob of picking 1 e and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23974, 41313, 58656, 76003, 93354, 110709?\n\"Answer: 2*v**2 + 17333*v + 6639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101913363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14475*k**2 - 72830*k**2 - 12376*k**2.\nAnswer: -99681*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34338.\nAnswer: 2, 3, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*h**2*r*w - h**2*w - 7*h**2 - 4*h*r + 9*r*w - 2 wrt w.\nAnswer: 5*h**2*r - h**2 + 9*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75481921?\nAnswer: 17, 491, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is a8 (base 16) in base 14?\nAnswer: c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 87 = 3*l, -2*l - 4*i = -7*l - 146. Let y be (153\/l - -3) + 2. Is -1 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*t = 124 - 3036 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 12 + 32 = 0. Suppose -f*t + 24 = -88. What is the highest common divisor of 112 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 407*r\/3 - 270.\nAnswer: -(r + 2)*(r + 405)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1263, 9\/4, -77\/8, 3 in decreasing order.\nAnswer: 3, 9\/4, -77\/8, -1263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 505 - 501. Put -16, l, -0.03 in decreasing order.\nAnswer: l, -0.03, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 27*b + 12. Let g be l(15). Let q = -55 + g. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i + i - i)*(4*i - 4*i + i**2) + (i**2 + 0*i**2 - 2*i**2)*((2 - 1 + 6)*(-i + 3*i + 0*i) + (-4 - 4 + 5)*(5*i - 2*i - i)).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - i + i)*(3 + i - 3)*(-i + 4*i - 2*i + 3*i - 3*i + i + i - 2 + 2 + (0 + 4 - 3)*(4*i + 3*i - 5*i)).\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-196)*21 + (597\/(-84) - -7)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -10*i + 33. Let v(w) = -5*w + 16. Let d(x) = 3*f(x) - 7*v(x). Let m be d(5). Calculate the remainder when 73\/3 - (-8)\/m is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 2*z**3\/3 + 3*z**2\/2 + 3*z - 24. What is t(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -4. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*g - 24284294219 + 24284294219.\nAnswer: 55*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38536854 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*i**2 - 21*i**2 - 18*i**2 - 22*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 7 - (354 - 380)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/19866 and -137\/6.\nAnswer: 19866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5*-15014\nAnswer: 75070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 7 = -x + 2, -3*x = -a - 25. Let v = 2720 + -2709. Calculate the remainder when v is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037881613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-45))\/(196\/(-245))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -213735919*g**2*r**2 - 2*g**2*r - 75593567*g*r**2 wrt g.\nAnswer: -427471838*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79769850?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -732459840.4194 and -3.\nAnswer: -732459843.4194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + sqrt(931)*2 + sqrt(931) + 0)*-1 + -5 + ((5 + -1*sqrt(931) + sqrt(931) - sqrt(931)) + sqrt(931) + sqrt(931) - sqrt(931)))**2.\nAnswer: 14896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7+-52060\nAnswer: -52053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 5*n**2\/2 - 7*n + 1. Let k(t) = -t. Let r(j) = -d(j) - 6*k(j). List the prime factors of r(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(-2)*s*s)\/s*s)\/s**5*s**7\/(s*s**(-9\/5)\/s*s)*((s*s**(-2\/25))\/s*s**5)\/(s**6*s*s**(-1\/5)*s) assuming s is positive.\nAnswer: s**(23\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 5*o. Let x = 115 + -57. Suppose x = 3*h + n, -44 = -o*h - 3*n + n. Calculate the least common multiple of h and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-346)\/676 - 5\/(-10). Let y = p - 1004\/845. Calculate the common denominator of y and -49\/19.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48039221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 2:34 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 0 - -9) + -14 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - l. Let g = 0 + -1. Let d(t) = -2*t**2. Let f(b) = g*d(b) - a(b). Let s(i) = 3*i - 2*i**2 - 5*i + 0*i**2 + 2*i**3. Calculate 2*f(q) + s(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 42. Let f(b) = -1. Calculate -3*f(i) - r(i).\nAnswer: -i - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*w - 3. Suppose 4*j + 24 = -w*k, -2*k = -j + k + 6. Let c = j - 2. What is the second smallest value in c, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*y + 2*y. Let z = y - 2. Let a = 9 + z. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9a5a29 - 0?\nAnswer: -9a5a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2399659 is divided by 65.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from {b: 1, q: 2, f: 1, m: 1, i: 2, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 985 - 4909\/5. Let h = -17\/10 + v. Let z = -29.9 + 30. Which is the nearest to z? (a) 5 (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/7 + 200*j\/7 - 10000\/7 = 0.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17628 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c**4\/17 + 350*c**3\/17 - 1128*c**2\/17 - 882*c - 4860\/17 = 0. Calculate c.\nAnswer: -15, -6, -1\/3, 27\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -123?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 6*p**2 + 20*p - 132. Calculate j(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + 0*o - 17*o - 22*o as y + u*o and give u.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0118364037 to 6 decimal places.\nAnswer: -0.011836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100050 and 552?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/(-195))\/((-2)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 divided by -2140?\nAnswer: -109\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/((p**(-1\/3)*p)\/p))\/p)*p**(1\/2))\/(p**(-1\/3))**(1\/8))**(-33) assuming p is positive.\nAnswer: p**(-319\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 452998 + -293197. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 6:53 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7 = -v + 4*c, -3*c = 0. Suppose -3*j = -14 - 10. Suppose v*p = j*p - 22. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*d - 2*d - 306, -d + 497 = -5*f. Let u be f\/8*(-436)\/(-5). What is u rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Suppose 0 = w*g - 8*g + 140. Suppose -56 - g = -4*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 29 + -8 - (-2 - 1). Suppose 0 = -6*k + n. Suppose 2*l = -k*l. Let j(a) = -a - 3. What is j(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 3*q + 0*q)*(3 - 3 + 2*q + 10*q + 5 - 5 + 0 + 0 + q + 4*q - 3*q - 2*q + (2 - q - 2)*(5 + 0 - 3)).\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*l + 7, -3*l = -4*g - 7*l - 4. Suppose -2*q = -4*u - 20, -g*u = 3*q - 4*u - 38. Calculate the smallest common multiple of q and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-8))\/9*(12 - 14). Sort c, -5\/6, 0.2 in decreasing order.\nAnswer: 0.2, c, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 282, 286, 290, 294, 298?\n\"Answer: 4*p + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -176 + 1006\/3*t + 2\/3*t**4 - 18*t**3 - 142*t**2 = 0.\nAnswer: -8, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 75492 - 44232 = 0. What is the ten thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 - 3*w**2 + w**2 + (-6*w + w + 2*w)*(4 - 3 + 2)*(6*w - 4*w + w).\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) -2\/9 (c) -0.084\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 7*k - 8. Let n be u(8). Let y = n - -17. Suppose -4*q = -y - 3. Calculate the remainder when 23 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = o, 3*o - 22 = -2*o + 3*p. Let k be 3 - (-3)\/(-4)*4. Solve -o*j + k*j + 4*g + 19 = 0, -4*g + 8 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1438 and 17125861.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2163 > -5572\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(80)*1 + -1.\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l + 189*l - 50*l - 51*l - l**2 - 43*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {w: 1, b: 3, j: 3, i: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or 1\/39?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -13, -53 in decreasing order.\nAnswer: 0.5, -13, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02045 and 0.2.\nAnswer: 0.22045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 889*t - 4. Let o be x(2). Suppose 19*w - o - 88 = 0. Let i be (-4 + 2)\/((-2)\/14). What is the highest common factor of i and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**5 - 81*i**4 + 3*i**3 - 7*i**2 - 9*i - 127?\nAnswer: -240*i**2 - 1944*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoo when three letters picked without replacement from laelloall.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54894 and 9149.\nAnswer: 54894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 53\/((-318)\/30)*2\/(-10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 602 = -41*k + 110 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.2318?\nAnswer: -0.1159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*t)*(-t**4 + t**2 - t**2) - 13*t**5 + 14*t**4 - 14*t**4.\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-81)\/(-9) + (-5225)\/583. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/19, -5, 0, 1\/46, -7\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*4\/(16\/(-10)). Suppose 5*q = 4*c + 4*q - 79, -5*c - s*q = -80. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((2 - 10 - -9) + -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.27384 + -21.274. Let g = -2 - l. What is g rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/1*(-3)\/105*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54, -57, -62, -69, -78, -89, -102?\n\"Answer: -v**2 - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cct when three letters picked without replacement from {t: 5, c: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 122. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62792200 rounded to the nearest 1000000?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1068 and 106444.\nAnswer: 319332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16328 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 33230 (base 4) to base 13\nAnswer: 5c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-10 + (0 - (-3 + -7))) - 5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4659\/14 = 333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*q + 2529 = 143*q + 3*b, -2*q - 4*b = -1020. Calculate the highest common divisor of q and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s. Let g(b) = 2*b + 18. Let l(d) = -d - 8. Let h(y) = -4*g(y) - 9*l(y). Let p(x) = 5*h(x) + 3*r(x). Let c be ((-1)\/2)\/(1\/2). What is p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**2 - 8*p + 53. Let y(x) = -x**2 - 2*x + 8. Let b(n) = 3*o(n) - 12*y(n). Let h(c) = -2*c. Calculate h(b(d)).\nAnswer: 6*d**2 - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from jerore?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 17\/4776612?\nAnswer: 17\/4776612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 0 + ((-1)\/10 - (-1227499)\/490). What is d rounded to the nearest 10?\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9502 is divided by 387.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/2 - 8145*u**3\/2 + 21350451*u**2\/2 - 15800042899*u\/2 - 2906987902764.\nAnswer: (u - 2803)**3*(u + 264)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1622108 by 5.\nAnswer: 1622108\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 2:18 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2452993 is divided by 153311?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 7. Let n = 10 + z. Let y(l) = -l**3 + 5*l**2 + 6*l + 7. Calculate y(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.795g in milligrams?\nAnswer: 8795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**4\/5 + 46*y**3\/5 + 19*y**2 + 48*y\/5 = 0.\nAnswer: -1, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**6\/42 - 2*r**5\/7 + 3*r**4\/28 + 4*r**3\/3 - 10*r**2\/7 + 76. Suppose l(t) = 0. What is t?\nAnswer: -10, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50598.\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 8 - 19 - 3*q**4 + (-q**2 + q**3 + q**2 - q**2)*(-2*q + 4*q + 0*q) as b*q**3 + y*q + x*q**2 + c + i*q**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 662520 = 4*x, 4*x = 9*x - 3*p + 828172. Let f = x + 23851123\/144. Find the common denominator of 131\/72 and f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848 is divided by 77.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**3\/3 + 4*j**2 + 5*j + 3. Is 9 a factor of h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 96 (c) 2 (d) 0.4 (e) -16 (f) -79.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + z = 51, 2*x - 4*z + 33 = -27. Let j be ((-2)\/2)\/((11 - 5)\/x). What is the second derivative of 4*l**j - 21*l - 7*l**4 + 2*l wrt l?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j - 3*j + 0*j + (-3 + 6 - 2)*(-1 + 1 + j) + 5*j - j - 2*j + (-18 + 181 + 14)*(7*j + 27*j - 4*j) + 2*j + 3*j - 4*j as n + x*j and give x.\nAnswer: 5315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 828*a + 71102.\nAnswer: -2*(a - 487)*(a + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -52, -104, -150, -184, -200?\n\"Answer: r**3 - 3*r**2 - 50*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - (0 + sqrt(612) - sqrt(612))*6 - sqrt(612) - (sqrt(612) + (sqrt(612)*-1)**2 + 2 + sqrt(612))) + 6*4*sqrt(612)*1 + 3 + 3.\nAnswer: -608 + 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-5)\/((-30)\/142). Let m = j - 69. Sort 3, m, 45, -3 in increasing order.\nAnswer: -3, m, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 841*a**4 - 1449*a**2 + 733. What is the second derivative of y(s) wrt s?\nAnswer: 20184*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9897 + -8761. Solve 1131*z - 20 = c*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(91) + sqrt(91)*-3 + sqrt(91)))\/(4*sqrt(7)*-5)*-1 + -4.\nAnswer: -4 + sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -268, -226, -154, -46, 104, 302, 554, 866?\n\"Answer: l**3 + 9*l**2 + 8*l - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6695 = z + 5*q + 6707, 0 = -5*z + 5*q + 30 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 207 - 207.91. Let v = h + -0.09. Let n = 22\/5 + -4. Which is the nearest to v? (a) n (b) -0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 4:41 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.25 - -0.25. What is the third biggest value in -4, 0.04, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 8. Let x(j) = -4*j - 40. Let i(a) = 5*d(a) - x(a). Let s(m) = -76*m**2 - m. Give s(i(z)).\nAnswer: -76*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6395330.375 plus 6.42?\nAnswer: 6395336.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*b + 22 = 0, -22*v + 26*v = -3*b - 29 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 23. Determine g(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 409 and 143830576?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5830.53 centuries?\nAnswer: 583053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3719 + (4 - 0)*-1. Suppose 10*z = 5*z + m. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5574?\nAnswer: 2, 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -123821*f - 2. Let u(r) = r. Give u(g(s)).\nAnswer: -123821*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564 is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1076135 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 2475*q**2 - 2454*q - 14832.\nAnswer: -3*(q - 824)*(q - 3)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482 a factor of 48922702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840 + 339 = 3*s. List the prime factors of s.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5\/7 + 108*s**4\/7 + 2804*s**3\/7 + 8868*s**2\/7 - 26560*s\/7 + 2112 = 0. What is s?\nAnswer: -12, -7, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -920, -3116, -6754, -11816, -18284, -26140, -35366?\nAnswer: -45944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**4 - 23*g + 10. What is the derivative of d(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0783801 times -4\nAnswer: -0.3135204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 510860845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 9. Suppose 4*l = 3*x - h - 116, -4*x + 168 = 4*l. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 7.8. Let q = d - 7.4. Let g = -6 - -4. What is the closest to g in q, 2, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -410, -817, -1224, -1631, -2038, -2445?\nAnswer: -2852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-1647))\/(9\/18)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from dddgdgdgdg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 105284592 a multiple of 4172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 502\/771 - -4\/257. Let x = -12.7 - -14.7. What is the nearest to q in 3\/2, x, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**1)*l*(l*l*l**(2\/19))\/l*l*l**1\/l*(l**(2\/25)\/l)\/l*l)**(-36) assuming l is positive.\nAnswer: l**(-71568\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 5)*(-1 + 28\/2). Let m = h + -10. Suppose m*c = c + 154. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + c + 0*c - 505 = 0, 2*l - c = 503. Let v = -639 - -465. Let r = l + v. Is 39 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 2*u**3 + 0*u**2 - u**2)*(-22 + 22 - 5*u**2).\nAnswer: -5*u**5 + 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*j + 104. Let d be (3\/2)\/(39\/j). Suppose -x - 8 = 3*q - q, 20 = 5*x - d*q. Solve 0 = x*w - 7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 7 + 3 = 0. Solve -4*s - 3*h + f = h, 2*s + 5*h = -7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-2))\/(126\/(-504)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 204868689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -225\/550652?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3286 - 3288. Let d = -6.1 + 6. Which is the nearest to 1\/4? (a) 0 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2262 - 1?\nAnswer: -2263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6414484 millennia?\nAnswer: 641.4484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 146. Let i = n + 116. Let g(o) = o**3 - 7*o**2 + 6*o + 5. Determine g(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28181, 56362, 84543, 112724, 140905, 169086?\n\"Answer: 28181*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 21 + 72 + d**2 - 30.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, -12, -22, -34, -48?\n\"Answer: -w**2 - 5*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r**2. Let c(i) = -5467*i - 38. Give c(k(z)).\nAnswer: 43736*z**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2256888 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-190)\/45 + (-4)\/(-18). Let n(i) = -5*i - 4. Let q(a) = 5*a + 3. Let c(p) = -4*n(p) - 5*q(p). Is c(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6*m - 450. Calculate the greatest common divisor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4957, -4958, -4961, -4966, -4973, -4982?\n\"Answer: -x**2 + 2*x - 4958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 240393841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4901999299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 12*z - 13*z - 4 = 0, -2*z = -g - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94731800?\nAnswer: 2, 5, 473659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11671239479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 + -102. Let q = y + 29.3. What is the nearest to 0 in q, -1, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -5 (c) -0.691\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 698 + 22 = 9*l. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2009*m - 3914*m + 286*m.\nAnswer: -5637*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -318*a*g**3*h**2 - 138*a*g**2 - 2*g**3*h - 2*g**3 - 5*g*h**2 - 1746*h wrt a?\nAnswer: -318*g**3*h**2 - 138*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x = -41*x + 1520. Which is the second biggest value? (a) 1\/3 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14288*a*m**3*w**2 - 2*a*m**3*w - 2*m**3*w + 8*m**2*w**2 - 456*w**2 with respect to a.\nAnswer: 14288*m**3*w**2 - 2*m**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120355.029816 + -120354. Let m = r - 1.03. Round m to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43589361300 to the nearest 1000000.\nAnswer: -43589000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + 0*h**5 - 3*h**5 + (-4*h**4 - h**4 + 4*h**4)*(h - 7*h + 15*h).\nAnswer: -11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1603 - 400. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 12*g + 25. Does 9 divide d(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*c + 9 = -3, 0 = -5*u + 4*c + 12. Let a be (3\/2)\/((-32)\/((-2560)\/(-60))). Sort u, 7, a in decreasing order.\nAnswer: 7, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 62, 108, 130, 104, 6, -188, -502?\n\"Answer: -4*n**3 + 24*n**2 + 2*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90329?\nAnswer: 59, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + m**2 - m**2 + 2*m**3)*(-m - 5*m - m).\nAnswer: -14*m**4 + 21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z + 15. Let l be t(-3). Put 3, l, -4 in ascending order.\nAnswer: -4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -767, 0.1, 0.01375?\nAnswer: 0.01375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -1772, -3986, -7086?\nAnswer: -11072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1541068 is divided by 6189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4 - 6. Let b be g + 4\/2 + 1. Solve 2*c + 5*y = -4, 3*c - 4 = b*c + y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + 1. Suppose y + 1 = 5*g + 25, 2*g = 3*y - 20. Suppose -p = -y*h + 4, -p - p + 5*h + 4 = 0. What is the greatest common divisor of k and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -26, 15\/11, -592 in ascending order.\nAnswer: -592, -26, 3\/4, 15\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6\/23393 + -15065146\/210537. Let m = -214\/3 - f. Which is the biggest value? (a) m (b) 2 (c) 3\/5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152682?\nAnswer: 2, 3, 25447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7.3. Let y = -28 + 83\/3. Which is the biggest value? (a) 1\/3 (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/96 and 83\/408?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -131123321333 (base 4) in base 11?\nAnswer: -43a0561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94 and 90913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -10*z - 1. Let g be r(12). Let j be g\/(-6) - 8\/48. Suppose 0 = 3*m - 0*m - 12. Solve j = -n - m*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1889988 divided by 16.\nAnswer: 472497\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*j**2 + j**2 + 14*j**2)*(0 + 2 - 3)*(5*j**2 + 12*j**2 - 5*j**2).\nAnswer: 192*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m + 29*m + 23*m - 9*q - 112 = 0, q = -12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-200)\/(-48) + 3)\/((-230)\/345).\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 936 - 1\/2*z**2 + 1871\/2*z.\nAnswer: -(z - 1872)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3 - 18 = -4*r, -2*v - 9 = -5*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.09 - 0.09. Let p = q + -20. Let w = p + 11.01. Which is the third smallest value? (a) w (b) -1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 66979154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -16 + 18 + -10 + 8 + -8\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22154\/3 + -7384. Put 18\/13, 4, m, 2 in descending order.\nAnswer: 4, 2, 18\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kce when three letters picked without replacement from eckwe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 187*z. Let s(k) = -2*k + 71. Calculate p(s(q)).\nAnswer: -374*q + 13277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**4\/21 - 46*i**3\/63 - 11*i**2\/21 - 109. Factor o(j).\nAnswer: -2*j*(j + 11)*(2*j + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4853648 divided by -61.\nAnswer: 79568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.28522 years to decades.\nAnswer: 5.428522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -17 = -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8239115?\nAnswer: 5, 53, 31091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 66.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -1 + 1\/2*n**2 - 3*n. List the prime factors of s(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*x + 7*f + 12, -x + 3*f + 19 = 0. Solve 0 = x*d - 137 + 165 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2580 by -60.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -25, 5*u - 5*c - 2116 = -2176 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96355422*b + 96355422*b + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2850 = -171*g + 218*g - 142*g for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24194 (base 10) to base 11.\nAnswer: 171a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158714.6 litres to millilitres.\nAnswer: 158714600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 6*r**2 + 5*r + 15. Let u be l(7). Let c be (13\/(-3))\/(5\/30). Let t = -79\/3 - c. Which is bigger: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4477790.803 to the nearest one thousand.\nAnswer: -4478000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-276)\/27 + 10)*-36. Solve a = -17*x + 13*x - 4*y, -4*x = -4*y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 9*f**2 + 5*f + 11. Let k be d(8). Let a = k - -19. What is the smallest common multiple of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2. Let g(i) = -1595263*i**2. Give p(g(c)).\nAnswer: -5089728078338*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4499 is divided by 319?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -12*j + 132. What is the remainder when j is divided by (-2)\/2 + 9 + 33 + -51 + 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, -1, -0.3, -52, 0.5 in increasing order.\nAnswer: -52, -1, -0.3, 0.5, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -9 + 3*u**3 + 11*u**2 + 22 - 11*u - 4*u**3. Let s = 3371 - 3361. Calculate the least common multiple of 57 and r(s).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 2:32 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*j + j**2 + 0 + 0.\nAnswer: j**2 + 46*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 + -34 + 29 - -9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/23 in -0.2, -8\/7, -0.5?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -198568.8809 + 198560. Round o to one decimal place.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.11.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from {z: 1, s: 2, q: 2, i: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = 2*a, -3*c - 2*a + 117 = 0. Suppose -4*y + 4 = -16. Suppose 3*o - y*u - c = 16, 9 = -3*u. What is the remainder when 26 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21012120110 - 10102?\nAnswer: 21012110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 59 (b) 8 (c) 3\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 23 = -4*t, -q + 3*q - 4*t = -2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*f)*(-5 - 13 + 6).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.031 - -0.031. What is the second biggest value in 0.33, i, 4?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g + 139 - 115 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1257 (b) -0.9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 480 + -484. Sort m, -23, -5, -0.3 in decreasing order.\nAnswer: -0.3, m, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t + 19. What is m(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4*q - 74, 3*c - c + q + 83 = 0. Let t = c + 48. Let k = -2 - -2. Solve -t*s - 1 - 4 = k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 5. Let n(a) = -a + 2. Let z(r) = 5*n(r) + 3*u(r). Suppose 11 = 4*s - 9. Determine z(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 8*y**2 - 47*y - 9. Let w be d(12). Let m be (w\/5 + 1)\/(6\/15). Solve 10 = -m*b + 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-24))\/((-15)\/20)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 2*q + 4. Let l be d(3). Let j = -47 + 90. Let h = l + j. What is the remainder when h is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 9*o + 13. Let f be a(9). Let x be f\/7 - (-2)\/14. Suppose 2*r - j + 26 = -x*r, 3*r + 5*j + 8 = 0. Let y(g) = 2*g + 7. Determine y(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*w**3 + 4)*(-4*w - 2*w + 2*w) + 4*w**4 - 5*w**4 - 2*w**4.\nAnswer: -15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -15. Find the second derivative of -4*a**2 - a - a + 0*a**2 - m*a wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3 - 2) + -2)*(8 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**2 - m**4 + 6 - 6 + m**2 - m**2 + m**4 + (5*m**3 - 4*m**3 - 2*m**3)*(m + 0*m + m) + 2*m**2 + 14*m**4 - 15*m**4 + 4*m + 0*m.\nAnswer: -3*m**4 - 4*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 44\/2171?\nAnswer: 44\/2171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 3*k - 4*q + 31 = 0, -3*k + 3*q = 21. Let c be (1 + 15\/(-9))\/k. What is the second smallest value in -2, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 6*s - 108 = 22*o, -5*o = -4*s + 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/5 in 0.04, -2\/11, -8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o**3 + 3*o + 23*o**3 - 12*o**3 in the form r*o + p*o**2 + d*o**3 + m and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1674 divided by 279.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p - 52. What is the remainder when o(-11) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -7*i**4\/12 - 103*i**2. Let v(t) = -12*t**2. Determine v(y(l)).\nAnswer: -2352*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 68712.86 nanograms in milligrams?\nAnswer: 0.06871286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(-5)\/u)\/u*u))\/u*u**7*u*(u\/(u\/u**8))\/(u**(2\/13)*u) assuming u is positive.\nAnswer: u**(271\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooor when four letters picked without replacement from rrororrroro?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -345 + 86. Suppose -7*w + 3*w + 2262 = -2*z, 0 = -3*w + 5*z + 1714. Calculate the common denominator of 79\/8 and (-74)\/o - w\/84.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7681546 by 298.\nAnswer: 25777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 19. Let n be i(-12). Sort -3\/5, n, -4 in ascending order.\nAnswer: n, -4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 70399*x\/2 + 70397.\nAnswer: (x - 70397)*(x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2054, 4108, 6162, 8216, 10270, 12324?\nAnswer: 14378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.139 + 0.039. Let g = 0.1 + y. Let u = -0.3801 - -0.3901. What is the second smallest value in g, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i\/(i**(-2\/21)\/i)))\/i)\/i**(-2))**(-22)\/((i\/(i\/i**(-1)))**43*(i**0*i)**(-2\/45)) assuming i is positive.\nAnswer: i**(21149\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(z**2 + 5*z**2 - 5*z**2)*(0 + 4 - 2).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m + 7. Let l be g(-1). Let s be l\/(-18) - (-64)\/6. What is the units digit of 16*3\/(15\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -12*j - 336. Let m = 36 + j. Solve -2*g = m*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 22*g**2 - g + 11. What is the remainder when 85 is divided by y(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8607, -17236, -25881, -34548, -43243, -51972, -60741, -69556?\n\"Answer: -k**3 - 2*k**2 - 8616*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(99) - ((sqrt(99) - (sqrt(99) + -1))**2 - sqrt(99))) + sqrt(99) - 5*((-2*sqrt(99))**2 - sqrt(99)))*-6.\nAnswer: -144*sqrt(11) + 11910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - l + 13. Let g be a(6). Let f(p) = p**2 + 25*p - 56. Let j be f(g). Calculate the highest common divisor of 165 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -34546 take away 3?\nAnswer: -34549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5155, -5183, -5213, -5245, -5279, -5315, -5353?\n\"Answer: -i**2 - 25*i - 5129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12064 + -12053. Solve -d*x = -103 + 26 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -528266 (base 15) to base 8\nAnswer: -16763247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -498192 divided by -48.\nAnswer: 10379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:05 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20874, 83505, 187890, 334029, 521922?\n\"Answer: 20877*z**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3819096 divided by 141448.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 879.9407 decades in millennia?\nAnswer: 8.799407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4661.576 centuries to months.\nAnswer: 5593891.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**3 + 15*i**2 + 3984*i - 34884 = 0.\nAnswer: -38, 9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, -6, -48, -128, -258, -450, -716?\n\"Answer: -2*m**3 - m**2 + m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 132. Let d be (-20498 + -2)*(h + 0). What is d rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/55021176 and -121\/630.\nAnswer: 275105880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -322020303022 (base 4) to base 9\nAnswer: -31607801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*q**3 + 5*q - 5*q - q**2 - 3*q**3 to r + w*q**3 + v*q + l*q**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 35 = -3*z, 5*c + 3*z = z + 35. Suppose -c = -3*j + 7. Calculate the common denominator of 27\/14 and ((-515)\/(-180))\/(2\/j).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 71 = -23. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3 = -2*t. Let n be 6 + t - 2*1. Suppose 0 = n*i + 15 - 110. What is the remainder when i 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 m and 2 a when three letters picked without replacement from maaakkmakkkma.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 30921474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-44)\/30)*20\/30.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 - 12*m**2 - m. Let l(p) = 2*p**2 + p. Let n(w) = -4*l(w) - r(w). Calculate n(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, z: 2}. What is prob of sequence zz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1 + -2 - sqrt(448)*-2)*-5.\nAnswer: -85*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 * -299731.71.\nAnswer: 659409.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 654 + -621. Calculate the remainder when 324 is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24800216.\nAnswer: 2, 7, 442861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**3 - 13*t**2 + t - 7. Let q(r) = -7*r**3 - 11*r**2 + 2*r - 8. Let h(w) = -3*g(w) + 2*q(w). Give h(-17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415 = 447*y - 1622 - 198 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + sqrt(396) + 1)**2*5 + (sqrt(396)*-1 + 0 - sqrt(396))**2.\nAnswer: 120*sqrt(11) + 9509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5862)\/14655*25\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128624 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 5, 2, -5, -375780 in descending order.\nAnswer: 5, 3, 2, -1, -5, -375780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/19 - 22*q\/19 + 20\/19.\nAnswer: 2*(q - 10)*(q - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Suppose 0 = -o*y - y - 8. Let a be 1\/y - (-100005)\/10. Round a to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 670, 677, 690, 709?\n\"Answer: 3*z**2 - 2*z + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77.1 - -81. Let q = 4 - g. Let o = -0.77 + -1.23. Which is the nearest to q? (a) 3\/2 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -u - 4*f - 52, -2*f = u + 46. Let i be (u\/10)\/(2\/(-70)). Suppose -i = -5*s + 108. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201974967 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -869190, -869200, -869224, -869268, -869338, -869440, -869580, -869764?\nAnswer: -869998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 5*v + 4*v)*(4*v - 5*v + 3*v) + (5*v - v - 7*v)*(1 - 1 + 2*v) - v**2 + 0*v**2 + 3*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -858*z - 642*z = 143*z - 241*z - 127582 for z.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 0*m + 15. Suppose m*d = 6*d + 3*a - 13, -2*d - 5*a + 23 = 0. Solve 0 = -0*t + t - d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(63)\/(sqrt(54)\/sqrt(6)).\nAnswer: -4 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 18*y = 2240. Let z = 196 + y. What are the prime factors of z?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210230?\nAnswer: 2, 3, 5, 7, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -4, 0.3, 2\/3, -1, 0.1372, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(1 - (-2 + 4)). Solve 0 = -w + l*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y - 4*y**4 + 5*y**4 + 9*y + y**4 + 3*y**4 + y**4 + (2 - 3 - 1)*(-3*y**4 + 2*y**4 + 0*y**4).\nAnswer: 8*y**4 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**2 - 2*d - 1. Let t be (-1)\/2*-7*6. Let s be (-15)\/t - (-2)\/(-7). Let p be q(s). Which is greater: p or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**9*u\/u**(-27))**(-7\/3))**(-24))**(-14\/11) assuming u is positive.\nAnswer: u**(-29008\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4*2 + (-3034)\/369\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 2:23 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 - 3*v + 3*v + (-6*v + 75 - 50 + 0)*(-2*v + 6*v - 12*v).\nAnswer: 45*v**2 - 200*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**3 + 3*q**2*t + 203*q**2 - q*t - q + 133 wrt q?\nAnswer: -6*q + 6*t + 406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1110 + -788. Calculate the greatest common factor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192)*1 - sqrt(192)) + 0 + sqrt(192))*-3 + ((sqrt(192) - (sqrt(192) + 0 + sqrt(192) + sqrt(192) + 1))**2 + sqrt(192))*-5.\nAnswer: -3845 - 248*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/1 + 2)\/((-100)\/350). Let d(a) = 5*a + 82. What is the remainder when d(g) is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -118529.181 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 3*m**2 + 0*m**2 - 3 + 2. Let g be d(-1). Suppose g*i + a + 53 = i, 0 = a. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/3708 and 65\/362916.\nAnswer: 37380348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 227*v**2 + 7 + 2 - 130*v**2 + v to the form b + k*v**2 + f*v and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*v + 3*v + 5*r, -16 = -3*v - r. What is the second derivative of -5*z + 5*z**4 - 3*z**5 + 11*z - 5*z**v wrt z?\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 1065 + 1055 = 0, -9 = -5*o + 2*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 684300 and 1500?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + q**2 + 2. Let b be f(0). Sort -4, b, 4 in increasing order.\nAnswer: -4, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) -3 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 59092 divided by -22\nAnswer: -2686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -5, -2, 2\/13 in ascending order.\nAnswer: -5, -2, -1\/8, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 3, 5, -1, -1\/6.\nAnswer: -1, -1\/6, 0.08, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2 - 4*m + 7 - 8. Let j(x) = 4*x**2 + 3*x + 10*x - 27*x + 14*x. Calculate j(i(o)).\nAnswer: 64*o**2 - 32*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728 = -10*a - 4*a. Calculate the highest common factor of a and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 0 + 0)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 100 (b) -5.5 (c) -5 (d) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-1512)*7)\/(10\/(-12)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + n**3 + 0*n**3 + (-2*n - 2 + 2)*(-5*n + 5*n - 3*n**2))*(-164 - 204*n + 164).\nAnswer: -1020*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1111\/12? (a) -67 (b) 4 (c) 3 (d) -0.5 (e) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17693671 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -170 or -171?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 567 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 16. Let s be q(8). Let g be ((-10)\/4)\/(s\/16). Suppose 0 = -g*d - 25, -3*j = -0*j + d + 321005. Round j to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*t + 28 = 0, 4*u = 2*u - 3*t + 17. Find the first derivative of s + 1 - s - u*s**2 + 2 wrt s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-266)\/(-133))\/((-12)\/162)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-16)*(0 + 28)*(-36)\/(-21)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -313323 (base 5) to base 4\nAnswer: -2203133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and -0.154.\nAnswer: 2.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 - 6*s**2 - 5*s + 7. Let v be f(5). Let y be v\/(-60) + (-2)\/15. Let l = y - 11. Let p(i) = -i + 5. Calculate p(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1198 + 0.16.\nAnswer: -1197.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*b + 5 - 1 - 39*b.\nAnswer: 5*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 + 10*r + 9. Give o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 8) + -10 - (39 - 25)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2525825.\nAnswer: 5, 71, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 88938834 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**6\/120 - 7*d**5\/60 + 5*d**4\/24 - 14*d**3\/3 + 954*d**2. Determine p(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f**3 - 16*f**2 + 42*f - 140. Determine u(3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**7\/168 - 7*u**6\/40 + 29*u**5\/40 + 145*u**4\/24 + 109*u**3\/8 + 115*u**2\/8 + 4*u + 29. Solve n(q) = 0.\nAnswer: -23, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 3. Which is bigger: -0.04 or b?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, r: 2, k: 7}. What is prob of sequence wr?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*m + 11*g + 18 = -86*m, -4*m - 2*g - 18 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111100011 - -1001110110011011101?\nAnswer: 1001101110011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 36*i + 250 + 51 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*(sqrt(27) - (sqrt(27) - sqrt(27)*-2)))\/(-2*sqrt(900)))**2 + -5 + 0.\nAnswer: 118\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19106 or -19099?\nAnswer: -19106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-10 - -12) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 376 or 385?\nAnswer: 376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukas when four letters picked without replacement from {a: 1, u: 2, d: 1, g: 1, k: 1, s: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90962*i**3*q**2 + i**3*q + 13*i**2 - i*q - 1700*i + 2*q**2 wrt q?\nAnswer: 181924*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(132)\/(-1*sqrt(432)) - (2 + sqrt(1331) + 2))*-2*4)**2.\nAnswer: 17152*sqrt(11)\/3 + 799271\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 18 = -53. Suppose -3*x + 6 = t*u - 26, 5*u + 25 = 0. Let b(f) = -2*f. Let d be b(-3). Solve 5*a = w - d*w - 35, -3*a + x = -5*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h**3 - 20*h**2 + 119*h - 235. List the prime factors of j(21).\nAnswer: 58271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-50) + (365 + -345 - 1506\/75).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/(-108))\/(2 - -5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-4)*80\/270. Suppose -5 = -5*z - 4*t, -t + 4*t + 4 = 4*z. Suppose 8*f = z + 7. Which is bigger: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 + (-1 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88134.5 to the nearest one hundred.\nAnswer: 88100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*r**2 + 643*r**3 - 241*r**2 - 225*r**2.\nAnswer: 643*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/56*0)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 plus -704?\nAnswer: -757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4079.\nAnswer: 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-9\/5))**(3\/11)*o*o**(-5\/3)*o*o**(-1\/29))**(1\/50) assuming o is positive.\nAnswer: o**(-919\/239250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*m - 1000 = 40*m. What is the remainder when (-59)\/118*(-50)\/(-1 + 2) is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716859935 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 the greatest common divisor of 215 and 316735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010000000001101010 (base 2) to base 6.\nAnswer: 20351054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/192520 and -11\/269528.\nAnswer: 1347640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 682 = -k + 6793. What are the prime factors of k?\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - (12 + (10 - 16))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192 - 195 - (-1 + 12) - -26.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**19*j))\/j*j*j**(-26))\/((j*j**(-14)*j)\/(j*j**(-9))) assuming j is positive.\nAnswer: j**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = n + n - 7, 4*n + b - 17 = 0. Suppose 51 + 249 = n*q. Calculate the greatest common factor of 15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11750 + 13*b + 11777 - 23590.\nAnswer: 13*b - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 32281 and 32285 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021847323 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1 + 0 - 2 + 0 - n**2. Let f(o) = 8*o**2 + 6. Let r(c) = f(c) + 6*k(c). Let j(t) = 12*t**2. Determine j(r(w)).\nAnswer: 48*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 20. What is the closest to 12 in -4, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57463, -56231, -54179, -51307, -47615?\nAnswer: -43103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 122010012 (base 3) to base 15\nAnswer: 3a6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 (base 16) in base 5?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 8 = -0*y. Suppose -y = -0*j - j. Solve -q - j*q + 6 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21506 + -2026.\nAnswer: -2026.21506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a = -90. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 - 36. Let l be (-18 - 1)\/((-1)\/(-1)). Let t = 42 + l. What is the remainder when p is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91263 and 12.\nAnswer: 365052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**4\/12 - 5*b**3\/2 + 29*b**2\/2 + 20*b. Let n be h(13). Solve -2*m = n*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 + 715 = 146*d - 625. Solve -d - 11 = -18*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/((sqrt(240)\/sqrt(4))\/sqrt(6))*2)**2 - ((1*sqrt(209)*2)\/sqrt(11) + 3)**2.\nAnswer: -12*sqrt(19) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7029 (base 15) in base 9?\nAnswer: 35413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 13 = -2*c + 5*c, 4*j - 16 = 5*c. Let k = -17 + 22. Let u = j + k. Let b(r) = -r + 3. Calculate b(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - (sqrt(1782) - (sqrt(1782) + 2*sqrt(1782))))\/(sqrt(11) + 2*sqrt(1100) + sqrt(1100)).\nAnswer: 19*sqrt(2)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**5\/130 + j**4\/78 - 3*j. Factor v(z).\nAnswer: 2*z**2*(z + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 - (5 + (-209 + 201 - (0 - 0 - 6)))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 0 - (34 - 40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 7:50 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 670*p**3 + 6*p**2 + 2*p + 2. Determine k(-1).\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + z - 25, 3*z - 149 = -134. Suppose 4 = 4*v + 4*o, -5*v - 8*o + 4*o = -2. Put s, v, 0, -8 in increasing order.\nAnswer: -8, v, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11*g - 1. Suppose -3*d = 4*r - 5 - 37, 0 = r - d - 14. Let p = 18 - r. What is the remainder when f(1) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 5, q: 4}. Give prob of sequence ll.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v. Let j(u) = -3*u**2 - 1. What is j(c(b))?\nAnswer: -12*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f = 22*f - 18 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 833*r**5 - 2307*r + 947. What is the first derivative of h(b) wrt b?\nAnswer: 16660*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125 - -220. Let x = i + -90.1. Let l = -0.9 + x. What is the nearest to l in -1\/2, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -236*d**2 - 129*d. Let s(q) = -17*q. Give l(s(g)).\nAnswer: -68204*g**2 + 2193*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-9\/2)*c\/c**7*(c\/c**(4\/7))**(1\/32) assuming c is positive.\nAnswer: c**(-2125\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/10716 and -33\/950.\nAnswer: 267900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c. Let f(w) = 31386*w**2 - 2. What is r(f(l))?\nAnswer: 31386*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9653700855.\nAnswer: 3, 5, 31, 79, 317, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c\/(c**(-5)\/c))*c)**(1\/29) assuming c is positive.\nAnswer: c**(-3\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -357822?\nAnswer: -357824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + 2.03. Let p = 0.16 - 0.2. Let w = p - -2.04. Is w less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6074392759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29638?\nAnswer: 2, 7, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 522965206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = m, 2 + 6 = -4*a. Let h(r) be the third derivative of 0*r**3 + 1\/45*r**5 - 1\/6*r**4 + 0 + 4*r**m + 0*r. Factor h(y).\nAnswer: 4*y*(y - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -286137 + 455837. Round a to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -4310?\nAnswer: 1\/862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.885 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 14, -45, 97, 3, -133 in descending order.\nAnswer: 97, 14, 5, 3, -3, -45, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 12) to base 14\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195\/28 - -54\/7. Let q = -1.59 + -0.31. Let v = -2 - q. What is the biggest value in v, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -11*h**4 - 6*h**3 + 4*h + 6. Let b(w) = 21*w**4 + 11*w**3 - 7*w - 11. Let s(r) = 6*b(r) + 11*z(r). Find the second derivative of s(j) wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -872*n**3*v + 6929*n**3 + 29*n**2 + 82*v**4 wrt v?\nAnswer: -872*n**3 + 328*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + 5. Calculate the smallest common multiple of b(3) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -2.5 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -492, -1102, -1956, -3054?\nAnswer: -4396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*56\/48*(-3)\/(756\/4248)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 25*m**2 + 45*m - 15. Let y be 22 - (4 + -6 + 2). Is q(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7623, 7675, 7751, 7839, 7927, 8003, 8055?\n\"Answer: -2*o**3 + 24*o**2 - 6*o + 7607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -43*s - 24*s + 77*s + 7. Give l(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/8*2\/3 - 1. Suppose z = -7*w + 37*w - 90. Solve w*l + 2*c + 1 = 4, 4*l - 5*c + 19 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4622 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97914*u**2 - 15*u + 97921*u**2 + 15*u - 195775*u**2.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.093 + -0.007. Round q to zero dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*k - 4, 0 = k - 2*k + 3*t + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -2*m - 1634 + 1653, -5*m + 1 = -n - 38 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x + 13. Let f(j) = 2*j + 3. Let d(r) = 18*f(r) - 4*l(r). Let b be d(-1). Let v be 2\/(b\/(-3*2)). Solve -2*n = 5*o - 26, 4*n - v = 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10620*m**4 + 25*m**3 - 14131. Let k(x) = -2655*x**4 + 6*x**3 - 3533. Let o(y) = 25*k(y) - 6*u(y). What is the derivative of o(s) wrt s?\nAnswer: -10620*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1186*w + 1173*w + 169 = 0. Which is the second biggest value? (a) -3 (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164164\/217395 + -2\/4831. Let n = 26\/45 + v. What is the common denominator of n and -8\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31692\/(-24453) + (-8)\/(-6) and 79\/156?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -10*n - 63. Let k be c(-9). Is 25 a factor of 28539\/k + 1*-7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2\/12 + 1\/6 + -10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-3)*(-26)\/(-39))\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27776446470 - 5.\nAnswer: -27776446475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46443120.50000042 - -46443120. Let q = o - -0.5. Round q to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 10. Suppose -3*d = 5*s + 24, -2*d - 26 = -76*s + 81*s. Let n(v) be the first derivative of 5*v**2\/2 + 19*v - 9. Calculate s*n(a) - 11*i(a).\nAnswer: 3*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 136.\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t. Let l(p) = -27*p**2 - 7*p + 7. Let n(i) = -14*i**2 - 3*i + 3. Let k(r) = -3*l(r) + 7*n(r). Give o(k(m)).\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*t + 476 + 858 - 14 = 0 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550 = -c + 3*t - 542, 11*c - 18 = -2*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 16. Suppose b + 157 = g, 0 = -o*g + b - 5*b + 499. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 106*m**2. Let b(d) = -91*d**2 - 10*d - 10. Let f(l) = -5777*l**2 - 636*l - 636. Let i(t) = -318*b(t) + 5*f(t). Give 5*i(o) - 2*w(o).\nAnswer: 53*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14611573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/8*(-76 - -68). Solve -7*j + 2 = a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = 95*z - 100*z. What is the remainder when z is divided by 3\/(((-4)\/36)\/(-1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118780932*q**2 + 118780932*q**2 - 5720*q**3.\nAnswer: -5720*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from iippiipi?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7277653021\/16008 - 454626. What is the common denominator of u and -14\/3?\nAnswer: 16008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 4*u**2 + 1. Let h(q) = -105*q**3 - 31*q**2 + 5. Calculate h(t) - 8*p(t).\nAnswer: -113*t**3 + t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 7*b**5\/30 + 58*b**2 + 13. Let n(h) = 35*h**2 + 1. Calculate n(m(a)).\nAnswer: 6860*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 57632250 divided by -1\nAnswer: -57632250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0) + 0 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -277 from -8.\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 957638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.50322m in nanometers?\nAnswer: 81503220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2064\/2752*(-2)\/75*-6.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 18*o + 14*o + 7 - o**3 + 8*o**2. Suppose -k + 10 + 5 = 2*g, k - 2*g + 1 = 0. Calculate the remainder when z(k) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 4*n**2 + 5*n + 4. Let s(b) = b**3 - 31*b**2 + 57*b + 26. Let v be s(29). What is t(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 12*l**2 + 18*l + 2. Let k be g(-16). Let s = k + -333. Calculate the highest common factor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(3\/2)*q)**(2\/53))**19\/(q**2*q*q**(-4)*(q\/(q*q\/q**(-1\/4)*q*q))**(-7\/5)) assuming q is positive.\nAnswer: q**(-3383\/1060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 40 = -41. Let h(w) = -7*w + 69. What is the least common multiple of 47 and h(a)?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4618 = 2737. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8583 - 8585. Which is the fourth smallest value? (a) 0.4 (b) 0.5 (c) t (d) 38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40053191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -430540, -860025, -1289510, -1718995, -2148480?\n\"Answer: -429485*z - 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1847\/6 + 309. Calculate the common denominator of l and 47\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 86 + -17?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 23. Let r = s + 60. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*d - 3*b + 20, 16 = d - 2*b. Let h be (0\/(-1) + 2)\/(d\/210). Calculate the greatest common divisor of h and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -429 - -429.4. Which is the fourth smallest value? (a) h (b) 1 (c) 0.11 (d) -4 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22691626?\nAnswer: 2, 167, 67939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11144 + -141?\nAnswer: 11003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1136, 4668, 10582, 18878, 29556, 42616?\nAnswer: 58058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18367183 - 0\nAnswer: -18367183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-96))\/((-2)\/(-8)) + (-158)\/(-3). Solve 9*i - 25 + s = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/121?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**3 - o + 1. Let c be (-2 + -1)*(-7)\/21. Let w be y(c). Put 2, -3, w in increasing order.\nAnswer: w, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-10))\/((-6)\/27 + (-388)\/(-1260))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 4*k**2 - 3*k + 2. Let b be q(-3). Is 1\/b - 43\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 10:09 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(156)*-1 - sqrt(156)) - sqrt(156))*2)\/((2*sqrt(132) + sqrt(132))\/sqrt(11) - 1*sqrt(1200)).\nAnswer: 22*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2077 + 4135. Suppose -4*l + 534 = v. Is (2 - 0)\/((-2)\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 3*d = 13*y + 9, 5*y + 13 = -d. Let c(k) = -3*k + 0 - 4 + 10*k - 3*k. Give c(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96600 and 22730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 3*t - 10 + 18, -j = 4*t - 11. Sort 20, j, -3 in ascending order.\nAnswer: j, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srmmsymyyqc. Give prob of sequence qys.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1188.5 - -1188.60001. Let m = -0.1 + t. Round m to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or -4933535?\nAnswer: -4933535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/8 (b) 0.3 (c) -1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 478052057, 478052059, 478052061?\nAnswer: 478052063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (sqrt(15) + sqrt(45)\/sqrt(3))\/sqrt(3))**2.\nAnswer: -270 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -1. Suppose -5*w = -u*w. Solve 4*f - 8 = -w*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 bigger than 152407\/14920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -5 - ((-170)\/6 - (-72)\/216). Let s(j) = 7*j**2 - j. Let d be s(1). Find the third derivative of -13*p**d - 1613*p + c*p**2 + 1613*p wrt p.\nAnswer: -1560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1227, -1230, -1235, -1242, -1251?\n\"Answer: -z**2 - 1226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.66560302 to one decimal place.\nAnswer: 64.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2187 - 2254. Let z be 1 - 135 - (0 + 0). Let k = q - z. What are the prime factors of k?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - 48\/(-32). Suppose 7*k = 3*k + w*z + 20, 5*k - z = 28. Suppose -2*v = -12 - k. Which is the biggest value? (a) 5 (b) -0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/1 + (1 - 0). Let r be 14\/(-7) - 491\/d. Let y = r - -72\/5. Which is the third biggest value? (a) 5 (b) y (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {g: 5, c: 2, x: 4, v: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.68995 centuries to millennia.\nAnswer: 6.868995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -243685 - -0.14?\nAnswer: -243684.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*w**2 - 62*w**2 - 42*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {r: 1, q: 1, u: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*6\/(-171)*-19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.27908389 to 2 decimal places.\nAnswer: 5.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.2. Let u = -0.4 - g. Let l be (2\/9)\/(2\/6). Which is the nearest to -1? (a) 2 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59 times -16?\nAnswer: 9.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, p: 8, n: 1, c: 5}. What is prob of sequence cnt?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1242 - 26 = -4*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4 = -4*x + 22, 4*c = 3*x - 20. Let f(d) = d**3 + 2*d**2 + 2*d + 1. Determine f(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 - -2 - 6) + -4 - -7) + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 12 + 5)*(343*n**5 - 1150 - 1141 + 2290).\nAnswer: -5145*n**5 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 22\/(-4))\/(69 + 5206\/(-76))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4 + 1*sqrt(3))**2 - sqrt(108)*-1).\nAnswer: -28*sqrt(3) - 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6171378 divided by 55598?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-44)\/16)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137820647 - 5.\nAnswer: -137820652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13412617*m**3 - 2*m**2 - 508600443*m?\nAnswer: 80475702*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (-1)\/(-2)*2. Let m be 3\/(-9) + 14\/l. Is 22 a factor of 60\/2 + -3 + m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 120. Is ((-34793)\/k)\/((-4)\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 + 1.25. Sort -1\/3, 0.1, f.\nAnswer: -1\/3, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1297, 4906, 10821, 19042, 29569, 42402, 57541?\n\"Answer: 1153*l**2 + 150*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 43\/2*o**2 + 41\/2*o = 0 for o.\nAnswer: -1, 2\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31, -71, -111?\n\"Answer: -40*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {d: 1, y: 1, p: 1, b: 1, l: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47907 or 47660?\nAnswer: 47907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-13))\/(a*a**(-20)) assuming a is positive.\nAnswer: a**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 106*h**2 - 526*h - 1146. What is l(-101)?\nAnswer: 975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 87*a + 777. Determine w(-5).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1402, 1923, 2432, 2923, 3390, 3827, 4228?\n\"Answer: -t**3 + 528*t + 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 9 - w**2 - w**2 + 9*w**2 + 6*w.\nAnswer: 3*(w - 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovo when three letters picked without replacement from nvnvononv?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -16, 256, 15, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**2 + 691*s + 169. What is u(173)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c**(-5)*c)\/c)))\/c)\/(c*c**20) assuming c is positive.\nAnswer: c**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49917*w**3 - 393*w**2 - 40161175 wrt w.\nAnswer: 149751*w**2 - 786*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 12) in base 4?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v + 3. Let n be 10\/(((-10)\/(-3) - 3)*-2). Let j = 17 + n. What is the units digit of l(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.28 + 0.28. What is the nearest to y in 4, -2\/3, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from txxtttt?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16471 + -16485. Let r = -6 - -6. Which is the nearest to r? (a) k (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 r when three letters picked without replacement from xxxjxxjxrrrrx.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, -2\/7, 3968, -1\/3 in descending order.\nAnswer: 3968, -0.11, -2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 9 = -2*p, 5*p - 6*l + l = 0. Suppose 0 = p*h + 52 - 64. Suppose -2*y - k + 29 = 0, -h*k = y - 9 - 9. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155 - 158. Let g(d) be the first derivative of -3*d**4\/4 - d**3\/3 - 3*d**2\/2 + d - 1. Let t be g(n). What is t rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 32177*c - 2 - 1.\nAnswer: -32177*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 2*c**2 + 3*c + 3. Let i = -7 - -10. Suppose 0 = -i*j - 4*k - 26, 3*k + 26 = -3*j + 5. Let r be o(j). Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10425557 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3530.89 + 3531. Which is the biggest value? (a) o (b) -0.4 (c) -156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (319*i + 11124 - 150*i - 166*i - 729)*(0 + 4 - 3)*(-1 + 2*i + 1) in the form u + a*i + n*i**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -11*q - 9. Let a be (-180)\/(-40)*(-2)\/q. Suppose -4*k = 0, -a*k + 234 = 3*p - 0*k. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m**2 + 23*m**2 - 12*m**2 to r + z*m + t*m**2 and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0916218714 rounded to 5 dps?\nAnswer: -0.09162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -35) + 34740\/(-1080)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.52469 - -30.16231. Round h to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 603263735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 45656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -612 or -2?\nAnswer: -612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 385000 rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 8*x**2 - x. Let p be f(8). Let y(h) = h**2 + 9*h + 10. Is y(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -15*c**2 + 274*c - 318. What is m(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145719266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*n - 24*n + 14*n**3 - 2 + 0 - 47*n**3.\nAnswer: -33*n**3 - 191*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109677483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.3 - 3. Let y(p) = -p - 2. Let q be y(-6). Let m be 3\/11*(-10)\/15. Which is the smallest value? (a) t (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1108*f - 1100*f + 80 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 596.365.\nAnswer: 178.9095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 3493 = -7*d. List the prime factors of d.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.3. Let k = -48.84 + -12.86. Let m = k + 61.6. What is the closest to 1 in -0.03, m, f?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/4754 and ((-4)\/40)\/((-4)\/18)?\nAnswer: 47540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 82 or 24?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1718 - 2562 - 2350 - 1820)*(-6*l + 0*l + 4*l).\nAnswer: 10028*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, o: 4}. What is prob of sequence odod?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-6)*(-15 - (-1764)\/120)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30249 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j**2 + j - 1. Suppose 0 = 3*p - y + 4*y - 54, 2*p + 5*y = 45. Calculate the remainder when p is divided by t(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 = 3*y, -y + 3*z = 2*y - 30. Let d be (-3)\/2 + y\/2. Let p = -2\/393 + 1316\/1179. Which is bigger: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 5*t**2 + 2*t - 8. Let c be f(5). Suppose 0 = -126*p + 130*p + 4*h - 20, h - 13 = -5*p. Solve -2*x + p*g - 4 = 6*g, c*x + 4 = 4*g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1032141131200 - 0?\nAnswer: 1032141131200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.3 - 10.8. Let o = -3593 - -3590. Which is the second biggest value? (a) 0.6 (b) 2\/3 (c) m (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 89. Let i(m) = -719*m + 494*m + 225*m - 24*m**2. Calculate i(z(b)).\nAnswer: -24*b**2 + 4272*b - 190104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 - 6*c + 28. Let z be i(3). Let d(s) = s**3 + 9*s**2 - s + 7. Let r(w) = -3*w**3 - 26*w**2 + 4*w - 22. Let j(q) = z*d(q) - 3*r(q). Give j(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -2) + (75 - 84) - -6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -31*u - 3. Let q(l) = -94*l - 10. Give -5*q(d) + 16*t(d).\nAnswer: -26*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -11*c**8\/336 - c**7\/30 + c**4\/3 - 5*c**3\/3 - 9*c**2 + 2*c. Find the second derivative of l(r) wrt r.\nAnswer: -220*r**3 - 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-18))\/((-4)\/464*1) and 2\/(-5) + 1686\/240.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*t = -314*t + 5, -5*h = 5*t - 48775. Does 203 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 1 = -2*n, 51*n - 47*n + 5 = f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/24 and 13\/31260.\nAnswer: 62520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**4 - 664 - 7*s**4 + 651 + (-10*s - s + 12*s)*(-2*s**3 - 2*s**2 + 2*s**2) to the form t*s + j*s**3 + o*s**4 + x*s**2 + n and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 13542*i + 108144.\nAnswer: 3*(i + 8)*(i + 4506)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from kssssssnssnsskkskuk.\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 2, 5, -45690?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6 + 2*w - 4 + 0. Suppose -2*y - 16 = -4*y. Let z(a) = -5*a + 57. Let v be z(12). Let r(d) = 6*d + 5. Calculate v*r(g) + y*l(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9335825?\nAnswer: 5, 29, 79, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 - 231*f**3 - 2832*f**2 - 2604*f.\nAnswer: -3*f*(f + 1)*(f + 14)*(f + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2 (c) -359\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.21, 403\/5, 6 in descending order.\nAnswer: 403\/5, 6, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -19. Calculate the lowest common multiple of 1 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 15) in base 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 442*b**2 + 441*b**2 - 1328*b**2 + 442*b**2. Let z(p) be the second derivative of -p**3\/2 - 13*p. Give z(r(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.8083 rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 1\/2, 2\/7, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n**2 - 6. Let x be o(0). Suppose 0 = -59*v - 11*v - 73*v - 1287. Put v, x, -1 in descending order.\nAnswer: -1, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87.6999599 + 87.7. What is u rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m**3 - 15*m + 5 + 4*m - 12 + 8.\nAnswer: 25*m**3 - 11*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 3*u - 4. Let l be a(4). Let v = 42 + -66. Let d be 8\/(-44) - v\/11. Is d equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8894672 and 38743?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, i: 13}. Give prob of picking 3 v.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119190114957\/905 + 131701808. Let n = 15\/181 + q. Which is bigger: 25 or n?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - 30*y + 11 - 38 as s + t*y and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*c + 217*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2 - 9*n + 5. Let m(j) = -4*j**2 + 8*j - 5. What is -5*b(w) - 6*m(w)?\nAnswer: -w**2 - 3*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 2 (c) -3\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 17 = -1. Let r(i) be the first derivative of -2 - 1\/20*i**5 - 1\/4*i + 1\/6*i**3 + 1\/8*i**2 - 1\/8*i**4 + 1\/24*i**s. Factor r(w).\nAnswer: (w - 1)**3*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l**2 + 32*l - 27. Give p(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 2*z - 3. Let a be i(3). Let u = 21 - a. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343*b**3 - 128*b**3 - 160*b**3 - 117*b**3.\nAnswer: -62*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8*g = 11*g. Solve y + 0*y + 20 = 5*i, 4*i + y - 25 = g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238.6532 times 84?\nAnswer: 20046.8688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(13\/(-26))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6261321 (base 7) in base 10?\nAnswer: -754419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 663378691 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**2 + 446*z - 3596. Determine r(9).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -35*k**3\/3 + k**2\/2 + k + 74. Let m(x) = -x. Determine d(m(z)).\nAnswer: 70*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*l = -3*d - 325*l - 5, 3*l - 30 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599162.\nAnswer: 2, 43, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 239*w**3 + 236*w**3 + 1123*w**3 + 2645*w**3 + 1.\nAnswer: 3765*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 5*c - 5 = 0, -c - 53 = -3*j - 83 + 29 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 575.\nAnswer: 6325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10192.6615 - -2.8615. Let n = 10201.7466 + h. Let q = 12 - n. What is q rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/13489 and -23\/28?\nAnswer: 53956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*a + 11 = -2*a, 5*m = a + 1. Put -2\/285, 4, m in descending order.\nAnswer: 4, m, -2\/285","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.8 (b) -4\/75 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 11 = -w + 4*v, -w - 3*v - 14 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -67.5, -13\/6, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let j be 10*(-1 - (-15)\/25). Let z(v) = -v**3 - 6*v**2 - 6*v + 12. Let w be z(j). Put -4, k, 1, w in increasing order.\nAnswer: -4, 1, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Suppose 0 = -p + 2*p - m. Let a(y) = -y + 1. Let j be a(-2). Put j, -1, p in decreasing order.\nAnswer: j, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3822073 and -40316?\nAnswer: 3862389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -15. Let w = l + -6. Let t(y) = -4*y - 27. What is the remainder when t(-9) is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 387*z**2 - 21*z**2 - 34*z**2 + 159*z**2 + 0*z**4 + 283*z**3 + 2*z**4 wrt z?\nAnswer: 48*z + 1698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2851 + -2854.322. Let n = -0.322 - s. Let h = 7 + -6. What is the third biggest value in n, -0.19, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1936741 divided by 4\nAnswer: -1936741\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 33 = 6*f, -2*k + 2*f + 7 + 19 = 0. Solve 346*w + k = 343*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5030, -10057, -15084, -20111, -25138?\n\"Answer: -5027*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*11\/33)\/((-6)\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -5, -3, 224.\nAnswer: -5, -3, -2, 0, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -23*k - 81. Let q be a(-9). Let x be (-6 - 108\/(-16))*8\/q. Which is bigger: -3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7337661978 and -23.\nAnswer: -7337662001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/(35*163\/(-199675))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 4:02 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -21\/1921 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 1, 3, 114\/469, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 3 - (-10 - 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**2 - 6*i + 1. Determine g(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -61.9 greater than or equal to -51\/24220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-242144)\/43240)\/((-26)\/(-5))?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 821271 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35505519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -93. Let p = b + -90.9878. Round p to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4263 (b) -0.2 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -35 (c) 0.2 (d) 3 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 221000 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -207256*x**3 - 287*x - 43243221.\nAnswer: -621768*x**2 - 287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 - 3*z - 2. Let a be k(4). Let v = -3 + a. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1130.97833 - 1131. Let k = y - -0.023. What is k rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a + 3 + 0 - 6 - 6*a. Let w = 23 - 28. Determine v(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 10*a**2 - 1 - 5*a**2 to the form l + q*a + p*a**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3952000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152735 and 122188?\nAnswer: 610940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118.39 - -118.19. Sort -2\/7, k, 0.4, 21, -3.\nAnswer: -3, -2\/7, k, 0.4, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*v**2 + 9\/5*v**3 - 12\/5*v - 6\/5*v**4 - 3\/5*v**5 + 0.\nAnswer: -3*v*(v - 1)**2*(v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = -5*b. Suppose 5*z - 29 = -b*q, 3*z - 18 = -q - 2*q. Solve -17 = 3*o - z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -154*q**2 + 0*q**4 + 0*q**3 - 1\/6*q**5 + 0*q + 0. Let s(x) be the third derivative of x**4\/8 - x**2. Give a(s(d)).\nAnswer: -90*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 112772 = 113352 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 171 and -0.1?\nAnswer: 171.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59418153191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 7*g - 2*g - 5*h, 0 = 2*h + 6. Let r(m) = 37*m - 28. What is the tens digit of r(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 167 * -2.4.\nAnswer: -400.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 c, and 1 r when four letters picked without replacement from {c: 1, w: 1, r: 1, j: 1, q: 1, s: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5102*r + 183621. Calculate t(-36).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppm when three letters picked without replacement from {n: 2, p: 4, d: 2, g: 1, m: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8169 + 8170. Let l(p) be the third derivative of 11*p**6\/120 + p**5\/30 - p**4\/12 + p**3\/6 + 4*p**2. What is l(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205438 is divided by 202.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -9. Let d be ((-6)\/4)\/(x\/8). Solve 6*u - 9 = d*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpbpwbplwbbplmwpbpb. What is prob of sequence mb?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1593375*d**2*j**3 + 2*d**2*j*w - 2*j**3*w**2 - 4*j**2*w**2 + 241654*j**2 wrt j?\nAnswer: 9560250*d**2 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 539434 and 11872?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - 22*s**2 + 55*s**2 + 2*s + 1 - 30*s**2 + (1 + 3 - 2)*(2*s - 2*s + 2*s**3) - s**3 + 2*s - 2*s.\nAnswer: 2*s**3 + 3*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 2\/((-1971)\/(-279) - 7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 75232*u**2 - 339332560*u + 136848532800.\nAnswer: -4*(u - 372)*(u + 9590)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 1\/3*c**2 - 23\/3*c + 20 = 0.\nAnswer: 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 37, 65, 95?\n\"Answer: v**2 + 23*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiqqqqqqiqqqqiqiqq. What is prob of sequence iqii?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.78844 years to millennia.\nAnswer: 0.03378844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 15*b - 2. Let o be 14*(-6)\/15 + 98\/(-245). Let h(l) = 8*l - 1. What is o*a(x) + 11*h(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*f - 2 + 2*f**2 - 63*f - 4*f**2 to l*f**2 + s*f + m and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6318049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-300)\/(-18)*24\/10. Let h = w + -32. Suppose 202 = h*i + 42. Solve -x - 5*b - 11 = 0, 0 = -2*x + 2*b + 2*b + i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 406817701 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -14. Let o = -12 + m. Let q(b) = -3*b**2 - 2*b + 1. Let i be q(1). Sort o, -2, i.\nAnswer: o, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 3*q - 1. Let g be r(4). Let l be (-5 + -3)*g\/(-6). Solve 0 = -0*s + l*s - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4*g - 2*g - 416 = 8*x, 145 = -4*g + 2*x - 261 for g.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/1789 and -55\/4.\nAnswer: 7156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -135442, -270973, -406588, -542287?\n\"Answer: -42*a**2 - 135405*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8905 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yloloolly. Give prob of sequence lool.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from tttttttstttttttttsst.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5 + 3*v**3 - 15*v + 17*v + 6*v**2 - 2*v**3 - 1. Give r(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*k - 14 = 0, 53*w - 50*w + 15 = -2*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-10)\/15)\/(-4 - 607060\/(-151770))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*b + 80*b - 7 = -3*q, -3*q = 2*b - 26 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29551 and 5785882?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 26712?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 545 + -483. Suppose 12*w - 122 = -z. Sort 48, -2, w.\nAnswer: -2, w, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 4.1, -28 in descending order.\nAnswer: 4.1, -2\/5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -47 - (0 + -2)) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7384 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345335 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209336 divided by 1096.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -82. Let s = d - 74.53. Let g = s - -3.1. What is g rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u - 16. Let x(s) = -11*s + 15. Suppose -19*r - 102 - 12 = 0. Let c(b) = r*x(b) - 5*g(b). What is c(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-126)*2*-1)\/(138\/161)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 3 (b) -104.7 (c) -566\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 43*a**8\/1680 - a**5\/12 + 7*a**3\/3 - 27. Let z(u) be the third derivative of b(u). Find the second derivative of z(o) wrt o.\nAnswer: 516*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 9:30 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/5, -3, 47, 7 in decreasing order.\nAnswer: 47, 7, 1\/5, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 z when three letters picked without replacement from {z: 1, q: 11}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 18*q**2 - 21*q - 38. Let f(t) = t + 3. Let r be f(-22). Let w be u(r). Let x = 0.3 - 0.3. What is the nearest to w in -2\/11, 4\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 532 divide 28096983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10269 = -19*o + 14146. Suppose 0 = -5*v - o + 17640. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, k: 3, v: 2, h: 3, i: 5}. What is prob of sequence kv?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**5 + 10040*g**4 - 4596595*g**3 + 4586560*g**2 = 0. What is g?\nAnswer: 0, 1, 704, 1303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 78, 89, 108, 135, 170?\n\"Answer: 4*b**2 - b + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 66*f**2 + 4*f + 3. Is d(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 13, z: 3}. What is prob of sequence zzuz?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0\/(-1))\/3)\/(-3). Let g = -3 - q. Let y(a) = -a. Calculate y(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 230 - 1873?\nAnswer: -1643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6631 + -4431. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5, 548617 in increasing order.\nAnswer: -14, 5, 548617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -45. Let c = a + -5. What are the prime factors of (-2)\/(-3) + 664\/c + -1?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021 (base 5) to base 9.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159252 and 971428?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-98)\/21 + (-4)\/(-6). Let v = 26 + -30.1. Let a = -0.1 - v. Sort t, -2, a.\nAnswer: t, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + -4*(-1 + sqrt(128) + 1 + sqrt(128)) + 5)**2*-2.\nAnswer: -16482 + 1792*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -5990\nAnswer: 24\/2995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 6*k - 4. Let h be f(7). Suppose 7 = -5*n - h. Let t = n + 9. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*w**2 - w**3 - w + 4*w**2 + 0*w**3 + 1 to the form u*w + v + k*w**3 + l*w**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738 = 825*m - 807*m for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 2:51 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -822 - -821. Let c be (-1 + (0 - x))*61\/(-122). Solve c = u - 2*q + 2, 4 = 3*u + q - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40525 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -38. Let g = i + -16. Let f be (-8)\/(48\/(-63))*4\/6. Is g at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 11. Let z = 52437\/4 + -13109. What is the closest to z in d, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937586329.\nAnswer: 17, 23, 223, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31125, -62266, -93407?\nAnswer: -124548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519154177.\nAnswer: 17, 41, 89, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8343673 years in decades?\nAnswer: 0.08343673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -79?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 13*w = -17*w - 16*w + 1152 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57004956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 9, x: 2, d: 6}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**4\/96 - j**3\/48 + 3*j**2\/8 + 148*j + 174. Let u(y) be the first derivative of k(y). Find v such that u(v) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1596 and -0.7.\nAnswer: 1117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358433513?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -60604 + -22?\nAnswer: -60626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49205148437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-54*340\/(-612)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t + 6. Suppose 0 = -3*v - 52 + 91. Let x(z) be the first derivative of 5*z**2\/2 + 3*z - 67. What is v*x(d) - 6*w(d)?\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/2, -2\/13, -2, 0.2, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 2\/5 (b) 4 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 6:46 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*b - 11. Suppose -b*c + 4*w = -c + 12, 0 = -4*c + w - 12. Which is bigger: c or -11\/6?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.233307 and -48.\nAnswer: 251.198736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n. Let r(g) = -1549948*g. What is m(r(z))?\nAnswer: -10849636*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c + 4499196*c**3 + 47*c - 4499195*c**3 + 52 - 52.\nAnswer: c**3 + 32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 26 = 10. Let h = 51 - 19. Calculate the highest common factor of o and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 9*l + 18. What is the lowest common multiple of q(9) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28 + 100 - 38*j - j**3 - 32 + 11*j**2.\nAnswer: -(j - 5)*(j - 4)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 217543682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2528 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00945442 rounded to five decimal places?\nAnswer: 0.00945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 6) to base 14.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42730006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*a - 3*b - 13, a + b = 9. Let x be 105\/5 - (-31 + 50). Sort 4, a, x.\nAnswer: x, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**5\/60 - j**4\/24 + j**2. Let q(r) = -3*r**2 - 3*r - 3. Let c(h) = -4*p(h) - q(h). Is c(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 218*u**2 + 326. Let q(m) be the first derivative of 146*m**3\/3 + 217*m - 21. Let b(w) = 5*d(w) - 7*q(w). What is the derivative of b(f) wrt f?\nAnswer: 136*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3*j - 17 = 1, 0 = -5*y + 5*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 0 + 4*d + 0*d**4 + 3\/4*d**5 + 0*d**3 + 7\/2*d**2. Differentiate n(w) wrt w.\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 + 25 = -5*t, -3*t = -4*w + 41. What is the remainder when 83 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*d = -156*d. Let w be d + (-120)\/(-6)*10\/4. Let z be 3*20\/6*1. Calculate the highest common factor of z and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 43, -19, 77, 5 in ascending order.\nAnswer: -19, 1, 3, 5, 43, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14*26\/(-1638) - (-129)\/27. Put -847, o, -3, 0 in increasing order.\nAnswer: -847, -3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-25 + 25 - (-20 - -4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(-14) + (-957)\/6*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x - 2*h + 2 = 0, -5*h = 3*x - 5. Let r(v) = v**3 + 3*v**2 - 4*v - 1. Let i be r(-4). Is i smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 5 (c) -0.055 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17603530981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*u - 127*u - 5 + 26*u + 23 - 67*u to the form y*u + c and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 798 and 171?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 945.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -295 or -293?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/6*2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - y - 3. Let j be w(4). Let a = j + -27. Let f = 14 + -4. What is the smallest common multiple of f and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 4. Let j(p) = 2*p + 5. Let g(t) = -5*j(t) - 6*r(t). Let l be g(1). Which is the biggest value? (a) -1\/5 (b) l (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 2843102?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 113130 and 950292?\nAnswer: 4751460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express a**4 + 2*a**4 - 4*a**4 + (-1 + 1 + 2*a**2)*(2*a - 2*a + 2*a)*(2*a + 0*a - 5*a) in the form n*a**2 + w*a**3 + j + s*a + d*a**4 and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 24 + 21. Suppose l*m + 82 = 388. Suppose -m*n = -26*n - 64. Solve 3*q + n = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 46*r**2 - 2*r + 3 + r**3 - 6*r - 39*r**2. What is the units digit of a(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n. Let k(o) = 1. Let i(f) = -5*f - 3. Let j(q) = -i(q) - 3*k(q). Calculate j(m(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 - 3*l**2 + 0*l**2 - 1 + 9*l**2 as i*l**2 + s + u*l and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*z - 20, b + 5*z = -2*b - 8. What is the third derivative of c**b - 3*c**4 + 55*c**3 + 101*c**2 - 63*c**2 wrt c?\nAnswer: -48*c + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3432)\/8580)\/((-8)\/(-55)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59838941 to the nearest integer?\nAnswer: 7736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25848500 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -12*p**2 + 1323*p + 216475. Let s(m) = 10*m**2 - 1322*m - 216476. Let y(a) = -6*g(a) - 7*s(a). Factor y(r).\nAnswer: 2*(r + 329)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-672)\/(-1))\/1 - 2. Suppose 2*g = 3*g + 5*x + 113, 4*x = -5*g - l. Let y = g + 964\/7. Are y and 2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(110)*4 - (sqrt(110) - (sqrt(110) + sqrt(110)*-2)*-4))\/(sqrt(120)\/(sqrt(1452) - -1*sqrt(1452))).\nAnswer: 242*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 3*r**2 + 0 + 1\/24*r**4 + 0*r**3 + 0*r. Give h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a + 23*a = -3270. List the prime factors of a.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -418242450 - -418242453.809998874. Let x = c - 3.81. Round x to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-21)*546\/(-52)*(-28)\/(-49)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3\/10, -5, -11\/2, 0.04 in ascending order.\nAnswer: -11\/2, -5, 0.04, 3\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 195\/78*2\/410. Let d = 20\/41 + j. Let 0*t - d + 1\/2*t**2 = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-6) + 2\/(-4). Let y be (-5 - 52\/(-12))*(6 + -3). What is the smallest value in y, 0.3, f, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11.6? (a) 0.3 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2474715*j**4 - 2302723*j**2 wrt j.\nAnswer: -59393160*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.84 less than -2657632.5686?\nAnswer: -2657576.7286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 139374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 + -2.01. Which is the closest to 1\/3? (a) -1\/2 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 5, 1552, -15 in descending order.\nAnswer: 1552, 5, 3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3650294954 to the power of 1\/2, to the nearest integer?\nAnswer: 60418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63995*q + 63975*q - 109 - 231 = 0 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3 + 3 - a**2. Let k(l) = -l. What is k(m(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 - 15*u**2 + 6*u - 57. What is the hundreds digit of j(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 1.2.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3311 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of z**4 + 8651013*z**3 - 281474822?\nAnswer: 4*z**3 + 25953039*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 72*v. Let i(k) = -24*k. Calculate -10*i(f) - 3*o(f).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 719710*j**4 + 20*j**3 - 2*j**2 - 16306412*j - 5 wrt j.\nAnswer: 8636520*j**2 + 120*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2755259036365 - 2755259036365 + 7*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4200, 3, -643, 5 in decreasing order.\nAnswer: 5, 3, 2, -643, -4200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1754*g**3*l**3 - 140*g**3 + g**2*l**2 + 95676*g**2*l - 2792*g*l**3 wrt l.\nAnswer: 10524*g**3 - 16752*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from jcecjcjccccjcjeecec?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 673408067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/47541 and -125\/1794?\nAnswer: 95082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94.436 - 93.98561. Let w = 0.45 - i. Round w to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.83 - 19. Let k = f + 0.268. Round k to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*n + 260. Suppose 11*s - 9*s = n. Suppose -2*x - 3*r - 18 = 1, 0 = -3*x - 4*r - s. Sort x, 4, -5.\nAnswer: -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -111, -127, -143, -159?\n\"Answer: -16*c - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*o**2 - 2*o**3 - 66*o**2 + 121*o**2 in the form s*o**3 + x + g*o + w*o**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 - 227\/4. Let z be 0\/(-3) - (-3 + -2). Suppose z*p - 3*t = -3, -4*p + 3*t = -t - 4. Which is the nearest to i? (a) p (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*i = 28*i - 4030. Suppose -l - 1 = 5*w, -3*w - 4*l = -3*l + 1. Suppose 17*g - 16*g - 13 = w. What is the highest common factor of i and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 639349353 by 3695661.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 8. Let i be f(7). Let w = -10\/11 + 19\/33. Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59658265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9945*p + 2 + 363*p - 3590*p.\nAnswer: -13172*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:44 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9056\/(-302) + (-12032)\/908416?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3998 divided by -42473.\nAnswer: 3998\/42473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*p + 24*p - 1 - p - 14*p.\nAnswer: 33*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.628*0.01.\nAnswer: 0.24628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 13 - 1\/8*c**2 + 3\/16*c**4 + 0*c + 1\/6*c**3. Let a(h) = 0. What is h?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72698089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 206*n + 13 - 2 - 395*n + n**2 + 199*n. Give s(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/87021 and -155\/174042.\nAnswer: 174042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 2*u + 59, 5*d - 237*u = -235*u - 109 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007154682 to six dps.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 443778703 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77598 and 324?\nAnswer: 155196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -16. Let o = -395\/6 - -197\/3. What is the closest to 0.01 in o, 1\/6, i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 6*r**2 - r + 8. Let x(p) = -2*p + 10. Let f be x(4). Let u be 7\/(7\/f) + 4. Give i(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - -37) + 3*2\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 1, i: 5, h: 3, g: 4}. Give prob of picking 1 g and 1 i.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 36*n + 144. Let s = 580 + -613. What are the prime factors of k(s)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141 and 12361?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1412 + -587. Let s = 1804 + w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6.06. Let u be 2*2 - ((5 - -3) + 1). Which is the smallest value? (a) -0.3 (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64361310 is divided by 1214364.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -0.2. Round n to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, -0.2, -3\/707, 9, -3, -1.8?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7505624561832 + 7505626327034.3000004. Let o = u - 1765202. Let f = 0.3 - o. Round f to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37\/5 + -109\/15. Let l = -203191.4 - -203191. Which is the closest to 1? (a) -2 (b) 0.2 (c) l (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27416 divided by 149.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l = 46*l + 4. Let x(t) = -23 + 860*t**2 - 314*t**2 + 8*t - 8 + 6. Is x(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13266168, 13266169, 13266174, 13266183?\nAnswer: 13266196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -0.04 (c) 58.3827\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 8 - (17 - (1 + 18)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 7:51 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 25*u - 21. Let h(k) = -6*k + 16. Let t be h(-5). Let o = t + -33. What is the remainder when w(-17) is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + s**2 + s + 22. Let w(h) = 56*h**3 - h**2 + 5*h + 89. Give -4*c(n) + w(n).\nAnswer: 52*n**3 - 5*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 7*t**6\/360 + t**3 + 17*t. Let b(y) be the second derivative of u(y). Let k(q) = 0*q + 0*q - q**2. What is b(k(l))?\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23716588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4230022101233 - 3?\nAnswer: 4230022101230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 37. Let p(l) = -2*l + 37. Let i(d) = -4*p(d) + 5*y(d). Is i(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97 - (-9 + 0 + -29 - -36)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122406*k**5 + 79290*k?\nAnswer: -2448120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 15 = -l, 0 = -4*l + 4*c + 385 - 317 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0294924669 to five decimal places.\nAnswer: -0.02949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 4:20 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 158*j**2\/11 + 11788*j\/11 + 19584 = 0.\nAnswer: -3366\/79, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -18, 1.13, -1952?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -180 + 184. Differentiate 5 - 29*s - u*s**2 + 20*s + 12*s wrt s.\nAnswer: -8*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x + 4. Let s(a) = -9*a + 1. Let g(j) = -3*h(j) - 4*s(j). Let c(t) = 2*t**2 - 5*t - 4. Let d be c(4). Is g(d) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2))\/((-4)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 6. Let p be m(-6). Suppose p = 3*y - y - 6. What is the derivative of -a**y + 3*a**4 + a**3 + 2 wrt a?\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from fmllffgif.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -23, -0.5, -16, -2, -3, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 197750 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -24. Let w = -17 - d. Let k = w + 9.0029. What is k rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125852716 to the power of 1\/2, to the nearest integer?\nAnswer: 11218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*x + 3*x**2 + 183*x - 2*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/11))**(-8\/11)*s**11*s**(-9) assuming s is positive.\nAnswer: s**(226\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33291529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p = -48. Suppose 15 = -5*k + 5*w, -7*k + 2*k - 4*w + p = 0. Solve q + q = k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16544219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 12. Let j be (-28)\/(-12)*((-13770)\/1155 - -12). What is the nearest to -1 in -1, j, w, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22547586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + (-2 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 6:57 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -12*w. Let i(t) be the second derivative of -t**4\/12 + t**3\/6 - 14*t. Let m(u) = 5*u**2 - 6*u. Let h(r) = 6*i(r) + m(r). Give y(h(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((2\/2)\/(-4))\/1. Let i = -4 + 2.9. Let n = i - -1.6. Sort n, u, -4\/9 in descending order.\nAnswer: n, u, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, -488, -1364, -2522, -3962, -5684?\nAnswer: -7688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038 is divided by 435.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*f = 438497 - 438634 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1487858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 220*c + 2491. Calculate x(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-36) - 46\/(-56)) + (-81)\/108?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 4. Suppose -5*v - 19 = 171. Let f = 41 + v. Sort -2, f, w in increasing order.\nAnswer: w, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5200) + sqrt(5200) + (0 + sqrt(5200))**2*4.\nAnswer: 40*sqrt(13) + 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13483.6263 - 807?\nAnswer: -14290.6263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2324323 (base 5) to base 11\nAnswer: 299a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-23))\/d)\/(d\/d**(-25))*(d**14)**(-37) assuming d is positive.\nAnswer: d**(-521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 11*j**2 - 17*j + 24. Let r be o(-15). Let u be r\/10 + (-8)\/(-16). Let g = -62 - u. What is the nearest to g in 1\/7, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4 + 26 = 0. Suppose i*p - 16 = 2*p. Solve x**4 + 4*x**p - x**2 - 4*x**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 426*g**3 + 6*g**2 - 10*g + 73. Let d(h) = -2129*h**3 - 30*h**2 + 55*h - 367. Let r(n) = 2*d(n) + 11*j(n). What is the third derivative of r(o) wrt o?\nAnswer: 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2455 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 64 * -0.1\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**1*y**2)\/((y\/(y*y**(-2\/25)))\/((y*y**(2\/19)*y)\/y)) assuming y is positive.\nAnswer: y**(1437\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 4*k - 4*k)*(-k**2 + 0*k**2 + 2*k**2) + 0*k**5 + 2*k**5 - k**5 - 2*k**5 + 5*k**5 - 2*k**5.\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -0.85. Let p = z - 0.85. Let m = 0.9 + p. Put 0.5, m, -0.08 in descending order.\nAnswer: 0.5, -0.08, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6538419261 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 547 + -537. Let f be (75\/(-36))\/((-4)\/18). Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2266426.863 to the nearest ten thousand.\nAnswer: -2270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 14. Let a(r) = -3*r**3 - 275*r**2 - 180*r + 185. Let p be a(-91). Solve -4*x + 11 = -y - d, y = p*x - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -5*p + 17, 3*z - 2*p - 2 = -7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3 + sqrt(17))*-5)**2.\nAnswer: 150*sqrt(17) + 645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*i + 2*i. Is i not equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-36) + 4\/(-3))*-4. Solve -c + x - m*x = 5, x - 13 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -0.43. Let t be (-4 - -2)*(-21)\/(-168)*20. What is the second smallest value in 0.2, 2\/11, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85797, -171594, -257391, -343188, -428985, -514782?\nAnswer: -600579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8d0 + -11f3f?\nAnswer: -1166f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 5*z - 125, -2000*y + 4*z = -1995*y - 100 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -194*o**3 + 3*o**2 + 26. Let s(n) = 4*n**3 + n**2 - 1. Let r(c) = -m(c) + 3*s(c). Differentiate r(u) with respect to u.\nAnswer: 618*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r**2 + 7*r - 3. Let u(j) = -j**2 + 0*j + j**2 - 1 - 3*j**2 + 2*j. Give -4*q(c) + 14*u(c).\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0913 + -3.9087. Let q = 27.061 + -0.061. Let j = -24 + q. Sort j, -2\/9, -1, r in increasing order.\nAnswer: r, -1, -2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 349.643.\nAnswer: 353.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132258 divided by 132258.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9534857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 + 90\/108. Which is the closest to -0.5? (a) 2 (b) 0.1 (c) 1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4001\/9 - 447. What is the common denominator of t and -14\/23?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3996958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*s + 18. Put 0, s, 4 in descending order.\nAnswer: 4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115868282 is divided by 6815780?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4327, 17724, 40053, 71314?\n\"Answer: 4466*o**2 - o - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let m(h) = 47*h - 9 + 9 - 15 - 15*h. Let u(z) = -17*z + 8. Let p(g) = -6*m(g) - 11*u(g). Suppose 0*l - 4*l = -4. Give l*p(n) + 4*b(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovuof. Give prob of picking 1 v and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246068 and 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -20*o**2 - 3*o - 4. Let t be b(-1). Let x = 561\/2 - 253. Find the common denominator of x and 2\/(16\/t) + 2\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + q = -3 + 1, 0 = -2*f + 2*q - 4. Suppose 0 = 5*t - f*t - 69. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 3128704498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -713 - -713. Solve -4*s + 9 = u, c = 2*s + u + 4*u + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 12*t**3 - 3*t**2 + 16*t - 25. Let g be k(2). Calculate the highest common factor of g and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 12:36 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 73490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(0 + -2) + 4. Suppose -b - d*b + 10 = 0. Suppose -b*r + 4 + 0 = 0. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/3780*40)\/((-4)\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-133))\/(-1*3\/(-2)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -74*u**2 - 76*u + 154. Calculate m(2).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002546 rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (10\/(-4) - -3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 1)*(4 + 7*i - 4 + (-24 + 7 - 25)*(-2*i - i - 2*i)) to the form y*i + p and give y.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 m, and 1 j when four letters picked without replacement from ymjnchm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 2726857?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/35 (b) -0.01 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8 (b) 4 (c) 4435 (d) -0.1 (e) -1\/3 (f) 1\/8 (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -132.25 and 0.3.\nAnswer: -39.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20653 + 48006. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.008 - 0.902. Let g = -0.09 + h. What is the third smallest value in -0.3, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 32*g + 504 = 0. What is the remainder when 427 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*(sqrt(704) + 3 + sqrt(704)*-5 + sqrt(704)) + (3 + sqrt(704) + -1 - (-3 + sqrt(704) + -1 + sqrt(704))) + 3)**2.\nAnswer: -6144*sqrt(11) + 180800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8063677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145020038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62248 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w - 513 + 513 + 2*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 4*t - 18, -624 = r + 2*t - 631 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 659\/22 - 30. Let s be (-6)\/(-4)*2\/3. Suppose j + 0 = -q + 1, 2*q - s = -j. Do j and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:41 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0 + 2, 0 = -3*v + 5*j + 4. Let b = -690 - 1214. Let p be b\/(-24) - v\/3. What is p rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -19. Let x = u - -34. Suppose 5*g + 15 = -3*m + 80, -5*m + 25 = 0. What is the least common multiple of x and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, e: 2, j: 7, d: 2, u: 2}. What is prob of picking 1 e and 2 d?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 435687355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 446346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -12) + (4 - -2) - 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(-19561 + 7513*l + 19561) to the form o*l + a and give o.\nAnswer: 15026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001743229578 to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 z, and 1 l when four letters picked without replacement from {l: 4, g: 5, f: 1, z: 6}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/27 + 86\/18. Suppose 3*m = -j*k + 53, k + 2*m - 52 = -4*k. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 2610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 - -122. Suppose -679 = b*n + n. Let h = 109 + n. Calculate the lowest common multiple of h and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, e: 2, c: 9, w: 4}. Give prob of picking 2 e and 2 x.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-1 + sqrt(700)) + -2)*3*-5)**2.\nAnswer: -13500*sqrt(7) + 1417725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1505 - 14969\/10. Let m(r) = -5*r**2 - 7*r - 17. Let h be m(17). Let u = 9449\/6 + h. Calculate the common denominator of u and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3389*(-6 - (-4 - 1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19928 at least as big as 976418\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73141884?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = 1. Let k(a) = -a**2 - a**2 + u - 3. Let v(q) = -q. Determine v(k(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -2 - 4220\/630. Let g = i + 36\/7. Suppose 0 + 0*h**2 - 2\/9*h**5 - g*h**4 + 0*h**3 + 0*h = 0. What is h?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(((-98)\/(-140))\/7).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/301383 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-25*s - 48*s - s)*(-4*s + s - 3*s).\nAnswer: 444*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 3*l + 2*l - 9, b = -2*l - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 905935 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5860 is divided by 125.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Let p(g) = g**3 - g**2 - 3*g + 4. What is the units digit of p(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2210, -4434, -6658, -8882, -11106, -13330?\nAnswer: -15554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*g = -108 - 120 + 218, -2*m - 7*g + 19 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/7))**(15\/7)\/((v*v**(1\/3))\/(v*v\/(v*v**(-6\/5)))) assuming v is positive.\nAnswer: v**(862\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 593*g**2 - 6*g + 10. Let y(c) = 3567*c**2 - 37*c + 62. Calculate 37*s(p) - 6*y(p).\nAnswer: 539*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 629 = 27*q + 8*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10020 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.01 minus 0.3?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0115 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1348*p + 24640 + 10408 = 0 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 + -114. What is the closest to 0 in -2, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 2*v = 0. Let t = 4 - v. Suppose 3*n + t = 5*n. Solve -l - n*l = 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 2}. What is prob of sequence llb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2817 is divided by 116.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-675)\/(-1215))\/(35\/(-21)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -57*s - 4506. Let g be n(-82). What is the greatest common divisor of g and 3066?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-12 - 18) - 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(3) + 1*sqrt(3))*-2 + -4*sqrt(12) + (-4*sqrt(6)*2)\/sqrt(2)))**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-16))\/((-121)\/(-44))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155696 is divided by 704.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 13 = 4*y - 0, -5*k = -4*y - 19. Suppose n = k*v - 1027, 3*n - 3 - 12 = 0. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90280*v**2 - 57461*v - 1 wrt v?\nAnswer: -180560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m*x**4 - m*x**3*y**2 - 6*m*x - x**4*y**3 - x**2*y**3 - 42*y**3 wrt x.\nAnswer: -48*m*x - 6*m*y**2 - 24*x*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19920 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(50)\/sqrt(40)*1)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 3:41 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34319767413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -196*k**3 + 43797096*k**2 - 25026864*k + 3575264.\nAnswer: -4*(k - 223454)*(7*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 844972 and 366?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (848\/(-40))\/(158\/(-5) + 2\/(-5)) and -143\/120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2759304098 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/1363, -8, 16, 4\/5 in increasing order.\nAnswer: -8, 4\/1363, 4\/5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 10:08 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/60, -0.5, -2 in increasing order.\nAnswer: -2, -1, -0.5, -1\/60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from mmxmmmxqmm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z. Suppose 0 = 8*j - 12*j + 12. Let i(p) = -j*p**2 - 3*p + 3*p - p**2. Give n(i(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-14)*b**(-6)\/b*b**(-9)\/((b**(-16)\/b)\/b) assuming b is positive.\nAnswer: b**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548273 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41 from 288.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -j + 4*j + 7, -3*j = 2*x - 17. Let p be (99\/(-45))\/((-1)\/5). Find the third derivative of p*b + x*b**5 + b**2 - 6*b - 5*b wrt b.\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3706040, -7412080, -11118120, -14824160?\n\"Answer: -3706040*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 11 = 0, 0 = 28*q - 27*q + 2*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((58 - 62) + 20)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 + (-369)\/45.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aquya. What is prob of picking 1 y and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/78)\/(6\/4)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 1\/47301 (c) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3171 by -1.\nAnswer: 3171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2*r*r**(-8\/3)*r\/(r*r**(-8\/3)\/r*r)*(r*((r\/r**8*r*r)\/r*r*r*r)\/r)\/r)**(-4\/15) assuming r is positive.\nAnswer: r**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2410245?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/295906 and -3\/26?\nAnswer: 295906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14603)\/(-119) + (-2)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 646546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqi when three letters picked without replacement from {q: 9, i: 10}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2223*y**4 - 38226?\nAnswer: 8892*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5277090?\nAnswer: 2, 3, 5, 7, 13, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**5\/20 + 7*z**4\/12 + 3*z**3\/2 - 5*z**2\/2 + 2*z. Let j be g(8). Suppose j*m - 8*m = -25. Solve -m*u = 8 - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325540 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - -0.9. Let l = -903 + 907. Which is the closest to -4? (a) l (b) k (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 3, p: 2, f: 1, q: 3, y: 1}. Give prob of picking 1 q and 1 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:01 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*n**3 + 10 + 27 - 47 + 10 - 29*n**3.\nAnswer: -178*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/53964 and -43\/152898.\nAnswer: 917388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1286220 and 970.\nAnswer: 1286220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 592238?\nAnswer: -592237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2386250 and 736.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 7197889.\nAnswer: -12\/7197889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/2)\/m*m)**6)**(-2\/13)\/((m*m\/(m*m**1)*m)**(-10\/11)\/(m**(2\/7)*m*m**(-5)\/m)) assuming m is positive.\nAnswer: m**(-5195\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.01 - 1.51. Let r be 0\/(-1 + 1 + 2). What is the biggest value in r, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a**2 + 5 - 5)*(-2*a + 0*a + 0*a) - 3*a**3 + 2*a - 2*a to the form v*a**3 + x*a + s*a**2 + i and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8602*x*z + 193*z - 4 with respect to x.\nAnswer: 8602*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 22\/6)\/((-8)\/24). Let k = -9 + b. Suppose -2*c + 0*c = -2*y + 16, -3*y - 1 = 2*c. Solve y*i + k*i - 20 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, n: 1}. Give prob of sequence qqn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 804\/5911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d + 5 - 7*d - 5*d - 2 in the form q*d + v and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.295 - 0.705. Which is the second biggest value? (a) 0 (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -16. Let a = 29 + -205\/7. Let m be 33\/44*(-8)\/2. What is the nearest to a in r, m, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 - (-2)\/(-6)*-129. Suppose -p*v - 2900 = -38950. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:15 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7027453501 rounded to 4 decimal places?\nAnswer: 0.7027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 6172*b + 4761698.\nAnswer: 2*(b + 1543)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-23)*(v*v**(3\/7)*v)\/v*v*(v\/(v**(3\/16)\/v))\/v**(-1\/2) assuming v is positive.\nAnswer: v**(-2045\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from gqggyfyllyfygyly?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -10*s**2 + 7*s. Let i(p) = -9*p**2 + 6*p. What is 4*i(k) - 3*w(k)?\nAnswer: -6*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/2943 and 1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 54 = 3*w, 2*b - 5*w = -5 + 62. Suppose -o - b = -4*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 1460275?\nAnswer: -1460267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49282, -98858, -148436, -198016?\n\"Answer: -q**2 - 49573*q + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 3. Let w be y(-5). Let u(t) = -w*t - t**2 + 6*t + 8*t + 2. List the prime factors of u(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = -6. Let p be ((-48)\/(-42))\/(a\/(-21)). Let f(v) = 35*v + 13. Is f(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 0*u**6 + 0*u**3 + 5\/336*u**8 + 1\/24*u**4 + 0 + 0*u**5 + 5*u**2 + 0*u + 0*u**7. What is the second derivative of i(j) wrt j?\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -16. Solve i = -4 - y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*f**4 - 5)*(-2*f - 3*f + 2*f - 4*f - f + 4*f + 4 - 4 - 2*f + (0 + 0 - f)*(-5 + 4 + 3) - 3*f + 0*f + 5*f - 3 + 3 - f).\nAnswer: -14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134*0.47435.\nAnswer: -63.5629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.075181447 * 5\nAnswer: 0.375907235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57305 (base 8) to base 7.\nAnswer: -130506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from affggof.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**7\/840 - s**6\/72 + s**5\/24 - s**4\/24 + 23*s**3\/6 + 2*s**2 + 26. Let b(p) be the first derivative of l(p). What is b(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 6 - x + 0*x - 10. Let h be u(9). Suppose 3*w - 94 - 36 = -5*g, 0 = 2*g - 4*w - 26. Solve 6 = 5*m - 9, -h*v - g = -m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 21*u**2 + 132*u - 153 = 0?\nAnswer: -51\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*r**2 - 16*r**2 - 26*r**2 + 3*r**2)*(0*r + 4*r - 2*r).\nAnswer: -156*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 878431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezzeeezeoeezeezeeezz. Give prob of picking 2 z, 1 e, and 1 o.\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/6*((-26)\/6 - -3). Let u(o) = -6*o**2. Let q(l) = -7*l**2. Let z be (1 - 0)\/((-1)\/(-3)). Let s(r) = k*q(r) + z*u(r). Let v(n) = 3*n. Give s(v(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-24 - (-23 + 9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 4. Let a(p) = -2*p**2 - 124*p + 129. Let o be a(-63). Let w = 2 + 0. Let s(d) = -7 - 4 - w*d + 2. Calculate o*s(v) + 7*h(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -43.3. Put -21, s, -4, 0.2 in increasing order.\nAnswer: -21, -4, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27\/4 of a millisecond?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4717310 and 1703?\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 + 84 - 106)*(3*w - 6*w + 2*w + (-5 + 0 + 3)*(2*w - 2*w - w) + 3*w - 3*w + w)*(-40 - 34 + 143).\nAnswer: 6762*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085930 is divided by 542941?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 5*f**2 + 10*f + 30. Let w be m(7). Suppose 4*u = u + 2*c + 14, 0 = -w*u - 4*c + 36. Calculate the greatest common divisor of 40 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170 - 121. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 16.75. Let v = s - -0.354. Let b = 0.10597 - v. What is b rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 5:06 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1728, -51, 1988 in increasing order.\nAnswer: -1728, -51, 1988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 14) to base 5\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 648 and 528.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2 + -6 + 1149976\/16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*q - 280 = 0. Solve -x = 6*x + q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/27 + -466\/189. Suppose -27*a + 7 - 61 = 0. Is a smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71269 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssnssnsswnsssswsw. What is prob of sequence sw?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3971\/(-361) - (-13 - -1). Suppose 3 = -n + 5. Suppose -4*u - 3*k + 0*k - 24 = 0, 3*u - n*k + 1 = 0. Put -1, -4, s, u in ascending order.\nAnswer: -4, u, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/212798 and -21\/153470.\nAnswer: 158534510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 - 100.49. Let v = 0.11 - a. What is the third smallest value in -0.5, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 835 + 12121?\nAnswer: 13056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 3*u**2 + 400*u + 11. Determine q(21).\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*j*k**2 - j*k + 2057*j - 23*k**2 + 2*k - 25 with respect to k.\nAnswer: -76*j*k - j - 46*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 18, 3 in ascending order.\nAnswer: 2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 54a7b5?\nAnswer: 54a7b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -8. Let m = -8\/183 + 869\/7320. Let v = 33\/40 - m. Sort s, -3, v in increasing order.\nAnswer: s, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -18 - (3 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4600.621 + 14.379. Is v > -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -446748?\nAnswer: 893496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**3 - 195*v**2 + 33*v - 184. What is h(-49)?\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1126 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 247806\/23 or 10775?\nAnswer: 10775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-10))\/(((-224)\/192)\/(490\/42))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9155177?\nAnswer: 41, 47, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - -2.5. Let d = -1.3 + i. Let w = 12 + -8. What is the smallest value in d, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d*d*d**(-12)*d)\/d)*d*d*d**(-14)*d assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/4, 0.5, -3\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2115 - 2340011?\nAnswer: -2333452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -48 + (5 - 9 - -10) + 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -248*j**2 - 299*j**2 - 526*j**2. Let a(r) = r**2. What is g(a(i))?\nAnswer: -1073*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1395*f - 177*f - 233450 = 458*f for f.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3332233\/30 - -570438\/5. Let r = f + -3032. Calculate the common denominator of r and -6\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(0 + ((sqrt(405) + 0)**2 + -2 - (sqrt(405) + (-4 + (sqrt(405)*-2 - sqrt(405)))**2))) + 2.\nAnswer: -65158 - 4500*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.4. Let q be (3 - -3)*(-8)\/(-16). What is the closest to -2 in l, 5, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 303 + 257. Let i be 3\/(-7) - (-7 + 368\/l). Factor 26\/5*v**3 + 2\/5*v**5 + i - 24\/5*v**2 + 8\/5*v - 12\/5*v**4.\nAnswer: 2*v*(v - 2)**2*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19 and 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0*n**6 + 0*n**5 + 0*n**2 + 0 + 0*n**4 - 5\/6*n**3 + n + 5\/42*n**7. What is the second derivative of b(w) wrt w?\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -69, -70, -69, -66, -61?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/21)\/(35\/51205*-22)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 12, 5*b + 11 = -2*o + 54. Let c(g) = 8*g**2 - 3*g + 6. Let v be c(5). What is the common denominator of b and 18\/(-24) + v\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34536500?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(1 - 2) - 2. Suppose -p - p + 3*a - 10 = 0, 0 = -p + 2*a - 9. Suppose 3*u + 3*d + 5 = -10, -2*u = 5*d + 25. Sort p, u, q in descending order.\nAnswer: p, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4 - 11*c**2 - 4.\nAnswer: -11*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, r: 4, k: 6}. Give prob of sequence fkr.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/396*(-135)\/10\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/7))**(27\/4) assuming o is positive.\nAnswer: o**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3\/2, 10\/97, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*g**3 - 678*g**3 - 593*g**3 + 2385*g**3 - 574*g**3.\nAnswer: -122*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -54*w - 2054. Let h be y(-38). Sort 3, -10, 4, h, -5.\nAnswer: -10, -5, h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6016 + 5999 + 5989 - 17997 - 5*v.\nAnswer: -5*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13 + -5.13. Let g be 0\/(0 + 2 + -3). Which is the smallest value? (a) g (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10641 + -2?\nAnswer: 10637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65.91 + 0.91. Let b = l - -65.095. Let s = b - 5.195. What is s rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 56 = 4*h. Calculate the remainder when -1*((-14)\/2 + -22) is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -544 divided by -4?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**4\/24 - k**3\/2 - 2*k**2. Suppose -2*m - 2*v = -10, 4*m = 3*v + v + 60. Is z(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 10:11 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**5 + 15*z**4 + 3*z**2 - 12*z. Let i(s) = -2*s**5 - 44*s**4 - 9*s**2 + 35*s. Let m(q) = -7*f(q) - 2*i(q). Find the third derivative of m(n) wrt n.\nAnswer: -180*n**2 - 408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 936 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 15. Let o be a(11). Let j(k) = -3*k - 4*k - k - k**2 - 8. Let c be j(-6). Solve y - h = -2*y + 16, -c = o*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.21 - 0.2. Let x = 15142 + -15142.4. What is the biggest value in x, 9, o?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129608*-0.5\nAnswer: -64804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 455, 1063, 2073, 3485, 5299, 7515, 10133?\nAnswer: 13153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjqjjqjjxxnqj. Give prob of sequence xjqx.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*j - 0*l + 2360558, 5*j - l - 5901389 = 0. Is 2\/10 + j\/135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 582816.3 and -3?\nAnswer: -1748448.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = -0*l. Let r(g) = g**2 + 9*g + 9. Let n be r(-7). Let o(q) = -2*q**2 - 11*q + 3. Let m be o(n). Solve k + 2*d - m = 0, 3*k - l + 2 = 4*d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127b9 (base 14) in base 9?\nAnswer: 68287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(-285)*12)\/14?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4362009798 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13470 by -527.\nAnswer: -13470\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*r - 85*r = -40*r + 273 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1688 + -1688.11301. Round m to 3 dps.\nAnswer: -0.113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3195 + -5460. Let m be (-4)\/2 + i - -4. Let l = m - -27125\/12. Find the common denominator of 71\/22 and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-62)*(-33)\/((-1683)\/34)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.478033 litres in millilitres?\nAnswer: 478.033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -40?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -21*b, -5*s + 71168*b - 71173*b = 395 for s.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3 = 3*l, 0*s + 5*s = 3*l - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.33 - 2.33. What is the closest to 3 in -1, q, 0.4, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889731703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4642461 - -0.3357535. Let l = 0.4 - -0.4. Let v = a - l. What is v rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -4.63 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (5 - 5) + 0 + 1 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7308*s**3 - 8*s**2 - 8*s + 1. Is r(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028987297 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(100)\/((3*sqrt(4) - sqrt(4))*1))\/(sqrt(10)\/(4*sqrt(2)*6)))**2.\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p - 4*p + 12*p**2 + 10*p as x*p**2 + y + j*p and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135620 by 4.\nAnswer: -33905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 c when four letters picked without replacement from {c: 7, w: 5}.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5. Let j(y) = t - 4*y + 5 - 5. Let u(z) = 2*z. Determine u(j(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3162, -5947, -8732, -11517, -14302, -17087?\nAnswer: -19872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 9 + -2 + -2. Solve -l - 1 = 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 67?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*8\/6*-1*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(76)*1)\/(-2*-2*sqrt(4)) + 1)*2)**2.\nAnswer: -10*sqrt(19) + 491\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/((p**(-4)\/p)\/p))))\/p)\/(p\/(p*p**(-5\/2)))*p*p**10*p*p\/p**(2\/3) assuming p is positive.\nAnswer: p**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 25*k**2 - 4*k + 5. Let p be w(1). Suppose -p*v + 86729 = -26865. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 1\/2 (b) 3\/5 (c) -4845 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**4*o)\/o**13)\/((o\/((o*((o**(2\/19)\/o)\/o)\/o)\/o))\/(o\/o**(1\/4))))**(-29) assuming o is positive.\nAnswer: o**(24563\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1757 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -2*q**3 + 13 + 0*q**2 - 7\/2*q**4 + 0*q. Find the third derivative of x(c) wrt c.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -11*z - 73. Give y(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 2. Let d(s) = -s + 17. Let p(l) = -d(l) - 2*r(l). Calculate p(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (0 - -15 - (-21 - (-24 - -14)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 78, 145, 212, 267, 298, 293?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 179216174 a multiple of 429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 19*o**5\/10 + o**2 - 7*o. Let m(v) = v**2 + 2*v. Let y(t) = -t**2 - t. Let j(p) = m(p) + 2*y(p). Determine w(j(h)).\nAnswer: 114*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**3 - 8*z + 6*z - 2*z)*(-3*z**2 + 0*z**2 + z**2).\nAnswer: -14*z**5 + 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*d - 9. Suppose 5*u + d = 13. Solve -3*g + 9 = -u*h - 2*g, 0 = -2*h + 2*g - 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -14, -0.3, 2\/11, 6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 18*o**2 - 18*o + 64. Calculate the remainder when v(-19) is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1405*k + 26617 - 65115 = 87952 for k.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27505, 55454, 83391, 111310, 139205, 167070?\nAnswer: 194899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 15 = -2*n. Let g = n - -9. Let u(z) = z - z**2 + 0 + g + 5*z. Determine u(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123829800 to the nearest 1000000.\nAnswer: 124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1282, -10699, -43234, -106601, -211078?\n\"Answer: -1713*v**3 + v**2 + 7*v + 2987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1601.313 centimeters?\nAnswer: 16013.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2222771693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 27*n - 166. Determine y(-34).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 1:59 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 + 1684 + 12919 + 0*l**2 - 6*l**2 + 3674.\nAnswer: -2*l**2 + 18277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(76)\/sqrt(4) + -1)**2.\nAnswer: -2*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**4 - v**3 - 2*v**2 - 1. Let j(b) = 294*b**4 + 4*b**3 + 9*b**2 - 131*b + 4. Let f(c) = -j(c) - 4*l(c). What is the third derivative of f(g) wrt g?\nAnswer: -6960*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 9) to base 8\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**4*s**2 + 27*j**2*s**3 + 57*j*s**3 + 3*j*s + 2*j + 2 wrt j.\nAnswer: -12*j**2*s**2 + 54*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (0 - 1)\/(-1). Let k = 10 - q. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 1. What is q(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q - 3*q + 5*z, -3*z = -6. Let p(b) = -3*b + 13. Let m(o) = o - 7. Let t(n) = q*p(n) + 5*m(n). Let h = -33 + 36. What is t(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*o*q*t**2*x - 2*o*q*t*x + o*x**2 - 5*q*t**2*x**2 + q*t*x**3 + 2*t**2*x**3 + x**3 wrt t.\nAnswer: -10*o*q*x - 10*q*x**2 + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -4.9734?\nAnswer: 4.9734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412 a factor of 170351157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 347 + -321. What is the greatest common factor of l and 429?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -18*f - 168. What is the lowest common multiple of 10 and q(-12)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.19 - 0.01. Let q = -0.1 - o. Let d be 1\/(28\/63)*2\/12. Which is the second smallest value? (a) q (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24157 - -24445. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (61 - (-76 + 49)) + -70?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/25)\/((-2)\/(-10)). Suppose 0 = w - 5*f + 25, -11*w - 20 = -16*w - 4*f. Are w and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12\/5 of a meter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4434*f - 1488*f - 1461*f - 1483*f + 7 - 7 + 0.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 0*l**2 + 3*l**2 + (0*l**2 + 0*l**2 + l**2)*(1 - 2 + 3) + 3*l**2 - 5*l**2 - 2*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 3. What is the highest common factor of l and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.98074*-17\nAnswer: -16.67258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -77, -149, -221?\n\"Answer: -72*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26 and 1899.59302.\nAnswer: 1925.59302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3835471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0*c**4 + 0 - 1\/60*c**5 + 0*c**3 - 12*c**2 + 0*c. Let k(y) be the second derivative of 5*y**3\/3 - 2*y. Calculate s(k(t)).\nAnswer: -100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5574727*1.\nAnswer: -5574727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(5) + 2 + 6*(sqrt(5) + -3) - ((sqrt(180) - (sqrt(180) + sqrt(180)*-1 + -3))*-5)**2.\nAnswer: -4743 - 893*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.7. Let k = -2838 + 2842. What is the third biggest value in -1\/9, k, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1, -5, 5, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/47 - 138\/611. Suppose 2*j = -j. Sort v, j, -4 in decreasing order.\nAnswer: j, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n - n**2 + n**2 - 487016*n**3 + 487014*n**3.\nAnswer: -2*n**3 - 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*668859.2.\nAnswer: 2675436.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -40904.63?\nAnswer: -40877.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1316647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 25*c**3 + 6. Let u(l) = 24*l**3 + 7. Let p(x) = 3*f(x) - 4*u(x). What is the first derivative of p(m) wrt m?\nAnswer: -63*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + (2*sqrt(52) - sqrt(52))\/sqrt(4) + -2))**2.\nAnswer: -216*sqrt(13) + 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/29837463 and 31\/11.\nAnswer: 328212093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 20*r**2. Let x(u) = -51*u + 90. What is o(x(l))?\nAnswer: 52020*l**2 - 183600*l + 162000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -82 * -1.4\nAnswer: 114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 3:15 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -476 - -488. Suppose -4*v + 2*x - h = -5*v, 4*v - 3*x + 7 = 0. Solve -y - v + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*g - 56 - 98 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 18 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 2. Suppose -2077 + 2029 = 16*k. Let n(a) = -a - 3. Determine k*d(o) - 2*n(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + t**3 - 3*t**3)*((-t - 3 + 3)*(3 + 0 - 4) + 2 - 3*t - 2 + (0 - 3 + 0)*(2*t - 2 + 2)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3 - 15. Are -4 and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18 - 1 + 16*i + 2 + 17*i**2 + 12*i. Let h(o) = 11*o**2 + 19*o + 13. Suppose 0*m + 5 = -m. Let n(g) = m*w(g) + 8*h(g). Factor n(l).\nAnswer: 3*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5042.76627 to the nearest 100.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 2)*(18*v + 24*v - 47*v) to the form i + f*v and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -37135524 + 5?\nAnswer: -37135519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56432, 56532, 56632, 56732, 56832?\nAnswer: 56932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from dwaxdawxddaaddx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 705 - -61061?\nAnswer: 61766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 7. List the prime factors of 2\/u - 120\/(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 - 35. What is the highest common divisor of 42 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8744, -38217, -87338, -156107, -244524?\n\"Answer: -9824*r**2 - r + 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/(-620))\/(2\/(-680))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -46, -45, -40, -31, -18, -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 2*b**4\/3 - 9*b**2 - 9*b. What is the derivative of o(k) wrt k?\nAnswer: 16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8*m**3 - 2*m**2 - m + 2. Let j be z(-2). Calculate the greatest common divisor of j and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000001110100 (base 2) to base 4\nAnswer: -3001310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181*h**2 + 220*h**2 + 4*h - 891 + 95*h**2 + 67*h**2 - 5*h**3 - 2*h**4 wrt h.\nAnswer: -24*h**2 - 30*h + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 43. What is the greatest common factor of 28 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, d: 2, q: 2, y: 3}. What is prob of sequence ddqb?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 272, 0.3, 5, -0.2, 1, 2\/3.\nAnswer: -0.2, 0.3, 2\/3, 1, 5, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24309 = 673*u - 1427 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h - 1. Let l be a(-3). Let n = 8 - l. Suppose 0 = 2*s + 2*v - 158, n*s - 2*s = -4*v - 146. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(36)\/sqrt(4))*-6.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1954999*j**3 + 2*j**2 - 32362*j + 30 wrt j?\nAnswer: 11729994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7360 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 394 - 759. Let x = u - -363.282. What is x rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -405.46 and 114.\nAnswer: -291.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23769412?\nAnswer: 2, 109, 54517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -374503168 divided by -71552?\nAnswer: 5234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 18*v - 4462. What is v rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2281 is divided by 76.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18410*z - 441 = 18361*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10505062 is divided by 218855?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 52105, 104057, 156009?\n\"Answer: 51952*l + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z - 34*z = 12*z + 696 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 566968 to the power of 1\/2, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 + 78. Let o be (-10)\/(-4) + 1\/(-2). Find the third derivative of 219*m**2 + o*m**4 - 209*m**c + m**4 wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84382, -675130, -2278606, -5401180, -10549222, -18229102, -28947190, -43209856?\nAnswer: -61523470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189*j**6 + 89*j**6 + 2*j**2 - 64*j**6 + 21*j wrt j?\nAnswer: -19680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-9 + -25)) + (-504)\/27?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 7\/6*h**3 + 0*h + 0 + 25*h**2 + 1\/12*h**4. What is v(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (2 - (-6)\/(-2)). Suppose -p = 17 - 14. Which is the second smallest value? (a) o (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8753 + -8753.4877. Let w = -99 + 98.51. Let f = w - j. What is f rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -755 + 757. Which is the nearest to -1? (a) -10 (b) 39 (c) -5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4613420 by 620.\nAnswer: -7441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.826 - -0.536. Let l = -0.29 - s. Is l bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-35 + 7) - (-35 - -133)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(245))**2 + sqrt(180) + 1 + -3.\nAnswer: -120*sqrt(5) + 760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2859, 5704, 8553, 11406, 14263, 17124?\nAnswer: 19989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 16, z: 4}. What is prob of picking 2 z and 2 j?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013227228 rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*(-2)\/4\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63250\/7 + 9069. Let j = -33 + v. What is y in 0 + 0*y - j*y**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 3*j + 1. Calculate m(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.304 + -21.264. What is o rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/5820221 and -10\/1587333.\nAnswer: 17460663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 + 4 + 0 + -46 + -62 + 127.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1368.01 to the nearest integer.\nAnswer: -1368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -463196*m**6 + 7*m**5 - m**3 + m**2 - 2*m - 8146.\nAnswer: -55583520*m**3 + 420*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62017 = 9*q - 143651. Suppose -q = -5*t - 4*r, 4*r = t - 1857 - 2723. Is t\/9*(0 + 9\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p - 2*s - 13, 3*p = 3*s + 27. Solve 0*y - 2*y + 4*l - 10 = 0, 4*l = p*y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**4 - 81350*k**3 + 28578*k wrt k.\nAnswer: 12*k**2 - 488100*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012 (base 4) to base 5.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.9 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4243 is divided by 2044.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2950279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-2)\/(3\/3). Suppose 4*o - 5*w - 5 = 13, 0 = 2*o + s*w - 22. Suppose -j + 25 = -3*m, -4*j - 67 + o = 4*m. Round m to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 682 + 5*s**2 - 682.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-49782)\/(-18) - (-55)\/(-33).\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2. Let c(v) be the third derivative of -v**4\/4 + v**3\/2 - 3*v**2. Let m(z) = z - 1. Let s(p) = -c(p) - 3*m(p). Determine s(y(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 88*i**2 + 1601*i - 689. Give q(-62).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(2 - 10 - 1)*(-174315*h + 174315*h - 589*h**2).\nAnswer: 5301*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:24 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21524 * -16.2\nAnswer: -348688.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6827 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/5 - -3\/5. Factor -y + 4\/5*c**2 - 2\/5*c.\nAnswer: 2*(c - 1)*(2*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (3 - 13\/(117\/18))) + 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 - 1.386. Let d = 4.186 + y. Let c = d - 4. What is the third biggest value in -1\/3, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*o - 503 = 428*o + 295*o - 79 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-12) - (-33)\/9. Suppose -2*d - v = -0*v + 1, 3*v = x*d - 3. Suppose 32 + 30 = 4*h + 3*z, 4*z - 8 = d. Solve 2*y - h = -6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 6:34 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*a**2 + 6*a**2 + 9 - 11*a**2 - 2*a**2 wrt a?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - (-49)\/(-7) - -19. Let n be (-16)\/(-7) + -2 + 1221\/63. Which is smaller: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -9. Suppose -17 = t*k + 40. Let f = k - -42. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36225 and 9.\nAnswer: 36225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b + 302*b**2 + 115*b**2 - b - 6*b in the form t*b + n*b**2 + y and give n.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 5*o - 510 + 530 = 0, -y = -5*o - 70 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -664 by -332.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1615*f**3 + 1588*f**3 + 246*f**2 - 246*f**2.\nAnswer: 3203*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 0)\/((-39)\/39). Let r be d + 282 - (-30 + 31). What is the highest common divisor of r and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 905 = -2*v + 959. Calculate the remainder when 215 is divided by v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-61778)\/6 + -2)\/((-24)\/72)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/60755 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 12:31 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 16*k - 115 = 0. Find the common denominator of ((-339)\/(-24))\/((-7)\/(-4)) and (k*(-6)\/45)\/((-64)\/1224).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 + 16*t**2 + 14*t. Determine a(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 2\/9 (b) 19\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*r = -26, 3766*c - 3767*c = 2*r + 30 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26923*a**3*p**3 + a**3*p - a**3 + a**2*p**2 - 82*a**2 + 43*a*p**3 - 6*a*p wrt p?\nAnswer: 161538*a**3 + 258*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 + 33\/6. Does 6 divide ((s\/4)\/3)\/((-2)\/(-180))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*y - 327 - 6231 - 12838 = -1384 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/60*4*-12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((1\/(-29))\/1). Suppose -b + z = -0*b. Is b a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/12 + 125*r**4\/24 + 95*r**3 + 355*r**2 + 3. Determine y, given that l(y) = 0.\nAnswer: -19, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(7 + (-90)\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/19*u + 6\/19 - 2\/19*u**2 = 0. Calculate u.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002 (base 3) to base 13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(-93)*-3*7*1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1\/5, -32, -1, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/6 + 11*u**2\/2 + 23*u\/2 + 35\/6 = 0. What is u?\nAnswer: -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 6*i**2 + 6*i + 6. Let g be l(-5). Let n = 6 - g. Find the second derivative of -14*q**3 + 18*q**3 - n*q + 3*q wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/375, 152\/9, -0.894?\nAnswer: -0.894","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.45 - -8. Let s = p - 2.55. What is the nearest to 1\/3 in s, 1\/12, -4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134354983?\nAnswer: 7, 23, 834503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 53. Let l = 7086 + -7102. What is o(l)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 3*r + 8*r + (2 + 2 - 2)*(-3*r + 2*r + 2*r) + r + 4 - 4.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 99 - 95. Which is greater: 28\/51 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**(-1)\/b))*b*b**(-8)*b)\/(((((b\/((b\/(b**14\/b))\/b))\/b*b)\/b)\/b)\/b*b\/b**1) assuming b is positive.\nAnswer: b**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -11. Calculate the smallest common multiple of v and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22843294 + 3?\nAnswer: -22843291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 + 96. Suppose -3*p - w + 11 - q = 0, 0 = -4*p + 2*w + 24. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.49291 litres to millilitres.\nAnswer: 8492.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, 3\/4, 22, 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1976a43 + 4?\nAnswer: -1976a3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -886302, -886332, -886376, -886428, -886482?\nAnswer: -886532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 19*l**2 + 6. Let y be 944\/354*(-9)\/4. Let d(p) = 20*p**2 + 5. What is y*d(v) + 5*w(v)?\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 11. Let s be g(-15). Suppose 5*c - c - 61 = -3*l, -2*l - s*c = -42. Suppose q - 12 = m, q + q - 3*m - l = 0. Which is greater: q or 16?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149.633659 + -148.702. Let v = -0.932 + q. What is v rounded to five dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-22)*((-96)\/(-20))\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**2 - 12. Let s(n) = -231*n. Determine f(s(k)).\nAnswer: -266805*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55740741 and 474.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18070 divided by 2?\nAnswer: -9035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 8:31 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38369, -38363, -38347, -38315, -38261, -38179?\n\"Answer: c**3 - c**2 + 2*c - 38371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21629, 21627, 21625, 21623, 21621?\n\"Answer: -2*u + 21631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105355 - -2?\nAnswer: -105353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - o + 3)*(-o**2 + o**2 + 2*o**3) + (5 + 80 + 22)*(o**4 + 0 + 0) + 15 + 8*o**4 - 15 to the form s + u*o + q*o**3 + h*o**4 + b*o**2 and give h.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 27029.32 to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 3*z**2 + 3*z - 2. Let l = -160 + 272. Suppose -4*p + l = 5*t, 4*p - 15 = 3*t - 95. Suppose 2*f - 2*r = 6*f + 6, t = -3*f + 5*r. What is x(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 2*l + 3, 0 = -4*r - r - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**3\/24 + 27*g**2\/16 + 81*g\/4 + 2505. Factor r(l).\nAnswer: (l + 9)*(l + 18)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100110 (base 2) to base 16.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -14 - -5) + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1676*o**3 + 77867*o + 103 - 77866*o + 109 wrt o?\nAnswer: -10056*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/1563 and 34\/1305.\nAnswer: 679905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -354*f + 4122. Determine d(12).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1288661, 2577327, 3865999, 5154677, 6443361, 7732051, 9020747?\nAnswer: 10309449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33.77 + -1.03. Let i = -35.2 - y. What is the third smallest value in i, -4, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = a - 25, 4*a + 2*u = -12 + 2. Let w(i) be the third derivative of 0*i - 1\/24*i**4 + 2*i**2 - 1\/12*i**3 + a - 1\/120*i**5. Factor w(q).\nAnswer: -(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2947\/2 + -1436. Factor q + 15*t + 3\/2*t**2.\nAnswer: 3*(t + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(1 + -11) + 18\/3. Let y(t) = 385*t**2 - 19*t + 13. Is y(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**10*x*x))\/(x**(-4\/11)\/x))\/(x**0)**(17\/5) assuming x is positive.\nAnswer: x**(-106\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 - 42*j - 16. Give c(10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -493 - -492.7. What is the nearest to 1\/7 in 1\/4, -3, -4, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 17*c. Let k(z) = -5192193*z**2. Calculate i(k(q)).\nAnswer: -88267281*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 240859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -494 divided by 494?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -222*d*m - 24508*d - 70181*m - 337 wrt m?\nAnswer: -222*d - 70181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 0 + 6 + 7 - -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62.1 - -62. Let q = 2 - 1. Do g and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 8*c - 1. Solve -2 = 3*x - c*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-615)\/(-1845))\/((-2)\/48*-2*19)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -14*v**2 - 11*v + 5. Let r(a) be the third derivative of -a**5\/12 - a**4\/6 + a**3\/3 - 21*a**2. Calculate -8*r(p) + 3*u(p).\nAnswer: -2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74 + (-149 - (-1 + -20)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 353113519 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(4*sqrt(84)\/sqrt(7))*5)**2.\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/8, -0.4, -11, -1.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**6\/144 - 3*t**4\/8 - 5*t**2. Let y(g) be the second derivative of j(g). Let z(l) = 2*l**2. Calculate z(y(o)).\nAnswer: 50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5 + 6*t**4 + 14*t**3 - 30*t**2 - 36*t = 0. Calculate t.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1906, -1895, -1880, -1861, -1838, -1811, -1780?\nAnswer: -1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-35))\/(181\/905). Which is the fourth smallest value? (a) -1\/4 (b) 6 (c) 0.1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 35. Suppose 0 = -4*c + 3*c + f*p + 156, 5 = 5*p. Is 32 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 12*g**2 + 10. Let o = -300 - -320. Let d(v) = 4*v**2 + 3. Give o*d(c) - 6*y(c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7 - 3 = 4*p, p = -5*u + 10. Let m be 33\/7 + 6\/21. Find the third derivative of i**u - m*i**6 + 3*i**2 - i**2 - 2*i**2 wrt i.\nAnswer: -600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**2 - 2*v + 5. Let a(l) = 8*l**2 + 3*l - 6. What is -5*a(w) - 6*c(w)?\nAnswer: 2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3543, 3447, 3291, 3075, 2799, 2463, 2067?\n\"Answer: -30*o**2 - 6*o + 3579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 262 and 126.2562548.\nAnswer: 388.2562548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = h - 2. Suppose -27 = -5*p + 3*p - m, h = 4*p + 5*m - 51. Let x = -2 - -28. What is the remainder when x is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 444540 and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 3*d - 15. Let j be g(3). Solve 0*b = -5*k - j*b - 32, -2*k - 2*b = 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*g = -27, 0*c = -c - 4*g. Is ((-4)\/(-2))\/((-8)\/c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*a + 11*a - 10*a - 25*a in the form v*a + y and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -246 + 275. Let i(q) = -q**2 + 60*q - 6. Is i(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*h - 5 + 24, v + 3*h + 3 = 0. Solve -v*x - 16 = r, 0*x + x = -2*r - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 22, 43, 80, 139?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b2a - -24?\nAnswer: -5b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*51 + (2 - 0). Let k = s + -108. What is the units digit of (-3)\/(-5) + k\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*h + 5*r + 305, -4*h + 603 = -3*r. List the prime factors of ((-174)\/(-7))\/((h\/(-140))\/(-15)).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**21*q)**2 assuming q is positive.\nAnswer: q**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(27\/6)*6*-14. Let a be 0*2\/7*n\/(-32). Solve -j - 4*y - 11 = a, 5*j + 5*y + 7 = -3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/5 + 2111583*s\/5 - 2111586\/5.\nAnswer: 3*(s - 1)*(s + 703862)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013559412 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 443 - 3187*o**2 + 3186*o**2 - 2397 as m*o**2 + h + y*o and give h.\nAnswer: -1954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 28. Suppose 19 = -7*f + h. What is the smallest common multiple of (-1)\/f + (-126)\/(-12) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*g - 4, -g = q + 2*q - 16. Sort -3, -1, q in descending order.\nAnswer: q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101 by -101.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 2 (c) 8\/11 (d) 1 (e) 1.52 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47776 less than 47800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5 + 0)*(-2 + s + 2)*(8*s - 4*s - 5*s).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.83 * 3944\nAnswer: -3273.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(1 - 4 + 4)*(-1 + 0 + 2)*(-228 - 245 + 112)*(3*b**4 - 3*b**4 + 2*b**4).\nAnswer: 1444*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from {l: 2, o: 4, n: 4, v: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 - -74. Let r be (28\/(-21))\/(c\/30). Suppose r*g = -5*h - 25, -3*g = h + 3*h + 15. Solve 4*a = -b + 6*b, -3*a - 4*b + 31 = h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*z + 17, 3*d - 28 = -4*z - z. Suppose -12 + 52 = 4*n. What is the nearest to d in 0.5, n, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/(-7) + (-8)\/(-56) - -8. Let s(i) be the third derivative of 0*i**4 + 0 + 0*i + 1\/6*i**3 - 1\/60*i**q - 2*i**2. Find b, given that s(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/96312 and 11\/80260.\nAnswer: 481560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 40. Let b be (q - 0) + (-6 - -8). Which is smaller: 5\/12 or b?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1085 = -68*k - 4825. Let o be 2 + -2 - 4*1. Let v be (-120)\/k + o\/22 + -4. Which is smaller: v or -1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38, -48, -56, -62?\n\"Answer: x**2 - 13*x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*k, 12 = -3*d - 2*k - 13. Let b(n) = 13*n**2 - 6. Let t(w) = -14*w**2 + 8. Let o(a) = d*b(a) - 4*t(a). Give o(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*p - 68, -3*q + 14 = -2*q - p. Let n be 5\/12 + 4\/q. Factor r + 1\/3*r**2 + n.\nAnswer: (r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/477050 and -23\/302470?\nAnswer: 71080450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 22*q**2 - 23*q + 44. Give a(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18507, 18527, 18561, 18615, 18695, 18807, 18957?\nAnswer: 19151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1040862 at least -13531188\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 5*d**2 - 7*d + 3. Let a be s(5). Let i = 48 + a. Suppose 38 - 14 = h. What is the greatest common divisor of i and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -5. Suppose -w = 3*a - 1 - 1, -2*w + n = 5*a. Let c be 5*(3 + -4)*a. Is -5 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/8)\/((-4)\/(-16)). Let o(w) = 7*w - 11. Let c be o(5). Let k(x) = 43*x - 253. Let j be k(6). Solve -3*a + 3*y = c, -i = -2*y + j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 351, 517, 685, 855, 1027?\nAnswer: 1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*i - 5. Let b be 7 + i\/(20\/(-16)). Calculate the highest common factor of b and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431*r - 427*r = 68. Let x be (0 - 0) + -20 + 3. Let u = 34 - x. What is the highest common divisor of r and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - f + 81, -25 - 38 = -v - 3*f. Calculate the greatest common divisor of v and 332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.688 - -421.712. Let q = h + -426. What is the smallest value in 47, 1\/3, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-11)*-5*(-4)\/(-120))\/(959\/(-8631)).\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4463640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21723037?\nAnswer: 7, 439, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-2))\/(8\/(-16)). Put w, 4, 11, 5 in descending order.\nAnswer: 11, 5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-1*18\/495*11) + 10\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - c = -2*c + 44, 42 = 3*j + 3*c. Let d = 12 - j. What is the smallest value in d, -1\/3, 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - o**2 - o + 1. Let w be l(0). Let a = 14 + -11. Sort 0, a, w in descending order.\nAnswer: a, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 5. Let m be l(-3). Suppose 0 = 2*h + 2*g - 174, 2*h - m*g = -h + 261. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/2)\/(-12*12\/(-22128)). Let q = -256 + 21. Let v = t - q. What is the common denominator of 143\/12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185287*m + 19073 = 187571*m + 258893 for m.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -887\/30 + 157\/5. Suppose 2*p - 5*g + 0 = 4, 2*p = -5*g - 16. Let w be ((-4)\/(-3))\/((-2)\/p). Which is bigger: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k + 30 = -3*m - 37*k, -6 = m + 2*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 560406 and 111800997?\nAnswer: 223601994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1594 + -1608. Put 0, o, 3, -5 in increasing order.\nAnswer: o, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2 + 105*b + 62640. What is s(163)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*w - 0*w. Suppose -6 = -w*j - m, 0 = 4*j - 0*j - 3*m + 8. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**4 - 6*g**2 + 12*g + 18*g**3 - 49853 + 49849 - 7*g**2. Let z(x) = x**4 - 16*x**3 + 14*x**2 - 11*x + 3. Let a(v) = -3*b(v) - 4*z(v). Factor a(y).\nAnswer: -y*(y - 8)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 737 - 740. Let z = -0.018 + -0.282. What is the nearest to 1\/4 in f, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*h)*(4*h**3 - 7 + h**3 - 3*h**3).\nAnswer: -4*h**4 + 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -108040 to the nearest 1000.\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c**2 - 295*c - 1523. Let s be p(-5). Calculate the greatest common factor of 8968 and s.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.071 - 65.071. Let g = w + 60. Sort g, 22\/9, -2\/9 in ascending order.\nAnswer: g, -2\/9, 22\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n + 2. Suppose 5*y - 8 = 3*y. Let p be h(y). Let f(t) = -t**2 + 3*t + 1. Let g be f(7). Is p smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drc when three letters picked without replacement from nncnndnssssrnsnsn.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5945 take away -0.45827879?\nAnswer: 2.05277879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -395\/2?\nAnswer: -395\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.89 - -1095.11. Let u = -1108.3048 + q. Let v = u - 0.7. What is v rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18a22 (base 12) to base 10\nAnswer: 36026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2447799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -5, 20, 0, -2.\nAnswer: -5, -2, 0, 20, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 + 16*j - 13. Calculate the remainder when c(6) is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 674\/(-5729) + 0*(-2)\/(-4). What is the fourth biggest value in -5\/4, 3, -0.1, o?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 6. Let u = 7 - r. Let t = 28 - u. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20520 and 64368?\nAnswer: 6114960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 3 = -2*y - 0, 2*b = 2*y - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 132320223 (base 5) to base 12\nAnswer: 281b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -42700482, 6 in ascending order.\nAnswer: -42700482, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a micrometer in nanometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, -0.1, -3081 in decreasing order.\nAnswer: 3, -0.1, -8, -3081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*f = -58*f + 20. Let w = 0.1 + -0.3. Which is the biggest value? (a) w (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1. Let x(p) = -p - 2. Let s(o) = 3*v(o) - 3*x(o). Calculate s(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -122*g + 2967. Let t be p(24). What is the highest common divisor of 2795 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1830 + 1833. Let o = -2 + 4. Solve -o*g = 4*t - 6, -b = -4*g + 2*t - 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41959533*f**3 - f**2 + 2*f + 14414913?\nAnswer: -251757198*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*t - 7*t + 4*t)*(174*t**4 - 333*t**4 + 87*t**4).\nAnswer: 2448*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38926, -38923, -38920?\n\"Answer: 3*d - 38929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, r: 13, j: 3}. What is prob of picking 1 j, 1 r, and 1 i?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2. Let d(r) be the second derivative of r**5\/30 + r**3\/3 - 4*r. Let n(f) be the second derivative of d(f). Give n(i(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 1. Let h(t) = 3*t + 4. Let c be h(-3). Let n(m) = -13*m - 12. Let y(x) = c*i(x) + n(x). Does 9 divide y(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-184)\/(-18) + 17\/(1071\/(-14)). What is the highest common factor of 25 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*p - 93*p = -229*p + 28577 + 19573 for p.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -43. Let a = y - -49. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1764\/26 + 22\/143. What is the greatest common divisor of c and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007174 rounded to five dps?\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5 - 1 = 5*w, r + 3*w = 12. Let v = r - 2. Factor -v*z + z**3 + 2 + 10*z + 6*z**2 + z**3.\nAnswer: 2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(288))**2 + sqrt(10)\/sqrt(5)*4.\nAnswer: 52*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -2 + (-14 - (29 + -126)) + 2 + 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 934611313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) -0.1 (b) -5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(735)*-2 - (sqrt(15) - sqrt(540)\/sqrt(4)))\/((-6*sqrt(50)*-2)\/(sqrt(40)\/(sqrt(12)\/sqrt(3)))).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -21, -540, -4, 20, -5, 2 in ascending order.\nAnswer: -540, -21, -5, -4, 2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 905053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c + 75 = 15. Put 5, -13, 2\/19, c in increasing order.\nAnswer: -13, c, 2\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412765996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1066 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-6 + -14) - (0 + 6 + 0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y - 16*y = 19*y - 3*y. Let y*q - 4\/3*q**4 + 4\/3*q**2 - 10\/3*q**5 + 0 + 10\/3*q**3 = 0. What is q?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -3 (b) -1 (c) -0.0668 (d) -18 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/16)*k)\/(k**(2\/31)*k))\/(k\/(k**0\/k*k*k)*k)**(-27) assuming k is positive.\nAnswer: k**(13825\/496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - o - 2. Let q be w(-1). Suppose 208 = -q*g + 13*g. Solve -4*l + 4 = 0, 3*z - 2*l = -l - g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x - 299. Determine a(17).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 4. Let k(x) be the second derivative of x**5\/10 + 5*x**2\/2 + 18*x. Determine 4*k(m) - 5*s(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**7\/1785 - l**5\/255 + l**3\/51 + 240*l**2. Factor s(d).\nAnswer: 2*(d - 1)**2*(d + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40446343 - 0.1.\nAnswer: 40446342.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1301574 to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316719.\nAnswer: 19, 37, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 212605054*p - 125272336.\nAnswer: 212605054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -16. Suppose 3*k - y - 5 = 0, -5*k + 4 + 10 = b*y. Suppose -8*a + k*a = -1956. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*120\/4420 + (-1294)\/(-1001) + (-10)\/35.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/2 - (-20 + -1). What is the greatest common divisor of 17 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 3. Suppose 20 = 3*o + o. Let x(t) = -t - 2. Calculate o*s(a) - 7*x(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -u + 65 + 52, 2*u + q = 223. Does u = 112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 173000. Let c be x(0). Round c to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -45. Which is the nearest to -0.3? (a) 0 (b) u (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 4631220*k - 1072409934420.\nAnswer: -5*(k + 463122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -153815 - 106\nAnswer: -153921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -25781*k + 7804. What are the prime factors of g(-3)?\nAnswer: 85147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23367750755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79.3*36.2.\nAnswer: -2870.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 59 - 28 = 2*g, -3*u = 3*g - 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + (2 - 1))\/(-10) + (-185)\/25. Suppose 4*q + 2*c = 4*c + 70, 5*q - 3*c - 85 = 0. Let f = l + q. Solve -2*y + f = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1875*l - 1779*l - 1070 = -3950 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 352\/4*5\/40\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -0.0499.\nAnswer: -0.1499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*g. Let d be (g - -5) + (-2 - -1). Let y = -1.294 - -1.194. Which is the nearest to d? (a) 0.3 (b) y (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12121231311 (base 4) to base 15\nAnswer: -23239c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*q + 36*q = -203*q + 2212 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 842\/(-28) + (-75 - (-46244)\/616)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, 11, -3, -4, -108 in ascending order.\nAnswer: -108, -4, -3, 5, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.46168g to milligrams.\nAnswer: 18461.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -511195*k**3*m + 2010*k**2*m + 45*m wrt k?\nAnswer: -3067170*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 1:51 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 692a1 + 3?\nAnswer: 692a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341985293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2019*m - 112919 - 86039 = 1320*m - 25330 for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26363 and 152.\nAnswer: 26515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/(-105) - 1\/(-7). Do 2\/3 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - f - 2. Let w be p(-4). What is the common denominator of ((-5)\/(-16))\/(1\/w) and (-254)\/96 + 4\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52c - 6079b?\nAnswer: -60cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 258*p. Let u(f) = 11*f**2. What is u(s(k))?\nAnswer: 732204*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1508839.\nAnswer: 101, 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79 and 553.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(128)*-1 - sqrt(22)\/(2*sqrt(11)))*6)**2.\nAnswer: 46818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3187642 or -76503391\/24?\nAnswer: -76503391\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -277, -430, -585, -742, -901?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332.3518691 + 5710.\nAnswer: 6042.3518691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 7*r - 4. Give z(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*w**3 + 97*w**3 - 52*w**3 + 72*w to z*w**2 + p*w**3 + g + c*w and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.158 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33b3b2 (base 15) in base 6?\nAnswer: -124521435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 21 + (4 - -8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*z**2 + 5*z**3 + 44*z**2.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 89.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + -7 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r. Suppose -3 = -v - 4. Let m be i(v). Suppose 4*q = -0 - m. Let k(z) = 2*z + 1. Give k(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + (((sqrt(612)*-2)**2 - sqrt(612))*3 - (sqrt(612) + -2*sqrt(612) + -2)**2 - ((-2 + sqrt(612))**2*2 + sqrt(612) + 2)).\nAnswer: 5494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5750.774 rounded to the nearest ten?\nAnswer: 5750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3555 + -1361563\/383. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 205. Let p(d) = -309*d. Calculate p(l(m)).\nAnswer: -618*m + 63345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h + 5*h + 10 + 0*h + 7*h + 8.\nAnswer: h + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64786\/33 + -1963. Find the common denominator of 51\/5 and g.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2059 (c) 0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410 = -97*n + 12*n + 3*n. Solve -2*t = -4*d - 6, n*d + 48 = 5*t + 28 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11220 (base 3) to base 9.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0.02252, 0.52 in decreasing order.\nAnswer: 0.52, 0.02252, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.7 + -0.7. Let i = 25.1 + -25. Which is the nearest to i? (a) 2\/7 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 1) + -3*1. Suppose -3*z + 3*w = z - 15, 3*z - w = 10. Let d(q) = q**2 - q - 4. Let x be d(z). Sort -4, t, x in ascending order.\nAnswer: -4, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3.2334?\nAnswer: -7.2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 8 = -3*k. Let s(g) = -2*g - 5. Let y be s(-3). Let u = 0.04 - 2.04. Sort y, u, k in ascending order.\nAnswer: k, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + 0 + sqrt(117)\/(sqrt(9)*2).\nAnswer: 11*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 12:56 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.40369 - -0.00281\nAnswer: 0.4065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.43268ml in litres?\nAnswer: 0.05443268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -248 - 7*f**3 - 12*f**2 + 259 + 6*f**3. Let o be h(-12). Calculate the greatest common factor of o and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuykukkykuwkzuwwuz. What is prob of sequence wyy?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-243)\/2268)\/(3*9\/24).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3037, 3022, 3007, 2992, 2977?\n\"Answer: -15*g + 3052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32695 by 6539.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.374 - 0.674. Put 0, 1\/3, y in decreasing order.\nAnswer: 1\/3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19095.\nAnswer: 3, 5, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, k: 4, a: 8, m: 1, e: 2, x: 3}. Give prob of sequence xemx.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w = -2*b - 189, 5*b + 530 = 4*w. Let k = 112 + b. Is k smaller than 21\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -198a2 (base 13) to base 15.\nAnswer: -eb63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -w + 2*k - 7, 2*k = 4*w - 70. Suppose t = 5*t - w. Suppose -t*x + 7 = -3*x. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 978919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2. Let t(o) = o + 2. Let u be t(0). Suppose 0 = 6*p + 3*i - 40 - 32, -5*i = 2*p - 56. Let v(s) = 12 + u*s - p - 7 - s. Give n(v(j)).\nAnswer: j**2 - 6*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-570)\/(-1710))\/(2\/(-1)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/7)*(k\/(k*(k*k*k*(k\/(k**(-8)\/k))\/k*k)\/k))\/k)**(-2\/41))**(-1\/28) assuming k is positive.\nAnswer: k**(-47\/2009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2283.6603s to minutes.\nAnswer: 38.061005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzgwl. What is prob of picking 1 w and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(68)\/(-1*sqrt(484) - sqrt(484)) + -1).\nAnswer: 3*sqrt(17)\/11 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y. Let h(g) = -2*g. Let q(v) = d(v) + h(v). Let i(t) = -87*t. What is i(q(b))?\nAnswer: 87*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 2*g + 20. Give z(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-75) + (-4)\/30. Suppose g = -73*l + 71*l + 1334. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 4. Let c be g\/5 + 263932\/10. Let f = c - 17793. What is f rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33024, 33026, 33028, 33030, 33032, 33034?\nAnswer: 33036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - (23 + -9 - (-9 - 4)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/85 + (6 - (-38004)\/(-6426)). Are v and -1.8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 7*h + 2. Let u be y(7). Let x(o) be the first derivative of -1\/4*o**4 + 5\/3*o**3 - 1 - 3\/2*o**u - 4*o. Determine x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1119268162*q**3 + 57*q**2 - 46*q + 2753?\nAnswer: 6715608972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*t + 10 = -0*c, c = -6*t + 31. Suppose 0 = -0*h - 2*h - 6. What is the closest to 0.1 in h, -1.9, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - 29) + 36 + 2376\/171?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from ikikkkiiikkii.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1104 and 392817?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*o = 111, -35 = 3*h + o - 212. Let k(u) = 2*u**3 - 2*u**2 + 2*u. Let r be k(2). Calculate the highest common divisor of r and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 + 6*f + 2. Let v(w) = -4*w**3 - 13*w - 5. Determine 7*c(b) + 3*v(b).\nAnswer: 2*b**3 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -2 - -9 - (-33)\/(3465\/(-204))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26969*j + 13495*j + 261*j**2 + 13474*j.\nAnswer: 261*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 10) in base 5?\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 347567*m**2 + 3475595*m - 8688925.\nAnswer: (m - 347557)*(m - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5 - 28*n**4 + 33*n**3 + 112*n**2 - 116*n = 0 for n.\nAnswer: -29, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/((-468)\/328) - -4 and 43\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11817 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119425582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 408a1a (base 11) in base 4?\nAnswer: 2200023103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.43 * -22212.\nAnswer: -98399.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 19*s**2 + 2*s + 1. Let j be u(-1). Suppose -2*t + 8 = -j. Calculate the remainder when 23 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) 3 (c) -1\/2 (d) 62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 5 = 11*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g**2 + 64*g + 84. Let s be l(9). Solve 142*z + s = 148*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8229 = -8*y + 11*y. Let l = 54879\/20 - y. Find the common denominator of -46\/11 and l.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 9*w + 12. Let s be f(10). Calculate the remainder when (-31)\/((-2)\/((-4)\/(-2))) is divided by 30\/4 - (-1)\/s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = -5*u + 19, -4*t - 20 = 0. Solve 30 = -u*y - 5*s, y - 5*s + 8 = 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 2*m - 11, -3*m = -14 - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7753776 divided by -1938444?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 7. Let a be r(-7). Suppose a = -0*g - g + 22. Let v = 10 - 2. What is the remainder when g is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161067872 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 0*u - 7 - 2\/21*u**3 + 0*u**2 + 1\/14*u**4. Factor g(t).\nAnswer: 2*t**2*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3549*p - 3450. Let l(x) = 3551*x + 3444. Let u(y) = -5*l(y) - 6*z(y). Find the first derivative of u(o) wrt o.\nAnswer: 3539","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 6*i - 15. Let l be g(-7). Is 23*(-15)\/5*l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -j - 2*p, -4*j - 4 = 4*p + 4. Let y be 6 - 6\/((-18)\/39). Suppose 0 = f - y + j. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*z**3\/2 + 29*z**2\/2 - 16*z + 2 = 0. Calculate z.\nAnswer: -1, 2\/13, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 27*l. Let f(v) = -121*v. Suppose 0 = -6*d + 5861 - 845. Suppose 30*n - d = -8*n. Calculate n*h(g) + 5*f(g).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2382, -9593, -21610, -38433, -60062?\nAnswer: -86497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -53. Calculate the highest common divisor of 27 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(242) + -4*(-1*sqrt(242) + sqrt(242)))**2 - (2 + 1 + sqrt(242) - ((sqrt(242) - (sqrt(242) - (sqrt(242) + sqrt(242) + -1))) + -2)).\nAnswer: -732 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 350742209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 0*g**2 + 0*g - 2\/3*g**3 - 51. Let w(v) = -11*v**2 + 1. What is w(z(s))?\nAnswer: -44*s**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 681902724 divided by -170475681?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 3:41 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/4 - 3400185*j\/2 + 3400182.\nAnswer: 3*(j - 2266788)*(j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25, 50, 99, 178, 293, 450, 655?\n\"Answer: s**3 + 6*s**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.54514 to two dps.\nAnswer: 17.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*r - 718 = -747*r + 10585 + 5428 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540965 is divided by 270385.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/66 and 13\/32106?\nAnswer: 353166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20874*d**4 - 2*d**2 - 16*d - 41.\nAnswer: -500976*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -2\/375, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaql when four letters picked without replacement from {w: 1, l: 3, z: 3, h: 2, a: 3, q: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -50435*b + 11549611. What is s(229)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/24 + 1\/72. Suppose 40 = -4*j + 244. Let r = j - 203\/4. What is the nearest to r in -1, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*i = 16, -v + 5*i + 60 = 4*v. Calculate the remainder when v is divided by -3 + 0 + 3 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 370, 541, 714, 889, 1066?\nAnswer: 1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/10 + 4\/5. Suppose d - 1 = 11. Let k be 0\/(d\/(-2) + 3). Which is bigger: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n**2 + 9*n + 13. Does 27 divide y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/21579528 and -35\/9988?\nAnswer: 237374808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i + 2*i + 7*i - 4 + 4*i. What is the remainder when b(4) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (637\/3)\/(19\/57) + 3. Let p = 10543\/2 + -4657. Let g = v - p. What is the common denominator of 19\/4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 - -134. Let g = s + -53. Which is the third biggest value? (a) g (b) -3\/4 (c) 4\/41 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x**3 - 2. Let c be s(-2). Suppose -c - 136 = -9*p. Calculate the highest common divisor of 99 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 0*u + 19 + 0*u**2 - 7\/3*u**3. Let x(y) = -2*y - 3. Let v(j) = 11*j + 17. Let p(l) = -6*v(l) - 34*x(l). Determine p(g(r)).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, -4, -3336\/101?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/639 and -113\/198.\nAnswer: 14058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/48842 and 9\/3194?\nAnswer: 78000674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 4 = 10*o, 4*o = -3*q + 4342. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 8 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-196)\/(-882) - (20214022\/18 + -1). What is a rounded to the nearest ten thousand?\nAnswer: -1120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 6. Let w be k(9). Let c = 7.5 + -7.1. Put w, 8, c, -5 in decreasing order.\nAnswer: 8, c, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-850*c - 420*c + 501*c)*(c**4 - 58*c**2 + 56*c**2 + c**4).\nAnswer: -1538*c**5 + 1538*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34472, -275594, -930068, -2204570, -4305776, -7440362?\nAnswer: -11815004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 18. Let k = g - -25\/3. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4\/5 - 12*s**3 - 594*s**2\/5 - 432*s - 2592\/5 = 0. What is s?\nAnswer: -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 6*v - 2. Let r be u(-6). Let o be (3\/2 + r)*-6. Solve -o*w = 16 - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 532 - 536. Let v be (7\/(-2))\/((-3)\/(-6)). Let d = v - -5. Sort t, -3, d.\nAnswer: t, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**5\/20 - t**4 + 13*t**3\/6 - 4*t**2 + 3*t. Let j be m(-13). Let z be (-2)\/j - (-2)\/(-8). Solve -r + z*r + 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-1)\/(-6) - -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(132) + sqrt(132)*-1 + sqrt(132) + sqrt(132)))\/(-4*sqrt(12)*4)*-6)**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378\/36 - (14\/(-4) - -2) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325799207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**5\/2 + 15*t**4\/2 - 6*t**3.\nAnswer: -3*t**3*(t - 4)*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 7, e: 2}. Give prob of sequence pte.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kiiuzzyq. What is prob of sequence izyk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38268108 divided by 10148.\nAnswer: 3771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 4*r**2 + 2*r + 2. Let x be i(2). Let t(l) be the second derivative of -2*l**5\/5 - l**4\/4 - 4*l. What is the tens digit of t(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1109 + 1674 = -121*v. Suppose 1 = 2*i + 41. Let a = i - v. Solve -a = 2*z + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28\/36 + -1 + (-38)\/(-9) and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (sqrt(200) + 1)) + 0 + 3 + (sqrt(98) + -5 + (sqrt(98)*2 - sqrt(98)) + -2*(sqrt(98) + -1*sqrt(98)))**2.\nAnswer: -140*sqrt(2) + 419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -147, -332, -521, -714, -911, -1112?\n\"Answer: -2*d**2 - 179*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 4*b + 28, i = -4*b + 8 + 11. Solve -i*s + 0*d + 4*d = 5, 5*s + 4*d = -19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195.801*-803\nAnswer: 157228.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - 2. Let k = 3\/41 + -91\/123. Which is the closest to k? (a) 3 (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 8, e: 2, g: 3, a: 4}. Give prob of picking 2 a.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751634 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z. Let i(x) be the first derivative of 7*x**3\/6 + 79*x - 65. Let s(l) be the first derivative of i(l). Calculate o(s(v)).\nAnswer: -42*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -5, -7 in decreasing order.\nAnswer: 5, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.856737 to one decimal place.\nAnswer: -22.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 1441.\nAnswer: 720.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28417491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n + 1. Let h(i) be the third derivative of 13*i**4\/12 + i**3 + 11*i**2. Let k = 14 - 11. What is k*h(m) - 16*j(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372267431.\nAnswer: 881, 422551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*sqrt(187)\/(6*sqrt(44)\/sqrt(4)) - (sqrt(7344)*-3)\/((sqrt(27)*1)\/sqrt(9)).\nAnswer: -2 + 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1041*g - 776*g = 52693 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -8*y + 10*y. Solve 4*m + 2*v = m - 14, -5*m - 24 = y*v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 2*o + 30 = 0. Is 8 a factor of -3*((-34)\/o + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -541, -746, -1113, -1696?\nAnswer: -2549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/9718022 and -14\/110265?\nAnswer: 145770330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(175) - (-3 + (sqrt(175) + 1 - sqrt(175)))) + 2*(sqrt(175)*2 + sqrt(175)) - (sqrt(175) + sqrt(175)*3 + 1 - (sqrt(175) + -3 + -1))))**2.\nAnswer: 40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1 - 4*p + 9 - 6 - 3 + 3*p**2. Let m be c(2). Solve m*y = -5*v + 5, -2*v = v + 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 458*1545\/(-10). Let f = -5802419\/82 - p. What is the common denominator of -111\/14 and f?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 276298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -73007780 rounded to the nearest one hundred thousand?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1099728 and 336.\nAnswer: 1099728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 11602.\nAnswer: 127622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 - 130. What is the third smallest value in 1, t, -26, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -12*t**3 + t**2 + 31*t + 32. What is f(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6583221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*h, 6*y - 17*h - 52055 = -22*h. What is the thousands digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12021 (base 3) in base 4?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - -3 - (2 - 1). Suppose n*s + 1 = 11. Suppose s*g + 68 = 4*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26518748?\nAnswer: 2, 6629687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4132*n - 4136*n - 3*a, n - 13 = -4*a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -164 times -1\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 - 0*6\/12. Put -4, 41, g, 2 in decreasing order.\nAnswer: 41, 2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -684, -685, -662, -609, -520, -389, -210, 23?\n\"Answer: k**3 + 6*k**2 - 26*k - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -19*m**2 - 6*m - 1. Let x(z) = 16*z**2 + 5*z + 1. Let p(t) = -5*i(t) - 6*x(t). Let j(s) = 20*s**2 - 2. Calculate -j(w) + 2*p(w).\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3 - 323*j**2 - 1439*j + 380 = 0. Calculate j.\nAnswer: -76, -5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 13728?\nAnswer: 13728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7378 divided by 3689?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u + 43*u = -1506 + 696 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 8. Let u be 10\/(-15) + 142\/6. Let j = 17 - u. Let i(t) = 1. Give j*i(f) + b(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(34)\/(sqrt(8)\/sqrt(4)*-2 + sqrt(2)) - (sqrt(17) + -6*sqrt(136)\/sqrt(8) - (3 + sqrt(2057))))**2.\nAnswer: 108*sqrt(17) + 5517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**3 + j**2 + 2*j - 181. Let z(b) = 2*b**2 + 3*b + 3. Calculate -3*p(g) + 2*z(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24681?\nAnswer: 3, 19, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 = -c - 0, 4 = -4*x + 4*c. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -255 - -4?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 3*o**3 + 2*o - o**3)*(109*o - 109*o + 26*o**2).\nAnswer: -52*o**5 + 52*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -2*sqrt(208)*-3 + sqrt(208) + sqrt(208)*2 + 5)**2 - (sqrt(104)\/sqrt(8) + 5 + (sqrt(1573) - (-4 + sqrt(1573))))**2.\nAnswer: 382*sqrt(13) + 20731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -3*w - 5*v - 16, -v = -5*w + 41. Let x be (8\/6)\/(1\/3). Solve 0 = 5*c - x + w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 10*i**2 + 7*i + 7. Give x(-11).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/264 and 149\/1188.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-6))\/((-2)\/(-18)). Let r = -25 + 2. Let x = k - r. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26558126 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(5 + 2*(sqrt(448) + sqrt(448) + -1) + 1 + -1))**2.\nAnswer: 6912*sqrt(7) + 258372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11259216 and 260496?\nAnswer: 101332944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/97968 and 101\/6778632.\nAnswer: 176244432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5966*v**3 + 257*v**2 + 4*v + 25. Let i(o) = -5966*o**3 + 256*o**2 + 5*o + 39. Let b(u) = 2*i(u) - 3*j(u). Find the third derivative of b(k) wrt k.\nAnswer: 35796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*c + 2)*(3 - 3*c - 3) + 43 - 43 + 10*c**2 + (-2*c + 2*c + c)*(-2*c + 3*c - 2*c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.228195 centuries in millennia?\nAnswer: 0.0228195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3158693975694 + 206?\nAnswer: -3158693975488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**4\/12 + 17*g**3\/6 + 3*g**2\/2 + 1185*g. Calculate h(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, f: 4, x: 2}. What is prob of sequence bf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + (-3*sqrt(153) - sqrt(153)) + sqrt(153))*4 - -5*sqrt(153)*-3)\/(((sqrt(90) - (2*sqrt(90) + sqrt(90)))*5)\/sqrt(10)*2))**2.\nAnswer: 8993\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -7. Suppose n + 12 = 3*l. Solve 0*s = l*s + 3*c - 14, 4*s = -5*c + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 4*i**2 - 1 + 2 + 4*i**2 - 21*i**3. Let g be f(-1). Is (1 - 45)*g\/(-16) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5159892 (b) -22 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 3*x**5\/20 + 38*x**2 + x + 5. Let i(r) = 478*r. Give i(s(d)).\nAnswer: 4302*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42 - -42)\/(-1 - -2). Which is greater: 1\/425 or r?\nAnswer: 1\/425","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11*r**3 + 7*r**2 + 7*r - 9. Let j(i) = -6*i**3 + 4*i**2 + 4*i - 5. Suppose -11*d = -4*d + 28. What is d*h(s) + 7*j(s)?\nAnswer: 2*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u - 19. Let z be b(8). Let g = -133 - -143. Suppose 0 = 16*c - g*c - 264. Does c = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390298 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.54686 centimeters in nanometers?\nAnswer: 985468600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-23)\/3)\/(31660\/(-6330) - -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*v = -39, 4*l - 80 + 17 = 5*v. Let x(c) = 13*c**2 + 2*c - 1. Is x(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 0*n - 3*n. Let q(r) = -2 - 1 + 250*r + 4 - 303*r + 61*r. What is -4*m(f) - q(f)?\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 7, f: 3, d: 2, u: 5}. What is prob of picking 1 f, 1 u, and 1 k?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 126, 125, 122, 105, 62, -19, -150, -343?\n\"Answer: -2*c**3 + 11*c**2 - 20*c + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(sqrt(1100) + sqrt(1100) + -1*(-1*sqrt(1100))**2)*-1*4 + -1.\nAnswer: -320*sqrt(11) + 17601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 11 - 11 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + ((-1)\/3)\/((-1)\/9). Let h(v) = 1 - 5*v**2 - 1 + 4 + 0*v - 1701*v**3 - v + 1700*v**3. Give h(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a + 16*a + 22*a - 75*a + 23*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 4*g + 4. Let r(s) = -2*s**3 - 9*s - 9. Let i be ((-48)\/20 + 2)\/((-2)\/20). Let n be ((0 + 4)\/i)\/(2\/8). Give n*r(d) + 9*j(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 40. Let s be (18\/r)\/(9\/(-261)). Suppose -f = -5*a - 105, -2*a - 379 - s = -5*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 6:45 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98374 (base 10) to base 2.\nAnswer: 11000000001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 25, -4*y + 4*f = -0*f + 28 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2967, 5891, 8813, 11733, 14651, 17567, 20481?\nAnswer: 23393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 48 = r - t, -5*t - 71 = -r. Let w = -29 + r. Suppose 3*a - 5*l - w - 38 = 0, 5*l + 45 = a. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1394683.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0 = 6. Let p be 4 + ((-45)\/(-4))\/i. What is the second biggest value in p, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*t - a - 23, 0 = -5*t + a + 5. Let x(r) = 5*r**2 - 3*r**2 + r**t. Let z(v) be the third derivative of -v**5\/60 - 2*v**2. What is z(x(w))?\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3139011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21997 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12068.512 - 12049. What is b rounded to 1 dp?\nAnswer: 19.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 9.\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -315588*s - 3471439. Determine a(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 964163.7 nanoseconds?\nAnswer: 0.000016069395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, d: 3}. What is prob of sequence dd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -34, -3, -4, -5 in descending order.\nAnswer: -3, -4, -5, -34, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-10)*n*n\/(n*n**2\/n*n) assuming n is positive.\nAnswer: n**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 + 11*x**2 + 7*x + 27. Let g be t(-5). Suppose -z = -g*z - 80. Let u be (-1)\/2 - (-11)\/14. Which is the closest to 0.1? (a) u (b) z (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 5*u - 8. Let z(x) = x**2 + 5*x + 9. Let k(g) = -6*b(g) - 5*z(g). Let v be k(-5). Solve 0 = 5*o - v*o - q - 5, -4*o - 5*q = -31 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7922 and 44463182.\nAnswer: 44463182.7922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 615712644830 + -7.\nAnswer: 615712644823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1960021 = i - 430046, -2*i - 3059995 = -w. What is i rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -933 - -1473. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Let w(n) = i + 2 + n + 0 - 5*n**2. Let z be w(6). Round z to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:40 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 2.110072.\nAnswer: 12.660432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 + 18*a - 3. Let b(x) = -2*x**2 + 9*x - 2. Determine 5*b(c) - 3*h(c).\nAnswer: -c**2 - 9*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -51*x - 125. Let y(l) = -9*l - 25. Let j(o) = -2*n(o) + 11*y(o). What is j(12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 25239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26808781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 197340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017057 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183 (base 9) to base 6.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2924*a - 2311*a - 2513*a - 2718*a - 7862*a to c + o*a and give o.\nAnswer: -18328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + -3 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39042*t - 2*t**2 - 39039*t - 37*t**4 + 78080*t + 2*t**3 - 2 to the form z*t + r + b*t**4 + x*t**3 + j*t**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 3*m + 19, 13*m + 21 = 3*v + 10*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1897738 divided by -4.\nAnswer: -948869\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 10:20 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 169057 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -412 + 658. Let v = 373 - f. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 9\/2*y**3 - 27\/20*y**5 + 7\/4*y**4 + 5 - 12*y**2 - 9*y + 1\/10*y**6. Find p, given that i(p) = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/5)*v*v**(2\/5))\/(v**(-5)\/(v**(-4)\/v)) assuming v is positive.\nAnswer: v**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryrcdddyggrf. Give prob of picking 2 d and 2 y.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n, 0 = 3*f + 2*n - 3. Let t be 1\/f - (-9)\/(-15). Let o = -1.1 - -0.1. What is the second smallest value in t, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ec4 (base 16) to base 9.\nAnswer: 17372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164719606 divided by -23.\nAnswer: 7161722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*q - 18, -4*c + 3*c - 1 = 4*q. Sort 38, q, 5.\nAnswer: q, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 238449*o**3*w + o**3 - 148*o*w + 6*o + w + 2 wrt o.\nAnswer: 1430694*o*w + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p - 2*p)*(35*p**2 - 4*p**2 + 2*p**2 + 20*p**2).\nAnswer: -159*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u + 96 = -72*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*a - 72*a + 3*g - 61, -6*a + 3*a + 64 - 7 = 3*g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 3*l + 3*a, -15*a + 20 + 226 = 3*l. Let i(r) = 2*r**2 - 7*r - 6. Let y be i(6). What is the greatest common divisor of l and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - ((sqrt(117) - (sqrt(117) + (sqrt(117) - sqrt(117)*-1)))\/sqrt(9))**2)*-1 + -4.\nAnswer: -sqrt(13) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7404 - -7408. Which is the nearest to 0.2? (a) -2.7 (b) s (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**7\/280 - n**6\/90 - n**5\/90 - n**3\/3 + 4. Let r(i) be the third derivative of l(i). Suppose r(w) = 0. What is w?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r*r\/(r**(-2)*r)))\/r)*r**(2\/9)\/r)\/(r**(1\/4))**(-1\/51)*((r**(1\/7)\/r)\/(r*((r*r\/(r**(-2\/7)*r))\/r)\/r))\/(r**(-1))**(-21) assuming r is positive.\nAnswer: r**(-81035\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 2 = 20. Let a be (-2)\/12 - (-223)\/6. Suppose -m*w + o = -w - 13, 3*w - 5*o = a. Solve -w*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-20)*((d\/(d**(-17)\/d*d))\/d)\/d*d**(-2\/13)\/((d*d\/d**30)\/d) assuming d is positive.\nAnswer: d**(323\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*sqrt(1053))**2.\nAnswer: -47385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779\/2 + (-105)\/(-70) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 z when three letters picked without replacement from {b: 4, o: 1, z: 4, h: 1, p: 5}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/5 - (-7)\/(-35). Let z be b\/3 + 14\/(-21). Suppose -z*h + 28 = h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635*s**3 + 1344*s**3 - 664*s**3.\nAnswer: 45*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 57) + 50 + (9 - (0 - -4)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1909 - -1905. Put -66, 12, d in increasing order.\nAnswer: -66, d, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5838 is divided by 195.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (19 - 10 - 4 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.81601 - 143027\nAnswer: -143026.18399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 5*a + 21 = 0, j - 6*a + 11*a + 18 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 553 and 1380638.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of -36*7\/(56\/(-1636))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggq when four letters picked without replacement from gggqq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110944 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1736 + 1733. Put -38, -6, v in decreasing order.\nAnswer: v, -6, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(22)\/((sqrt(11) - sqrt(176))*-1) + (sqrt(6)\/(-1*sqrt(3)) + 5*sqrt(2)*2)**2).\nAnswer: sqrt(2) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.75899 centimeters in nanometers?\nAnswer: 577589900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 5. Suppose 4*o = 3*o + 4. Let i = -1177 - -1874. Let v = i - 702. Let p(k) = 2*k + 6. Give o*p(n) + v*y(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 427318051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -4)\/(1\/(-2)). Let a be 9 + 0\/(-1) + z. Suppose -931 = -15*c - 406. What is the highest common factor of a and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 13*y - 82. Let q(v) = 11 + 6*v - 29 - 12 - 11. Let g(l) = 9*q(l) - 4*u(l). Determine g(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**5 + 18*o**4 + 288*o**3 + 672*o**2.\nAnswer: -3*o**2*(o - 14)*(o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 1300?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(125) + 0)*-5 - (0 + sqrt(125)*1)*6)*-3.\nAnswer: -15 + 165*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -27. What is the derivative of -11 - 6 + m*i**2 - 4 - i**2 wrt i?\nAnswer: 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 13*q**2 - 12*q - 14. Let z be h(14). Solve 4*t - z = -2*y, -y + 10 = 5*t - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (270\/(-24) + 10)\/(7\/(-28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*k - 7 - 10 = 0, 3*k + 3 = 3*v. Let w be ((-1848)\/(-396) + (-4)\/(-3) + -1)\/1. Sort -4, v, 4, w in ascending order.\nAnswer: -4, v, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 21 + 35 = 5*x, -x + 4 = 0. Suppose 3794 = -5*z + d*z. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(-14*3\/(-36))\/(23\/(-230)). Which is the closest to z? (a) -2\/5 (b) 4 (c) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 6*m**2 + 2*m + 6. Suppose -d - p + 5 = 0, -4*p - p = -5*d + 35. Does 13 divide j(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from gquqvuqq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0382 and -133.\nAnswer: -5.0806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 - (-11 - -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613797865?\nAnswer: 5, 83, 1479031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.072 + 0.072. Which is bigger: v or 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 81984, 163888, 245788, 327684, 409576, 491464, 573348?\n\"Answer: -2*t**2 + 81910*t + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 2*t. Let q be 4*(30\/(-8) + 3). Let l be u(q). Let i(f) = -1 + 0 - 2*f - 1. Determine i(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2494 and 774.\nAnswer: 22446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -20, -32?\n\"Answer: -12*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 3*w**2 - 3*w - 1. Let x be k(4). Suppose 2*h = -5*o - 89 + 337, -x*h = -3*o - 393. What is the remainder when h is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**3 - c**2 + c + 1. Let g(m) = 12*m**3 - 202*m**2 - 49*m + 1. Let x(o) = -g(o) + 2*w(o). Find the second derivative of x(b) wrt b.\nAnswer: -12*b + 400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-16)\/v)\/v)\/(v*v**8\/v))**(-10) assuming v is positive.\nAnswer: v**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 2. Let l be 46\/(-8) - (7 - (-31)\/b). Sort 3, l, -4, -3 in decreasing order.\nAnswer: 3, -3, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -26 - (6 - (-4 - 0 - (-2 + 48)))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 29*i - 25 - 34400*i**3 - 10*i - 14*i. Let g be c(5). Round g to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51 - 8*g + 50 - 7*g)*(0 + 2 + 1) - 7*g - 2*g + 19*g to b + m*g and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13616 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114273, 913966, 3084539, 7311432, 14280085?\nAnswer: 24675938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzeeze. Give prob of picking 1 e and 2 z.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410 = 191*u - 927 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-14)\/21)\/(30\/9).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -0.4. Let x = 0.06 - 0.36. Let d = -0.4 - x. Which is the closest to -1\/3? (a) p (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1466, 1433, 1400?\n\"Answer: -33*l + 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498*z**3 + 414*z**3 + 489*z**3 - 1399*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 11 + 1 = 0. What is the second derivative of -4*h**3 + 2*h**3 + 3*h**5 + 3*h + v*h**3 wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y**3 - y**2. Let u be h(-1). Let v = -12 + u. Let p = v - -8. Solve -8*o + 4*o = p*j - 14, 2*j - 4*o + 24 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231448 and 717752?\nAnswer: 2966469016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 12. Let v be i(-3). Suppose d + v*d - r - 36 = 0, 3*r = 0. Suppose 4*p - 115 = d*p. Which is smaller: p or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**2 - 686*t - 2038. Determine z(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023925 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a. Let q(s) = 6*s + 2 + 5 + 1 - 4 - 2. Calculate q(i(j)).\nAnswer: 12*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -662.39.\nAnswer: 132.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 1, -80, -79, 44, 2.\nAnswer: -80, -79, -3, 1, 2, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 452673 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: Let h be (-6)\/(-2) - (-25 - -23). Let m(i) = -2*i - 5. Let s be m(-5). Let b = s + -7. Put b, h, 4 in decreasing order.\nAnswer: h, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**4\/12 - 2*v**3\/3 - 3*v**2\/2 - v. Let g be q(5). Suppose 0*t = 2*t - 34. Solve g*a + n - t = -4, -a + 29 = 5*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -26, -31, -38, -47, -58, -71?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**24*(f**1)**(-17))**(-24) assuming f is positive.\nAnswer: f**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (0 - -15 - -1). Let -21*w - 4*w**3 - b*w + 36*w + 4*w**5 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -64, -200, -462, -892?\nAnswer: -1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*s - 3, 1180*s - 21 = 1177*s. What is the greatest common factor of 2312 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/7 (b) -2 (c) -1\/5 (d) -238\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 17 = -3*v, -3*j + j + 13 = -3*v. Suppose -7*g + j*g = -6. Which is the smallest value? (a) 5 (b) g (c) 11 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**3 - 39*y**2 + 12*y + 18. Let w be b(-10). Let k be 1*(-3)\/(15\/14). Which is smaller: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-8) + 19353005\/(-5789560)\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 less than -0.0236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -5*j - 4*s - 44, 2*s + 4 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 + 11*g**2 - 30*g**2 + 16*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 968455214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 382500892*o**4 - 88551053 wrt o?\nAnswer: 1530003568*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -11 - -3) + (4 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34515241 is divided by 17257586.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1164, 0, 1 in increasing order.\nAnswer: 0, 1, 1164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11514031 + -4?\nAnswer: 11514029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 + -109.9. Suppose 3 = 4*w + 19. Which is the closest to k? (a) -0.5 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 216526318*k**2 - k + 560734614.\nAnswer: 433052636*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 324675026 to the power of 1\/2, to the nearest integer?\nAnswer: 18019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/42 - (-5)\/35*1145. Calculate the greatest common divisor of 9617 and r.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b0774 (base 12) in base 3?\nAnswer: -1211120101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -783, -791, -811, -849, -911, -1003, -1131, -1301?\nAnswer: -1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20846851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25256204199.98697986 + 25256203472. Let n = v + 744.986979. Let j = n + -17. Round j to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7054 and 20.\nAnswer: 70540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -61455, -61487, -61531, -61593, -61679, -61795?\n\"Answer: -r**3 - 25*r - 61429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + (sqrt(76)*6 - sqrt(76)))*2 - -4*(6*sqrt(76) + sqrt(76) - sqrt(76)))\/((-1*sqrt(800))\/((sqrt(20)\/sqrt(2))\/sqrt(5))).\nAnswer: -18*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y + 3. Let b(u) = 3*u - 2. Let z(g) = -6*b(g) - 4*c(g). Let p be 6\/(-11) + ((-936)\/99 - -9). Give z(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2. Let z(b) = 3*b**2 - 6*b - 2. Let q(v) = 4*y(v) - z(v). Let s be (0 - 3) + (-4)\/4. What is q(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*n + 5*m + 2 = 74*n, -2*n + 2*m - 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 6*c - 7. Let o be m(-8). Let d = o + -7. What is the derivative of -t**3 + 2 - t**2 - 1 + t**d wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 + 11.26. Let p = 8.1 - n. Let o = p - -2.5. What is the second smallest value in o, 0.6, 3\/2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7828613 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -658 - -1214. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 10*y + 5*y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 35 - 11 - 15 + n**2 + 2*n**3. Let v(d) = d**3 + 1. Let b(m) = -2*m**3 + m**2 + 4. Let x(h) = -b(h) - 4*v(h). Calculate 6*i(u) + 7*x(u).\nAnswer: -2*u**3 - u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35754 minus 0.4?\nAnswer: 35753.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i + 10. Suppose -50*y = -58*y + 24. Suppose -b = y*r - 7, 2 = b - r + 11. Let t(u) = 6*u - 15. Calculate b*t(f) - 7*k(f).\nAnswer: -2*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0)\/((-3)\/(-3) + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89569, -89579, -89603, -89647, -89717?\nAnswer: -89819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 22 = -5*q + 3*q, 0 = -4*q - z + 16. Suppose 3*p + 2*i = 1795, -678 = q*p + 3*i - 2475. Is p 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 8:44 PM and 11:05 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4 - (0 - -5 - 7)) + 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-2*f**5 - f**5 + f**5)*(-154 - 164 - 55).\nAnswer: -1492*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1157*r + 20. Let b be m(-7). Let n = b + 5387. Is -3*1*n\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i + 42. Suppose 0 = -0*r - 2*r + 16. Let u = 55 + r. What is the highest common divisor of i and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.4 - -12. Suppose -2*r + 0*r - 2 = 0. What is the closest to r in -1\/10, l, -1\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arrr. Give prob of sequence ra.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39123.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-12)\/a)\/a)**(-5\/7)\/((a*(a**(-1\/5)*a)\/a)\/(a\/(a\/(a*a**0*a)))))**(-2\/103) assuming a is positive.\nAnswer: a**(-112\/515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from {h: 1, u: 4, a: 7, x: 1}.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3782508 and 12.\nAnswer: 3782508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584450.1 months to decades.\nAnswer: 4870.4175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 2. Let k = 0 + -1. What is the units digit of (-3)\/(k\/(x\/3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 15. Let x be h(0). Let r be (-2)\/4*(-193 + 187). Find the second derivative of 35*p**3 - 81*p**3 - x*p + 37*p**r wrt p.\nAnswer: -54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 894*q - 5. Let g(s) = 3*s + 6. Determine g(k(p)).\nAnswer: 2682*p - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olottmlhltlto. Give prob of sequence lmt.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 w when four letters picked without replacement from wwwwwjjjwwjjj?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s**2 + s + 5. Give u(-3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17 - 243*k**2 - k + 2*k**2 + 18*k**2 + 19 + 6*k**2 wrt k?\nAnswer: -434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7.659, -2\/15, -0.08128?\nAnswer: -0.08128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.039129484 to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -692276, -692475, -692670, -692861?\nAnswer: -693048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 3*h - 55 = -0*h, -h - 886 = -7*u - 771 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45007?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 2*z**2 + 2. Let d be v(-2). Solve -2*o - 3 = r, -2*o - 1 = d*r + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*b - b - 5*a, -3*b = -2*a - 10. Let g be 2\/(-6) - 78\/(-18). Suppose 6*f - 6 = 4*f, 0 = -g*n - 4*f. Put 0, n, b in increasing order.\nAnswer: n, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126717 is divided by 685.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 4*w + 0*w + (-2 + 1 + 3)*(-2*w + 0*w + 4*w) - 7*w + 6*w - 6*w)*(-3*w**2 + 0*w**2 + 5*w**2).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105839 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22371 is divided by 619.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 56. Let h be w(18). Let b = h - -77. Suppose -b*k + 3*c + 32 + 55 = 0, -2*k = 4*c - 40. Is 26 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(0 - 3\/(-42)). Is t greater than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704*n = -675*n - 29 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -m - 0 - 6, 0 = -5*m + 5*w. Suppose 0 = 6*q - m*q - 93. What is the remainder when 122 is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4012*g**2 - 2*g**3 + 4012*g**2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/4))**(-28)*(x**6)**(6\/7) assuming x is positive.\nAnswer: x**(-209\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1466.63 * 18.\nAnswer: 26399.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 21*g**2 + 23*g - 38. Let w(j) = -2*j**3 - 42*j**2 - 44*j + 73. Let z(a) = 5*f(a) + 3*w(a). What is z(-20)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 649 and 2950?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-11 - -11))\/(1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24783 by 574.\nAnswer: -24783\/574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {m: 3, n: 2, a: 11, r: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*w**3 + 14751*w**2 - 13*w - 14751.\nAnswer: (w - 1)*(w + 1)*(13*w + 14751)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1707.1 plus -107?\nAnswer: 1600.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -1483*w**4\/4 + 17*w**3\/3 + 16*w - 792. What is the third derivative of s(r) wrt r?\nAnswer: -8898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72495816066572 + 3.\nAnswer: 72495816066575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 952*c**2. Let z(h) = 35*h**2 + 4*h. Determine z(j(s)).\nAnswer: 31720640*s**4 + 3808*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-47288928)\/(-120) + (-5)\/((-225)\/21)*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1.5. Let m = 2.4 + -2. Suppose -4*q = -7 + 3. Put n, q, m in ascending order.\nAnswer: n, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, -647.3, -0.0423?\nAnswer: -0.0423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1720*x**2 + 28*x - 14. Let h(i) = -573*i**2 + 8*i - 4. Give -7*h(z) + 2*u(z).\nAnswer: 571*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67\/5 + -13. Let z = 0.5 + -1. Suppose 4*p - 25 = -p. Which is the nearest to u? (a) z (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsxssggxs. What is prob of picking 1 g and 2 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 190 = -670. Is z\/(-4) + (-2 - -1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10.1 and -0.0173.\nAnswer: -10.1173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239731, 479448, 719165, 958882?\nAnswer: 1198599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3228 = -7*j + 258. What is the highest common factor of j and 1328?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 738 = 19*y + 49 + 119. Let b(j) = -3*j**3 + 4*j**2 + j + 4. Calculate the remainder when b(-3) is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mim when three letters picked without replacement from iiiiimiiiimimmmiii?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142*l**3*r - 5*l**3 - l*r - 335*l - 3*r wrt l.\nAnswer: 852*l*r - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 6*j**2 - 7*j)*(100 - 13*j - 100) + 8*j**3 + 5*j**3 - 3*j**3.\nAnswer: 88*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 167 divided by 5\nAnswer: 167\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 1953*z**3 + 1956*z**3 - 2*z**2 - 16*z**2 = 0. Calculate z.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 25 = 5*i, p - 333656*i + 11 = -333655*i for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 3 + (0 + 4 - 2)*(2 + 2 - 2) + 2 + 1 - 4 + 1 - 3 + 0)*(r - 4*r + 0*r)*(0 + 4 - 5).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -4642.\nAnswer: 27852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 9516 - 92 - 24\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*w**2 - 6*w**3 + 54*w**2.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 59. Suppose w = -6*t - 4*t + 8410. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1800871 divided by 1\nAnswer: 1800871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-57)\/(-2))*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 3)*(2*f**4 + 330 - 330 + 45*f**2) + (-1 + 2*f**2 + 1)*(f**2 + 2 - 2).\nAnswer: 14*f**4 + 270*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 - 48369*o\/5 - 145116\/5.\nAnswer: (o - 48372)*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -527c8 (base 14) to base 4\nAnswer: -300213030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-20) + (434\/10)\/1 - 2. Calculate the greatest common factor of r and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 392385160 or 392385159?\nAnswer: 392385159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 0 + 0)*(-262*a**3 - 6 - 16 + 259*a**3) to the form b*a**2 + z*a + n + f*a**3 + y*a**4 and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1609296?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 12:03 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62157657?\nAnswer: 3, 2741, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137388 is divided by 58?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 534.4 - 533.9. Which is the nearest to -0.2? (a) v (b) -7 (c) -5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43583 or -43581?\nAnswer: -43583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*n**2 + 20*n - 18*n**2 - 6*n**2 wrt n?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 11. Let f be a(-13). Let d be 1 + 5797 - f - -4. Round d to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26371c (base 13) in base 6?\nAnswer: -31431211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -410 - -610. What is the highest common divisor of p and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -231 - -231.0000192. What is x rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g - 310. Let a(i) = i - 25. Determine a(k(t)).\nAnswer: 4*t - 335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**8\/28 + 257*j**6\/10 - 19*j**4 + 582*j. Find the third derivative of x(k) wrt k.\nAnswer: 240*k**3 + 18504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 3*t**4 + 2*t**3\/3 + t**2\/2 + 1. Suppose 0 = 3*a + a + 4. Give v(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.53878 + 1.075.\nAnswer: 1.61378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -116, -155, -220, -311?\n\"Answer: -13*y**2 - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16868282 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 195.8916379 and -0.16475.\nAnswer: 195.7268879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1020 + 1019.92. Put i, -4, -0.67 in descending order.\nAnswer: i, -0.67, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73*h + 220 wrt h?\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o + 15*o - 171*o + 51*o + 32*o.\nAnswer: -38*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 18*q + 46. Let x be k(3). Solve i - x - 4 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 741 - 2.4.\nAnswer: 738.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 657 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h + 1420 = 0. Let b(t) = 4*t**3 + 653*t**2 - 3193*t - 523. Let s be b(-168). Is h at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 0, -138, 834 in ascending order.\nAnswer: -138, -51, 0, 834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**5\/20 + 5*l**4\/6 + 5*l**3\/3 + 6*l**2 - 26*l - 1. Determine k(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3960638 <= -3960638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/35 + (-1 - (-204)\/14). Suppose 42 = -7*t + l*t. Suppose -t*m = -8*m + 6. What is the smallest common multiple of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12415036.084 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v - 4350 = -110*v - 132*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2686341 + 1?\nAnswer: -2686340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2190*m + 1 + 2194*m - 4385*m. Calculate f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 408\/(-14) - -2 - 16\/(-112). Let w be -2 + ((-48)\/20)\/(-2). Let i be (-2)\/1 + 0 + 3. What is the nearest to i in n, -2\/7, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 955 - 6684\/7. Factor -j + 1\/7*m**2 + 0*m.\nAnswer: (m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.2459 to one decimal place.\nAnswer: 81.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4416 - -4415.93821. Round k to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(-l**2 + 4 - 4) + (0 + 2*l + 0)*(5*l - 3*l + 3*l).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*s**2 - 165*s - 36 - 2*s**3 - 22*s**2 + 82*s + s**4 + 83*s to c*s**2 + l*s**4 + z + r*s**3 + a*s and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024 is divided by 71?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -581 - 480.994099.\nAnswer: -1061.994099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - -24 - (-2 + -5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a. Let z(s) be the second derivative of -s**4\/2 - s**2\/2 - 5*s. Let i(x) be the first derivative of z(x). Calculate -2*i(y) + 27*j(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - j**3 + j**2 + 1 + 2 - 3*j. Let y be q(0). Suppose -2*h = 3*p - 7, h - y*p + p = 7. Solve 0 = t + 2*o + 6 - 0, -t = o + h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/6)\/((-4)\/40). Suppose -47 = a*i - 252. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**2\/3 - 67760210*n\/3 - 229572302962205\/3 = 0. What is n?\nAnswer: -6776021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -478468 by 4.\nAnswer: -119617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 - 7*u**3 + 3*u**3)*(693 + 6932 + 931 + 391 + 8973)*(-2*u + u - 2*u).\nAnswer: 53760*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -10*t**2 + 11. Let f(z) = -30*z**2 + 35. Let r(y) = -4*f(y) + 11*u(y). Let c(a) = -a. What is r(c(n))?\nAnswer: 10*n**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 91*f**2 + 268*f + 1056. What is h(-88)?\nAnswer: 704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 3*m + 4. Let l be u(-3). Suppose 6 = l*c - w + 1, -4*w - 2 = 2*c. Suppose 14 + c = 4*t + i, -i - 5 = 0. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003250112234 to 6 dps.\nAnswer: 0.00325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 7:21 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 10:35 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 316*m**3 + 12792*m**2 + 24336*m.\nAnswer: 2*m*(m + 2)*(m + 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5899 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 0 - 1 - 2)*(-5*l**2 + 3*l**2 + l**2).\nAnswer: 2*l**4 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 5*j**2 + 11*j - 1. Let n be f(7). Suppose p - 5*a = -4*p + 1110, -3*p + 5*a = -n. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*m**3 - 1\/4*m**5 - 1\/4*m**2 + 0 + 1\/4*m**4 + 0*m = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l**2 + 170*l + 170. Let f(u) = -u - 1. Determine -1020*f(h) - 6*z(h).\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6642 is divided by 64?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-3) - 12*-263 - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 + (19 - -9 - 37)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 17 = -20*n + 15*n, 0 = -3*n - a - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 59*h + 864. Calculate w(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - x + 13. Let w(q) = -q**2 + 6. Let z(t) = -3*h(t) + 7*w(t). Give z(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, y: 6, v: 2, b: 4}. Give prob of sequence ybb.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105 - -5620640?\nAnswer: 5620745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*6\/(-4) + 16. Let j = -4 + 6. What is the units digit of m\/j + 2\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69056 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2532 + -135?\nAnswer: 2353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 532 = 7*p - 5*p, 2*t - 1046 = -4*p. Solve -39*s - 104 = -p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.1 + -37. Which is the third biggest value? (a) -4 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 26 + 27 = w, 5*k + 105 = 12*w - 7*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 3, -1\/8, -33, 2.5 in decreasing order.\nAnswer: 3, 2.5, 2\/9, -1\/8, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdzdddzzdd. What is prob of picking 3 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-21) - 2\/7 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-736)\/115 - 3\/5) + 25.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 1:49 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -274595.497 and -0.0617.\nAnswer: -274595.5587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:31 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80072 by -8.\nAnswer: -10009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3517 - -25.\nAnswer: 3542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.132035 meters in kilometers?\nAnswer: 0.000132035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 35*p - 121. What is z(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 7*x + x)*(-4 + 0 + 2) + (-2 + 2 - 2*x)*(5 + 1 - 4).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 36. Suppose -3*t + s = b + 4, 4*t - 4*b - 40 = 0. What is the units digit of 14\/3 - (-2)\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24771955?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/147 and ((-1790)\/(-1120) - 5)*(-2)\/9.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**6 - 295*a**3*x**2 + 3*a**2*x - 2*a**2 - a + 6937*x**2 wrt a?\nAnswer: -360*a**3 - 1770*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in 4, 2\/5, -2, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-2) - -3)*0. Suppose i = 7*f - 10*f - 60. Let o be (50\/f)\/((-2)\/4). Solve -o*d = -4*w + 3 - 2, -3 = -d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1028 - 1009. Solve -q*u + 8*u - 22 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 725892*r = 725890*r + 8, 5*c - r + 85 = 0 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -63, 0, 3\/5, -3 in descending order.\nAnswer: 3\/5, 0.2, 0, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 562123.2?\nAnswer: 562123.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197 + 167. Let z = 11 - 7. What is the units digit of 2\/(z*(-3)\/y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 99058418 or 3?\nAnswer: 99058418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 - 4*n + n - 104)*((6 - 8 - 5)*(0 + 3 - 1) + 2 + 0 + 0).\nAnswer: 36*n + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (4 + 17 - 53) - 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 - 1*(-2 - 2). Let p(g) = 2*g + 1. Let m be p(2). Sort -3, -2, m, a.\nAnswer: a, -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 - 24274911703\nAnswer: -24274911703.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/18)\/((-4)\/15). Solve 0 = 2*r - 4*t - 3 - n, 2*r - 2*t = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 224698 = -85846. Let p = l - 87829\/12. Calculate the common denominator of p and 115\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(2\/11))*z)**(-13\/3))**(-10\/7)\/((z**(-2\/5)\/z)\/(z*z**(-9\/2)))**(-17) assuming z is positive.\nAnswer: z**(99367\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069479 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 652 + 76 = 2*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/51 + -20\/153. Let j = -2.6 + 3. Let f = -47 - -234\/5. What is the nearest to 2 in y, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 2. Let k be t(5). Let i be (-14)\/((k\/3)\/((-10)\/(-4))). Let d(o) = -o + 5. Let f be d(0). Solve -4*r - 5*w = 0, r + f*w + i = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(13) + sqrt(52)\/sqrt(4) + 1)*3)**2.\nAnswer: 1296*sqrt(13) + 17172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -31372 times 17\nAnswer: -533324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1738.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 32788416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 5. Let r be i - (-1 + (-4 - -4)). Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40554 is divided by 39837.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -11231 at most as big as -11231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 + (-3 - -6) - -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 7*o + 5. Let s be m(-8). Let d = 16 - s. Solve 4*c + 1 = -d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 2, -2 in ascending order.\nAnswer: -2, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let w(p) = 9*p + 2542. Give y(w(n)).\nAnswer: -9*n - 2542","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 342 + 6631. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 28 = -0*m. Let a = 0 + 20. Let k = 35 - a. Calculate the remainder when m is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/7 - 76*w\/7 - 272\/7 = 0. Calculate w.\nAnswer: -34, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*3*(3 + 1*(sqrt(325) + -2)) + -1)*-5.\nAnswer: 90 + 450*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1250) - (3 + sqrt(1250) + -1 + sqrt(1250))) + ((sqrt(1250) + (sqrt(1250) - -1*sqrt(1250)))*-1 - (-5 + 1*sqrt(1250) + sqrt(1250))))**2*3.\nAnswer: 4050*sqrt(2) + 303777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.62 - -0.81. Let z = 1.81 + h. Let f = 0.04 - 0.54. Which is the biggest value? (a) z (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/24981 and 26\/20439.\nAnswer: 224829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(5))**2*-5.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7284 and 42.\nAnswer: 50988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 449051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482.8843 decades to millennia.\nAnswer: 4.828843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 578, 872, 1166, 1460, 1754, 2048?\n\"Answer: 294*f + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from ynnnnnnnnnnn.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 155069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 58*g = -128*g - 199. Put 4, -2, g, 1720 in increasing order.\nAnswer: -2, g, 4, 1720","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h = 34*h + 8, -3*h = -5*t + 5224681. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 7. Let c = m - 41.39. Let l = c + 0.39. Which is smaller: -20 or l?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -41*p + 10 + 15 - 54*p + 97*p. Determine l(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1741 - -7.\nAnswer: -1734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 42. Suppose q + q = k. What is p in -q - 115*p**2 + 45*p**3 - 10*p**3 + 43 - 60*p - 50*p = 0?\nAnswer: -1, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5331 is divided by 1775.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 23*u**2 + 26*u + 4. What are the prime factors of t(24)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l**2 + 5*l - 5. Let u(c) be the first derivative of 5*c**3\/3 + 3*c**2\/2 - 3*c + 29. Give -3*q(n) + 5*u(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 60 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1871368 or 1871369?\nAnswer: 1871368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6\/(q\/(q*q**(2\/11))))\/((q\/q**(1\/4))\/q)**(-14\/5))**(-1\/16) assuming q is positive.\nAnswer: q**(-603\/1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 60, 0.3, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 27 = 2*v. Let g = v - 6. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + 3*p**3 + 6*p**3 + 6*p.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 96739481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138174 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2541630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 28 + 22 - d - 2*d**2 - 18 + 12*d. Calculate the remainder when 85 is divided by v(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 7, -3 in decreasing order.\nAnswer: 7, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 1 - 1\/6*w**4 + 38*w - 21*w**2 + 22\/3*w**3. Factor b(k).\nAnswer: -2*(k - 21)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 4*z**2 - 1. Let n be s(4). Let b be (6 - 2) + (2 - (-4)\/n). Suppose -2*f = 4*x + b, -16 = 3*x - 2*f - 4. Which is greater: -5\/9 or x?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, -1\/11, 0.2, 24?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - 31*h - 52. What is l(-13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6263 divided by 6263.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -13?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g - 15 = 0. Suppose -4*m = -47 + g. Are m and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 17 = -3*y. Let o be (-175)\/y + (-1)\/(-2). Let s = -3 + o. Solve 2*x = 4*x - s, -5*t = 3*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g + 21. Let s(b) = 14*b + 32. Let m(a) = -8*i(a) + 5*s(a). Let k be m(-5). Suppose 5*j**3 - j**2 - 8*j**3 - j**3 - j**k - 2*j**4 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 = 3412*v - 3430*v - 4*u, -3*v + 2*u + 7 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5 + 4783*b**4 + 3303390*b**3 - 9938878*b**2 + 9948449*b - 3317745 = 0.\nAnswer: -3945, -841, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5362, -5324, -5252, -5140, -4982, -4772, -4504?\n\"Answer: i**3 + 11*i**2 - 2*i - 5372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 3*c = 0. Let p(j) = j + 15. Determine p(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1457, 1392, 1327, 1262, 1197, 1132?\n\"Answer: -65*i + 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -162*d**4 + 1298682*d**3 - 3316058*d**2 - 13927122*d - 9696940 = 0.\nAnswer: -11\/9, 5, 8014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 136*0.2\nAnswer: 27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2729\nAnswer: -3\/2729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 9.245 (b) 0.4 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 568 and 72?\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -6. Let x = 3 - h. Let b = x + 7. Sort 0.4, 2, b in increasing order.\nAnswer: 0.4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**3\/6 + a**2 - 2*a. Let v be y(6). Let w = 32 + v. What is the remainder when w is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4029087 rounded to one decimal place?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 - 1242*f + 584781. What is d(-934)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 574 - -13892. What are the prime factors of g?\nAnswer: 2, 3, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + (-35)\/5 + 6. Suppose s*g + 3*b - 10 = 0, -17*g = -19*g - 4*b + 4. What is the greatest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 7942 = -1502. List the prime factors of x.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**2 + 3145*j - 28069. What is o(9)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - -38. What is p rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 192.6948 to one dp.\nAnswer: 192.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385477?\nAnswer: 269, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + -1 + 8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55384 divided by -6923.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96343319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 11165.\nAnswer: 11165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/(((m**(-5\/3)\/m)\/m*m*m)\/m))\/(m**3\/m)**(-3\/17) assuming m is positive.\nAnswer: m**(307\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -18. Let n be (6 + 0)*(-2)\/32. What is the closest to -0.1 in 0.4, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -691, -855, -1127, -1507, -1995, -2591, -3295?\n\"Answer: -54*x**2 - 2*x - 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f - 50. Let l(w) = 4*w. Let n(x) = 2*l(x) - r(x). Let y be n(-10). Which is bigger: y or -2\/579?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/((-10)\/4 - -3). Let t be (r\/8)\/(9\/(-24)). Let q be (t\/15)\/(88\/(-54) + 2). Which is smaller: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1183*a - 35857 - 43404 for a.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 7:02 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 j when three letters picked without replacement from wpcciddwdcpjw?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 29. What is the units digit of (14\/8)\/((-3)\/o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(125)*1 + (sqrt(20) - sqrt(5)) + 5 + -4 + sqrt(15)\/sqrt(3).\nAnswer: 1 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*u + 85, -7012*y + 7015*y + 5*u - 24 - 7 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7218364 + -10306042. Let k = y - -5087678. What is k rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 433000103 - 10?\nAnswer: 433000043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 0 + 2*b - 1 - 11*b as p + d*b and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 749 - 458. Let l = -1161\/4 + k. Suppose 3*f - 4 = -f. What is the nearest to 0 in f, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3420047604 or -3420047605?\nAnswer: -3420047604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 11 - (-21 + 26 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 588 + 1558. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 93*d**2 + 650*d + 3491. What is b(-86)?\nAnswer: -637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + 2*l**2 - 24*l. Let r be p(0). Solve r = m + 5, 5*u + m + 20 = 10*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 3*l + 6. Let n be f(-4). Suppose -4*v + 170 = 5*z, -v + 68 = n*z - 0*v. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13539 is divided by 89?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 0*o + 5*o)*(-3 + 3 + 2) + 25 - 25 - 19*o - o - 1 + 1 + (2*o - 5*o + 2*o)*(-1 - 3 + 3).\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -10 + 4, o - 5*z = 21. Let n(t) = -t + 6. Let p be n(o). Solve p = -2*s - 1 - 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from mmi.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 1122.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -930 by 5.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/3 + 27600*c + 11297792\/3.\nAnswer: -2*(c - 41536)*(c + 136)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, x: 2, q: 2, y: 1, s: 4}. What is prob of picking 2 x and 1 y?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4*g + 30 - 38 = -5*g, -4*k = 4*g + 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59942524.55918 - 59954282.7. Let p = z + 11776.14. Let t = p + -18. What is t rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -29. Suppose 2728 = 5*r - 3*b, -27*r + 30*r - 1689 = -4*b. What is the highest common factor of u and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12330000 rounded to the nearest 100000?\nAnswer: 12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 27\/(12*20\/5520)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6184 is divided by 875?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 610868650 from -1.8.\nAnswer: -610868651.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -4585444.\nAnswer: -5\/4585444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1032\/(-8))\/((-21)\/315) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 3*h**2 + 5*h - 4. Let j be s(4). Solve j = 3*x - 7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456664 and 4784?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:35 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 768 = -3*j, -3*d - 2*j - 614 = d. Suppose 2*b - 2 = -p + 8, -5*p + 14 = -2*b. Let z = b - d. List the prime factors of z.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/3705*26)\/(1\/(-30)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 3:20 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 0 - (-58478)\/60. Let m = a + -4754\/5. Find the common denominator of -99\/4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -11*s**2 - 3*s - 3. Let v(m) = -56*m**2 - 16*m - 16. Suppose 352*h = 349*h + 348. Let k = 100 - h. Determine k*i(c) + 3*v(c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011 (base 2) to base 6.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089032.\nAnswer: 2, 7, 19447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 76, 347, 3, 34 in increasing order.\nAnswer: -3, 3, 34, 76, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517 = 104*t + 419 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 8*r**2 + 2*r. What is a(-6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -966 + 970. Which is the fifth biggest value? (a) -3 (b) -7 (c) -2\/5 (d) -11 (e) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8539591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-46 + (-36 - -9) + 15)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 4*y + 5. Let c = -141 + 137. What is o(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 172046 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 399115*b**5 + 3915339*b**2.\nAnswer: 23946900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (135\/(-360) - 5\/8) + 2561. Which is greater: x or 2559?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-24) + (-9)\/(-4). Factor -a**2 + 6*a - a**2 - a**m + a**2.\nAnswer: -2*a*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 726?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28278383 from 6845156.\nAnswer: -21433227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35\/19 or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1. Let w = 7 - 11. Let f be (-9)\/(-6)*w\/(-6). Let h(r) be the third derivative of r**4\/6 + r**3\/2 + 1159*r**2. What is f*h(c) - 3*d(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 10:50 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 170940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 49 = 5*u. Suppose u*b - 11*b = -116. Let h = b + 5. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108336b (base 12) to base 2\nAnswer: -1100000010111001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/26 - 132\/(-13). Suppose -10*c = -5*c - s. Suppose 6 = b + n, -b - c*n = 3*n - 10. Calculate the remainder when 18 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2 - 5. Let m = b + 5. Solve 2*i + m - 12 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1634 and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 9*b**2 + 8*b - 20. Let m be w(9). Let u = m - 42. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r - 41. Let j be 0 + -17 + 36\/(-6) + 5. What is the remainder when y(j) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 3*b - 3. Let m be l(3). Let h be 3 + m - (1 - 11). Solve -4*p + 2*p = h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-8)\/(-14)))\/(1569\/(-9414)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 1}. Give prob of sequence vv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1957 - 3856 = -197*s + 3420 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -406*j*n**3 + 5*j*n**2 + 7*j - 695*n**3 + n + 23 wrt j?\nAnswer: -406*n**3 + 5*n**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1004 - 2*t + 11*t + 0*t.\nAnswer: 9*t + 1004","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13977 + -9460. List the prime factors of v.\nAnswer: 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + w - 1. Let s(d) = 3*d - 3. Let i be (-1904)\/63 - 4\/(-18). Let k = i - -30. Let p(x) = x**2 + x - 1. Let h be p(k). Give h*s(g) + z(g).\nAnswer: g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -593 - -592.7. Let b(u) = u**2 + u. Let a be b(4). Let o be (-47)\/(-5) + (-8)\/a. Which is smaller: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*u - 18, 6*u - 2*u = -5*r - 16. Let v be (-3 + (-320)\/(-35))\/u - 2. Which is smaller: v or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25717 - -25736. Calculate the remainder when 1042 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 6*a = 0. Suppose 0 = 3*u + m - 2*m, 4*m = a. Suppose 3*g - 6 = -u. Solve 2*n + 2*o + 4 = 0, 2*o + 14 = -n - g*o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/57 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421839.8 months in centuries?\nAnswer: 1184.8665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r = -r - 33*r + 528 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.8, 1 in decreasing order.\nAnswer: 9, 1, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-516)\/(-430)*160\/(-28)*7\/3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9861b - -12a?\nAnswer: -984f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 40 = -5*d, 2*d - 53 = -5*r - 20. Suppose 3*b + 3*k - 2 = k, 3*b = r*k + 37. Suppose -b*m = -5*m - 5. Sort m, 0.1, 1 in ascending order.\nAnswer: m, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 588*k**2 - 475820*k - 953992.\nAnswer: 4*(k + 2)*(147*k - 119249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = 3*s - 2*r, -s - 4 = -3*r. Let h = 12 + -11. Let k(q) = -q**2 + 1. Let l be k(h). Which is the smallest value? (a) 5 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1224.24*1476.\nAnswer: 1806978.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 160567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - u + 6)*(-2*u + 2*u + u**3)*(4 + 1 + 0).\nAnswer: -5*u**4 + 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*z**5 + 92120*z**2 - 92121*z**2 + 4741*z - 139*z**5 wrt z?\nAnswer: -2040*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274946853.\nAnswer: 3, 19, 23, 401, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*c + 6. Solve -2*o + c = -o - s, -3*o - 5*s + 10 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 51\/2*x**2 - 41*x + 98\/3*x**3 + 0. Is d(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n - 10 = -23*n, 4*a = -3*n + 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30*-25*(-6)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -12. Let s be (-6 + 288\/30)\/((-4)\/(-10)). Let h = s + j. Calculate the least common multiple of 14 and h.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 8*n**2 + 8*n + 2. Let s(i) = -5*i + 71. Let j be s(13). Suppose -12*b + j = -13*b. Determine d(b).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1. Let y(v) = -11*v**2 + 4*v + 4. Give 3*i(k) - y(k).\nAnswer: 11*k**2 - 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 0. Let n(w) be the first derivative of 0*w**v + 6 + 12*w - 6 + 6*w**2 + w**3 + 4. Determine z so that n(z) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + (sqrt(405)*-1 - sqrt(405)))**2.\nAnswer: -216*sqrt(5) + 1656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/29)\/(-2 - -3). Which is smaller: 2\/1581 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**3 - 7*b**2 + 7*b - 143. Let d(i) = -i**3 - 2*i**2 + 2*i - 47. Calculate -7*d(m) + 2*t(m).\nAnswer: -m**3 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f - 4*f - 2*f + 5*f to the form s + r*f and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 842976 - -28a?\nAnswer: 843155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3996 and 2.92.\nAnswer: -11668.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 2*i**4\/3 - i**3 + 7*i**2 + 37*i. Is s(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-32))\/((-45)\/(-24)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*n**3)*(-4*n + 5*n + 0*n) - 6*n**4 + 10*n**4 + 9*n**4 + (4*n**2 + 0*n**2 + 0*n**2)*(3*n**2 - n**2 - 4*n**2) + 2*n**2 - n**4 - 2*n**2.\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Suppose 4*j - 22 = 2*x, 0 = -d*j - 0*j - 3*x + 3. Suppose 0 = k - j*a - 22, -a - 4*a - 33 = -4*k. Solve 2*m + 12 = -k*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) - 69\/(-21). Suppose 3*w - 9 = z. Suppose n - 2*i - 9 = 3*i, 0 = 2*n - 5*i - 8. Put w, n, -4 in increasing order.\nAnswer: -4, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/80*306\/(-24)*5)\/3.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1*165)\/((-109305)\/(-14574))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1452 (base 6) to base 9\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130401?\nAnswer: 3, 14489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 9*k. Let t(a) = 2*a**2 + 4*a - 1. Let s(p) = l(p) + 4*t(p). Determine s(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 813003?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**6\/3 - 213*k**5\/20 + k**3\/6 - 1237*k**2 + 251*k - 21. Find the first derivative of s(r) wrt r.\nAnswer: -40*r**3 - 639*r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aax.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10556 - -10550. What is the biggest value in j, 0.7, -2.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5848 - -0.3848. What is the closest to 0.08 in g, 0.05, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 55.5 and 0.09.\nAnswer: 55.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 394*s + 7. Let g be x(-9). Let n = -35449\/10 - g. Calculate the common denominator of 41\/8 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -78788\/14843?\nAnswer: -78788\/14843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 156?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 211303023 (base 4) to base 3\nAnswer: 21212101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445307 is divided by 26077?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47 + 16 + 18)*(13*h**3 + 25*h**2 - 25*h**2)*(-43 + 6 + 1) to l + s*h**3 + j*h + f*h**2 and give s.\nAnswer: 6084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487.65 rounded to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (504\/8946)\/(1\/((-6)\/36)).\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 8 = -4*w. Suppose -3*q + q = w. Let z be -1 - (1 + (-2)\/(-1)). Sort q, 5, z in ascending order.\nAnswer: z, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 2*g**2 - 4*g + 2. Let z(f) = -f**2 + f - 1. Let m = -1 - -3. Determine m*z(a) + n(a).\nAnswer: a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7907 rounded to one dp?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7359, -7360, -7361?\n\"Answer: -i - 7358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8883*x + 9380*x + 3 + 1.\nAnswer: 497*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*u + 30*u + 26*u - 16385*u**3 - 16384*u**3 - 98*u + 32767*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -7*p + 9. Let j(w) = -w**2 - 11*w - 11. Calculate the smallest common multiple of 9 and j(p).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1\/9, -3, -2\/19?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 4. Suppose -3*m + 72 = -7*m - 2*j, 0 = -5*m + 3*j - 101. Let o be (1 - 0) + m\/n. Which is greater: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 6:28 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 5*p**2 - 8*p + 7. Let v be y(6). Let o(d) = d**3 + d**2 + 5*d. Let k(s) = -s - 558975 + 558975. Determine v*k(t) - o(t).\nAnswer: -t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 11*s - 27486. Let n = s - 2456. Let r = -614 + n. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, -8, -287 in increasing order.\nAnswer: -287, -137, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 2*d**3\/3 + 654. Let v(n) = 2*n - 223. Give b(v(f)).\nAnswer: 8*f**2 - 1784*f + 99458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(396\/(-27))*(-16)\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -966*z**2 + 548*z**2 + 419*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/18 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 301411 to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 4*x - 6. Let m be g(-6). What is the third derivative of -u**6 + 5*u**m - 2*u**6 - u**2 wrt u?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4688, -38275, -129562, -307397, -600628, -1038103, -1648670, -2461177?\nAnswer: -3504472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 4 + h - 5*h - 1 + 5*h. Let c(y) = 2*y - 4. Let j(p) = -3*c(p) + 2*q(p). Factor j(k).\nAnswer: 2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156318 divided by 10?\nAnswer: 78159\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 1)*(4*k - k - 5*k)*(-75 - 3*k + 36 + 47) to b*k + n*k**2 + t and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13724298997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u**3 + 47*u**2 - 6*u - 13249. Let q(r) = -r**3 + 3*r**2 + r + 3. Let h(c) = i(c) - 5*q(c). Differentiate h(p) with respect to p.\nAnswer: -6*p**2 + 64*p - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18a - -51a?\nAnswer: 6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000084448 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 875 (b) 4\/17 (c) -0.3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -314947 to the nearest 1000.\nAnswer: -315000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 53095\/1480 + 2\/16*1. What is the highest common factor of r and 882?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -129\/4, -1\/1407, -13?\nAnswer: -129\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 1464?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866480.\nAnswer: 2, 5, 10831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*c**3 - 9*c**3 - 15*c**3)*(1 + 1 + 0)*(2*c - 2*c + c) - c + c - 3*c**4 to q*c**3 + t*c + z*c**4 + g*c**2 + s and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1375, 5880, 13373, 23848, 37299, 53720, 73105, 95448?\nAnswer: 120743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 10 = -14*m. Suppose 6*h = m*h + 63. What is the remainder when h is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -667 + 661 - (-1 + 0 + 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + -1*sqrt(294)\/sqrt(6))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**6\/120 - 3*h**5\/20 - 5*h**4\/12 - h**3\/6 + 4*h**2. Let m be b(-8). Suppose 4*z - 5*z = -m. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -50*l - 15. Let i(q) = -13*q. Let r(k) = 4*i(k) - n(k). Calculate r(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*1*(-38)\/38*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 389011.4 litres?\nAnswer: 389011400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 o, and 1 t when three letters picked without replacement from ooqeoyqtyy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -307406 (base 10) to base 5.\nAnswer: -34314111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11150964 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/1350 and -76\/189.\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/537 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 3*g**2 - 2*g + 1. Suppose 0 = -v - 3*v + 28. Suppose 0*w = j - 2*w - 8, 5*w + v = -4*j. Suppose -m - 12 = j*m. What is r(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 19*n + 13*n.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14967, -16108, -17253, -18402?\nAnswer: -19555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (0 + 19)) + 17 + 5 + -11 + -2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1316\/(-436) + (220 - 214)*(-1 + (-3)\/(-2)).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 365844770*f**4 + 219697340*f**2 + 2*f?\nAnswer: 8780274480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -11*n**2. Let k = -85 - -106. Let a = k - 22. What is q(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 377626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Suppose 4*z - z = 4*z. Let r be (1 + z)\/(-2 - -1). Sort l, r, -4 in increasing order.\nAnswer: -4, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from ygbphpi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/1180*(2\/(-10) - (-11)\/5)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69006883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmttmmm. Give prob of picking 2 t and 2 m.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 56*z - 19. What is y(24)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + -13 - 0 - -12?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 9 + 9 + 3 + 2 + 30 + -8?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, -10794 in increasing order.\nAnswer: -10794, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.9 and -102.2262.\nAnswer: 1114.26558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4381 a factor of 148318755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Let r = -264\/7 + 3446\/91. Is r at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 8. Let o be u(4). Let t = -3 + 8. Suppose -t*m + 3 = -o*m. Solve 12 = -v - m*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**14))\/((d**(-20)\/d)\/d) assuming d is positive.\nAnswer: d**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -12*a - 9*a**2 + 10 + 9\/8*a**4 - a**3 + 3\/10*a**5. Factor j(m).\nAnswer: 3*(m - 2)*(m + 1)*(m + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 908 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -10.41, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 2958, -60524, 1\/3?\nAnswer: -60524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 32*n - 241. Let k be y(8). Suppose k*o + 26 = 20141. Is o a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -1\/6*f**3 + 27*f + 2 + 0*f**2. Let o(k) = -28 + 28 + 5*k. Give o(g(w)).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -30*a**2 + 33*a - 33. Let n(g) = -38*g + 24. Let x be n(7). Let y = 240 + x. Let u(w) = w**2 - w + 1. What is y*p(b) - 66*u(b)?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + r = -4, 3*s = -r + 6 + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5607 + -788. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3262, -8031, -14314, -22111, -31422, -42247, -54586?\n\"Answer: -757*p**2 - 2498*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -875 + 435 + 440 + 2*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 113 = -5*f, 0*f + 5*s - 41 = f. Let w = f + 30. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -231 - (-33 + -75) - -86?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuu when three letters picked without replacement from {i: 3, u: 3, y: 1, p: 6}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 1\/168*t**8 + 10*t**2 - 1\/30*t**6 + 0 - 1\/105*t**7 + 1\/12*t**4 - 1\/3*t**3 + 0*t + 1\/15*t**5. Find a, given that u(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(17) + 0 + sqrt(2057) + sqrt(2057))**2 + 1*(-1 + sqrt(17))**2).\nAnswer: -8*sqrt(17) + 36044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.21 + -0.01. Let d = -6.9 - -11.9. What is the nearest to -1\/4 in w, -2\/3, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2*429\/260*(-8)\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quh when three letters picked without replacement from nunhqpqcnnpp?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 87\/(-90) + 6\/36. Sort n, 1, -5 in decreasing order.\nAnswer: 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(7*w**3 + 4*w**3 - 4*w**3)*(-2 + 2 + 6*w) as c*w**2 + p*w**3 + x*w**4 + b*w + z and give x.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 - 336*t\/5 + 4576.\nAnswer: -2*(t - 52)*(t + 220)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*g**3*i**3*s**2*y + 3*g**3*i*s**2*y + g**2*i**3*s**3 + g**2*i**2*s**2 - 2*g*i**2*s**3 + 2*g*s**2*y wrt i.\nAnswer: -66*g**3*s**2*y + 6*g**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*1\/2 - 0. Suppose -4*y - 7 + 23 = h. Let j(p) = 2*p - 13. Let o be j(y). Put 0, o, -1 in descending order.\nAnswer: 0, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 11*p**7\/210 - 17*p**6\/120 + p**5\/10 - p**2 - 195. Factor b(s).\nAnswer: s**2*(s - 1)*(11*s - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 27 = -2*h + 4*u, 3*u = 5*h - 36. Suppose -3*j - 96 = -3*r, 0*r + 4*j = 2*r - 58. What is the remainder when r is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41750 + 167015\/4. Is p at most 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 30 and 5689\/184 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-935)\/(-22))\/17 + -3)*217\/93?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x. Let d(f) = 221*f**2. Determine y(d(j)).\nAnswer: -663*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -108 - (-4 + 2). Let w be j\/248 + (5 - 105\/20). Is 2\/5 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21816 divided by 18?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -287*z + 3. Let l(n) = 34 - 34*n**2 + 32*n**2 - 34 + 3*n**2. What is c(l(d))?\nAnswer: -287*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 12*q - 2. Let x be u(4). Let y = 187 - x. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -199812 - -1743759322\/8727. Does y = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38337?\nAnswer: 3, 13, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6317*j + 3412 + 4864 + 85182 = 7443*j for j.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -27*h + 23. Give a(3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37 and 0.21.\nAnswer: -7.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1161412 (base 8) to base 3\nAnswer: -121021022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14414 - -15300. What is the remainder when c is divided by 324?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210855748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -8.1?\nAnswer: -4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 112\/(-70) + (-2)\/5. Calculate the remainder when (x + -1 - 68)*-1 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from xoxzyjjoozoohzhzjhoh?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2. Let t(a) = 5*a + 4*a - 10*a. Determine c(t(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/22035 and -1\/3.\nAnswer: 22035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50131150332 - -3?\nAnswer: 50131150335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(432)*-3 + sqrt(432).\nAnswer: -24*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -516?\nAnswer: -516.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h - 17. Let z(y) = 3*y - 6. Let i(d) = -2*k(d) + 7*z(d). Let t be i(6). Put t, 3, -5 in increasing order.\nAnswer: -5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2805.\nAnswer: 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 672800000*o**3 - 506224000*o**2 + 1218980*o - 735.\nAnswer: 5*(4*o - 3)*(5800*o - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/3, -1 in decreasing order.\nAnswer: 1, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 5.8. Let u = -2.8 - g. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*s - 99*s = 218. Suppose -3*v + s = -154. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.18 + 0.18. Let x = y - 3. Let m = 40.000335 + x. Round m to 5 decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2\/b*b\/b**(-2))**(-37)*(b**4\/b**(-2\/5))\/(b\/((b**(-3)\/b)\/b)*b*b**(-1\/9)) assuming b is positive.\nAnswer: b**(-6772\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -6339.\nAnswer: -50712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 104*o + 1519. What is l(-3)?\nAnswer: 1207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/87695 - -16135698\/7980245. Let g = 30\/13 - l. Solve 0 - g*f**2 + 0*f + 2\/7*f**3 = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 less than -99239287?\nAnswer: -99239643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*x**3 - 2*x**2 + 12?\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 470 + 73 + 300 + 192*c**3 + 29 + 65*c**3.\nAnswer: 257*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**2 - 49*t + 42. Let x be m(6). Put -0.04, x, 13, 2 in increasing order.\nAnswer: -0.04, x, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11243229 and -5553.754.\nAnswer: -11248782.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 5)*(-j - j + 0*j) - 2*j + 4*j + 0*j)*(2 - 6 + 2)*(-2*j + 2*j + j) - 5*j**2 + 0*j**2 + 10*j**2.\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4.7424188 + -3.47\nAnswer: 1.2724188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -0.16, 1\/5, -1\/3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5283 (b) -80 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 321163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2)*-5 + sqrt(12) + (3*sqrt(1200) - sqrt(1200)) + sqrt(1200))\/((sqrt(120)\/sqrt(3)*3)\/sqrt(10)*-6).\nAnswer: -13*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 19*r - 25. Let n be s(-17). Solve -5*v - n = l, -11 = -l + 2*v + 3*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -165\/2509 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 3, k: 2, c: 1, q: 3, y: 2}. What is prob of sequence qz?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29228 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -49796 divided by -3230?\nAnswer: 24898\/1615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 475*l**2 - 2*l - 2. What is the hundreds digit of r(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 257590*j**2 + 3183722080*j + 3483478364800.\nAnswer: 5*(j - 26264)**2*(j + 1010)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**2\/4 - 115*h\/4 - 325\/2 = 0.\nAnswer: -13, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 968?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d. Let s(j) be the second derivative of -7\/6*j**3 + 0*j**2 - 8 - 5*j. Determine t(s(h)).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (3 - (21 - -2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 48 = -3*w, -h - 96 = h - 5*w. Let y = 34 + -80. Is y greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 times 68725\nAnswer: 171812.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -171 + 215. Calculate the remainder when 305 is divided by j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27227835\/60 - (1\/5)\/((-32)\/(-40)) 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 -2*b*p**2*x - 2*b*p**2 + 21*b*x + 3*b - 3238*p**2*x wrt b?\nAnswer: -2*p**2*x - 2*p**2 + 21*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112 + 173250210.\nAnswer: 173250322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -0.2 (c) 5 (d) 2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 - -34?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -63\/4. What is the smallest value in p, -2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -26, 1, -4 in ascending order.\nAnswer: -26, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5791 - -5\nAnswer: 5796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33166193 and 959?\nAnswer: 232163351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6055.19 + 6091. Round p to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**2 + 161*t**2 + 18*t**2 - t.\nAnswer: 144*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:46 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 70\/(-15)*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 5:15 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 15) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k + 3. Let y be a(1). Find x, given that 7*x**4 - 26*x**2 - 24*x + 2*x**4 - y*x**4 - 3*x**4 - 12*x**3 - 8 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 380 and 128?\nAnswer: 12160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 - 2 = 0. Let b be -158*(1 - (-15)\/(-6)). Suppose -k + h*k - b = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - (-80)\/8 - -346 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7 - 3 - 3. Let l(m) = m - 1. Give 2*l(j) + 3*p(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2 - c + 3. Let r(n) = n**3 + 10*n**2 - 3*n + 8. Let w be (2\/4*10)\/(45\/27). What is w*r(g) - 8*k(g)?\nAnswer: 3*g**3 + 6*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 5*v**2 + v + 7. Let l = 4 + 1. Let f be a(l). Calculate the greatest common divisor of 108 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6701.\nAnswer: 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -1 - 11. Let d be ((-15)\/9)\/((-2)\/f). Suppose -5*z = d*i - 10, -5 = -4*z - i + 18. What is the greatest common divisor of 28 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a kilogram in grams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46790464 divided by -417772.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34330063 to the nearest integer?\nAnswer: 5859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12474 and 432?\nAnswer: 99792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**3 - 579*n**2 - 288*n - 6. Give p(-96).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -102, -0.5, -1\/4, 1, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 15. Suppose 0*n = 3*n - 15. Suppose n*z + 14 = 3*o, -3*z = -4*o - 2*z + 13. Solve -b - o = -t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 1:59 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -420844 bigger than -420845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 33*m**2 - 39*m - 55. Give z(34).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3676*s - 44112. What is m(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 4*t**2 + 5. Let m be 9\/(-6) + 11\/2. Let r be d(m). Suppose 0*g = -4*i - 4*g, -3*i = -r*g + 8. Is -0.1 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1)*(-4301)\/(-506)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 41885002 divided by 1\nAnswer: 41885002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 2564 in descending order.\nAnswer: 2564, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/374484 and -11\/12?\nAnswer: 374484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - j - 17, 4*l - 16 = -2*j + 6 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oobaaao. What is prob of picking 1 o and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**2 - 40629*z + 81246 = 0.\nAnswer: 2, 13541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -228 divided by 69\nAnswer: -76\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1701169 - 849593 - 843956 + 4470*z wrt z.\nAnswer: 4470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 - 166*t**2 + 2336*t - 613. Give h(-67).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -55*d + 4. Calculate the remainder when o(-7) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.8201 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195619 and 2991820.\nAnswer: 50860940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -10620 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -14764077?\nAnswer: -14764074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 16 - 5. Suppose 4 - w = -4*n + m, -5*m = 5*n - 40. Solve n*r + 8 = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3358 = 18*f - 890. Let i(v) = 1 + f*v + 225*v + 0 - 454*v. Let b(k) = -k**2. What is i(b(g))?\nAnswer: -7*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 74616 (base 10) to base 5\nAnswer: 4341431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 1)\/(2\/(-10)). Let j be (-3)\/65 + 1\/c. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i, 5 = 5*g - 5*i - 0. Let z(s) = -s**2 + 4*s - 3. Let d(q) = -q + 1. Let r(m) = g*z(m) + 4*d(m). Let l(h) = -5*h**2 + 6. Calculate -l(t) + 6*r(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1222485 and 5.\nAnswer: 1222490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8855.0015629 - -8855. What is c rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13018439?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 835 - 1819 - 7683 + 0*m**3 + m**3 + 92 - 2*m + 2*m**2 to the form k*m**2 + v + z*m + u*m**3 and give v.\nAnswer: -8575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167863 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2281*m - 37. Let g(q) = 3421*q - 52. Calculate -7*d(l) + 5*g(l).\nAnswer: 1138*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000204159 to 7 dps.\nAnswer: 0.0000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/66 and 143\/27570?\nAnswer: 303270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -5 + -4 - 7) + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -722 + 732. Let t be 1\/(2 - 10\/6). Solve -3*j = -2*f + z - 32, -t = -f - 2*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/12)\/y*y**9\/y)\/(y*(y**(-2\/23)\/y)\/y)**(-42))**(-37) assuming y is positive.\nAnswer: y**(393865\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z. Let t(s) be the second derivative of -1\/3*s**3 + 87\/2*s**2 - 6 + 10*s. What is t(q(h))?\nAnswer: -4*h + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-336)\/192*4\/14.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 13*n - 381. Let m be x(42). Are -1598 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54513140 divided by 10902628?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-36)\/(t**(-20\/7)\/t)*(t\/(t*t**(-23)))**(2\/13) assuming t is positive.\nAnswer: t**(-2603\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.0243475 milliseconds?\nAnswer: 24.3475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11989787 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -1\/90*o**5 + 78*o**2 - 10816\/9*o**3 + 0 + 0*o - 52\/9*o**4. Solve m(h) = 0 for h.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8888005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65509 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x - 39 = 929. Suppose -2*y - 2*m + x = 0, -5*m - 143 = -4*y - 10. Find the common denominator of (-3)\/12 + (-14)\/(-8) and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10631 <= 10626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*c + 28 = -2*c, 0 = 2*m - 2*c - 4. Suppose 3*x + 0 - 3 = 0. Let u = x + m. Which is smaller: u or -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60731129509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 2085088.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 3, m: 3, u: 3, g: 2, a: 2}. Give prob of picking 1 u, 1 m, and 1 g.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*1*(-11)\/22. Suppose 69 = f*a - 24. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3816 = -8*a + 4*a. Suppose -3*b - 2*s = b - a, 3*s - 236 = -b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149228153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002234 to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 57520.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*t = -5*t, 4*f = -2*t + 12. Find the common denominator of 2 + f\/((-30)\/153) and 41\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*p = -5*h + 20, -3*p = -2*h - 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 300 = -2*q + 738, -5*q = -4*l - 1023. Does 17 divide l\/(-10) + 3\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145698.\nAnswer: 2, 3, 7, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.08, -0.03, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o + 186. Does 12 divide c(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -41568918?\nAnswer: -41568918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8309 - -20076. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w + 16. Let u(s) = 4*s + 15. Let b(t) = 3*q(t) - 4*u(t). Let a be b(-11). Suppose 0 = 2*h - 2. Sort a, h, -3 in increasing order.\nAnswer: -3, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5504 - -5633. What is the remainder when 1545 is divided by c?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -4 (c) 0 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0650300547 - 3.\nAnswer: -3.0650300547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1010023 + -2?\nAnswer: -1010030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129695165.\nAnswer: 5, 31, 419, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10135?\nAnswer: 5, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-72960)\/1672 - 220\/(-5)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 10:00 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 1194812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 1527*c - 1528*c. Which is smaller: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4432249 divided by 8.\nAnswer: -4432249\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -5\/4 (c) -2\/4783 (d) 2\/9 (e) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 483.3501km to micrometers.\nAnswer: 483350100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1680 and -151\/52920.\nAnswer: 105840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.74644 and -0.2?\nAnswer: 9.94644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1. Let o(c) = c + 9. Let h(r) = 3*m(r) - o(r). Suppose 0 = 3*i - 5*a + 4 + 38, -5*a = -i - 24. Let u be h(i). Solve 0 = 2*x + 1 + u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 113*p**6\/24 + 85*p**4\/12 - p**3\/6 - 15*p**2 + 8*p. What is the second derivative of l(w) wrt w?\nAnswer: 3390*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = j + 6, 0 = -4*j + 3*s - 1 - 8. Solve 0 = 5*d - j*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 830, 1818, 3192, 4958?\nAnswer: 7122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 4, h: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 92799, 183801, 274801, 365799?\n\"Answer: -l**2 + 91005*l + 1795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315770 rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*v - 310 = 0, -v + 880 = -2*g + 5*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.732 * 5.2\nAnswer: -29.8064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 - 54*d - 58. Let r(h) = -16*h + 65 + 4 - 2*h**2 + 70*h - 13 + 0. Let j(m) = -3*r(m) - 2*x(m). Factor j(g).\nAnswer: -2*(g + 1)*(g + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 305444041 - -5?\nAnswer: 305444046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3727*a + 10017 = -7509*a + 3581*a - 9681 for a.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5442880 (base 9) in base 7?\nAnswer: -33556302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**4 + 440*i**3 + 2112*i**2 + 1224*i - 3780 = 0.\nAnswer: -105, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:21 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - g + 33033 - 5404, -4*i = -4*g - 27624. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/4 + -1)\/((-31)\/(-124)). Let f(j) = 3*j**2 - 5*j + 6. Let r(l) = -6*l**2 + 9*l - 11. Determine m*f(p) + 6*r(p).\nAnswer: -3*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 7\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 45*c + 324. Let m be b(36). Solve -19*s - 4*s - 92 = m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4330585 centimeters to meters.\nAnswer: 0.004330585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.3254114 hours to weeks.\nAnswer: 0.079317925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 19.64574 and 22544294.\nAnswer: 22544313.64574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, 2, 27, 62, 107?\n\"Answer: 5*r**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 0, 1, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1158, -113, 1628, 4065?\nAnswer: 7198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/(sqrt(891)*2))\/(((sqrt(4608) - (sqrt(4608) - (2*sqrt(4608) - sqrt(4608)))) + sqrt(32))\/sqrt(4)).\nAnswer: sqrt(5)\/234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 78199.\nAnswer: 78198.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.33669 + -0.333. What is a rounded to 4 dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(1\/(-2))\/(-1). Let y(u) = 0 + k - 7*u. Let d(p) be the first derivative of -p**2 + 9. What is y(d(x))?\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 + (1 - 10)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v = -0*v. Suppose -19*h + 135 + 207 = v. Suppose -h*l = -7*l. Solve 20 = 3*d + i, 5*d + l*i = 2*i + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4463 times -3?\nAnswer: 13389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11089812649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d - 4. Suppose 2*x = 33*x - 124. Solve x = f + d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 679?\nAnswer: 6790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*w, 54*w + 952 = 2*x + 58*w. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85762207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*r**4 + r**3 - 300*r**2 + 253213 wrt r?\nAnswer: -52*r**3 + 3*r**2 - 600*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 53745*k + 4373028.\nAnswer: -3*(k - 17996)*(k + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11223110 (base 4) in base 8?\nAnswer: 55324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-4 - 0) + 4 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-1 + 1\/(-2)). Let p be 13 - -6*(-3)\/6. Suppose 3*q + 2 = -2*t, q = 4*q + 4*t + p. What is the greatest common divisor of a and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-4)\/(-4))\/1)\/(580239\/(-36265) - -16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10140\/(-390) + (0 - 3\/(-1)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:58 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*7 + (-20)\/10 + -2. Let m be (48\/(-18))\/((-2)\/i). Let t(r) = -2*r + 1. Let d(c) = c. Determine m*d(h) + t(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 22 = 4*f, 2*f + q = -3*q - 8. Calculate the lowest common multiple of f\/2 - (-1 + -11) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q + 3*q**2 - q**4 + 3 - 2 - 3*q - 6*q to l + x*q**4 + o*q + k*q**3 + n*q**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Suppose -2*q = -o - 2, 2*o = -0*o - 3*q + 17. Find the second derivative of f*s + s**4 + o*s - 5*s wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2849 divided by -259.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 36*b**4 - 70813*b**3 + 5828603*b**2 - 5917711*b + 159885 = 0.\nAnswer: 1\/36, 1, 85, 1881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 248*o + 5 - 8 = 245*o + 15, 0 = 26*l + 4*o - 148 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4\/5 - 2367*c**3 - 23691*c**2\/5 + 35523*c\/5 = 0. Calculate c.\nAnswer: -3, 0, 1, 3947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/3 + 5\/3*w**2 + 8\/3*w + 1\/3*w**3 = 0. What is w?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**23)*(i\/i**(-1\/3))\/i assuming i is positive.\nAnswer: i**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 9*r + 2. Let h be (-12)\/(-18)*1*69\/1. Suppose -h = 14*c + 52. Determine i(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778*c**2 + 383*c**2 + 386*c**2.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28042965, 28042973, 28042987, 28043007, 28043033?\nAnswer: 28043065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -29*j**4 + 18*j**2 + 4*j + 4. Let t(b) = 58*b**4 - 36*b**2 - 7*b - 7. Let g(r) = -7*h(r) - 4*t(r). Find the third derivative of g(l) wrt l.\nAnswer: -696*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/9 (b) -0.02 (c) -1\/44 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - b)*(16 + 14 - 27).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.88713ml to litres.\nAnswer: 0.07288713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 11530.\nAnswer: 1\/11530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1093, 4275, 9569, 16975, 26493?\nAnswer: 38123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -7653 and -7653 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154301464.\nAnswer: 2, 151, 127733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/544*17 + (-96311)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**7\/12600 + h**4\/24 - 2*h**2. Let r(n) be the second derivative of i(n). Factor r(s).\nAnswer: s**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + -2 + -1 + 6 + 9. Differentiate 26*m**2 + 22 - 15*m**2 - t*m**2 with respect to m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 184247 and 0.4.\nAnswer: 73698.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-3)\/1170)*5\/15. Suppose 0 = 19*z + 16 - s. Solve -10 - z = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.68, 4, -4, 0, 5, 3\/4?\nAnswer: 3.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 55113.8?\nAnswer: -55113.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1508, -1511, -1514, -1517, -1520, -1523?\nAnswer: -1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 9*v**2 - 9*v + 6. Let q(u) = 3. Let i(k) = -2. Let d(a) = -8*i(a) - 5*q(a). Let n(j) = -2*d(j) - m(j). Let f be n(8). Is f bigger than 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 4*z**2 + 13*z - 6. Let i be f(6). Suppose 0 = -i*n + 4*n - 352. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 0 + 3 + 0. Let f(k) = -k - 4. Let l = 4 + 3. What is l*h(t) + 5*f(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296214542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 168\/11 in -1, 1\/16, 1\/15, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k*k*k**(1\/2))))\/k)\/k**(-2\/23))\/(k*k**(-1\/3)*k**(-2\/7)) assuming k is positive.\nAnswer: k**(1165\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 7:07 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*c**3 - 38 + 37 - 7*c**3 - 14*c**3.\nAnswer: 67*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eehh when four letters picked without replacement from {h: 6, e: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 15 = -5*w + 5*t, 0 = 3*w - t - 14. Let z = 70 - 65. Solve 2*g - 8 = z*i + 3*g, 0 = -2*i - g - w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 115 = j, -8*j + t = -13*j + 593. Calculate the least common multiple of j and 153.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.5 (b) 1 (c) 0.5 (d) 5\/41 (e) 0.57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v - 6. Let m be ((2 + -4)\/(-4))\/v. Let t = -1583 - -1577. Sort 1, t, m, 5 in descending order.\nAnswer: 5, 1, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-3))\/(t\/(t**(-2)\/t)))**(-2)\/((t**1*t*t)**1\/(t**(1\/3)*t*t\/t**(-4))) assuming t is positive.\nAnswer: t**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 0, 4, -2, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 1\/77 (c) -0.3224 (d) 2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 256415981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 - -18. Let u = -89 - t. Round u to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -91?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 26 = -3*o + 1, 0 = -4*o + q + 23. Let f(v) = -v**2 + v + 12. Let g be f(0). Suppose -o*t = -87 + g. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 362\/5 or 73?\nAnswer: 362\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360378 - 16075 = -11*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -806, -809, -812, -815?\n\"Answer: -3*c - 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -373, 0.03, -405, 8\/5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 + -45. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*r - 773 = 37*r + 272 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q**2*x**3 - 2*q**2*x + 148*q**2 + 5*x wrt x.\nAnswer: -12*q**2*x**2 - 2*q**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 14. Determine q(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -396 in -700, 4, -0.3, -0.2, -15, 0.5?\nAnswer: -700","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -2\/9 (c) 0.19 (d) 3 (e) -1 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**6\/120 + v**3\/6 - 5*v**2. Let q be i(-1). Suppose 6*s = q*s + 16. Calculate the greatest common divisor of 36 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 478 and 803279?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1571 and 309487.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12813 + 18736. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37470 divided by -11\nAnswer: 37470\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 4*r**2 + 18*r**4 + 2 - 88*r + 87*r as s*r**2 + y*r**3 + n*r**4 + v*r + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645 = -27*a + 591 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644046 is divided by 71552?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 851, 1650, 2459, 3284, 4131?\n\"Answer: m**3 - m**2 + 795*m + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 1, 1\/2, 5, 25, 4 in descending order.\nAnswer: 25, 5, 4, 1, 1\/2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -239*i - 574. What is the hundreds digit of a(-23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3151874 is divided by 95.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 280 = -2*l. Let o be (l\/(-2))\/4 - 4. Solve -2*t = -3 - o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10557 and -2671453854?\nAnswer: 2671443297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-40)\/(-8)*4\/(-20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**3 - 4*q**2 - 4*q - 1. Let c be l(-2). What is the highest common divisor of 589 and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**5 + 3381*f**4 - 571230*f**3 + 26332410*f**2 + 571233*f - 26335791 = 0.\nAnswer: -1, 1, 97, 933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 4*u**2 + 11)*(65 - 83 - u + 2*u).\nAnswer: -4*u**3 + 72*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(4\/3)\/j**14 assuming j is positive.\nAnswer: j**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 35. Let g = -8 + t. Let v = g - 10. Which is the closest to 1\/6? (a) v (b) 2\/5 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*n**2 - 2*n**4 + 27*n**2 - 31*n**2 + n**3 to s*n**2 + j + h*n**3 + i*n + c*n**4 and give s.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/9 of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3973799?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by 1.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*u*u\/u**(1\/12))**(-14) assuming u is positive.\nAnswer: u**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 4, 171, 544 in descending order.\nAnswer: 544, 171, 4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 76, 171, 292, 433, 588, 751?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5913073 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 247, 273, 315, 367, 423?\n\"Answer: -a**3 + 14*a**2 - 9*a + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 139)*(-48)\/(-55). Let a = -127 - t. Calculate the common denominator of 13\/7 and a.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 470\/11 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -206 + 2268\/11. Let w be -5 + 7 - (-1)\/(1 - 2). Is w > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 265?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 6, -4, -1671 in ascending order.\nAnswer: -1671, -82, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, e: 4, t: 1}. Give prob of picking 1 a and 1 t.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1248 and 38912?\nAnswer: 1517568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2 = 5*z - 4*u, 0 = z - u + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 477195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3)**(-17))**(-17\/2) assuming m is positive.\nAnswer: m**(867\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009581 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 41 = 4*n, 14 = -5*n - 7*h + 6*h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(-817*y + 268*y + 258*y + 257*y).\nAnswer: -34*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4\/4 + 422073*y**3\/4 + 14845679145*y**2\/4 + 14845257075*y\/4 = 0.\nAnswer: -70345, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 3*w**5\/10 - 3*w**2 + 3*w. What is the first derivative of f(o) wrt o?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) 0.1 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9820*s - 12776*s - 21692*s - 10419*s.\nAnswer: -35067*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28607677 - -50869804. Let w = -9637873 - r. What is w rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.23593679.\nAnswer: -0.70781037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**5 + 1127136*v**4 - 2254284*v**3 + 1127144*v**2.\nAnswer: 4*v**2*(v - 1)**2*(v + 281786)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.902 rounded to 0 decimal places?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.014 + -81.014. Let o = s - -78. Let p = 1.5 - 1.9. What is the third biggest value in o, p, -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-3))**(-45)\/(((z*z\/(z\/(z**(-7)\/z))*z)\/z*z*z)\/z**(-1\/3)) assuming z is positive.\nAnswer: z**(-526\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**2 + 6*z**2 - 6*z**2 + z**4 + 15*z**2 wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13910577 to the power of 1\/2, to the nearest integer?\nAnswer: 3730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -900, -1026, -1152, -1278?\nAnswer: -1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3299*p**2 + 1127?\nAnswer: -6598*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-500.6.\nAnswer: -250.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 + -2 - (-1 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbba when four letters picked without replacement from {a: 13, b: 5}.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 676 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 3*w**2 + 0*w**2)*(-w**2 + 2*w**2 - 2*w**2) + (-11*w + 13*w + 16*w)*(0*w**3 + 2*w**3 + 3*w**3) + 2*w**3 + 3*w**4 - 2*w**3.\nAnswer: 91*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 137?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2116720, -2116682, -2116634, -2116576?\n\"Answer: 5*h**2 + 23*h - 2116748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/350 and -79\/60.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l. Let p be z(6). Suppose -12 = -4*b, 5*b = -5*g + 9 + p. Let w = -2 + 2. Solve w = -g*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2 - -3 - 1) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0073274019 rounded to six decimal places?\nAnswer: -0.007327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58880 is divided by 33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 185403 = -14*o + 19*o, -4*x = 4*o - 148344. Does 157 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 5*s = -3*p + 15, 3*s - 5*p + 24 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260\/(-15)*(-6)\/(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67792958 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -16*w**2 - 13*w + 10. Let p(m) = 7*m**2 + 5*m - 5. What is -7*p(r) - 3*y(r)?\nAnswer: -r**2 + 4*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5 = 5*f, 2*x - 4*x = 3*f. What is the units digit of (7\/f)\/(-8*4\/(-2752))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 11*k**2 + 3*k + 11. Let c(j) = -j + 8. Let r be c(-3). Let v be y(r). Let d = v + 25. Is 32 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89660506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**45*w\/((w\/w**(2\/3))\/w)*w\/(w\/(w\/w**(1\/3))*w)*w**(-4\/7)*w**(3\/8)*w*w**(3\/8)*w\/(w*w\/((w*w**5)\/w)*w) assuming w is positive.\nAnswer: w**(-3317\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.43779748 and -1269.391.\nAnswer: -1272.82879748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7700 = -5127*m + 5237*m for m.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2. Suppose 5*q - 4360 = f - 0*f, q + 4*f - 851 = 0. Let n(j) = -871*j - 5*j**2 + q*j. What is w(n(o))?\nAnswer: 75*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**3 - 48*i + 1972 wrt i.\nAnswer: -6*i**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b + 15. Let h be l(3). Suppose 4*z = h*i + 24 - 7, 3*z - 3*i = 12. Calculate the lowest common multiple of 80 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/21019 + 42056\/189171. What is the fourth biggest value in b, 4.9, 2\/5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/100950 and -19\/274584.\nAnswer: 6864600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 7*d**2 + 4*d - 32. Let z be y(4). Which is smaller: z or -9\/8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-288)\/48 - (4*-3 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 7 - 7)*(2 - 2 + a)*(-1 + 1 + 2) as p*a + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4, -i + 3*w - 38 = 6*w. Do -33 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-124588.6028\nAnswer: -124588.3028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 70*n**2 + 434*n + 114. Calculate h(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 1641*a**3 + 3472624 - 2*a**2 - 3472624.\nAnswer: -1641*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Let g be 6\/(-15) - 60\/(-25). Suppose 0 = n*i - g*i - 97. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 + 16*a + 17. What is the lowest common multiple of 48 and k(6)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -4, 1, -14 in decreasing order.\nAnswer: 1, 0, -4, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/(42\/(-105))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140052 bigger than -140303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*z - 19, -5*r - 996 = 2*z - 995. Suppose 3*s - 2*g + 60 = g, 5 = -5*g. Let a be ((-14)\/s)\/(4\/(-6)). Sort 2, r, a in decreasing order.\nAnswer: 2, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let b(x) be the first derivative of -18*x**3 - 47. Give b(a(g)).\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.44 times 0.01?\nAnswer: 0.0844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/9)\/o**(-11\/6))\/(o*o**19*o*o)**(-3\/14))**(-8) assuming o is positive.\nAnswer: o**(-3412\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 176.2 + -176. Let g = 28.9 + -31. Let c = g + 2. What is the third smallest value in -2, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((40 - 30) + -22 + 0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 11:55 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 11*i**2 - 2*i - 4. Let l(k) be the first derivative of 4*k**3 - 1\/4*k**4 + 3\/2*k**2 + 272 + 5*k. Determine 4*l(t) + 5*z(t).\nAnswer: t**3 - 7*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2585264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4558124, 4558118, 4558108, 4558094, 4558076, 4558054, 4558028?\n\"Answer: -2*s**2 + 4558126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4330 and 580130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-112)\/14 + 1215\/(-2). Let h = -591 - g. Which is smaller: 26 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skd when three letters picked without replacement from {s: 2, g: 2, k: 1, d: 1, l: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 15. Let o be q(14). Let g(i) = i. Let y be g(o). Which is the nearest to 10\/7? (a) 1 (b) y (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97505200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Divide -451064 by -451064.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 6:24 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17766044?\nAnswer: 2, 1451, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17910 - 36078 + 18168 + 33*q.\nAnswer: 33*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -15985.\nAnswer: -31970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 10. Let b = r + -15. Let w be (-196)\/(-1274) - (-542)\/26. Solve d + d - 5*z + w = b, -12 = -d - 2*z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 277 and -11.\nAnswer: -3047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -320581\/28 - -11448. Find the common denominator of -27\/8 and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1876976 divided by -2.\nAnswer: -938488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 192367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3494.805 days to nanoseconds.\nAnswer: 301951152000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -176 in 20, 25, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22920853 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 113*b**2 - 3298*b + 63. Determine c(29).\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3744997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -28018662 divided by -307\nAnswer: 91266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huuuueuueyuuht. Give prob of picking 2 h and 1 e.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.0673 - 5.292055\nAnswer: -5.224755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 407009.0043 + -407060. Let s = 15 - -36. Let j = s + l. What is j rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 332 + 791. What are the prime factors of n?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 144*p + 1154. Let b be j(-8). Let r(f) be the third derivative of -19*f**b + 7\/60*f**5 + 0*f**3 + 0*f**4 + 0 + 0*f. Let t(w) = -w. Calculate t(r(m)).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*b - 5*b = b - 2340 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1544 divide 2717180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 9. Let q(m) = m**3 + m**2 + 2*m. What is the least common multiple of a and q(2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4 - 62*g**3 - 61*g**3 - 52*g**3 + 179*g**3.\nAnswer: 4*g**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 20 = 5*i. Let r(b) = -b**3 - b**2 + 4*b + 816. Let x be r(0). Suppose 0*p - 5*t + x = 4*p, i*p = 3*t + 816. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z**4\/3 + 257*z**3\/2 - 175*z**2\/3 + 13*z\/2 = 0. What is z?\nAnswer: -39, 0, 1\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/5 - 79264*l**2\/5 - 788508672*l\/5 - 12514885632 = 0. Calculate l.\nAnswer: -19776, -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/(z\/z**(-3\/2)))*z))**(4\/17))**(-16\/7)\/(((z\/((z\/z**(2\/23))\/z))\/(z**1\/z))\/(z**(-8)*z**0*z)) assuming z is positive.\nAnswer: z**(-18454\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - 3. Which is bigger: -6 or a?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*59\/(-944)*6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130758181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 r when three letters picked without replacement from rrzazkrskyz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*z + 126*z + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**4 - 22*g**3 - 34*g**2 + 22*g + 36 = 0.\nAnswer: -9, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 22, 90, 198, 352, 558?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -224806 - -424806. What is y rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.565459 to 2 dps.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/198 and 1\/((-180)\/329) + (15 - 2230\/150)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 + 2*t - 2. Suppose 5*u - 15 = -5. Let x be 2 - (3 + u\/2). Determine v(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*j + 4*u + 12, -j - u = -8. Let i be (2 + -1)*(j + -1). Solve i*o - y - 24 = 0, -3*o - y + 16 = -2*y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/107536 and 123\/1505504.\nAnswer: 1505504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 15. Suppose -b*k = -4*k + 93. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100\/75 + -2 + 1087889\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p. Let c be w(-1). Let k be ((-215)\/(-86))\/((-2)\/(-4)). Let l(i) = -i**2 + i + 2. Let n be l(3). Sort 0, c, n, k in increasing order.\nAnswer: c, n, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012 times -3.47?\nAnswer: -10451.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -691 + 699. Solve -5*q - 3 = -x*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i + 47. Let a be g(8). Suppose -3 = -3*r + 9. Suppose 2*b = 8, -b + r - a = -5*c. Solve c*t = p + 2, -5*p + 1 = 3*t + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 6*c**3 + 3*c**3 - 10*c**3 - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/322191 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 11) in base 14?\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 251287.889 - 251400. Let a = o - -112.190811. Let u = -0.08 + a. What is u rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/913 and 25\/4158.\nAnswer: 345114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 43*t**2 + 36*t + 10. Calculate h(44).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 64. Let p(z) = z**2 - 16*z + 12. Let d(a) = 1. Let i(w) = 3*d(w) - p(w). Let h be i(n). Calculate the greatest common divisor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6756, -20683, -41766, -70005, -105400, -147951, -197658?\nAnswer: -254521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r**4 + 1 - 3*r**2 + 149*r**3 - 10*r + 5*r - 148*r**3 to k + v*r**4 + g*r**2 + y*r + t*r**3 and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 4*z**2 + 3*z + 4. Let k be s(3). Solve -w = k*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/4)*b**(-2)\/b*(b**1\/b)**49*b**(5\/3)*b**(1\/5)*(b*b\/b**(-6))\/((b\/b**(-6))\/b*b) assuming b is positive.\nAnswer: b**(37\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeir when four letters picked without replacement from {r: 3, e: 3, i: 2}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/((-40)\/3) + (-8)\/20. Is j at least -1\/489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -6. Let b be v\/12 + 2*(-19)\/(-88). Let l = -265 - -260. What is the nearest to -3 in l, -0.1, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and -93.\nAnswer: 65.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -0.16\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 58*z + 738. Calculate the remainder when m(-20) is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -3, -1\/127, 1.5, -1\/7?\nAnswer: -1\/127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1130*n**6 - n**3 - 1884*n**2 wrt n?\nAnswer: 135600*n**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 20 = 4*n, 12*t - 19 = 17*t + 4*n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140598.\nAnswer: 2, 3, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1403754, 2807509, 4211266, 5615025, 7018786, 8422549?\n\"Answer: j**2 + 1403752*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*d + 3*d - o, -4*d - 3*o + 15 = 0. Let b be (-1)\/3 + 5\/15. Let x(p) = b*p - p - 2 + 5 + p**2 - 2. Determine x(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3159840 and 102660?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 15) to base 4\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -427*s**3 + s**2 + 8*s + 3. Is a(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -250?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 860*o + 6922. Give m(8).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzzz when four letters picked without replacement from {m: 8, z: 5}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 39 = -14. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/288 and -41\/2408.\nAnswer: 86688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 26 - a**3 + 43 - 1 - a**2 in the form g + z*a**2 + v*a + d*a**3 and give g.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = v + v + 630, m = -5*v + 153. Calculate the highest common divisor of m and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p + 11*p + 20*p - 48*p + 11*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 4:11 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/14 + (-2)\/7. Suppose 1 - 5 = -2*c. Suppose c*q - 4*i = -0 - 4, i = -2*q + 11. Solve 2*n + 0 = -g*a + q, 5*a - n + 8 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75574014 rounded to the nearest one million?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*b - 16513 + 11779 = -1352*b + 14010 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 15, 0*y - 5*w + 23 = 2*y. Let n be (109\/(-33))\/((-489)\/261). Let z = 9\/163 + n. What is the common denominator of z and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11459, 22655, 33851, 45047?\nAnswer: 56243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (1 - -27)*773 - 1. Suppose -7*c - 16*c = -j. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 22. Let y be x(24). Suppose 0*h + y*h + 3*l - 6 = 0, -5*h + l = -32. What is the remainder when 20 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-462)*(-5)\/5.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543995.\nAnswer: 5, 108799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/((y\/y**(-21))\/y))\/y))\/y)**(-27)*(y\/y**(3\/11))**(-6) assuming y is positive.\nAnswer: y**(-6285\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3267 divided by -4?\nAnswer: -3267\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293427 is divided by 2905?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 1668\/96 + 3?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/26525 and -14\/5305.\nAnswer: 26525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 2*n**3 - 2*n**3)*(-5*n + 2*n + 5*n) - 2*n**4 + 3*n**4 + 0*n**4 + (0 - 3*n + 0)*(4*n**2 - 4*n**2 - 2*n**2)*(-3 + 3 + 5*n).\nAnswer: 29*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*n + 7*f, -71 + 79 = -2*f. Calculate the smallest common multiple of (15\/(-1 - 0))\/(-1) and n\/5 + 4403\/185.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 65621557 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/(-170) - 0) + (-633)\/10761?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 + 6 = 0. Suppose 3*r - 4*r + 27 = -t*l, -2*r - 4*l + 110 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 10*z**2 + z - 1. Suppose 0 = 2*a - 2*h + 8, 0 = -a - 4*h + 7 + 14. Calculate x(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 4. Calculate k(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 3:10 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 6*q + 2*q + 2 - 521944*q**2 - 1418055*q**2. Let u be o(1). Round u to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllk when four letters picked without replacement from aakkalkkall?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.026 - -7?\nAnswer: 133.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -704 - 1219 = -3*z. Let g = z - 367. What is d in 3*d**2 - 5*d - d + 277*d**3 - g*d**3 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-165)\/(-12) - (0 - (-1)\/(-4)). Let k be (r\/10*-1)\/((-96)\/(-80)). Is -1 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7656 - -8645. What is the highest common divisor of t and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7040, 13506, 19972, 26438?\nAnswer: 32904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 8*a**3 + 0*a**3)*(11*a + 9*a - 9*a)*(-7 - 2 + 2 + 1 + 3 - 3 + (-2 + 1 - 1)*(-4 + 0 + 2)).\nAnswer: -132*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*i - 14, 624 = -2*i - 4*l - 624 + 1264 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00129018597 to 5 dps.\nAnswer: -0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p\/p**(-3)*p))*p**(-3\/7))\/((p\/p**(-5))\/p)**43 assuming p is positive.\nAnswer: p**(-1466\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122 + 192. List the prime factors of t.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-15))\/(246\/1640)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s + z - 302, 0 = 2*s + 3*z - 306. Calculate the lowest common multiple of s and 30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -3. What is the smallest value in -1\/2, q, 0, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - 6. Let o be k(-7). Let z be (-20)\/o*3\/(-2). Suppose 0 = 5*v - z*w - 415, -5*v + 61 + 339 = -5*w. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = 4*x, -5*q + 4*x = 28 - 120. Suppose -4*r - 14 = -w, w + 0*w - 5*r = q. Suppose c + c - w = 0. Solve -4*s = -c*s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 316.3841nm?\nAnswer: 0.0003163841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 32 = -3*m + 7*m, 5*b + 3*m = 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7397, 29519, 66353, 117899, 184157, 265127?\n\"Answer: 7356*f**2 + 54*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 - 22*m + 5. Suppose 4*y + 4*v + 32 = 0, -20*v = 4*y - 17*v + 35. Give w(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18338 < -18358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13360 and 177215056.\nAnswer: 2672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 982107.2ml?\nAnswer: 982.1072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 16, b: 4}. Give prob of sequence zzz.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tiq when three letters picked without replacement from {i: 5, t: 3, q: 5}?\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3922.\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 6.99. Let t = s + -0.41. Sort -5\/4, 6\/5, t in increasing order.\nAnswer: -5\/4, t, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 204 = -74. What is the remainder when v is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148669227347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p - 2*p**2 + p - 3*p**2 - 9*p wrt p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 35*n**3\/6 - n**2\/2 + 2*n. Let p be k(4). Is 0 + 1 + p - -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 666363562?\nAnswer: -666363556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1424*r**4 - 5*r**3 - 2*r**2 + 67076*r.\nAnswer: 17088*r**2 - 30*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.2 in 1, 15\/4, 0.1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a + 21 - 109. Let n(l) = 47*l + 143. Let f be n(-3). Solve 0 = -2*z - 6, -u - f*z + a = -5*z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 56*s**3 - s**2 + s. Let x be t(1). Let k = -4 + 31. Let r = k + -19. What is the highest common divisor of r and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/4 - (-133)\/(-70)*5\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y - 3*y - y - 5*y to the form p + k*y and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10321232012 (base 4) to base 10\nAnswer: 1284998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229050 is divided by 546.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211011110110020 (base 3) to base 2.\nAnswer: 101100111011110110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*w + 0*w + w + 0 + 2*w + 0 + 1 - 1 + 3*w + (-5*w + 5*w + 2*w)*(-3 + 4 - 3).\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 34*z**2 - 61*z - 92. Let j be g(32). Solve -2*d - 4 = -j*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311332333 + -101?\nAnswer: 311332232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = 5*t, t + 7 = -q - 1. Suppose 0*r + 12 = -4*r. Let j = 1.9 - 2. What is the closest to q in 4, r, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 10 - 0. Let t(u) = u - 56*u**2 - 6*u + 57*u**x + 5. Let o be t(5). Let k(y) = y**3 - 4*y**2 - 7*y + 2. Give k(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 926 - 908. Solve 0*a - c = 2*z - 2*a, -5*a = -20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61.5*0.4\nAnswer: 24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - -182) + 28 + -74\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6724566 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*sqrt(77)*-1 + sqrt(77)))\/(sqrt(99)*-3 - sqrt(176)*2).\nAnswer: 30*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/25 - (4\/(-10) + 12748302\/(-30)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 2. Let s be h(7). Let i(f) = -14*f**2 + 6*f**2 + s*f**2 - 6*f - 2. Calculate i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j - 2. Let i be 4\/(-2 + -2)*-4. Let d(t) = 5*t + 2. Calculate i*b(z) + 5*d(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 1311, 3010, 5415, 8532, 12367?\nAnswer: 16926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.7116\nAnswer: 0.7116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*d + 91. Sort 4, d, 5.\nAnswer: 4, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (124\/30)\/(1944\/(-810)) and 3\/2*920\/(-216).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37124667 and 1796?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*b + 43*b + 47*b + 71*b**3 - 3*b**2 - 132*b + 10412 - 418*b**3 wrt b?\nAnswer: -1041*b**2 - 6*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -20. Suppose 0 = f*o + u, 3*o - u = 4*o. What is the third derivative of 10*y**2 + y + o*y - y + 9*y**6 wrt y?\nAnswer: 1080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.39 - 0.01. Let o = -28\/9 + 16\/9. Which is the second smallest value? (a) h (b) o (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2 + 2321070*y - 37136608 = 0. What is y?\nAnswer: 16, 1160519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43227\/3458 + -1\/1729. Do m and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5) + (-805)\/(-575)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229 + 229 - 20*b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4947 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 85884.0022?\nAnswer: 85884.5022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owy when three letters picked without replacement from {o: 1, x: 1, y: 3, m: 5, w: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 8*i**2 - 1245*i + 11102. Calculate h(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**2 - 3*v + 10. Suppose 0 = -4*z - 5*c - 16, -z + 0*c - 3 = c. Let p = 4 + z. Let o(i) = 1. Give p*o(f) + n(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**3 - 31909109*t**2 - 92*t + 997735 wrt t.\nAnswer: 12*t - 63818218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2400 and 864.\nAnswer: 21600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 8 + -9 + 5 + 5 + (-6 - 1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15179006.\nAnswer: 2, 29, 261707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230674?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*p + 3*b, -2*p - 2*b + 32 = 2*p. List the prime factors of (-8)\/((p\/2)\/(-20)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -49860, -53881, -57902?\n\"Answer: -4021*s - 45839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10715 to the nearest one hundred.\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*b = -43, -3*h - 36 = 93531*b - 93534*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -414, -1035, -1968, -3321, -5202, -7719, -10980?\nAnswer: -15093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.04751 - -0.04751. Which is the second biggest value? (a) 0.3 (b) 46 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 + 4*x**4 + 0*x**4)*(2961 + 2049 - 1975).\nAnswer: 6070*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dncgddacdaddhhc. What is prob of sequence hda?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 3. Let s be q(0). Solve -2*p = -1 + s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58.24 + 57. Let m = t + -0.25. Let j = -17.79 - m. Round j to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 8353 - 8332. What is the smallest common multiple of z and -6*(-9)\/(-12)*-10?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 1:27 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 5*m + 35, 12737*m - 3*o = 12735*m - 2 + 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17240 divided by -2155\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + (5 - 2)*-1. Suppose k + 42 = u*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c48 + -5?\nAnswer: 3c43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15271 is divided by 184.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 23*z**2 + 30*z - 81. Let b be n(24). Let d = -12 + 19. What is the highest common factor of b and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -28 (b) 2 (c) -4170 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30375 is divided by 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)*-2)\/sqrt(10))\/(sqrt(432)*1) + (3 + sqrt(252) + 0 + -5)**2.\nAnswer: -145*sqrt(7)\/6 + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 + 10 - -10) + -1 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n + 0*n)*(-2*n**4 + 4*n**4 + 0*n**4) + 15*n**3 - 8*n**5 - 15*n**3 + 62*n**5 - 27*n**5 - 24*n**5.\nAnswer: 7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 31. Suppose d + 10 = -c - 3*c, 0 = 2*c + u. Let n be (-45)\/d + (-2)\/(-4). Sort 1, 4, n in increasing order.\nAnswer: n, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05375692754 rounded to 4 decimal places?\nAnswer: -0.0538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k = -2*n + 22, -3*k = n - 19. Suppose -3 - 5 = -2*q. What is the derivative of q*a - k*a - 2 + 1 + 2 wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81810 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*l + 10, 16 = -3*s + 2*l + 6. Suppose k + s = 4. Suppose 300 = 2*c + m, -k*c - 8*m + 606 = -3*m. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 7*d**2 - 4*d + 2. Let q be p(-6). Suppose 20 = 4*n - l, 0*n - 2*n - 3*l = 4. Does 8 divide (-246)\/q + n\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, -7, -14?\n\"Answer: -7*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*b + h, -3*h - 7 = -0*b - 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -789.1 and -34807035.\nAnswer: -34807824.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-7) - 15\/(-35). Factor 1\/2*p**3 + 0 - 1\/2*p + 0*p**g.\nAnswer: p*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*l = s + 285, 173 = l - 4*s + 208 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.2, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*(-2*sqrt(1700) + 5 + -4 + -4*(2*(1 + sqrt(1700)) - sqrt(1700))) + 4))**2.\nAnswer: 33000*sqrt(17) + 1533025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*((-1950)\/(-6))\/(-25)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/6510 and -76\/651?\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39091688 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 111146 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 7:18 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 15 = 27. Let k(v) = -8*v**3. Suppose 0 = 5*p - 25 - 25. Let q(u) = 25*u**3. Calculate j*q(l) + p*k(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffnf when four letters picked without replacement from {f: 10, n: 4}?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*y - 1338 = -158. Let w(s) be the third derivative of -1\/8*s**4 + 0*s + 1\/30*s**y - 2\/3*s**3 + 0 - 4*s**2. Determine w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-1405)\/350 + 4). Let r = 143 + n. Is r greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9604.776km in meters?\nAnswer: 9604776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - g**2 - g - 1. Let x(w) = -2*w**3 - 2*w**2 - 31*w - 2. Calculate 2*p(b) - x(b).\nAnswer: 4*b**3 + 29*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 divided by -4.\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/42030 and -95\/226962?\nAnswer: 1134810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**(3\/5))*f**25 assuming f is positive.\nAnswer: f**(122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 19*a**2 + 4*a**2. Let n(l) = -l**3 + 15*l**2 - l + 16. Let k be n(15). Give q(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13471698 and 328578.\nAnswer: 13471698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 14, 22 in ascending order.\nAnswer: 2, 5, 14, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = -21. Let g(x) = -x**2 - 10*x + 9. Let o be g(-10). Let i = o + 1. Calculate the least common multiple of i and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -285 - -296. What is the greatest common factor of 22 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 32 = -24. Let y(u) = -u**3 - 6*u**2 - 6*u - 6. Let g be ((-10)\/(-6))\/(2\/(-6)). Let k be y(g). Put k, n, 8 in decreasing order.\nAnswer: 8, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16855 divided by -1?\nAnswer: -16855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 j when four letters picked without replacement from {m: 8, j: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*d**2 - 44*d**2 - 4 + 4 - 44*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*c**3 + 2 - 40*c**3 - 107*c**3 + 57*c**3.\nAnswer: -158*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4783 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 27. Let k be (12 + r)\/(0 + 1) + 3. Suppose 3*b + k*w = 606, 4*w - 87 = 5*b - 1106. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 11*t - 25. Let i(k) = 1. Let d(z) = -6*i(z) - x(z). Let j be d(-8). Put j, -2, 3 in ascending order.\nAnswer: j, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 9*i**3 + 5*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8936\/10)\/(-6 + (-276)\/(-45)). Suppose 2*x - 3340 = 3*w, 0 = 4*x - 2*w + 7*w - q. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1170873 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 918*b - 103*b**2 - 199*b - 18*b**2 + 479*b - 23*b**2 + 1.\nAnswer: -144*b**2 + 1198*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 1990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*z = 6, -3*u + 3*z + 35 = 2*u. Let k(v) = 5*v - 2. Let a be k(6). Suppose 2*p + 13 = 2*w - 3, -w + a = -5*p. Which is greater: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 4720, -16 in decreasing order.\nAnswer: 4720, 3, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/11 in -2, 3, -85.3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -365*p + 118*p**2 + 365*p to the form h*p**2 + r*p + v and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**4 + 3*q**4 + 3*q**4)*(-2 + 2*q + 2) + 9*q**4 - 22*q**5 - 9*q**4.\nAnswer: -16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 493 and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3743679 is divided by 229.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = -2*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/((sqrt(48) - sqrt(768))\/sqrt(8)) - (1 + sqrt(5) + 5 + -3))**2*-2.\nAnswer: -322\/9 - 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**3\/2 + k. Let z(o) be the third derivative of 0*o**3 + 0*o + 0 - 1\/24*o**4 + 2*o**2. What is z(c(h))?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 17*w**2 - 17*w. Let x be t(-18). Let s be 4\/x + 55\/45. Let z be (-20)\/3*((s - 4319996) + -5). Round z to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 9) + 0 + 2 - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -137 + 2*j**3 + 14*j**2 + 22*j - 133 + 280.\nAnswer: 2*(j + 1)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, s: 3, h: 2, w: 3, y: 6}. Give prob of picking 2 h and 1 y.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -8533*h. Let n(k) = 3*k**2 + 11*k. What is n(l(v))?\nAnswer: 218436267*v**2 - 93863*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, z: 1, n: 2, p: 7}. Give prob of sequence ccp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from uuusussssssssssu.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133701873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -0.5, 0.9, 2, 0.272?\nAnswer: 0.272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(8)\/sqrt(4) + -4 + (sqrt(2) - (sqrt(128) + 1 + sqrt(128))) + 4)**2*1.\nAnswer: -56*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*q**2 + q**4 - 50*q**2 + 23*q - 40*q**2 - 3*q**4 as z*q**4 + i*q + h + n*q**3 + d*q**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 32496?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541824247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*w = -6, 2*w = -4*o - 39 + 45. Let p be (-4 - -1)\/(9\/6). Let r be -1*p\/8*2. Which is bigger: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(4*1)*2\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**3 + o**2 - 4*o + 9. Let s(r) = 2*r**3 - 2*r + 4. Give -5*s(y) + 2*z(y).\nAnswer: -4*y**3 + 2*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-42))\/((-12)\/14).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 + 5224462*w\/5 + 5224464\/5.\nAnswer: -2*(w - 2612232)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/10)\/((-3)\/(-12)). Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-8)*(-15)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.3. Let r = -2.5 + 2. Let n = 0.11 + -1.11. Which is the closest to n? (a) -5 (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11*u**2 + 1748. Let t(q) = 19*q**2. Determine j(t(v)).\nAnswer: -3971*v**4 + 1748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-260)\/30 - -8)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1125 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, -1022148, 4\/5.\nAnswer: -1022148, 0.16, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 - 88*f**2 + 81*f**2 - 7*f as s*f**2 + h*f + m and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80965.3 and -0.183.\nAnswer: 14816.6499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36000301*a**4 + 2*a**2 + 961*a + 721 wrt a.\nAnswer: 864007224*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 11*t + 7 + (-t + 0*t + 0*t)*(2 - 3 + 2).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*v + 361*v - 129*v + 4770 - 342 = 0 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2)**(3\/7)\/(o*o**(-1\/9)*o*o*o**(-2\/15)))**(-1\/15) assuming o is positive.\nAnswer: o**(598\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 10 (b) 4\/9 (c) 3\/5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107836?\nAnswer: 2, 26959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2770 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/33)*o*o*o*o*o**27*(o*o*(o**21\/o)\/o)\/((o**28*o)\/o))**(2\/37) assuming o is positive.\nAnswer: o**(1646\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 782.9262 millimeters?\nAnswer: 782926.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + i + 2819 - 2856 = 0, i = -3*r + 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-4)\/10)\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.65811 litres in millilitres?\nAnswer: 36658.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 2*q**2 + 13. Let n be r(0). Let a(p) = -3 - 17 - n*p - 6. List the prime factors of a(-8).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17222?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98665668?\nAnswer: 2, 3, 913571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 134*i + 35538. Give g(-267).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 7\/355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 17. Let a be ((-250)\/3 - b)*240\/(-32). Round a to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69 - (-16 + 14 - (-9 + 0) - 8)) + 4?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 2\/182649?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57932.\nAnswer: 2, 7, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5687 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*g - 22, -3*g + 3*c = -g - 18. Calculate the remainder when 8 is divided by -5*(-5)\/(100\/g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.63 minus -1010.6709?\nAnswer: 1028.3009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1310876, -2621775, -3932674, -5243573, -6554472?\n\"Answer: -1310899*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*14\/(-840) + 31\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 726 = -86. Suppose f = 5*c + 15. Solve -c*u - 8 = -13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3053733 is divided by 48459.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4959*-4\nAnswer: 19836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 11:00 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213 - 184.895. Let y = 0.105 - d. Let o = y + 24. Which is the third smallest value? (a) -6 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 5*k - 8. Is -3 + (152 - 0\/k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqolvplllpgp. What is prob of sequence qv?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43044151 + -1002?\nAnswer: 43043145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 26. Suppose -2*u - j + 0*j = -19, j - d = -u. Solve -4*n = 5*g + u - 33, -10 = -2*n - g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96325811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*y - 192*y + 35*y = 433*y + 16320 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Divide 93400 by 2.\nAnswer: 46700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4730 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: Suppose -41*g = -624 + 173. Let q(t) = t**2 - 2*t - t + 8 - 3*t. What is the least common multiple of g and q(6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*q - 4*i = 14, 16 = 4*q - 2*i. Let s = 318381\/2 - 159189. Factor 3\/2 - 3\/2*r**q + 3\/2*r**3 - s*r.\nAnswer: 3*(r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 540478, 1080234, 1619268, 2157580, 2695170?\nAnswer: 3232038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((2 - 5)\/303*1). Let s be (-27)\/6*(-20)\/(-6). Let c = s - u. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*g = -25, 4*g - 149 = 5*u + 6*g. Which is greater: u or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 14) to base 10\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(7\/6)\/(c*c\/(c\/c**19*c)))\/(((c*c**(2\/5))\/c)\/(c**(7\/5)*c)))**(-49) assuming c is positive.\nAnswer: c**(4655\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 40*a**2 + 4*a - 1. Suppose 9 = 3*k - 3. Suppose 0 = -4*l - 0*l + 4*z + k, 3*z = -l + 9. Is b(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 892, 7097, 23944, 56755, 110852, 191557?\n\"Answer: 887*c**3 - c**2 - c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6324378 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6293663 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a meter in millimeters?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344702 times 0.4?\nAnswer: -537880.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*j - 1432 + 305 = 0, -o + 221 = 4*j. Suppose 7*m + 50 = o. What is the third derivative of 0*c**2 + 19*c - 19*c + m*c**6 + c**2 wrt c?\nAnswer: 3000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 710493230*a*f**5 + 5*a*f - 10806468*a - 2*f wrt f.\nAnswer: 14209864600*a*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 436 + -296. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3366 a factor of 196850412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (700488\/(-8554))\/(-46) + 24\/(-26). Let 3\/7*t**3 - 3\/7*t - d*t**2 + 6\/7 = 0. What is t?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1063*p**2 - 2*p - 35. Let h be (-1)\/(1\/2) - 3\/1. Let r be i(h). Round r to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s - 36. Let m be w(-8). Sort -3, m, 3, -42 in increasing order.\nAnswer: -42, m, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83615 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o - 1. Let n be d(-1). Let v = n + 11. Suppose -72 = -a - 4*p + 2*p, v*p = -a + 75. What is the remainder when a is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1129, -1127, -1123, -1117?\nAnswer: -1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*s - 3*w, 81 - 32 = 5*s + 3*w. Suppose -36 = y + y + 4*k, 0 = -2*y + 2*k - 18. Find the common denominator of -18 and s\/y + 113\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76\/7284579 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*d + 8*d = 34*d - 80. Sort 1\/3, d, 1617 in decreasing order.\nAnswer: 1617, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 500 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 22*g + 5 - 71 + 65 - 1.\nAnswer: 22*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -11 (c) -53 (d) 143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((((i\/(i\/(i\/(i*(i\/i**(-4\/11))\/i*i)*i)))\/i*i*i)\/i)\/i)\/i)*i)**(1\/17))**(-2\/29) assuming i is positive.\nAnswer: i**(-96\/5423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 9*i - 4*i = 8, -2*i = -d + 1. Suppose d*p = -2 - 4. Let n(m) = 3*m**3 - 5*m**2 - 5. Let s(b) = b**3 - 2*b**2 - 2. Give p*n(c) + 5*s(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z**2 - 5*z + 5*z)*(516*z - 192*z + 86*z + 107*z + 437*z).\nAnswer: -7632*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/8 + 8980887*m**2\/4 + 35923551*m\/8 + 2245222 = 0. What is m?\nAnswer: -1, 17961776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -23972790.4 to the nearest ten thousand.\nAnswer: -23970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4401250 (base 6) to base 12\nAnswer: -a6226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1255, 2508, 3761, 5014, 6267?\nAnswer: 7520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 202 + -1617\/8. Let b = -4 + 6. What is the nearest to u in 0, b, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37024226 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11623928887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**2 - 438 + 28 - 14*m + 141 wrt m?\nAnswer: -4*m - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123253 is divided by 135.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a + 15. Let i = 44 - a. Suppose i = 3*b - 6. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 166\/((-79016)\/68)*28\/(-150)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11*z**3 + 3*z**2 + 3*z - 7. Let r be c(3). Let k = r + -159. What are the prime factors of k?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 177 = 53*n. Which is the second biggest value? (a) 2\/5 (b) 241 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/15)\/(l**(-1)\/l))**(-41)*(l**1)**30\/((l\/(l**5*l))\/(l\/l**8)) assuming l is positive.\nAnswer: l**(-892\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*((-4)\/10)\/1. Let a(t) = t**2 + 27*t + 51. Let j be a(-25). Solve -n + 3*l - j = -2*n, -d*n + l - 12 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -34682, 4, 0, 1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, h: 7, e: 1, d: 6}. Give prob of picking 1 h and 1 l.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6062 is divided by 141?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g**(1\/3))\/(g**(-1\/2)*(g\/(g\/g**(5\/2)*g))\/g) assuming g is positive.\nAnswer: g**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(175) + -3)*3 + -2)**2 - ((-3 + ((sqrt(175)*-1 - sqrt(175))*-3 - sqrt(175)))**2 + 5).\nAnswer: -510*sqrt(7) + 2032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2882 and -37.893.\nAnswer: 10.9207626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 5\/10)\/(2\/(-4)). Find the second derivative of n**4 - 13*n - 45*n**3 + 45*n**w + 2*n**4 wrt n.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 1 (c) 97967\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3600)\/64)\/25*8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x. What is the second derivative of 16*p - 16*p**3 + 0 + x wrt p?\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0066698 to four dps.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 474, 875, 1276?\n\"Answer: 401*n + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*n - u - 201, 2*n - 134 = -u. Let j = n - 7. Suppose 10 = -5*c + j. What is the remainder when 38 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175 and 52791095?\nAnswer: 263955475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -559 (b) -2\/7 (c) -0.3 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7)\/(-3) - (-107)\/((-749)\/(-105)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -5, -1\/3, -102\/11, 1\/7, 0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167654343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 3:08 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -581*q - 597*q - 36*q**2 + 1178*q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 0. Let k = -1 + d. List the prime factors of 0 + 2 + k + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, -13, -3, 0, 19 in increasing order.\nAnswer: -13, -10, -4, -3, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - y - 54. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2*k*l**2 + 8*i**2*k*l + 309*i**2*l**2 - 2*i*l - 105*k*l**2 + 45*k*l - k + 7 wrt l.\nAnswer: -4*i**2*k + 618*i**2 - 210*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3))**(-2\/9)\/(t\/((t\/t**(-2\/5)*t)\/t))**(-2\/33))**32 assuming t is positive.\nAnswer: t**(5888\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 2*u + 122, -42 + 115 = 3*q + u. Calculate the highest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 229. Let t = v + -16. Let b = t - 102. Does 39 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*(-2035)\/37.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ettt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d - 18. Calculate the least common multiple of 3 and y(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.073 - -0.616. Let q = f + -0.689000519. What is q rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 17. What are the prime factors of g(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1768)\/130*(-235)\/(-188).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2295 and 21740076?\nAnswer: 108700380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 - 7*x + 10. Let t be f(2). Let u be 0\/(t + -5 + -5). Solve u = -3*o + 5*r + 18, 2*o + r + 4 = -r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 + 5*k - 2. What is f(-4)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15475 < 61905\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68554981.\nAnswer: 11, 31, 127, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 3*8\/(-60) + (-22)\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 247.14375 to one decimal place.\nAnswer: 247.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 3*g**2 - 7*g - 1. Let d be i(5). Let c = d - -74. Suppose -4*q = w - 5*q - 20, -c = -5*w + 2*q. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**3\/6 + 2*z**2 + z. Let q(c) = c**2 - 8*c + 5. Let i be q(7). Let j be i\/(-10) + (-1)\/5. Determine l(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10115 and 545.\nAnswer: 1102535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 + 2*f**2 + 0 in the form d + j*f**2 + o*f and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = w - 36, 7*v = 5*v - w + 15. Which is smaller: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 33*f = -100. Let v = 16 - 3. Calculate the lowest common multiple of v and f.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3303 (base 4) to base 3\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a factor of 186440282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 31176*w**2 - 31179*w.\nAnswer: 3*w*(w - 1)*(w + 10393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -819 + 1556. Suppose p - x = -n + 3*n, 5*n = -20. Calculate the greatest common divisor of p and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -2*t + 2*v - 10, -t + 7 = -v. What is the smallest common multiple of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/96715 and -31\/8265.\nAnswer: 5512755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232 - -20?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2434 - -3331. What is the remainder when a is divided by 38?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 129*k**2 - 14*k + 4. What is the units digit of d(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 56, 2\/13, -3\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4*r - 644, -5*z - 5*r + 813 = -2*r. What is the greatest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3559 is divided by 397?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*g**2 + 5*g**3 - 6*g**4 + g**4 - 5*g - 23*g**2.\nAnswer: -5*g*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4058029 divided by 4.\nAnswer: -4058029\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 8*k**2 + 0*k + 1\/8*k**4 + 0 + k**3. Differentiate z(g) with respect to g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 0.1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1*(sqrt(396) + -2 + sqrt(396)) - (-4 + sqrt(396) + 0)) + -3*((-4*(2 + sqrt(396)) - sqrt(396)) + 5))**2.\nAnswer: 2112*sqrt(11) + 101500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 58622 minus -128?\nAnswer: 58750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*w - 346 = -220. Suppose 2*g - 312 = -2*g. Suppose -21 = -w*n + g. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 37 + 11 + 4*g**3 - 28*g**2 - 2*g - 5*g**2 + 10 as f*g + y*g**3 + z + u*g**2 and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x + 5*h - 162 = 0, -203*x - 82 = -208*x - 3*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -599 + 872. Suppose -1971 = -4*p + q. Let v be ((-2)\/6)\/((-1)\/p). What is the greatest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1594393 centuries to months.\nAnswer: 191.32716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wew when three letters picked without replacement from wwnrnrrnnnrrrwnwnwe.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 5. Calculate l(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nedwndv. What is prob of picking 1 n, 1 d, and 1 w?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**4\/20 - 23*x**3\/2 - 714*x**2\/5 - 83*x - 19. Factor i(p).\nAnswer: 3*(p - 119)*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 26, -5 in descending order.\nAnswer: 26, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 12 = -2*h, -3*h = 2*n - 12 + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -29, -12, -3, 3, -2 in ascending order.\nAnswer: -29, -12, -6, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-265)\/(-20) + (-3)\/12. Suppose -3*a = -14 - c. What is the least common multiple of a and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -37*m**2 - m - 18. Let b(u) = 4*u**2 - 1. What is -6*b(o) + p(o)?\nAnswer: -61*o**2 - o - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 286, 0.3, 4, 0.028 in descending order.\nAnswer: 286, 4, 0.3, 0.028, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-595)*-2)\/(1*(-8)\/120)?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 6:11 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115\/(-230)*(-1396)\/(-70) - -10.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) - 3123\/(-36). Let s(f) = -87 + n - f. Give s(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/160303349 at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 + (-210)\/(-175)*5\/(-2) and 76.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5958 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1665 and 117845?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12470 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9907538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:00 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 19 = -23. Let w = g + 34. Let a(f) = 13*f**2 + 1. What is the remainder when w is divided by a(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(168\/32)*14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 91414 < 731317\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.2 (b) -2\/3 (c) 2\/15 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/(-12) - 74\/111. Which is the closest to -6? (a) -5 (b) -0.3 (c) z (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1820 = 22*a - 1578 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*c + 110 = 120, -2*o = -4*c + 18. Which is greater: 0.65 or o?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 2. Let d be v(-4). Suppose -3*p - 12 = -7*p. Suppose -p + d = x. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1) + 0\/2. Suppose y = 2*s + b - 4 - 4, -2*b = -4. Let w be 2*3 - (s + -2). Calculate the highest common divisor of 20 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -365\nAnswer: -3\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0, -4, -5, 1.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5.134431 * -0.13\nAnswer: 0.66747603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 999 (c) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 - -75.075. Let l = n - 0.0750246. What is l rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 4:44 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 644185637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/6 - 1593995*n\/2 - 14346009.\nAnswer: (n - 4782003)*(n + 18)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-270)*9)\/((-4)\/(-12)*-1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -429090*r**3 + 472536 with respect to r.\nAnswer: -1287270*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 28*f - 2494. Give p(89).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(2\/6 + -2). Let l = 8 + -6. Let b = l + 1. Put b, j, 2 in descending order.\nAnswer: j, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14000 and 235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = -2*m + 504. Which is bigger: -38 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69880863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 850*k**2 - 30*k - 419*k**2 - 430*k**2 + 16*k - 68*k - 29*k.\nAnswer: k**2 - 111*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*l + 42 = x, -5*x + 80 = -l. Suppose -2*s = 3*z + 3*s - x, 0 = 5*z - 5*s - 15. Solve r + 12 = z*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -9 (c) 2\/13 (d) -5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 15349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -69529, -69527, -69525, -69523, -69521?\n\"Answer: 2*x - 69531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 521463 divided by 3.\nAnswer: 173821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 5*w**2 + 5*w. What is the remainder when 171 is divided by s(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - h**2 + 3. Let p be z(0). Suppose p*t - 8 = 2*t. Suppose 2*f - 160 = -2*f. Calculate the highest common divisor of t and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g + 55. Calculate the remainder when o(7) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in 0.1, 13, -1\/8, -3608?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12670 = -4*t, -t - 2*j + 3*j + 3164 = 0. List the prime factors of t.\nAnswer: 2, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -864*j**2 + 12 + 3*j + 849*j**2 - 3*j.\nAnswer: -15*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (36 - -2 - 0 - 9) + -1\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + p - 1. Let z(j) = -6*j**3 - 8*j**2 - 3*j - 8. Let c(y) = -5*o(y) + z(y). Let a be c(-7). Solve -k - a = 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -30461*a**2. Let y(p) = 2*p. What is b(y(z))?\nAnswer: -121844*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2\/31, 0.\nAnswer: -1\/4, -2\/31, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 65 = -69, 3*w + 1 = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 5*y = 160. Suppose w - 17 = -0*w - 4*n, 0 = 4*w + 4*n - y. Solve 0 = 2*z + 5 + w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from popooupoppooppouop?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 1720 - 184. What is the greatest common divisor of 24 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w**3 - 28*w**3 - 3*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -9157 (b) -2\/13 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -64\/31, -81, 2\/7, -1\/4, -0.9?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354759?\nAnswer: 3, 118253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 423?\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q + 72 = 44*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 31 = -5*z + m, 5*z - 5*m = -15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 518 * -2037.172.\nAnswer: -1055255.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*o - 25 = o, 0 = 5*u + o + 25. Let z(t) = -t + 3. Let a be z(u). Let d(l) = l**3 - 9*l**2 + 9*l + 11. Is d(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 10079044*b - 10079040.\nAnswer: -4*(b + 1)*(b + 2519760)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 697012 and 1084?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(2*sqrt(28) + (-4 + sqrt(112) + sqrt(7))**2 - ((sqrt(7) - (sqrt(14)\/sqrt(2))**2) + -1 - ((sqrt(28)\/sqrt(4))**2 + -1))).\nAnswer: -405 + 74*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - n + n)*(-2*n - 3*n + 6*n) + n + 1 - n**4 - n - 1274*n**4 + 2082*n**2 - 2082*n**2.\nAnswer: -1276*n**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -2, 0, 0.2 in ascending order.\nAnswer: -2, 0, 0.2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - f + (-2 + 3 + 1)*(5*f + f - 5*f) + f - 7 + 7)*(2 + 1 - 1).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -1048.\nAnswer: -1047.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnwnwkqn. What is prob of picking 2 w and 1 k?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 15 (b) -3 (c) -0.09 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2 + sqrt(75) + 3)**2 + (sqrt(75)*-1*2 - sqrt(75)))*1.\nAnswer: 35*sqrt(3) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 358*w. Let x(u) = -307*u. Let d(k) = 6*b(k) + 7*x(k). Let y(n) = -389*n + 6. Determine y(d(g)).\nAnswer: 389*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7 = -4*r, 2*r + s + 1 = 4*r. Suppose -3*x + 39 = -r*x. Let u = 76 - x. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 787670633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*b + 27185 = b, b = 4*u - 108672. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, q: 2, k: 1, m: 3, n: 1}. What is prob of sequence mqkc?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -119940 divided by -23988?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23417113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 4*g + 15, -3*a - 6*g = -7*g - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*h - 20. Let i be 315\/(-84)*96\/(-100) - (-4)\/10. Solve -i*t + 3*z = 17, -z + 6*z = h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1017804 by 254451.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -94 - 113. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -505301 (base 7) to base 9.\nAnswer: -140742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*x + 1822, -913 = x - 3*x + 3*d. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 1\/80*w**6 - 9\/8*w**2 - 3\/160*w**5 + 13\/16*w**3 - 9*w - 6 - 7\/32*w**4. Factor x(r).\nAnswer: 3*(r - 2)*(r - 1)**2*(r + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188499 is divided by 62831?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.5, 2564, -0.2 in increasing order.\nAnswer: -0.5, -0.4, -0.2, 2564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206398, 208263, 211370, 215719, 221310, 228143, 236218?\nAnswer: 245535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**2 + 1. Let k be n(-1). Let g be (-2)\/(-5) + 12000002\/k. Round g to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.753 to 1 dp.\nAnswer: -68.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/5 - 1508*m**2\/5 + 3044*m\/5 + 4548\/5.\nAnswer: -4*(m - 3)*(m + 1)*(m + 379)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135 - 135. Solve 3*s - 281 + 296 = i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 1 - (-119)\/(-35).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -3, -6, -343?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203758, -203827, -203884, -203923, -203938, -203923?\nAnswer: -203872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 274692 and 74916?\nAnswer: 824076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, -2, -8 in decreasing order.\nAnswer: 142, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*d - 7*d**2 + 4 + 295*d - 151*d to the form k*d + r + f*d**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1)*(-14*m - 14*m - 19*m)*(0 - 4 + 2) as t*m + q and give t.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-16))\/((-28)\/336)*(2 + -1). Let z(m) be the first derivative of -3\/16*m**4 - 9\/4*m + 1 - 5\/4*m**a - 21\/8*m**2. Find d, given that z(d) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f**3 - f**2 + 1. Let s(r) = 16 + 3*r**2 + 3*r**2 - 2*r**2 - 3*r**2 - 9*r. Let j be s(7). What is the tens digit of l(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 293 - 89. What are the prime factors of k?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34060 (base 7) to base 11.\nAnswer: 6524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -r + 81 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3121849, -6243693, -9365537, -12487381, -15609225?\n\"Answer: -3121844*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*-1*20\/450*3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28225674 a multiple of 2082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*u + 191057 - 135671 = 3753*u - 389024 for u.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 - 6*x + x**3 + 6*x + (3*x**4 - 2*x**3 + 2*x**3)*(-430 - 105 - 8).\nAnswer: -1628*x**4 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -5*w + 3*d, -3*w - 7*d + 8 = -6*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 19. Let v be n(-18). Let c(x) = v*x + 18*x - 13*x. Let i(z) = z. Determine i(c(f)).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: a4a4 (base 11) to base 4\nAnswer: 3121110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 2*t. Let p be a(-5). Suppose -3*u + 24 + p = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9, 9, 59, 153, 303, 521?\n\"Answer: 2*u**3 + 4*u**2 - 8*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/6324540 and 31\/84?\nAnswer: 44271780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1717264521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2*(-3 + 3). Let s = 2 + j. Let f be (5\/15)\/(s\/30). What is the second smallest value in -2, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 53 - 39)*(9 - 9 - 4*f)*(2 + 1 - 5) to l*f + v and give l.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37217086?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 196198.\nAnswer: 2\/98099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 115*o**2 - 2533455*o + 110150 = 0. Calculate o.\nAnswer: 1\/23, 22030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 9*k - 5. Let c(i) = -1. Let g(b) = -2*b**2 + b - 5. Determine k*c(v) - g(v).\nAnswer: 2*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/4 (b) 2 (c) -2\/7433 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2069*8\/6*(-38661)\/3682?\nAnswer: 2, 7, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -93, 0.4, 0.3, -0.09 in increasing order.\nAnswer: -93, -0.2, -0.09, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000956 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-21 - -15 - -5) + 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 3163.4042.\nAnswer: 632.68084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4 = -2*t, 11*n = 4*t + 8*n + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 less than 38758.7376674?\nAnswer: 38896.7376674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 1.2. Let z = -0.8 - s. What is the nearest to 1 in -0.2, 5, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f + 48 = 0. Let k = f + 0. Let s(l) = l**3 - 2*l**2 - 2*l + 3. Let i be s(3). Calculate the highest common divisor of k and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1545 and 28634.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in -3.3, 3, -1\/5, -30?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -333 + (-177 - -527) + (-125 - 0 - -2).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 15*w**3 + w**2 - 1. Give h(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.151 + -0.551. Do -14 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121668656 divided by -4?\nAnswer: 30417164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 734 = 7*s - 5083. Let q = s + 401. List the prime factors of q.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011101 - -11?\nAnswer: -1001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1228, 1247, 1296, 1393, 1556, 1803, 2152?\nAnswer: 2621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 35 = 2*j, 0*j + u - 55 = -4*j. Suppose m + j = -3*v - 1, 5*m + 20 = -5*v. Let h = -62 + 61. Sort 0.5, h, v in decreasing order.\nAnswer: 0.5, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212301113223 (base 4) to base 13\nAnswer: 214b225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11516 and 10.\nAnswer: 57580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, c: 3, g: 1, m: 4, o: 1, q: 1}. Give prob of sequence ogm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by (-1956)\/(-21) - 7\/49.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16767 is divided by 981.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.35 + 3.05. Let g = t - 2.2. Which is the nearest to 1? (a) g (b) -3\/4 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 w, and 1 m when four letters picked without replacement from mmmwwmemmytemtemeeee.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*q - q - 6*q - 7*q)*(-4*q + 77*q - 110*q - 2).\nAnswer: 1036*q**2 + 56*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 13) to base 15\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1560\/(-2145))\/((-1450)\/638)?\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, g: 6, d: 6, w: 2}. What is prob of sequence xgxx?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 660700 and 900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31a2bb (base 13) to base 8.\nAnswer: -4343146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**2 + 163*z - 94. Calculate s(27).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 5 + 12 + 40 - 84 + 12 - q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 47, 168, 369, 650?\n\"Answer: 40*q**2 + q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/15, -5, 1\/3, 2.\nAnswer: -5, -0.2, 2\/15, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/45*3)\/(102\/30)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -24 + -339 - (-1 - -5). Let i = -354 - s. Solve 8*f = i*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0 (c) 2\/1684467\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231535.\nAnswer: 5, 46307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 2*h + 20. Sort 0.1, -0.2, h.\nAnswer: -0.2, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26483.\nAnswer: 71, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4955 to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(19))**2*2.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.3, -1.104, 4, -1111 in decreasing order.\nAnswer: 4, 2\/5, 0.3, -1.104, -1111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 3*a + 1. What is q(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.72 + 0.28. Let r = 0.1 - -4.9. Let q = -7 - -5. Which is the nearest to u? (a) q (b) r (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4044)\/450 - -9)\/(4\/20)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and (54\/(-30))\/(2\/(-40)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 - 38*m + 12. Let t be g(-19). Suppose t*b = -8536 + 48700. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u - 8. Let y(p) = 2*p + 29. Let s be y(-8). Let l(t) = -59 + 3*t - 63 - s*t + 97. Determine -7*b(k) + 2*l(k).\nAnswer: k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1158, 1140, 1098, 1020, 894, 708, 450?\n\"Answer: -2*h**3 - 4*h + 1164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*z + 27, 267*z + n = 265*z - 8. Let w(p) = -5*p**2 - p + p**2 - 5*p**3 + 3*p**2 - 6*p**3. Calculate w(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5038*a**4 + 110*a**3 + 1 - 2*a + 4535*a**4 + 3*a**2 - 108*a**3 to the form d*a + x + j*a**4 + m*a**3 + t*a**2 and give j.\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*d**2 + 1889379*d**3 - 2 - 1889380*d**3 + 2 + 1 + 98*d to the form x + c*d**2 + z*d + n*d**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 862 = -6*p + 8*p. Let u(d) = 434*d**2 - 868*d**2 + p*d**2. Let a(l) = 16*l. What is u(a(t))?\nAnswer: -768*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 648 - 300. Suppose 5*n - n = 3*s + 346, -4*n + 2*s = -h. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**6\/24 - p**5\/10 - p**2 - 6. Let u(j) be the second derivative of z(j). Find the third derivative of u(i) wrt i.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 7:57 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.84089 + -685620.\nAnswer: -685614.15911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2. Suppose -195 = -48*a - 3. Let b(d) be the second derivative of 0*d**3 + a*d + 0 - 1\/12*d**4 + 0*d**2. What is b(f(l))?\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -13536.35 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -41*y + 2346. Let l be z(57). Suppose -3*i - 3*g + 3 = 0, -2 = -2*i + 3*g - 0. Calculate the greatest common factor of l and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 288 + -552. Let u be 12\/(i\/(-55))*(-24)\/(-10). Let w(c) = -c**3 + 7*c**2 - 9*c + 9. What is w(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 48. Let f be 2 + -1 + (6 - (-1 - i)). Suppose -f*v = 2*q - 12 - 12, 2*v = 3*q - 20. Solve -q = a + a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**4\/6 - 246*y**2. Let f = 42 + -46. Calculate r(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**3*u**2 + 29*o**3*u - 2*o**2*u + 3426*o*u**4 - 29*u wrt u.\nAnswer: 2*o**3 + 41112*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -590\/357 + -47\/119. Find the common denominator of h and (-412)\/(-2856) - (-24)\/204.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5349*j - 43792. Give n(8).\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 9. Let a be k(-6). Suppose 4*y - a - 7 = 0. Suppose -m = -6*m - d + 45, y*m = -2*d + 42. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 4) to base 3.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - -508. Suppose -f = -7*k + 843. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(68))*1.\nAnswer: -6*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 6:16 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 - 8 = -o, 3*o + 5*n - 34 = 0. What is the remainder when 33 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 120 (b) 4\/5 (c) -398.7 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 15*x + 10. Let i be v(2). Let a(s) = 35*s - 74*s + i*s. Let r(p) = p**2 - 152. Determine r(a(t)).\nAnswer: t**2 - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-350)\/(-105))\/(2 - 244\/123). Let y = 221 - f. Solve 5*h + y = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = h - 4. Let r = 8 - h. Let o be (r\/4)\/(2\/(-4)). Let z(n) = -14*n**3 + n**2. Give z(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z - 15. What is b(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 2. Suppose -76 = -9*x - 22. Let v(y) = -20*y - 11. Let s(l) = x*t(l) - v(l). What is s(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*c - 32 + 32 + 37*c - 91*c to g*c + i and give g.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 32*t + 1. Let h be (6\/(-15))\/(4\/(-40)). Is p(h) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -936*2765.\nAnswer: -2588040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 17*b - 158. Calculate the remainder when r(13) is divided by 1*(32 + 0) - -1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((((t\/(t\/(t*t**(2\/11))))\/t)\/t*t)\/t*t)*t*t\/(t**(-1)\/t)*(t\/(t**0*t*t))**19 assuming t is positive.\nAnswer: t**(-156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1836, -1820, -1786, -1728, -1640, -1516?\n\"Answer: m**3 + 3*m**2 - 1840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 224 - 199. Let y(r) = -2*r**3 + 53*r**2 + 33*r + 29. Is y(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 4*u**2 - 180. Let k(m) be the first derivative of 29*m**2\/2 + 1. Determine c(k(t)).\nAnswer: 232*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1323 from -5.\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r. Let k be (2 + r)\/(4\/2). Let a = -300 - -303. Sort k, -2, a in increasing order.\nAnswer: -2, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 + 0 + 18)*(88*d - 158*d + 111*d) to the form w*d + g and give w.\nAnswer: 1476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39397030*o**4 + 271410121*o**2.\nAnswer: 945528720*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202 - 202.2. Which is the biggest value? (a) f (b) -0.15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*b**3 - 17585*b**2 - 132415*b - 61810.\nAnswer: 5*(b - 1766)*(b + 7)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 108286 = -38*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 68, 5, 0.\nAnswer: -3, 0, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.09 + 9. Let a = 0.05 - -0.24. Let p = f - a. What is p rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**3 + 273020*p**2 + 16394700*p + 245988000 = 0. What is p?\nAnswer: -30, 54664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000135736 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 141 = -3*y, -4768*t + 4764*t - y - 5 = -42 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54365246 a multiple of 3238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + 11)*2741431\/847.\nAnswer: 35603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 35. Give x(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6*v - 61 = -4*v, 5*s = 4*v - 263. Let c = -49 - s. Solve -7 - 23 = -c*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7859458 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18076610.\nAnswer: 2, 5, 17, 113, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - g = -10 - 2, 5*f + 2*g = 20. Suppose -t - 3 = 0, 4*y - f*t - 328 = 544. Let l = y - 121. List the prime factors of l.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18 and 1207888128114.\nAnswer: 1207888128132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3*n - 90, -126 = -48361*n + 48367*n + 4*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-5))\/(-4)*36\/312.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*a + 438 - 438)*(-2 - 3 + 6 + (3 - 3 - 2)*(3 - 3 - 1) - 3 + 0 + 4 + (0 + 1 + 1)*(-13 + 10 - 69)).\nAnswer: 6160*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -15. Suppose 2*l + 21 = -r*a + 53, 2*l + 5*a = 41. Solve n - l = 4*n - 2*p, -n - 4*p + 5 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 + -80. Put 29, 1, n in ascending order.\nAnswer: n, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7222951 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2757343143 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-20))\/((-12)\/10). Let u = -12 - -17. Let h = 5 - u. Sort h, l, 4.\nAnswer: l, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1755*j - 63*j - 2154*j + 1400*j. Let y(r) = 6*r**2. Give y(f(l)).\nAnswer: 39691104*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*y**2 - y + y + 269*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 - 4971?\nAnswer: -4039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 80 = -5*a. Let p(i) = i**2 + 18*i - 28. What is the remainder when 20 is divided by p(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 + 197*n - 1181. What is c(59)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 + (-4)\/4 + 0 and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, -21, -57, -117, -207, -333, -501?\n\"Answer: -k**3 - 3*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9447*q**3 + 5226*q**3 - 7529*q**3 - 1424*q**3.\nAnswer: -13174*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 4\/11 (c) -0.3 (d) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z = 0. Suppose -a = -z*j + j - 21, 2*a = -4*j + 40. Suppose 0*f - a = -f. Calculate the remainder when f is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*h + 34476*h**2 + 7 + 79*h.\nAnswer: 34476*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000444162 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2364\/(-9)*(-6)\/4. Let d = 905 - b. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 1. Let k(j) = -4*j - 9*j + 0*j + 3*j + 9 + 2*j. What is 6*g(n) - k(n)?\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 2. Suppose -4 = u - 6. Let p(j) = -j - 1. Let z(b) = u*p(b) + w(b). Let q(n) = -9*n. Calculate q(z(o)).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2111005 divided by -3.\nAnswer: -2111005\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.83 and -15.4.\nAnswer: -13.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahaa when four letters picked without replacement from hahhaah.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 665, 1330, 1995, 2660, 3325?\nAnswer: 3990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3127411?\nAnswer: 7, 446773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 + (6 - 9) - 5) - -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*s - 171, 5*r - r + 2*s = -150. Which is bigger: -35 or r?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 10*o + 12. Let k be x(-9). Suppose k*l - 3*c - 9 = l, -15 = 5*c. Suppose 2*i - 10 = l, 4*v - 82 = -i + 3. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (332*k - 671*k + 339*k - 6673*k**2)*(2*k**2 - 2*k**2 + 2*k**2).\nAnswer: -13346*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4125604 and 93217.\nAnswer: 3007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9742374*t + 16 - 16.\nAnswer: 9742374*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j**2 - j - 1. Let i be z(2). Let v = i - 148\/5. Which is the smallest value? (a) v (b) 0.5 (c) 0.1 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 481410 to the nearest one thousand.\nAnswer: 481000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*i + 743061 = -3491*i - 2160*i for i.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 11:39 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 993460199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 17*q + 37. Let y be v(9). Is y <= 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550692 to the power of 1\/2, to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3065001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 42. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (sqrt(77) + -1*(sqrt(77) - (2*sqrt(77) - sqrt(77))))\/sqrt(11) - (sqrt(7) - 1*sqrt(700) - (5 + sqrt(14)\/sqrt(2)))).\nAnswer: 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(98\/28))\/2*56.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -53*a**3 - 11*a**2 - 2*a - 2. Let u(t) = -18*t**3 - 4*t**2 - t - 1. Determine -3*d(v) + 8*u(v).\nAnswer: 15*v**3 + v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t + t**3 + 27*t**2 - 72*t**2 + 13*t**2 as i + k*t**2 + l*t + m*t**3 and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 1:09 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-2))\/((-1)\/7). Let s be (-4)\/i - 20\/35. Suppose -w + 4 + 10 = s. What is the highest common factor of w and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30134 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 v when three letters picked without replacement from {v: 4, c: 1, e: 9}?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1198928136 to the nearest integer?\nAnswer: 34626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 2)*(-2*p + 0*p + 4*p) + (26 - 11 - 10)*(-3*p - p + 5*p) in the form t*p + b and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 55471.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -69\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 7*q + 2. What is x(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 + 2. Suppose 0 = -z - 2 + 3. Let c be 3 + (-3 - (3 - 6)). What is the closest to z in x, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*o**3 + 220*o**3 - 3*o**3 + (o - o + 2*o)*(3*o**2 - 3*o**2 - 2*o**2) + 2*o - 2*o - o**3.\nAnswer: 229*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30281 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: b\"What is the xth term of -9, -8, -7?\n\"Answer: x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1100) + (-1 + sqrt(1100) - sqrt(1100))).\nAnswer: -40*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 147 (base 13) to base 6\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(h - 2*h + 2*h)*(1 - 4 + 9).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*9 - (-4 - -6). Suppose s = u - 2. Calculate the remainder when 13 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - 10*a**2 + 112*a + 466. Determine i(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2\/11)*i*i))\/i*i**(2\/13))**(-40)*((i*i*i**(1\/8)\/i)\/(i*i**(-1)*i))**21 assuming i is positive.\nAnswer: i**(79163\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 2957*x + 90410. Calculate h(30).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r**2\/5 + 29*r\/5 - 546\/5 = 0. What is r?\nAnswer: -78\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - d + 2 + 9, 3*g - 5*d + 31 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**2*(q*q**(5\/6))\/q*q*(q*(q*(q\/(q\/(q*q**(1\/3))))\/q*q)\/q)**(2\/37) assuming q is positive.\nAnswer: q**(367\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89\/10 - 57\/5. Which is the closest to 1? (a) 3 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 - (-25)\/10. Suppose -v - k*m + m = -11, 4*m = 8. Suppose 4*q + 27 = x, -x + 2*q = 3*q - v. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -827544.06 times -0.3?\nAnswer: 248263.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 - (-145)\/7. Let q be (-243)\/(-21) - 6\/(-14). Let w be (q\/(-16))\/((-3)\/252). What is the highest common divisor of c and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395.415 hours to milliseconds.\nAnswer: 1423494000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-54794)\/468 + (-12)\/(-54). Let u = f + 1452\/13. Let a(j) = -j**2 + j + 1. Let x be a(-2). Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z + 47. What is r(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 319 = 3*n, w + n + 2*n - 53 = 0. What is the remainder when w is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2283321 to the nearest integer?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5734\/3, -2\/5, -2, -1\/2, -4.\nAnswer: -4, -2, -1\/2, -2\/5, 5734\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16757576 take away 1.8?\nAnswer: -16757577.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -22*p**6\/3 - 35*p**3 - 154. Find the third derivative of w(h) wrt h.\nAnswer: -2640*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*w**3 + 42*w**3 - 54*w**3 + 17*w**3 - 44*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by -265.\nAnswer: -37\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -2860\/3 and -954 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(0*z**3 - z**4 + 0*z**3) - 4 - 8*z**4 + 4 + (z - 4 + 4)*(3*z**3 - 3*z**3 - 2*z**3).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 7:22 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14131*z - 7066*z - 1545 - 7067*z to the form j*z + u and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -19\/438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198.2579ml to litres.\nAnswer: 0.1982579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*f + 92*f - 68*f.\nAnswer: 400*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 17?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 568419, 568454, 568503, 568572, 568667, 568794?\nAnswer: 568959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/70)\/((-25)\/10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -3*b - 0*b + 5*o, 2*b + 3*o - 47 = 0. Suppose 36 = 4*f - 4*q, -f + 4*q + b = 2*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/14)\/(5\/(-35)). Suppose 0*b + 4*b = -t*l + 6, 5*l - 3*b - 41 = 0. Calculate the greatest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 9) in base 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*s + 90, -4*m + 4*s - 5*s + 131 = 0. Suppose 29*o - m*o + 15 = 0. Solve 1 = -o*h + 2*c, c - 1 = -5*h + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = -3*r - 1, -5*r + 2*i = -6. Solve 2*n + 0*z - 3*z + 3 = r, 5*z = -5*n + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4) + (7 - (-1 - -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**2\/7 - 166434810*h\/7 - 2308378831644675\/7 = 0?\nAnswer: -27739135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8640) - 2*sqrt(8640))\/(-1*(sqrt(10) - sqrt(160))))\/(((sqrt(6)*1)\/sqrt(3) - sqrt(6)\/sqrt(3)*2)*-5).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2433707817 to the power of 1\/2, to the nearest integer?\nAnswer: 49333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -75, -180, -323, -504?\nAnswer: -723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 4*o**2 - 3*o - 2. Let u be a(3). Let b be (7\/14)\/(u\/(-12)). Solve -4*y + b*g + 10 = 0, -4 = 4*y + 4*g - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-42) - 1*(5 + -8).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 977516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2245 = -152*b + 178*b - 9455. Does 90 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357, -623, -799, -873, -833?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + 2*j**3 + 2*j**3)*(-3 + 2 + 0) - 183798*j + 102*j**2 + 183798*j - 34*j**2 + 83*j**3 + 59*j**2.\nAnswer: 82*j**3 + 127*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 8:31 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r**2 - 52*r**2 + 5*r**3 + 1 + 69*r**2.\nAnswer: 5*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 125741 = -68*x. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4200)\/200 + 40*1 + 136. Suppose -5*t = -4*z + 635, -z - 2*z + 456 = 3*t. Is z != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 328 + -315. Suppose -5*n - j = -v + 7, -5*v + n + 172 = 0. Solve -4*d - 5 = -3*p, -5*p - 3*d = -d + v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37213 = -138*h - 33763 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2507230836?\nAnswer: 2, 3, 11, 575581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13904263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - 1.1. Let r = -0.4 - j. Let i = -0.999958 + r. Round i to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 3*(-4 + sqrt(17)) - (2 + sqrt(102)\/sqrt(6) - sqrt(17)) - (0 + (-5 + (-3*sqrt(102) - sqrt(102) - sqrt(102))\/sqrt(6))**2).\nAnswer: -464 - 46*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1757247245.\nAnswer: 5, 13, 17, 31, 43, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**8\/16800 - h**7\/1260 - h**4\/12 + 19*h**3\/2 - 31*h**2 - 1. Let f(z) be the second derivative of u(z). Factor f(p).\nAnswer: -2*p**2*(p + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 6*x + 5. Let c(u) = -2*u. Let h be c(-2). Suppose 0 = h*z + z. Let j = 5 - z. Give l(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2548 and -388.\nAnswer: 988624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k - 4. Suppose q - 19 = -4*n, k*q = -3*n + 3*q + 9. What is the least common multiple of 5 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (19 + -8 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305458998.\nAnswer: 2, 3, 13, 23, 170267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 39 = -2*i, 0 = 2*k + k + i - 48. What is the tens digit of (210\/k)\/(6\/123)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107211529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-seven halves of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15236 - 15213. Calculate the remainder when 130 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 776 + -538. What is the remainder when c is divided by 236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*j**3 + 18*j**3 - 10*j**3.\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*l = 165*l, -2*u + 5*l + 84 = 0. Calculate the lowest common multiple of 66 and u.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2896?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17482 + -9994. What is the thousands digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4178326 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89197 + 89197 + 29*n**2.\nAnswer: 29*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/5))\/o**(-3\/4))**(-49) assuming o is positive.\nAnswer: o**(-2107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1077851 and 167276.\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1237 + -1237. Solve b*k = 29*k + 116 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -318.6 and 3.\nAnswer: -955.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/77)*x)\/(x**0*x) assuming x is positive.\nAnswer: x**(79\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -85*d - 9*d**2 - 2 + 10\/3*d**3 - 1\/6*d**4. Factor g(j).\nAnswer: -2*(j - 9)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*q = 16 + 12, t + 3*q = 0. Let b(g) = -g**3 + 5*g**2 - 4*g + 6. Let s be b(4). Let k(c) = -c**2 + t - s. Let j(l) = 2*l**2. Calculate k(j(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -4*c**2 + 1\/8*c**4 + 0*c**3 + 0 + 0*c + 1\/20*c**5. Let o(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 23 = -5*d. Suppose 3*q = -4*p - 5, -q - d*p - 5 = 2. Suppose -3*t + 9 = 4*s, 4*t + 17 = 5*s + 2*t. Solve 2*j - m = -q, s*m + 0*m + 24 = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -27*w + 28*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -1.19, 3\/8, 2\/17?\nAnswer: -1.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-4 - -10) + -3 - -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + 14. Let v be t(4). Let a(l) = -2 + 4*l - l + 0*l. Give a(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1074784595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61849.\nAnswer: 127, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.771 + 2.771. Sort 1\/4, -0.4, a, -48 in descending order.\nAnswer: 1\/4, -0.4, a, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1098\/5 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -460e5 (base 16) in base 10?\nAnswer: -286949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**(6\/13)*q))**(16\/3)\/((q**(-12\/5)*q)\/q*q\/(q*q\/(q\/(q*q*q\/q**2))*q)) assuming q is positive.\nAnswer: q**(-1702\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**2 - 42*k + 3. What is j(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 10, z: 8, i: 1}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 6517*l**3 + l**2 - 2327*l**3.\nAnswer: 4190*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5 + 868*r**4 - 3548*r**3 - 2580*r**2 + 15912*r = 0.\nAnswer: -221, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 366945*n**2 - 292*n + 5. Is x(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 - 0.6. Let h = 1 + -0.6. What is the closest to l in 0.2, 1\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -0.13 (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to 7552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + v - 3. Let h be g(4). Let d = 49 + h. Calculate the smallest common multiple of 10 and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 89*s - 5. Give c(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsshhshpshssphhshp. What is prob of picking 1 s and 1 p?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.23689 times -4\nAnswer: 0.94756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w**2 - 8*w + 3. Let k be a(2). Let h be ((-1)\/(-2))\/((-9)\/k)*2. Calculate the remainder when 84 is divided by h\/5 + 21\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*s**3 + 76*s**3 - 201*s**3 + 47*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (108\/(-144))\/(3\/(-148)). Solve 6*v + 13 - d = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20.34, 24, -3, -0.19 in descending order.\nAnswer: 24, 20.34, -0.19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnm when three letters picked without replacement from {o: 1, q: 1, m: 9, n: 3}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005223 rounded to 6 decimal places?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-495)*6)\/(219\/1095).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 5, -1\/4 in decreasing order.\nAnswer: 5, -1\/4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 105*x + 1534.\nAnswer: -(x - 118)*(x + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**5 - 16*s**4 + 10*s**2 - s. Suppose 2 = -4*t - d - 4, 3*d = -6. Let x(w) = -w**4 - w. Let o(g) = t*y(g) + 6*x(g). Solve o(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 38592?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-16)*2 + (-1314)\/(-16). Differentiate -h*y - 63*y + 2*y**2 + 242 + 51*y wrt y.\nAnswer: 4*y - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -42?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**18)**(3\/19))**(-6) assuming t is positive.\nAnswer: t**(-324\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkkz. What is prob of picking 2 z and 1 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 62*o**2 + 4*o - 27. Let r be 8\/(-8)*(-5 + 0). Is z(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**5\/60 + c**4\/12 + 2*c**2. Find w, given that b(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2)*2 - (sqrt(57)\/sqrt(3) + -2).\nAnswer: 2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/9, 2, -28, -628?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*a = -1215, 510*w + a - 486 = 508*w. Are 158 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 0*o + 11*o - 13*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -778 + 3196 = -39*o. Which is smaller: -50 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 14*t**2 - 4*t - 32. Let q be n(-14). Suppose -q*i + 14*i + 20 = 0. Solve 2*s - 1 + 11 = 0, 2*o - 14 = i*s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-200))\/(-1 - (-12)\/15).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2512 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/2821 and 40\/9312121.\nAnswer: 9312121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -15\/4, 4, 2, 1?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6 = 2, -5*f + 919 = -x. Suppose y - f = -3*y. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 5. Let c(f) = -f - 2. Let z(l) = 3*l - 3. Let s be z(3). Let u be 50\/(-15) - 4\/s. Calculate u*k(m) + 11*c(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.379 - 0.09487786?\nAnswer: 2.28412214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16335 and 8186805?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*n**3 + 22021 + 21807 - 43835.\nAnswer: 30*n**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26874 is divided by 896.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.032 and 336110522.\nAnswer: 336110521.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 28363*q**2 - 28365*q**2 - 8*q in the form a*q**2 + h + o*q and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 0*r + 0*r**3 - 1\/7*r**2 + 1\/7*r**4 - 1\/21*r**6 - 2 + 0*r**5. Find s, given that l(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*41.8\nAnswer: 12.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41433751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11996323 to the nearest integer?\nAnswer: 3464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12455564 (base 7) to base 6.\nAnswer: 40234052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 = 15. Let g(n) = -69*n**2 - 4897*n + 133. Let m be g(-71). Which is bigger: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 18*a - 27. Let o be j(16). Solve -3 + 2 = -2*l + m, o*l + m - 6 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55826 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58595*q**2 - 45*q**3 + 10*q**3 + 117181*q**2 - 58586*q**2.\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 120*t**3 - t**2 - 2*t + 3. Let u be j(2). Suppose 122*n - u = 117*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 368956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*c*i**3 - 2*c*i**2 + 591*c*i - 193663*i**3 wrt c?\nAnswer: 40*i**3 - 2*i**2 + 591*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/20*6\/(-63).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51750 is divided by 1724?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.50953 to 2 decimal places.\nAnswer: 11.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 4. Find i such that 2 - u*i + 3*i**2 + 8*i + 3*i = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*p + 916 = 100*p. Let z(o) = -133*o**3 + 2*o**2 - o. Let u be z(1). Let a = u - p. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2335173*n + 1166694*n + 1168477*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2910 and 9894?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:29 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110823 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743*c + 1307749 = -19162*c for c.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.65 - -1.65. Which is the closest to 0? (a) y (b) 25 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (243\/(-12))\/(-3)*(-28)\/(-21). Which is smaller: i or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 15. Suppose 0 = m*q - q - 5. Suppose 0*z - 5*z = -25. Solve 2*b + 3*b + 3 = s, -q*b + 15 = z*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 5*t - 1. Let i be f(-4). Suppose 47 - 2 = i*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m**2 - 11*m**2 + 2*m**2. Let r(f) = -3*f. Calculate w(r(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(4 + -3 - 0\/3). What is the smallest common multiple of 3 and 305\/80*4 + o\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {f: 1, w: 2, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2\/4 + 21769*g\/4 - 87140 = 0?\nAnswer: -21785, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*x - 2*c + 792, -304*x + 4*c - 20 + 4 = -302*x for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*4)\/sqrt(9) + 1.\nAnswer: 1 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3589 + 706*q**4 + 453*q**4 - 436*q**4 + 1764*q**4 wrt q.\nAnswer: 9948*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41520 equal to -4.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1312.447 centimeters to nanometers.\nAnswer: 13124470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 0.8 (c) 1 (d) -766\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*n - 2*n. Suppose -n*c + 0*i + 4*i = -328, 4*i + 91 = c. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 4*a = 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2274, -2273, -2272, -2271, -2270?\n\"Answer: w - 2275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/294 and 137\/13744626?\nAnswer: 96212382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0677 - 0.067663721. What is f rounded to six decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 276 and 65964.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + (-1335)\/6)\/(30\/(-40)). Let u = 417 - v. Suppose -z + 121 = u. Solve 0 = -3*s + z*t + 2*t - 13, 2*s + 5*t = 22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -115*q + 1612. What is v(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-77)\/22)\/(10\/(-620)). Solve -219*h - 10 = -o*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 210*m - 93*m = 16149 + 12066 for m.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250039 is divided by 325?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107*r**3 + 1411*r**2?\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/11, -5, 0, 0.4, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 0 - 321*d - 110*d + 89*d.\nAnswer: -342*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*m - 1414*m**2 + 199*m - 15*m**3.\nAnswer: -15*m**3 - 1414*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3106 is divided by 109?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95368 = -16*v + 463608. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 1, -4, 4660?\nAnswer: 4660","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -799b2 (base 14) to base 8\nAnswer: -1101150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-485)\/291)\/((-10)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*(-10)\/60*4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cde (base 15) in base 16?\nAnswer: 25bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 33034043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-45)\/(-150))\/((-14)\/70))\/((-9)\/186).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -386 - -389. Suppose 0 = 4*k - 3*v - 13, 2*v + 6 = q*k - 3. Let p = -5.6 - -6. What is the smallest value in p, -2\/3, k, 4\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23\/42 + -1\/21. Let q = 0.0863 + 3.9137. Suppose 4*s - 1 - 3 = 0. What is the second biggest value in q, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/437635 and 97\/159140.\nAnswer: 1750540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jijijiijiiijijiiii. What is prob of sequence jii?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, m: 2, g: 2, j: 1}. What is prob of picking 2 m and 1 g?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 16) in base 3?\nAnswer: 101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467 + 467 + 12*l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 15. Suppose 17*k - 14 - 3 = 0. Let d be (-2)\/4*k*-38 - 1. Calculate the greatest common divisor of x and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 29 + 9 = 0. Calculate the lowest common multiple of z and 4\/(-2) - -6 - 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/10*m**3 - 4\/5*m + 8\/5 - 7\/10*m**2.\nAnswer: -(m - 1)*(m + 4)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 2*k + 1. Let m be z(3). Suppose -v - 4 = m*n, 2*n = -2*v - 2*v - 2. Let w be 3\/(-6) + (-2 - (-154)\/28). Solve v = w*h - 5 - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -712\/3 - -1321\/6. What is the common denominator of -37\/33 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-2)*x)\/(x\/(x**1*x)))\/(x\/(x\/((x**(-16)\/x)\/x))*x**21) assuming x is positive.\nAnswer: 1\/x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -3\/29 (c) 68\/11 (d) -0.1 (e) 2 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 + -108?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 45*o + 611. What is the hundreds digit of q(-29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.8 + 0.2. Which is bigger: r or -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(8) + 3 + 3)**2 + -2*(1*sqrt(200))**2*3)*2.\nAnswer: -2264 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 8) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 4)\/(2\/1). Suppose 19*y - 7662 - 2845 = c. What are the prime factors of y?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**8\/560 + n**6\/90 - 5*n**3\/6 - 9*n**2. Let b(g) be the first derivative of c(g). Find the third derivative of b(l) wrt l.\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 + 233*n\/4 - 58.\nAnswer: -(n - 232)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 48.1. Which is the nearest to z? (a) -2\/17 (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.85 - 119.85. Let p = a + 115.9998505. Round p to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-81)*(-6)\/(-8)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 476559.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 7 = -z, 1352*q + 1346*q + 1347*q - 4052*q - z = -49 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 373026 + -26858431\/72. Is o not equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from avvmavaa.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2211, 4427, 6645, 8865, 11087, 13311, 15537?\n\"Answer: s**2 + 2213*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - l = -l. Solve 2*p - 5*v + 10*v = -30, l = 2*p - 5*v - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195 and 260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -118, -264, -458, -694, -966, -1268?\n\"Answer: u**3 - 33*u**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*y + 2*t + 16, t + 6 = 2*y. Suppose y*x - 7 - 25 = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/12 - 2*x**3\/3 - 39*x**2\/2 - x + 24. Let s be q(-5). Let n(r) = -r**2 + 5*r - 2. Give n(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + h**3 - 10748*h + 10748*h.\nAnswer: h**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - y**2 - 2*y + 2. Let n be m(3). Let t = 26 - n. Suppose 4*h = 20, -4*c - 3*h + 49 + 58 = 0. Calculate the remainder when c is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 + 185*x - 373. What is c(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 + -110. Suppose 5*b + j - 6 = 0, -n*j - 4 - 16 = -2*b. Solve -b*w - 5 = 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/310 and -83\/1240.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 5)*(145 - 93*o**2 - 145).\nAnswer: -279*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 930293720 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: -6195234033 + -0.01\nAnswer: -6195234033.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-49) - (-3)\/7. Suppose -2*y + 3*y = w. Let j(u) = -u**2 + u + 12. Calculate j(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.2, 2\/27, 2\/9 in descending order.\nAnswer: 2\/9, 0.2, 2\/27, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*u + 3054 - 2595 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25344*n + 25320*n - 4 + 14 + 2590*n**3 wrt n?\nAnswer: 15540*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -29 - 1\/2*b**2 - 7*b. Calculate i(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/4 - 7*h + 2. Let n(c) = 8. Let q(y) = 7*d(y) + 6*n(y). What is the derivative of q(t) wrt t?\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r - 28. Let w(p) = -2*p + 1. Let j be w(5). Let h = r - j. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, 9, 723, 5, 12 in descending order.\nAnswer: 723, 12, 9, 5, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.42 + -0.22. Let t = 2671 + -2652. What is the biggest value in 3, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*1\/3*-1. Let o be (-4 + t\/(-3))*-1. Suppose -5*l + 5 = -o*l. Solve 2*k = l + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 79. Let w be p(-27). What is the second smallest value in w, -5\/4, -3, 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)*v*v*v*v\/(v**(-7)\/v)*(v**1)**(-1) assuming v is positive.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + 3033001230?\nAnswer: 3033001313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from dskuususduuuiudbuu?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -5, -30, -77, -152, -261?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1900)*-1)**2*-2 - ((sqrt(475)*-1 + -3)*-3)**2.\nAnswer: -8174 - 390*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**4\/2 - 77*z**3\/2 + 197*z**2 + 658*z + 196 = 0.\nAnswer: -2, -1\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12*(((-189)\/126)\/((-3)\/(-8)))\/2\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 114\/(-18) - -1)*-9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -21 - ((7 - 15) + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -346017 and -2.9.\nAnswer: 1003449.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-89)\/(-5) - (-2)\/10. Let v be 1 + 1 + (-28)\/l. Let g = 5553 + -5552. What is the smallest value in -1, v, g, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4007578 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yybggygggygggyygg. Give prob of picking 1 b, 2 y, and 1 g.\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 28 + 0*c**2 + 2\/3*c**3 + 5*c. Let o(n) = n. Determine o(s(r)).\nAnswer: 2*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + 2898*l - 138618. Give j(45).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -21.4, -2 in ascending order.\nAnswer: -21.4, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 151*w**3 - 14*w**3 + 116 - 120.\nAnswer: 140*w**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15474, -123865, -418042, -990897, -1935322, -3344209, -5310450, -7926937?\n\"Answer: -15482*r**3 - r**2 - 14*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23047 is divided by 3839?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6719*s**3 + 3*s**2 - 2*s**2 - 6720*s**3 + 6 - 2*s - 26*s**4 to m*s**4 + y*s**2 + t + c*s**3 + n*s and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 98428.394 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5\/3 + 3928*p**4\/9 - 3860*p**3 + 68480*p**2\/9 - 7184*p\/3 - 1792 = 0. What is p?\nAnswer: -336, -1\/3, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 488*u**2 + 171101*u - 171588.\nAnswer: -(u - 724)*(u - 1)*(u + 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -17, -8, -5, -14, -41?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/165 and 9\/220.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3258 = -5*k, 4*k - 4*c - 1284 = 2*k. Which is smaller: k or 667?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*h = -12441, -h = -63*o + 64*o - 12447. Does 25 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-14) + 228\/42. Suppose 0 = -f*i + 7 + 125. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -56*h + 1453. What is u(26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -14*y**2 - 12*y - 13. Let m be h(-1). Which is greater: -12 or m?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 249 - 246. Find the third derivative of -5*p**2 + g*p + 47*p**3 + p - 94*p**3 wrt p.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 80 = -1 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 120*z**2 - 8*z + 11. Let h be 9 - 28*(-6)\/(-24). Let d be f(h). What is the highest common factor of 19 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152 + -108. Let a = 48 - c. Suppose 2*s = -6, a*s + 34 = -2*y + 3*y. Calculate the remainder when 42 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -450 - -447. Let a(m) = -4*m**3 - m**2 - 11*m - 2. Calculate the remainder when a(x) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2899 + 31857\/11. Let a = -1138615\/4 - -286122. Let g = -1480 + a. Find the common denominator of g and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11580 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*m - 439 + 2023 = 201*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139558958*k**2 - k - 319966394 wrt k.\nAnswer: -279117916*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5101 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*h + 17 = 2*u, -3*u + 17 = h. Suppose -3*x + 10 + u = 0. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -988, -1367, -1748, -2131, -2516, -2903, -3292?\n\"Answer: -m**2 - 376*m - 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 16 - (8 + -5 + 17).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 401*j = -2*q + 586, 34*q + j + 112 = 13*q + 18*q for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19880198 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**7\/1260 + 3*x**6\/40 - 13*x**5\/30 + x**4\/6 - 74*x**3\/3 - 26*x. Let r(k) be the third derivative of j(k). Factor r(z).\nAnswer: -2*(z - 26)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/58915 in 4, -27, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1972*l - 7418*l - 16338 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and 180?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187 - 162. Let x = -0.06 + -20.94. Let r = h + x. What is the nearest to 0.1 in r, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(1\/3))**(43\/5)*(l**0)**(-37) assuming l is positive.\nAnswer: l**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - 18. Let l be a(3). Suppose -3*j - c + 716 = -6*c, j - 5*c - 222 = l. Calculate the highest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - b**2. Let m be j(1). Suppose -5*p + 16 = m, -u - 5*p + 17 = 0. Suppose a = -3*a + 4. Put u, 4, a in descending order.\nAnswer: 4, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o + 42 = 0. Let u be 38\/14 + 4\/o. Suppose u*y - 100 = 3*g + 2*g, -2*y + 5*g = -70. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*f - f + 15 = 0, 2*x = 3*f + 55. What is the lowest common multiple of x and (-121 + 130)*17*2?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9.1585, -2\/3, 8, 0.4, -1, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -57\/2. Let o be (4\/(-6))\/(6\/(-9)). Let m be o*-1*(-2 - -1). What is the third biggest value in h, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -972311251 or -972311252?\nAnswer: -972311252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -615 - -1685. What is m rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/126 - 7\/18. Let q be (-2)\/(-8) + 5\/(-4). What is the closest to q in -3\/7, g, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.14324 - -0.05724. Let h = -0.086 - p. What is the nearest to -1 in h, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -89 and 36.6.\nAnswer: -52.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Suppose -9 = -j*u - u. Suppose 4*q + 2*h - 75 + u = 0, -3*q + 67 = -5*h. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 38 = -12. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 7908?\nAnswer: 7908.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 less than 0.279?\nAnswer: -12.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 6.874 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 9*s**2 - s - 6. Let g be p(-9). What is the units digit of g*1 + (-13 - -27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3654)\/1785)\/(-29))\/((-6)\/(-10)*14\/(-14))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37705.01l to millilitres.\nAnswer: 37705010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6\/203 + -2305\/2436. Let q = -145\/132 - a. Let d = -30 - -29.8. Put 0, q, 2, d in descending order.\nAnswer: 2, 0, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -510008 >= -511031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577012 is divided by 102?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -21. Let k be (g\/(15\/6))\/((-1)\/4). Suppose 2*o - 10 = -3*b, 12*b - k*b + 48 = 5*o. Solve j - o = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 j when four letters picked without replacement from {j: 3, d: 8}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3204804.77 rounded to the nearest 10000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 16*b**2 - 11*b - 40. What is t(-15)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26400?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5443590.499929 + -5443579. Let h = f + -11.5. Round h to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*l**2 - 27*l**2 - 22*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.91 * 0.5.\nAnswer: -3.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/2 - 4511493*u**2\/2 + 36091560*u.\nAnswer: 3*u*(u - 1503815)*(u - 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y = -55*y - 4*y. Suppose 4 = 3*f - 2*r, r - 1 = -3*f + 6*r. Solve 3*z - 5*u - 7 = -23, -4*z + f*u - 12 = y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2*sqrt(136) + sqrt(136)) - -6*sqrt(136)*2)\/(sqrt(16)\/((2*sqrt(20) + sqrt(20))\/sqrt(10))))**2*6.\nAnswer: 58752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326143188 a multiple of 1122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 74, 172, 274, 380, 490, 604, 722?\n\"Answer: 2*r**2 + 92*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*r - 0*w - 15*w + 31*w - 230, 2*r - 11*w + 107 = 0 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8892, 17782, 26672, 35562?\n\"Answer: 8890*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6170 = -22*x + 18*x, x - 1574 = 4*g. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 - -1302?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/7 - 2678*l\/7 - 1510960\/7.\nAnswer: -(l + 808)*(l + 1870)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/12*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -j - j. Let r(u) = -u**3 + 7*u**2 + u - 6. Let o be r(j). Let d be -3*o + 3 + 4. Calculate the greatest common divisor of d and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5472 or -5470?\nAnswer: -5470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2039 + -2038.97842. Round h to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0978 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*k - 135, 0 = 2*k - 3*k - 5*v + 3. Calculate the remainder when 45 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o + 65 = 5*x, -o - 17 = -x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*(-28)\/(-126) - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 104*g + 3020. What is b(-29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-7))\/(38\/(-133))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2266317215 rounded to the nearest one million?\nAnswer: -2266000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3119.689 + 4.\nAnswer: 3123.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3308682 and 494.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 6. Let o(s) = -1. Let j(f) = -3*o(f) + u(f). What is the units digit of j(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 - 2*u**3 + 4*u**3)*(0*u + 3*u - u) - 4*u**4 - 10*u**4 + 16*u**4 + (-3 - 2*u**4 + 13 + 1)*(40 + 19 - 82).\nAnswer: 44*u**4 - 253","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -221*x**2 - 2297 - 196 + 301 + 220*x**2 to y + z*x + r*x**2 and give y.\nAnswer: -2192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 1. Let j(r) = 9801*r - 29408. Let v be j(3). Sort h, v, 18 in decreasing order.\nAnswer: 18, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9395436?\nAnswer: 2, 3, 223, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/3*(-130 + 134). Solve 610 = -m*z + 4*x + 618, -5*z + 3*x = -14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 2 - -5)\/(2\/(-17)). Let f be (l - (1 - -3))*-1. Suppose -43*s + f*s + 635 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73868145.\nAnswer: 3, 5, 13, 17, 22283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 94 = -b, 3*r - 94 = -2*b + b. Suppose 2*g = g + b. Suppose 3*s - g = 5*m, -m + 144 = 5*s - 3*m. What is the greatest common factor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3 + (-4)\/2 + 1534 + 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 58. Calculate the remainder when (-270970)\/(-869) + (-2)\/(-11) is divided by s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*z. Let q = -214 + 219. Solve 0 = -3*l - q*y + 1, z = -4*l - 5*y + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**3 + 526*x**2 - 37936*x wrt x?\nAnswer: 6*x + 1052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/126 and -127\/140?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*g + 48*g = -180. Suppose -g*y + 16*y = -16286. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 272 = 3*w, 75 + 313 = -4*w - 5*n. Let o = 219 + w. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*x - 81*x + 47838. Calculate the remainder when x is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.29 (c) 0.063\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 94764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8848\/1896*(-6)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305 (base 7) to base 5.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g + 1179284 = 1179774 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*26\/(468\/(-30)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - p = -5*p - 62, -5*p - 20 = 0. Let x = 59 - n. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 31*m + 47. Calculate the least common multiple of u(14) and (-6)\/39 + 399*48\/104.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 2. Let c be s(5). Suppose -286 = c*w - 82. Let q = 13 - w. Calculate the highest common divisor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 369 - 367. Solve -5*b + 5 = 0, q = -r*b - 1 + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9588 - -9589. Are 640 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 12 - 16180*h**2 - 2 + 1300*h**2.\nAnswer: -14880*h**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 - -10 - (1 - 272). Suppose -544 = -0*s - 2*s - 4*x, -s - 3*x + m = 0. Calculate the common denominator of s\/80 - 1 - 3 and 85\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let h be (5\/(-2))\/(i\/(-2)). Suppose 0 = 5*m + h*b - 215, -2*b + 0 = 6. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Suppose 4*a - a - 6 = 0. Let y(q) = -3*q**2 - 2*q + 5. Let o(k) = a*j(k) + y(k). Let u(x) be the first derivative of o(x). What is u(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5*y**4)\/(y\/(y**(1\/5)\/y))**(-22))**(-5\/2) assuming y is positive.\nAnswer: y**(-243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*y + 260 = -676. Solve -c = 4, 0 = -q + 7*c - 4*c + y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 768*o**3 + 22*o**2 - 208*o + 13. Let m(a) = 307*a**3 + 9*a**2 - 80*a + 5. Give 5*j(n) - 13*m(n).\nAnswer: -151*n**3 - 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 3*o**2 + 6*o - 25. Suppose -39 + 22 = v - 3*x, 0 = -5*v + x + 13. Determine g(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015137 rounded to four decimal places?\nAnswer: -0.0151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*b = 2*j + 17, -j + 3*b - 14 = 0. Let i(h) = h**3 - 2*h + 2 + 3*h**2 + j - 5. Let y be i(-3). Solve -5*d + 37 = -y*v, -2*v - v - 24 = -3*d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, -45, -161, -387, -759, -1313, -2085, -3111?\n\"Answer: -6*t**3 - t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-30) - 24\/(-10). Suppose -3*v + 5*v - a*t - 22 = 0, 2*t - 20 = -5*v. Is -2*((-105)\/v + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*y - 65*y - 51*y.\nAnswer: -35*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 469801.\nAnswer: 4\/469801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a. Let g(d) = -745*d**2 - 252*d - 6. Let u(q) = -93124*q**2 - 31542*q - 751. Let z(j) = 751*g(j) - 6*u(j). Give z(h(o)).\nAnswer: -18775*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c. Let m be 3*(2 - (0 - -3)). Let l(x) = -5*x. Let s = -2 + 7. Let g(n) = m*k(n) + s*l(n). Let w(j) = 2*j**2. What is w(g(f))?\nAnswer: 50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21616 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from heezezzheezzeezhzz. Give prob of picking 3 h.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**3 + 52785*g**2 + 264030*g + 211240 = 0.\nAnswer: -4, -1, 10562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1020 and 33252.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 0, 2, -2, 5, -4, -2557 in decreasing order.\nAnswer: 5, 2, 0, -2, -4, -72, -2557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -8*n**3\/3 + 279*n**2\/2 - 303*n. Determine m(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in 5, 0.1, -1\/4, 0.06181?\nAnswer: 0.06181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*k + 210 - 46, -2*k = 2*c + 162. Let u(n) = 10*n + 2. Let y be u(0). What is the third smallest value in c, 1\/5, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Let x be (-12)\/6 + b + 0. Let r = 0 + x. Sort -1, r, 5 in ascending order.\nAnswer: r, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(12)\/sqrt(4)*1*5 + -2 + sqrt(27)\/sqrt(81).\nAnswer: 3 + 16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62305\/15 - ((-2)\/3)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*12970\nAnswer: 51880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1467 or 896?\nAnswer: 896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/6)\/((-8)\/(-24) + -1). Let x be (o - 2)*(-2 + 3)\/(-1). Solve 0 = k + x*p + 4, 0 = -p - p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -4)\/(-4)*-2. Let s(l) = 3*l**2 - 4*l + 1. Let y(o) = -13*o**2 + 16*o - 5. What is z*y(j) + 9*s(j)?\nAnswer: j**2 - 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 39166336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4759964228?\nAnswer: 2, 1189991057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 10*c**2 + 10*c - 9. Let t be v(-11). Let l = t + 3. Suppose u - l - 5 = 0. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*i + 15, 0 = -6*a + a - 10. Calculate the lowest common multiple of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/13 (b) 0.12 (c) -105\/107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 80\/10 - (1 - -2). Suppose -x - 60 = -b*l, -5*l + 48 = -l + x. Let t = l - 10. Solve -t*j + 0*j = 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 5:04 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -j + 2077 - 534, -4*u = 4*j - 6252. Suppose -280 = 3*y - j. List the prime factors of y.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 3 - 0)\/1. Let a be (-2 - f)*(14 + -15). Do a and -1\/22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-5)\/(-25) - 5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100854 and 47016?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*v - 1814 = 81*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l - 2*l**3 + 3*l - 7*l**3 + 4*l**3 - 6*l**3 + (2*l - 2*l + 2*l**3)*(2 - 4 + 1) - 60 - 6 + 2*l**3 + 2.\nAnswer: -11*l**3 - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(3*t - 3*t + 3*t**2) + 16*t**2 + 72*t**2 - 15*t**2.\nAnswer: 76*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3763921*w**3 - 13*w**2 + 303756*w wrt w.\nAnswer: -22583526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 25b3 (base 12) to base 8\nAnswer: 10327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 507 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.2 - -18.2. Let n be 114\/(-722)*(-2)\/(-3). Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, x: 2, v: 1, s: 1, n: 1, h: 1}. Give prob of sequence xxav.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37638 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 + 2*z**2 - 2*z + 3. Determine k(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2.8, 147.9 in decreasing order.\nAnswer: 147.9, 5, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4710771666 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200 + -219. Let i be (-1)\/4 - 12\/(-24). Sort 0.5, f, i in descending order.\nAnswer: 0.5, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**5\/20 - k**4\/2 + k**3\/3 + k**2 + 9*k. Calculate o(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.2 and -6.642.\nAnswer: -7.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.2. Let q = 0 + x. Let o = 275 + -3027\/11. Which is the third smallest value? (a) q (b) -1\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + 89174?\nAnswer: 89189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -5*g**3\/24 + 29*g**2\/16 + 264. Find r, given that x(r) = 0.\nAnswer: 0, 29\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 k when three letters picked without replacement from {y: 11, k: 1, v: 1}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + k**2 - 3*k**4 + 22*k + 2*k**3 - 23*k to v*k + i*k**2 + j*k**3 + p*k**4 + u and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-153)\/54)*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 2*l + 14)*(-22 - 67 + 40)*(-129 - 22*l + 129) to b*l + i*l**2 + p and give i.\nAnswer: -2156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 748 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -3\/8, -284\/5, -0.3?\nAnswer: -284\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311188569?\nAnswer: 41, 31980209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.14 - -3.107. What is the third biggest value in u, 2\/19, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93836 is divided by 2234.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3690)\/(-76260))\/(2\/(-4)).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179266349 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(30\/4))\/(2\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from ggiz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1248198, 9985591, 33701378, 79884759, 156024934?\nAnswer: 269611103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 1, b: 5, z: 3, c: 3}. Give prob of picking 1 z and 1 j.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 3. Let m(n) = 2*n - 5. Let g(y) = -2*m(y) + 5*r(y). Let u be g(7). Let z = 10 - u. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r*r)**(1\/6))**(-43) assuming r is positive.\nAnswer: r**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 146 and 113.\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -20019, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.142 - 0.858. Let h = -10 + -21. Put -2, h, s, -4 in descending order.\nAnswer: -2, s, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12908676.713 rounded to the nearest one hundred thousand?\nAnswer: -12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5908180195.\nAnswer: 5, 1181636039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (40\/(-5))\/(-4) + 1. Suppose -4*n + 5 = -h*n. Suppose 304 = 9*x - n*x. Calculate the remainder when x is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2415.42 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46388 is divided by 141?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)\/v*v\/(v*v*v**(-4))*v)\/(v**3)**(-13) assuming v is positive.\nAnswer: v**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18604 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 20\/79, 0.01.\nAnswer: 0.01, 20\/79, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 72.2 - -23.1\nAnswer: 95.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10489374, 10489378, 10489382?\nAnswer: 10489386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -13*s - 1. Let b be g(6). Let n = b + 93. What is the second derivative of n*l**2 - 17*l**2 - 19*l - 17*l wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130182569*v**2 + 58990534*v wrt v.\nAnswer: 260365138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3*j = -199, -543209*j + 123 = -2*x + 5*x - 543206*j for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y. Let v(m) = 4*m**2 - 6*m. Let s(u) = u. Let p(h) = -6*s(h) - v(h). Give w(p(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 12:08 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12010 - 2222?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*q**3 - 2*a + 21036*q**2 - 23524 wrt q.\nAnswer: 3*a*q**2 + 42072*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 3*g + 5*x - 4679 = 0, 0 = -x - 2. Let p = g - -2603. Calculate the least common multiple of 22 and p.\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-4))\/c)\/c)**(-10\/13)*(c*c**(-31))\/c**(-3\/22) assuming c is positive.\nAnswer: c**(-7441\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.1, 5, 3\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i - 40. Let q be t(12). Suppose -9 = -q*r + 4*r - 3*c, r - 4*c = 7. Solve r = -3*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 0*d + 57. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. Let o(r) = r**3 - 4*r**2 + 4*r. Let k be o(d). Let h = -2 + 2. Solve -c = 5*p - 10, c - 8 = -k*p - h*p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15423761 (base 9) to base 5\nAnswer: 3432123201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -283170 rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llljqjjjljvjjjlqqjl. What is prob of picking 1 v, 1 l, and 2 q?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5*s - 111, -3*j + 4*s + 87 = s. Suppose 3*a - j = a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/5 of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7 = -17. Suppose r + 0*r - 4 = -2*l, 0 = z*r + 10. Which is greater: l or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 20 = 0, 2*h + 34*j - 27 = 39*j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 4. Suppose -7 = j*w - 31. What is the second derivative of n - 4*n - n**2 + 0*n**2 + w*n wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n**2 + 0*n**2 - n**2)*(3*n - 2*n - 2*n) + (-99*n + 40*n + 46*n)*(15 - 16 - n + 5 + 2*n**2) to g + q*n**3 + k*n**2 + l*n and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -9) + (-2 - (-1 - -1) - (-78 - -94))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*(270\/24)\/(-15)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433 is divided by 848.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 2, e: 2, p: 3, w: 8, y: 4}. Give prob of sequence cpe.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 79 divided by 111\nAnswer: 79\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/120 - 2*r**5\/15 - r**4\/3 + 3*r**3\/2 + 4*r**2. Calculate the lowest common multiple of k(-7) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15 - (-30)\/(-18) - 13. Factor -n*f**2 - 4\/3*f - 4\/3.\nAnswer: -(f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (5 + -9 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -34*s - 1. Is h(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o - 15 = q, -o + 10 = -q. Suppose -o*i + 83 + 67 = 0. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2813.57 and 8.\nAnswer: -22508.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -41?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30476 is divided by 957?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5 - 904*p**4 + 4436*p**3 - 3536*p**2 = 0. Calculate p.\nAnswer: 0, 1, 4, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*p - 1950 = 17*p. What is the remainder when 115 is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*u**6 + 37*u**4 - u**2 - 4*u + 558 wrt u.\nAnswer: -1080*u**3 + 888*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 160 + -738805?\nAnswer: -738655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 17*q - 57. What is a(2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11000221222222 (base 3) to base 2\nAnswer: 1000001011100111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -t - 13, -3*b + 5*b + 2*t - 6 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 21*h + 79. Give r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3537 is divided by 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-88)\/18)\/(-2))\/(124\/1116)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 + 32*s - 1. What is r(15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88649723, 88649721, 88649719, 88649717, 88649715, 88649713?\nAnswer: 88649711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2))**(-1\/63)*(c\/(c\/c**(-1)*c))**48*((c**(-1\/4))**(-8))**25 assuming c is positive.\nAnswer: c**(-5795\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3))**(2\/5)*m**6\/m**7 assuming m is positive.\nAnswer: m**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12977 and 25175380?\nAnswer: 25175380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7645738 is divided by 283175?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 39, -14, 1, 6\/215, -0.4, 2\/11, 0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 1009440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3016\/2 - ((-1 - 19)\/2 + 13). What is the highest common factor of 70 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20241 - -202?\nAnswer: -20034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2545433 + -11?\nAnswer: -2545444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -1 - (-40 - -31). What is the greatest common factor of p and 425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*j**3*o*x**3 - 2*j**3*o*x**2 - 7*j**3*o - 2*o*x**4 - 3*x**3 - x**2 wrt x?\nAnswer: 60*j**3*o - 48*o*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 947358 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 846.63 and 31964327?\nAnswer: 31963480.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, 5, 1, -1 in ascending order.\nAnswer: -1, 1, 5, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/15 + 2 - (-1694)\/35. Suppose 7*l = -l + w. Suppose -13 - 11 = -2*a. Calculate the highest common divisor of a and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 566, 1175, 1784, 2393, 3002, 3611?\n\"Answer: 609*s - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23\/60 - 2\/15. Are i and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7343, -29227, -65635, -116543, -181927, -261763, -356027?\n\"Answer: 4*q**3 - 7286*q**2 - 54*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215320904.\nAnswer: 2, 89, 302417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**4\/8 + 23*r**3\/6 - 15*r**2. Differentiate b(z) wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-117.7932\nAnswer: 11.77932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**5\/60 + g**4\/6 + 7*g**3\/6 + g**2. Let w be x(4). Suppose w*q - 5 = 2*q. Sort q, -6, -3 in ascending order.\nAnswer: -6, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75 - (-1960)\/28 - 44\/(-6))\/(1\/12).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 2*s - 2*s)*(0*s**2 + s**2 + 0*s**2) + s + s**3 - s + (-6*s**3 + s**3 + 3*s**3)*(2 - 2 + 2).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**3 - 2*t**2 + t. Let r be (1\/(-3))\/((-2)\/6). Suppose -6*m = 3*w - 4*m - 21, 0 = w + m - 7. Calculate the remainder when w is divided by i(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/23 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-2))**(13\/4))**48)**31)**(-4\/15) assuming n is positive.\nAnswer: n**(12896\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 9:57 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20886 is divided by 173?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 - 3*h**2 + 2*h**3 + 4*h - 2 + 8. Let x be o(-4). Solve r - x = f + f, 0 = 5*r + 4*f + 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60 - 1329196\/22154)*-19.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 356 (base 10) to base 5\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.4, 7, 4, -4, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 - -112. Let j(q) = -2*q + 1 - m*q**2 - 5*q + 7*q. What is j(1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5*l - 5, -p - 331*l + 332*l = 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 39489*d - 20. Let k(i) = 1403616760*i - 710892. Calculate 177723*b(a) - 5*k(a).\nAnswer: 19747*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 3)*(q**2 - 4*q**2 - 3*q**2) to w*q**2 + d + g*q and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 7*u + 13*u)*(-1 - 1 + 1)*(3*u - 2 + 2).\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 57\/5 (c) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 10. Let q be a(-5). Let w be 10\/4*(-84)\/q. Suppose 3*t - 5*t = w. Sort -5, t, 3 in ascending order.\nAnswer: t, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**6\/120 + 9*f**5\/20 - f**4\/8 + 73*f**3\/6 + 7505*f**2. What is y(27)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9801 is divided by 4875.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 329 * 0.1\nAnswer: 32.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37855 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -52*f**2 + 101490*f + 27328 = 0.\nAnswer: -7\/26, 1952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppaapaa. Give prob of picking 1 a and 3 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/14)\/((-9)\/126). Suppose -3*o**5 - 72 + 9*o**m + 3*o**2 + 72 - 9*o**3 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 0*r**3 + 1\/4*r**4 - 1\/20*r**5 + 0*r**2 + 0 + 2*r. Find the third derivative of t(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1800) + sqrt(1800)*2)*-5)\/(sqrt(54)\/(sqrt(27)\/sqrt(3)) + ((sqrt(864) - sqrt(864)*-2) + sqrt(6) - sqrt(6))).\nAnswer: 600*sqrt(3)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 141339545.8 to the nearest 100000.\nAnswer: 141300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -26. Sort l, 4, 6 in descending order.\nAnswer: 6, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1838 and 119.90657?\nAnswer: 1957.90657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-1)\/(-2))\/(-7). Let v = b + -5\/14. Let t = -4.9669 + -0.0331. Sort t, v, -0.2.\nAnswer: t, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-2)\/o))\/(o*o**(-4)))\/(((o\/((o\/(o\/o**(2\/3)))\/o))\/o)\/o**(-4)) assuming o is positive.\nAnswer: o**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 1076.7\nAnswer: 6460.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 7*n**5\/20 + 7*n**4\/24 + 7*n**3\/3 + 114*n**2. Let j be v(-4). What is the highest common factor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(12\/11)\/(l\/l**4)*l*l*(l**(-33)*l)\/l*l*l**(-44))**(-10) assuming l is positive.\nAnswer: l**(7690\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1366965 is divided by 683453?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 375653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671484002.\nAnswer: 2, 7, 47963143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*z + 3*j - 9, -j + 4 = 0. Let q be 3*(8\/(-6) + z). Let i be 2\/(-2*q\/(-2)). Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-2\/5)*a*a**(-6\/7)*a*((a\/a**(1\/4)*a)\/a)**43 assuming a is positive.\nAnswer: a**(4871\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q + 10, -3*l - 2*q + 25 = 0. Suppose -120 = -l*t + 5. Solve -v - 4*v = -t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 23. Let u(p) = -14*p - 4 + 3 + p**2 + 16*p - 1. What is the tens digit of u(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 12:06 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58.988 + -54.3. Let r = d - -0.012. Round r to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = -2055*b + 2044*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3131*k**4 + 252*k**3 + 9*k - 58400 wrt k.\nAnswer: 37572*k**2 + 1512*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30300311 (base 7) to base 9\nAnswer: -4662388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1729 - 1033. List the prime factors of z.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -32 - (379 - 475).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120444921 a multiple of 691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/12)\/((-111175)\/44470)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-10)\/(-8) + -1. Let y = -0.1 - -0.1. Let n be (1\/((-60)\/294) + 5)\/(124\/(-155)). Which is the closest to y? (a) t (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -47, -108, -203, -338, -519?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2270755191 and 55.82.\nAnswer: 2270755246.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1744650 and -44\/3877.\nAnswer: 1744650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45 or 400\/9?\nAnswer: 400\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19\/8 + 13\/8. What is the nearest to o in 0.3, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q. Let m(s) = 3*s. Suppose a + 22 = -a - 5*j, -3*a = -2*j - 5. Give a*m(i) - 2*x(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**3*s**3 - 37*c**3 - 3142*c**2*s**3 - 120*c*s**2 + c + 1865*s**3 - 2*s**2 wrt c?\nAnswer: -18*c*s**3 - 222*c - 6284*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16186175, -32372351, -48558527, -64744703, -80930879?\n\"Answer: -16186176*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 723 divided by -1442.\nAnswer: -723\/1442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -0.13.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + l - 60, -6*q - 2*l - 300 = -q. Let x = q + 39. Let i = x - -21. Which is the smallest value? (a) 11 (b) -2\/23 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4 + 6*g**3 + 16*g**2 - 24*g - 32 = 0.\nAnswer: -2, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*m + 2*q, -m + 9 = -2*m - 3*q. Let y = m - 9. Is -3 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faff when four letters picked without replacement from {f: 6, a: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 + -745\/9. Let y = -158 - -158.3. Which is the closest to g? (a) -0.5 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -383 + 382.512. Let d = y + 0.49304. What is d rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 5*c**8\/672 - 13*c**7\/140 + 7*c**6\/15 - 17*c**5\/15 + c**4 + 4*c**3\/3 - 46*c**2. Factor j(l).\nAnswer: (l - 2)**4*(5*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -350.39 (b) -2\/15 (c) -8\/5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.569 * -0.1918.\nAnswer: 0.4927342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -198 take away -0.0693314?\nAnswer: -197.9306686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, -34, -105, -194, -295, -402, -509?\n\"Answer: q**3 - 18*q**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w. Let h(u) = 21*u - 9*u**2 - 8*u + 36*u**2 - 13*u. What is h(g(n))?\nAnswer: 972*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.402603 millennia to decades.\nAnswer: 340.2603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) -4 (c) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o - 6 = -3*z + 27*o, 5*o = -5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4371725 (base 8) to base 11.\nAnswer: 733a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -153*d**4 - 163.\nAnswer: -612*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*l - 18, 21 + 0 = 3*z - 5*l. Solve 4*g = z*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 + 10\/(-2))*-48 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4\/494569029 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3 - 2 - 2*p**2 + (-4 - 5 + 3)*(0 - 3 + 4)*(7*p + 3*p - 2*p)*(18 - 4*p - 18).\nAnswer: 190*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 13566?\nAnswer: -4069.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(3\/6) - -1. Suppose -i*j = k - 9, 2*k + 3*k + 5*j - 75 = 0. Suppose -2*f + 4*f - k = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:03 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 13. Let v = 2 + -9. Let d be (-19)\/v + (-2)\/(-7). Solve n = 3*q + q + g, -d*q - 2*g = -16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*((-1 + 1 + r)*(2 - 30 + 103) - r + 0*r + 3*r)*(-2 + 3 - 3).\nAnswer: 154*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/7 - 491746*t\/7 + 491744\/7.\nAnswer: 2*(t - 245872)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, r: 3, z: 4, m: 1}. Give prob of sequence zt.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -81. Let q = 22 + -24. What is the nearest to h in q, -1\/5, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66858830989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 490?\nAnswer: 490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmzammmzgzazzx. What is prob of picking 1 g, 1 x, and 1 a?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47530 = -28*f - 47390. Determine q, given that 0 + 1\/5*q**f + 9\/5*q**3 + 7\/5*q**2 + 2\/5*q + q**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:59 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 20*l = 4. Suppose -l*x - 28 = 2*p, 0 = p + x + 3*x + 24. Let z = p + 14. What is the lowest common multiple of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**4\/12 + 2*n**3\/3 - n**2\/2 - 2*n + 83. Suppose 5*j - 34 = 16. Suppose -2*d + 0*d = -j. Determine z(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus 1493012?\nAnswer: -1493018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -458 + k + k**3 - 453 - 10*k**2 + 902. Determine o(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16973*a**2*p**3 + 1879*a*p**3 + 3*a wrt a.\nAnswer: -33946*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**4 + 16*w - 4*w**4 + 3*w**2 - 15*w + 8 - 5 to t*w**2 + f*w + u + q*w**3 + p*w**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.17557ml to litres.\nAnswer: 0.07517557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240025746 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.64085 and -12.\nAnswer: -67.6902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 u, and 1 s when four letters picked without replacement from {s: 4, n: 6, g: 3, u: 3, l: 2, f: 1}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*20\/18)\/((-4)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3, 0.2, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 846776.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (180\/(-25))\/9*5*(7470\/40)\/(-9)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(5\/(-7))\/(12\/(-14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m + 39*m = -3*y + 25, -5*y = m - 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 21*j. Let o be z(-1). Let f = 42 + o. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(416) - sqrt(26)))\/(sqrt(8)\/sqrt(4)*5).\nAnswer: 18*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 - 7*g - 3. What is the tens digit of s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4435 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64488 is divided by 464?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5 = -4*s, -2*b + 15 = 3*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 + 1 - 6*a**2 - 3 + 5*a**4 - 1 as l*a**2 + t*a**3 + m*a**4 + j + u*a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = 1577*a - 1564*a. Suppose 5*d - 40 = -15. Suppose 5*f + 12 = 2*f, 0 = -d*y - 2*f + 372. Calculate the greatest common factor of y and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 27587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -657 * 43\nAnswer: -28251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 11 - 52\/(-52).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 9*b**2 + 2*b - 18. Let u be n(9). Suppose 5*r - 2 = 2*h - 0*h, -10 = -5*h + 5*r. Suppose 9*f - 5*f + h = u. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010.2236 times -0.6?\nAnswer: -1206.13416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (46 + 67 + 11)*(-1 + 1 - 4*d**3 + (2*d - 5*d + 2*d)*(-1 + 1 - 2*d**2)) as l*d**3 + t + s*d + r*d**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -6, -4, -7, -2, 5, 446 in descending order.\nAnswer: 446, 5, -2, -4, -6, -7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28709 and 5?\nAnswer: 143545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3168)*2)\/sqrt(11).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3748 - -26188\/7. Calculate the common denominator of 93\/70 and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**5\/45 + 22*f**4\/9 + 968*f**3\/9 + 73*f**2. Factor a(d).\nAnswer: 4*(d + 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10 + 48\/5 - 777\/(-5). What is the greatest common factor of 6355 and c?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 + 11*g - 3. Let f(i) = 5*i**2 + 12*i - 2. Let y(d) = 3*f(d) - 4*t(d). Determine y(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 409 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1298*h - 341 - 23563 = -196*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/50)\/((-1*4\/(-6))\/2)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + (10 + 4 - 13). What is the greatest common divisor of 4 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -124 + 88. Solve 10 - 22 = p*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Suppose 0 = -0*r + 4*r + 4, 4*j = 4*r + 128. Let u = -29 + j. Solve u*t = -4*y - g + 8, 4 = t + y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2815.74*1.83.\nAnswer: -5152.8042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:00 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4886169157 to the nearest integer?\nAnswer: 1697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022644299 to 6 decimal places.\nAnswer: -0.000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -14633 in increasing order.\nAnswer: -14633, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(390\/(-32)) - 10\/25\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 8*o + 6. Let t be k(-5). What is the least common multiple of t\/(-2)*((3 - 5) + 4) and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 2. Let t be b(2). Suppose 2*c - 3*d + 0*d = 9, -3*d + 9 = 4*c. Suppose -v + 4*k + 15 = -t*k, k + 1 = c*v. Is -1\/16 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.38 greater than -406012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.7 + 4.7. Let b = 0.3 + 0.2. What is the biggest value in v, -4\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*i + 120, 5*i - 3*o + o - 85 = 0. Calculate the remainder when 52 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 + 2*t**5 - 3*t**5 - 2*t + 2*t**5 + 2*t + (-t - 2*t + 2*t)*(-6*t**4 + 3*t**4 - 3*t**4).\nAnswer: 9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**4\/12 - 2*q**3 + 5*q**2 - 16. Give a(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.71 - 0.29. Which is greater: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, 3, 4 in ascending order.\nAnswer: -92, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 837\/16 or 53?\nAnswer: 837\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2132\/7 + -304. What is the third smallest value in 3, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 2*d - 5*d**2 - d**2 - 27 - 25 + 73.\nAnswer: -6*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(-5*sqrt(4)\/sqrt(2)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u - 9. Suppose 0 = 6*a - 13*a + 14. Suppose 0 = -v - 0*o + a*o + 3, 0 = -3*o. Let r be h(v). Calculate the highest common divisor of r and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 1374 = -6*t. Let v = t + -221. What is the remainder when 18 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 - 625236*i\/7 + 48865006962\/7.\nAnswer: 2*(i - 156309)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*i**3*w**2 + 2609*i**3*w - 125*i**3 + 10*i**2*w**2 + i**2*w - 5*i*w**2 + 5936*i + w wrt i?\nAnswer: 36*w**2 + 15654*w - 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 62?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q + 3. Let t(l) = -112*l**2 + 11*l + 12. What is 3*s(v) - t(v)?\nAnswer: 112*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1182195 and 6.\nAnswer: 2364390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6110 and 17874805.\nAnswer: 3055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**3\/3 - u - 5. Let x be i(-3). Solve -2*y - 2*y = x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 38 = -5*x + 1, 4*x - 32 = 2*l. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 7*g + 4. Let a be r(6). Suppose 2*h + 15 = 5*l - 1, 0 = -5*l + 5*h + 25. Sort 0, l, a.\nAnswer: a, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -880936, -880935, -880934, -880933, -880932?\nAnswer: -880931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 7*u**2 + 2*u + 3. Suppose 42 - 146 = -13*w. Let t be j(w). Let q = t - -34. Which is the second biggest value? (a) q (b) -0.1 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 664, 2841, 6478, 11581, 18156, 26209, 35746, 46773?\nAnswer: 59296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -13 - (-44 + (12 - 12))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -1, 4, -4, -213, 1660, -3\/10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v - 15. Let n be h(6). Suppose -3*s - n*d = 28799994, -3*s + 2*d = -7198149 + 35998153. What is s rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2936*j**6 - 435*j**2 - 3*j - 2 wrt j.\nAnswer: 352320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 12*g**2 + 107*g - 11. What is the tens digit of v(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 - 160*w**2\/3 + 2612*w\/3 - 7952\/3.\nAnswer: (w - 142)*(w - 14)*(w - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulqqsupuspnsus. Give prob of sequence ln.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -80432*y. Let f(c) = -c**2. Give f(a(n)).\nAnswer: -6469306624*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f**2 - 2*f - 4. Is n(3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eae when three letters picked without replacement from {e: 4, a: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.16 + -0.14. Let q = -0.3 - -0.5. Let g = r - q. What is g rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-8)\/p**7*p**8\/((p**(-3\/7)\/p)\/p) assuming p is positive.\nAnswer: p**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33499 - -33011. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -10.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/3 - 14114*q**3 + 5263650*q**2 - 495164502*q.\nAnswer: 2*q*(q - 20793)*(q - 189)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 780250160 a multiple of 1426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 20 = -5*b, 4*b - 25 = -25*x + 20*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 21 - 1 = 16*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/5529 and 137\/12?\nAnswer: 22116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2) + (9 + -12 - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 177381 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -71 + 71 - 2*q**2. Let u(y) = 3*y**2. Give d(u(f)).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 2*s + 215. Let q be i(0). Let m = 220 - q. Solve -2*x - 33 - 2 = m*a, 3*a = 3*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(5\/2)*x)\/(x\/x**(-8\/5)))\/(x**(-2\/21))**(-34) assuming x is positive.\nAnswer: x**(-491\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 7:00 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 + 1182094*i**2 - 4728373*i\/2 + 1182093.\nAnswer: -(i - 2364186)*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/860*618\/75. Let f = -6\/43 + k. Is f > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 2*k**2 + k - 1. Let m be n(-3). Let z(s) = -s**2 - 12*s + 13. Let t be z(m). Suppose -6*i + 4*i = t. Which is smaller: -2\/17 or i?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 619 - 597. Solve 5*t + r = -4*l, -4*t - 3 - 5 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -55*t**2 - 3*t + 14. Let g(z) = 53*z**2 + 4*z - 18. Give -3*g(c) - 4*m(c).\nAnswer: 61*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**4\/6 + 33*s**2 + 2923*s. Let f(t) = -14*t. Determine a(f(i)).\nAnswer: -392*i**2 + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/2)\/(-21)*3\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2 + 42*o + 24. Let r be i(11). Solve -2*l - 22 = 4*z, r*z + 5 = -0*l + l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6287 divided by 849\nAnswer: 6287\/849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/11 + (-29 - -26)\/((-3)\/27).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -169515059 - -169514875.999913. Let p = w + 183. What is p rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/42)\/(2\/16*-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -66. Let k = 9 + 9. Is w bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1219138 divided by 71714\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 - -155. Let i = 26 - r. Solve 5*t - 31 = i*j, 6*t + j = t + 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b**2 + 46*b + 426. Give f(-8).\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - n - 28. Let b be g(9). Let z = -40 + b. Solve z*v + 12 - 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*m**2 - 10*m**2 + 0*m**2)*(-240*m**2 + 507*m - 507*m) to j*m**4 + c*m + u*m**3 + h + b*m**2 and give j.\nAnswer: 4080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6947, -6987, -7027, -7067?\n\"Answer: -40*d - 6907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(6))\/sqrt(2) + 0.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -2. Suppose -5*z + n*h + 316 = -201, -z + 4*h + 113 = 0. Suppose -95 = -4*f + z. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/4)\/(-3))\/(450\/360)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0. Let c(j) = -j**3 - 36*j**2 + 73*j - 116. Let u be c(-38). What is the fourth biggest value in 3, d, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:14 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**4\/21 - 4724*f**3\/7 - 70904*f**2\/21 - 14188*f\/7 + 6078 = 0.\nAnswer: -3, 1, 7091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 496 and 2672?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**2 - 108*v + 1672 = 0. What is v?\nAnswer: -38, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + (sqrt(475)*1 - sqrt(475))**2 + 4 + (4*sqrt(76)*-1*-4)**2.\nAnswer: 19467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 20 = 4*r, 5*y + 22 = 2*r - r. Solve u - r = -7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2243 or 6983?\nAnswer: -2243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -831 - -511. Let f be (18\/15)\/(1 - (-308)\/k). Suppose 0 = 33*w - f*w + 4. Put 25, w, 0 in increasing order.\nAnswer: w, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 4 - 2) + (-15 - -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1))**(1\/27)*o**(1\/6)*(o*(o\/(o**(2\/19)\/o))\/o)\/o*o*((o*o*(o\/o**1)\/o*o)\/o)**(1\/7)\/(o*o*o**(2\/7)*o*o**(-3\/7)) assuming o is positive.\nAnswer: o**(-521\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}